QJontell Intuerattg IGihrarg iflhara, 3? cm Hnrk Yk-*>-&u^&* ot3)oc yntv»evVfe Cornell University Library HG8784.U5 A5 1910a United States life tables 1890. 1901 1 3 1924 032 540 944 olin Overs The original of this book is in the Cornell University Library. There are no known copyright restrictions in the United States on the use of the text. http://www.archive.org/details/cu31924032540944 DEPARTMENT OF COMMERCE BUREAU OF THE CENSUS SAM. L. ROGERS, Director UNITED STATES LIFE TABLES 1890, 1901, 1910, and 1901-1910 Explanatory Text, Mathematical Theory, Computations, Graphs, and Original Statistics ALSO Tables of United States Life Annuities Life Tables of Foreign Countries Mortality Tables of Life Insurance Companies Prepared by James W. Glover Expert Special Agent of the Bureau of the Census WASHINGTON GOVERNMENT PRINTING OFFICE 1921 n CONTENTS, SUMMARY OF PARTS. Page. Introduction 17 . I. — Nontechnical Description and Explanation or Life Table Functions, Graphs, and Other Parts of Text and Tables 23 II.— United States Life Tables: 1890, 1901, 1910, and 1901-1910 51 III. — Life Tables of Foreign Countries and Mortality Tables Based on Experience of Life Insurance Companies. 201 IV. — Graphs of Life Table Functions 241 V. — Tables of Life Annuities, Annual Premiums, Single Premiums, and Commutation Columns Based on Life Tables for White Males and for White Females in the Original Registration States: 1910 295 VI. — Mathematical Theory of Construction of Life Tables 327 VII. — Description of Calculation of Life Table for Males in the State of New York, 1910, Including Photographs of Graphs, Diagrams, and Adding Machine Tapes Used in Connection with Numerical Computations 367 Tabular Outline for Construction of Each Life Table 415 VIII. — Original Statistics '. 421 Index 477 DETAILED TABLE OF CONTENTS. INTRODUCTION. Section. Page. 1. Division of text with reference to use of life tables 17 2. Extent of life tables 17 3. Infant mortality tables 17 4. Policy adopted in construction of tables 18 5. Purpose of life tables 18 6. Questions and answers 18 7. The United States life tables 18 8. Graphic representation of life tables 19 Section. Page. 9. Mortality in other countries ". 19 10. Mortality tables of insurance companies 20 11. Life annuities, premiums, and commutation columns 20 12. Theory of life table construction 20 13. Detailed construction of one life table 21 14. Variations from standard construction 21 15. Original statistics 21 PART I. -NONTECHNICAL DESCRIPTION AND EXPLANATION OF LIFE TABLE FUNCTIONS, GRAPHS, AND OTHER PARTS OF TEXT AND TABLES. EXPLANATION OF LIFE TABLE FUNCTIONS. Section. Page. 16. Life table headings 25 17. Age interval, x to .r+1, column 1 25 GENERATION OF 100,000 BORN ALIVE. 18. Number of survivors, l x , column 2 25 19. Number dying, d x , column 3 26 20. Rate of mortality, lOOOg^, column 4 26 21. Expectation of life, e x , column 5 26 STATIONARY POPULATION. Section. 22. Population in current age interval, ~L X , column 6 . 27 23. Measure of vitality, ^ x —Ii x /d x , column 7 27 24. Population in current and all older age intervals, T x , column 8 28 25. Death rate per thousand, lOOOZx/Tz, column 9 28 26. To determine average annual death rate per thousand 29 QUESTIONS AND ANSWERS ILLUSTRATING USE OF TABLES AND GRAPHS. Section 27 ction. '. Scope and purpose of these questions and answers. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 29 RATES OF MORTALITY. Annual rates of mortality 29 Graphic representation of rates of mortality 29 Annual rates of mortality under 1 year 30 Comparative rates of mortality 30 Characteristic changes in rates among males 31 Monthly rates of mortality 31 Comparison of change in rates of mortality among males and females 32 Urban and rural rates of mortality 33 Significant irregularities in rates of mortality 33 Mortality lower among women than among men 33 rates of mortality — continued. Section. Page. 38. Variation of rates of mortality with age 34 39. Comparison of mortality among whites and Negroes 34 40. Changes in rates of mortality in 1890-1901 compared with those in 1901-1910 34 41. Rates of mortality in United States compared with those in other countries 34 NUMBER OF SURVIVORS. 42. Number of survivors of a generation of 100,000 born alive . 35 43. Variation of number of survivors with rate of mortality ... 36 44. Diagram of survivors under 1 year 36 45. Diagram showing deviation from the mean 36 46. Variations in form of curve of survivors 37 (3) 4 CONTENTS. PART I.—NONTECHNICAL DESCRIPTION AND EXPLANATION OF LIFE TABLE FUNCTIONS, GRAPHS, AND OTHER PARTS OF TEXT AND TABLES— Continued. QUESTIONS AND ANSWERS ILLUSTRATING USE OF TABLES AND GRAPHS— Continued. NUMBER OP DEATHS. Section. Page. 47. Incidence of deaths in a generation of 100,000 bom alive. . 37 48 . Variation of number of deaths with number of survivors and rate of mortality 37 COMPLETE EXPECTATION OF LIFE. 49. Complete expectation of life at birth 37 50. Maximum expectation of life 38 51. Variation of expectation of life 38 52. Change in expectation of life between 1901 and 1910 38 53. Comparison of expectation of life in different classes 39 STATIONARY POPULATION. 54. Its production and the general conditions existing in it 39 55. Age distribution of stationary population 40 56 . Expectation of life at any age and population in current and all older age intervals 40 57. Total white population and total Negro population com- pared 40 MEASURE OF VITALITY. 58. Meaning of measure of vitality 40 59. Relation between measure of vitality and rate of mortality. 41 60. Maximum values and irregularities 41 61. Changes in maxima 41 62. Monthly measure of vitality 42 DEATH RATE PER THOUSAND. 63. Average death rate of the total population at birth 42 64. Average death rate in the actual population 42 65. Comparison of death rates in actual with those in sta- tionary population 43 death rate per thousand — continued. Section. Page. 66. Average death rate for sections of the stationary population. 43 67. Variation of average death rate with expectation of life. . . 43 68. Change in average death rate with age 43 LIFE TABLES OF FOREIGN COUNTRIES. 69. Countries, periods, graphs, and functions shown 44 70. Rate of mortality in foreign countries 44 71. Number of survivors out of 100,000 born alive 44 72. Number of deaths out of 100,000 born alive 44 73. Expectation of life in foreign countries 45 74. Measure of vitality in foreign countries 45 MORTALITY TABLES OF INSURANCE COMPANIES. 75. Tables shown and where they are used 45 76. Distinction between insurance and census tables 46 77. Graphs of insurance mortality tables 46 78. Rates of mortality among insured lives. 46 79. Number of survivors among insured lives 46 80. Number dying among insured lives 47 81. Expectation of life among insured lives 47 82. Measure of vitality among insured lives 47 PARTS v TO VIII. 83. Life annuities, premiums, and commutation columns 47 84. Mathematical theory of construction of life tables 48 85. Description of calculation of one life table and tabular out- line for construction of each life table 48 86. The original statistics 49 PART H— UNITED STATES LIFE TABLES : 1890,1901, 1910, AND 1901-1910. LIFE TABLES FOR THE ORIGINAL REGISTRATION STATES. Table. Page. 1. Both sexes: 1901 52 2. 1910 54 3. Males: 1901 56 4. 1910 58 5. Females: 1901 60 6. 1910 62 7. White males: 1901 64 8. 1901-1910 66 9. 1910 68 10. White females: 1901 70 11. 1901-1910 72 12. 1910 74 13. Negro males: 1901 76 14. 1901-1910 78 15. 1910 80 16. Negro females: 1901 82 17. 1901-1910 84 18. 1910 86 19. Native white males: 1901 88 20. 1910 90 21. Native white females: 1901 92 22. 1910 94 LIFE TABLES FOR THE ORIGINAL REGISTRATION STATES — COntd. Table. Page. 23. Foreign-born white males: 1901 96 24. 1910 98 25. Foreign-born white females: 1901 100 26. 1910 102 27. White males in cities: 1901 104 28. 1910 106 29. White females in cities: 1901 108 30. 1910 110 31. White males in rural part: 1901 112 32. 1910 114 33. White females in rural part: 1901 116 34. 1910 118 LIFE TABLES FOR SELECTED REGISTRATION STATES. District of Columbia: 35. Negro males: 1901-1910 120 36. Negro females: 1901-1910 122 Indiana: 37. Males: 1901 124 38. 1910 126 39. Females: 1901 128 40. 1910 130 CONTENTS. PART II.— UNITED STATES LIFE TABLES: 1890, 1901, 1910, AND 1901-1910— Continued. LIFE TABLES FOR SELECTED REGISTRATION STATES — COntd. Table. Page. Massachusetts: 41. Males: 1890 132 42. 1901 134 43. 1910 136 44. Females: 1890 138 45. 1901 140 46. 1910 142 Michigan: 47. Males: 1901 144 48. 1910 146 49. Females: 1901 148 50. 1910 150 New Jersey : 51. Males: 1901 152 52. 1910 154 53. Females: 1901 156 54. 1910 158 New York: 55. Males: 1901 160 56. 1910 162 57. Females: 1901 164 58. 1910 166 LIFE TABLES FOR SELECTED REGISTRATION CITIES. Table. Pa E 6 - Boston: 59. Males: 1901 168 60. 1910 17 ° 61. Females: 1901 172 62. 1910 174 Chicago: 63. Males: 1901 178 64. 1910 178 65. Females: 1901 180 66.. 1910 182 New York: 67. Males: 1901 184 68. 1910 186 69. Females: 1901 188 70. 1910 190 Philadelphia: 71. Males: 1901 192 72. 1910 : 194 73. Females: 1901 196 74. 1910 198 PART m.— LIFE TABLES OF FOREIGN COUNTRIES AND MORTALITY TABLES BASED ON EXPERIENCE OF LIFE INSURANCE COMPANIES. LIFE TABLES OF FOREIGN COUNTRIES. Section. Page. 87. Foreign countries and epochs 203 88. Mortality functions and graphs 203 89. Tabular form facilitates comparison of values 203 LIFE TABLES. Australia: 1901-1910. Denmark: 1906-1910. England: 1901-1910. France: 1898-1903. Germany: 1901-1910. Holland: 1900-1909. India: 1901-1910. Italy: 1901-1910. Japan: 1898-1903. Norway: 1901-1910. Sweden: 1901-1910. Switzerland: 1901-1910. United States: 1901-1910. (Whites in original regis- tration states.) Table. Males: Annual rate of mortality per thousand, 1000g z 204 Number of survivors out of 100,000 born alive, l x 208 Number of deaths out of 100,000 born alive, d x 212 Complete expectation of life in years, e x 216 Measure of vitality, ~K X 220 Females: Annual rate of mortality per thousand, 1000g x 206 Number of survivors out of 100,000 born alive, l x 210 75. 77. 79. 81. 83. 76 78 80 82 84 Number of deaths out of 100,000 born alive, d x 214 Complete expectation of life in years, e x 218 Measure of vitality, X^ 222 MORTALfTT TABLES BASED ON EXPERIENCE OF LIFE INSURANCE COMPANIES. Section. 90. Description of tables 224 91. Mortality functions appearing in tables and graphs 225 MORTALITY TABLES BASED ON EXPERIENCE OF LIFE INSURANCE COMPANIES— Continued. Section. ■ Page. 92. Difference between mortality tables based on insured lives and life tables based on census statistics. . . i 225 MORTALITY TABLES. American Experience Mortality Table: 1860. Thirty American Offices Life Tables: 1874. Males. (Meech.) American-Canadian Mortality Investigation: 1900-1915. American men. AM <5) British Offices Life Tables: 1863-1893. Males. O m < 6 '. Four French Offices Mortality Experience: 1819-1887. Males and females. AF. Twenty-three German Offices Life Tables: 1875. Males and females. Three Japanese Offices Life Tables: 1905. Males. J M<5) . Seventeen Swedish Offices Life Tables: 1895-1906. Aggre- gate males. p M|J. National Fraternal Congress Mortality Table: 1898. Standard Industrial Mortality Table: 1896-1905. Males. United States. Original registration states: 1909-1911. White males. Table. 85. 86. 87. 88. 89. 90. 91. Annual rate of mortality per thousand, \000q x 226 Number of survivors out of 79,116 alive at age 20, l x . . 228 Number of deaths out of 79,116 alive at age 20, d x 230 Complete expectation of life in years, e x 232 Measure of vitality, \ x 234 Number of survivors out of number alive by original radix of each table, l x 236 Number of deaths out of number alive by original radix of each table, d x 238 CONTENTS. PART IV.— GRAPHS OF LIFE TABLE FUNCTIONS. 1. 2. ORIGINAL REGISTRATION STATES. Graph. p age . Both sexes: 1910: Annual rate of mortality per thousand, 1000ft 243 Males and females : 1901 and 1910: Annual and monthly rates of mortality per thousand, 1000ft 244 Number of survivors out of 100,000 born alive, l x 254 Number of deaths out of 100,000 born alive, d x 264 Complete expectation of life, e x 274 Measure of vitality, ~\ x 284 Negro males and females: 1901 and 1910: Annual and monthly rates of mortality per thousand, 1000ft 245 Number of survivors out of 100,000 born alive, l x 255 Number of deaths out of 100,000 born alive, d x 265 Complete expectation of life, e x 275 Measure of vitality, X x 285 White males and females in cities: 1901 and 1910: Annual and monthly rates of mortality per thousand, 1000ft 246 Number of survivors out of 100,000 born alive, l x 256 Number of deaths out of 100,000 born alive, d x 266 Complete expectation of life, e x 276 Measure of vitality, \ x 286 White males and females in rural part: 1901 and 1910: Annual and monthly rates of mortality per thousand, 1000ft 247 Number of survivors out of 100,000 born alive, l x 257 Number of deaths out of 100,000 born alive, d x 267 Complete expectation of life, e x 277 Measure of vitality, X x 287 White and Negro males and females: 1910: Annual and monthly rates of mortality per thousand, 1000ft 248 Number of survivors out of 100,000 born alive, l x 258 Number of deaths out of 100,000 born alive, d x 268 Complete expectation of life, e x 278 Measure of vitality, X^ 288 White males and females in cities and rural part: 1910: Annual and monthly rates of mortality per thousand, 1000ft; 249 Number of survivors out of 100,000 born alive, l x 259 Number of deaths out of 100,000 born alive, d x 269 Complete expectation of life, l x 279 Measure of vitality, X^ 289 12 22 32 42 13. 23. 33. 43. 4. 14. 24. 34. 44. 15. 25. 35. 45. 16. 26. 36. 46. 17. 27. 37. 47. Graph. LIFE TABLES OP FOREIGN COUNTRIES. Page. Italy: 1901-1910. Sweden: 1901-1910. United States : 1901-1910. (Whites in original regis- tration states.) Australia: 1901-1910. England: 1901-1910. Germany: 1901-1910. India: 1901-1910. Males : 1901-1910: 8. Annual rate of mortality per thousand, 1000ft 250 18. Number of survivors out of 100,000 born alive, l x 260 28. Number of deaths out of 100,000 born alive, d x 270 38. Complete expectation of life, e x 280 48. Measure of vitality, \ x 290 Females: 1901-1910: 9. Annual rate of mortality per thousand, 1000ft 251 19. Number of survivors out of 100,000 born alive, l x 261 29. Number of deaths out of 100,000 born alive, d x 271 39. Complete expectation of life, e x 281 49. Measure of vitality, X^ 291 MASSACHUSETTS . Males and females: 1890, 1901, and 1910: 10. Annual rate of mortality per thousand, 1000ft 252 .20. Number of survivors out of 100,000 born alive, l x 262 30. Number of deaths out of 100,000 born alive, d x 272 40. Complete expectation of life, e x 282 50. Measure of vitality, \ x 292 LIFE INSURANCE MORTALITY TABLES. American Experience Mortality Table: 1860. American-Canadian Mortality Investigation: 1990-1915. American Men. AM (5) . British Offices Life Tables: 1863-1893. Males. M(5 ». Three Japanese Offices Life Tables: 1905. Males. J u(5) . National Fraternal Congress Mortality Table: 1898. United States. Original registration states: 1909-1911. White males. 11. Annual rate of mortality per thousand, 1000ft 253 21. Number of survivors out of 79,116 alive at age 20, l x . . 263 31. Number of deaths out of 79,116 alive at age 20, d x 273 41. Complete expectation of life, e x 283 51. Measure of vitality, \ x 293 PART V.— TABLES OF LIFE ANNUITIES, ANNUAL PREMIUMS, SINGLE PREMIUMS, AND COMMUTATION COLUMNS BASED ON LIFE TABLES FOR WHITE MALES AND FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. Section. Page. 93. Practical uses served by these tables 297 94. Life annuities, net premiums, and commutation columns at different rates of interest 297 ORIGINAL REGISTRATION STATES. Table. White males: 1910: 92. Life annuity due, a x , at 3, 3|,4, 5, and 6 per cent. 298 93. Single net premiums, 1000A X , at 3, 3£, and 4 per cent 300 Annual net premiums, 1000P X , at 3, 3£, and 4 per cent 300 Commutation columns, D x , N x , § x , C x , M x , and R x : 94. 3 per cent 302 95. 3J per cent 304 96. 4 per cent 306 97. 5 per cent 308 98. 6 per cent 310 original registration states — continued Table. Page. White females: 1910: 99. Life annuity due, a, x , at 3, 3£, 4, 5, and 6 per cent 312 100. Single net premiums, lOOOAj;, at 3, 3J, and 4 per cent 314 Annual net premiums, 1000P X , at 3, 3£, and 4 per cent 314 Commutation columns, D^, N T , S^, C x , M x , and R x : 101. 3 per cent 316 102. 3£ per cent 318 103. 4 per cent 320 104. 5 per cent 322 105. 6 per cent 324 CONTENTS. PART VI.— MATHEMATICAL THEORY OF CONSTRUCTION OF LIFE TABLES. Section. Page . 95. Division into three main sections for construction 329 96. Graphical representation of flow of population 329 97. Mathematical theory of flow of population . 330 98. Two important theorems 331 99. Aggregate of those surviving to same age 332 100. Aggregate of those living at same time 333 101. First aggregate of the dead: type one 333 102. Second aggregate of the dead: type two 334 103. Third aggregate of the dead : type three 334 104. Relations between aggregates of the living and of the dead. 335 105. Expression of rate of mortality in terms of statistical aggregates 336 106. Calculation of number of births 338 107. Percentage of decedents born in earlier and later calendar years derived from German mortality statistics 339 108. Method employed to verify these percentages 339 109. Percentages adopted and calculation of number of births from population and death statistics 340 110. Populations under 2 years not employed to calculate num- ber of births 342 111. Calculation of rates of mortality for single years under 5 years of age 342 112. Calculation of monthly rates of mortality under 1 year .. . 343 113. Derivation of the osculatory fifth difference formula 344 114. Leading fractional differences in terms of leading integral differences 345 115. Determination of the fifth difference correction 346 116. Fourth difference interpolation curves employed at begin- ning and end of fifth difference osculatory interpolation . 347 117. Wittstein's formula modified for the rates of mortality at advanced ages 348 118. Old age rates employed to determine constants 349 119. Determination of constants in Wittstein's formula 349 120. The overlapping series of rates of mortality 350 121. Spencer's 21-term formula 350 122. Summary of methods employed to obtain the rates of mor- tality 350 123. Calculation of the derived mortality functions 350 124. Calculation of the derived mortality functions under 5 years 351 125. Special formulas and processes . , 352 126. Junction of rates of mortality under age 5 with rates by osculatory interpolation 352 127. Determination of mean population 353 128. Rates of mortality calculated for life tables tested for smoothness and conformity to original statistics 354 129. Variation of rates of mortality with quinquennial age groups of statistics to which the osculatory interpolation formula is applied 356 130. Ratio test for concentration in age groups 362 131. Selection of quinquennial age group for osculatory inter- polation in construction of United States life tables 364 132. Graphs for age interval under 1 year and age interval un- der 1 month 364 TABLES. Table. 106. Number of reported deaths among males in the state of New York used in computing the number of births 338 107. Graduated percentages of deaths in calendar year accord- ing to later and earlier calendar years of birth for first ten yearly age intervals, based on deaths in Prussia in years 1901-1905 339 108. Percentage of decedents who were born in later calendar year 339 tables — continued. Table. Pago. 109. Percentages of deaths in calendar year according to later and earlier years of birth for first five yearly age inter- vals, employed in computing births for United States life tables 340 110. Number of male births in the state of New York in 1909, 1910, and 1911, derived from population and mortality statistics 342 111. Computation of rate of mortality by single years of age under 5 for males in the state of New York, 1909-1911 . . 343 112. Computation of rate of mortality by months of age under 1 year for males in the state cf New York, 1909-1911. . 343 113. Derivation of leading fractional differences in terms of leading integral differences 346 114. Derivation of coefficients for corrected fifth differences in the osculatory interpolation formula 347 115. Fifth differences of the osculatory interpolation formula from n+2.0 to n+3.0 in terms of .0016A 5 j/ m and .0016A 5 y„ +1 347 116. Junction of fourth difference interpolation curves with fifth difference osculatory interpolation curves at be- ginning and end of range of interpolation 348 117. Determination of percentage of deaths under 1 month to be added to those surviving to age 1 month to obtain population under 1 month 351 118. First outline used in calculation of rates of mortality joining those under age 5 with those by osculatory inter- polation 352 119. Second outline used in calculation of rates of mortality joining those under age 5 with those by osculatory in- terpolation 353 120. Third differences of rates of mortality, taken to five deci- mals, among whites in the original registration states, 1910. \QH\ X 355 121. Deviations of expected deaths from actual deaths among whites in the original registration states, 1910 356 122. Various rates of mortality obtained from same original statistics 357 123. Deviations of rates of mortality for each group from those for the average group in Table 122, multiplied by 10 6 358 124. Third differences of graduated rates of mortality in Table 122. 10 5 5 3 ?J 359 125. Deviation of expected deaths, according to graduated rates of mortality in Table 122, from actual deaths 360 126. Weighted squared deviations of graduated rates of mor- tality from observed rates of mortality in Table 122... 361 127. Quinquennial age groups tested by comparing ratios of population 362 128. Quinquennial age groups tested by comparing difference of averaged ratios for populations and for deaths 363 129. Additional mortality statistics used in drawing graphs. . . 364 DIAGRAMS. Diagram. 1. Connection between flow of a population and time and age . 329 2. Flow of a population measured by life lines 330 3. Variation of rates with time and with age 331 4. Variation in' number of survivors with time and with age . . 331 5. Number of deaths in closed area 332 6. Birth and time intervals covered by those surviving to same age 332 7. Birth and age intervals covered by those living at same time 333 8. Aggregate of the dead who were born in same time interval and who died in same age interval 333 CONTENTS. PART VI.— MATHEMATICAL THEORY OF CONSTRUCTION OF LIFE TABLES— Continued. diagrams — continued . Diagram. 9. Aggregate of the dead who were born in same time interval and who died in same time interval 334 10. Aggregate of the dead who died in same time interval and in same age interval 335 11. Integration to determine number of dead in type three aggregate 335 12. Relations between aggregates of the living and of the dead 336 13. Variation of aggregates of the living and type three aggre- gates of the dead with age and time 336 diagrams — continued . Diagram. Page. 14. Relation between rate of mortality and aggregates of the living and of the dead 337 Graphic representation of number of deaths given in Table 106 338 Division of elementary parallelogram into months of age . . 339 17. Application of factors in Table 109 to deaths in Diagram 15; also insertion of corresponding populations from tape 139, page 373 341 18. Illustrating proof of formula for osculatory interpolation . . 345 15 16. PART VH.— DESCRIPTION OF CALCULATION OF LIFE TABLE FOR MALES IN THE STATE OF NEW YORK, 1910, INCLUDING PHOTOGRAPHS OF GRAPHS, DIAGRAMS, AND ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS. ALSO TABULAR OUTLINE FOR CONSTRUCTION OF EACH LIFE TABLE. Section. Page. 133. Descriptive text and photographed tapes 369 134. Special methods used in construction of some life tables 369 135. Extra information needed for construction of each life table 369 136. Adjustment for deaths by months under 1 year of age . 370 137-139. Determination of population used in calculation of number of births and of annual rates of mortality under 5 years and of monthly rates of mortality under 1 year 370 140-142. Calculation of number of births 371 143-146. Calculation of annual rates of mortality under 5 years and monthly rates under 1 year 372 147-153. Osculatory interpolation 372 154-173. Interpolation by continuous addition 376 174-187. Rates of mortality at older ages determined from popu- lations and deaths graduated from the original statis- tics grouped in all five quinquennial age groups . . 388 188-205. Rates of mortality at older ages determined by application of Wittstein's formula to the averaged rates from all five quinquennial groups 392 206-228. Rates of mortality at older ages smoothed by Spencer's 21-term formula 398 Section. 229-249. Page. Calculation of life table functions 404 250-263. Calculation of rates of mortality joining those under age 5 with those by osculatory interpolation, for white females in cities of the original registration states, 1901 264-274. Calculation of mean population of white females in the original registration states for the period 1901- 1910 410 TABLES. Table. 130. Products of 16A 5 Tj: for x equals 4-10, 9-10, 4, 9, 14, and 19 by the factors +1, +3, +5, and -6 380 131. Unit fifth differences of T x from ages 9 to 14 in terms of 16A 5 T 9 _ 10 and 16A 5 T 9 _ 5 „, 382 132. Unit fifth differences of T x from ages 14 to 19 in terms of 16A 5 T 4 and 16A 5 T, 382 133. Unit fifth differences of Tj, from ages 20 to 29 in terms of 16A 5 T„ for y equals 9, 14, and 19 382 134. 135. DerivatioD of the operand in Spencer's 21-term formula for ages 73 to 76 398 Tabular outline for construction of each life table 416 GRAPHS, TAPES, DIAGRAMS, AND OPERATIONS USED IN CALCULATIONS. Infant mortality and annual rates of mortality under 5 years from birth and death statistics. Graph. 136. D£ 2> . Tape. Page. Number of deaths by months under 1 year ad- justed graphically 371 137. P x . Populations July 1, 1900 and 1910, by years under age 5 373 138. log„P . y is December 31 in each year from 1908 to 1913; check on work. 373 139. F x . Populations used in determining number of births and exposed to risk of death by months under 1 year and by years under age 5, from antilogarithms indicated in tape 138 373 Diagram. 140. Number of deaths arranged graphically as first step in determining number of births 373 141. Number of deaths, divided according to year of birth, and populations from tape 139 arranged graph- ically as second step in determining num- ber of births 373 Infant mortality and annual rates of mortality under 5 years from birth and death statistics— Continued. Tape. Page. 142. E . Additions of deaths and populations in diagram 141 to obtain number of births 373 Increase in population according to tape 139; check on work 373 143. a-candjA 144. i( 8 2 a> + 5 x^i)- Average monthly increase in popula tion, or A of 5 373 145. Eg2>-§8

a ndD« 2> , E x -i^ and D x Numbers exposed to risk of death and corresponding numbers of deaths by months under 1 year and by years under age 5; check on work . . 373 and 1x, Px- Rate of mortality and probability of living by months under 1 year and by years under age 5 373 CONTENTS. PAET VH.— DESCRIPTION OF CALCULATION OF LIFE TABLE FOR MALES IN THE STATE OF NEW YORK, 1910, IN- CLUDING PHOTOGRAPHS OF GRAPHS, DIAGRAMS, AND ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS. ALSO TABULAR OUTLHTE FOR CONSTRUCTION OF EACH LIFE TABLE— Continued. 149. A 2 ^ and A 2 (3Z)j, 150. A 3 T X and A 3 ^^ GRAPHS, TAPES, DIAGRAMS, AND OPERATIONS USED IN CALCULATIONS— Continued Rates of mortality from statistics graduated by oscillatory interpolation. Tape. Page. 147. Addition of P x and (?,d) x to obtain first quinquennial dif- ferences of T x and (3l) x 373 148. AT a; andA(3Z) 3: . x=4, 9, and so on to 109, copied from tape 147'; check on work 373 Second and third quinquennial dif- ferences of T x and (3l) x \ checks on work 373 {Fourth and fifth quinquennial dif- ferences of T x and (3ZV, checks on WO rk 377 153. 16A 6 T x andl6A 5 (3Z) x . Products of 16 times fifth quinquen- nial differences of T x and (3l) x from tape 152; check on work 377 Products and additions to obtain lead- ing unit differences of T 4 according to equations (79 ) ; checks on work 377 Products and additions to obtain lead- ing unit differences of T m according to equations (80); checks on work... 377 Diagram. 156. Outline for deriving fourth unit differences of T x from multiples of 16A 5 Tj; 377 Tape. 157. Multiples of 16A 6 T X by +1, +3, +5, and -6 377 154. S*T 4 , o 3 T 4 , 5 2 T 4 , and «T 4 S 3 T V Diagram. 158. Outline to show method of deriving tape 158 from tape 157. 382 Tape. 158. h*T x 159. d 3 T x 160 161 • « 2 T X 1 • ST X J Additions to obtain the fourth and third unit dif- ferences of T x from age 4 to end of life 383 Additions to obtain the second and first unit dif- ferences of T x from age 4 to end of life 384 162. Products indicated in equations (79) and (80) to be used in tape 163; checks on work 385 Additions of products in 163. 5*(3Z) 4 , 5 3 (3Z) 4 , o 2 (3Z) 4 , 8(3Q 4 , tepe m to obtain ^ a „ ,„,, leading unit differences «m,, o 3 (3Z) 99 , S 2 (3Z) 99 , S(3Z) 99 | Qf (3 ^ and (3l)m 3g5 164. Multiples of 16A 5 (3Z)„ by +1, +3, +5, and -6 385 165. 5 4 (3Z) X 1 Additions to obtain fourth and third unit differ- 166. 5 3 (3Z) Z J ences of (3l) x from age 4 to end of life 385 167. 5 2 (3Z) S 1 Additions to obtain second and first unit differ- 168. S (3l) x J ences of (3Z) X from age 4 to end of life 387 169. SL x +i(3d) x . Additions to obtain number exposed to risk at each year of age 389 170. (Zl) x . Sums in tape 169 copied in groups of five. 389 171. 3AT a; -r-4A(3Z) I . Check on work in tapes 169 and 170 389 172. (3d) x . Number of deaths from tape 168 copied 173; q x and p x . in groups of five; sums checked with A(3Z) X in tape 148 389 Rate of mortality and probability of living for each year of age from 4 to 109 389 Averaged rates of mortality from statistics grouped inlall five quin- quennial age groups. 1+4 s X 174. 23 p x and JT! (3d) T . Addition of P x and (3d) x to obtain x first quinquennial differences of T x and (3l) x for each year of age from 80 to 110; check on work 389 Averaged rates of mortality from statistics grouped in all five quin- quennial age groups— Continued. Tape. Page 175. —2AT x and—2A(3l) x . Twice the first quinquennial dif- ferences of T x and (3l) x from tape 174, arranged so that ages five years apart fol- low one another 389 176. — ATj; and — A(3l) x . Additions of subtotals in tape 174 used in checking tape 175 and in obtain- ing tape 183 391 177. 2A 2 T a; and 2A 2 (3l) x . Second quinquennial differences of 2T X and 2(31) x derived from tape 175; checks on work 391 178. -2A 3 Tj; and -2A 3 (3l) x . Third quinquennial differ- ences of — 2T X and — 2(3Z) X derived from tape 177; checks on work 391 8A 3 (3Z)z. Four times numbers in tape 180. 178; check on work 391 L x and (3d) x . One hundred times values in tape 175 less those in tape 179 391 181. 3I, x -\-$(3d) x . Additions to obtain number exposed to risk. 391 182. (3Z) X and (3d) x . From tape 181 and from tape 180, re- spectively 391 183. Check on work in tapes 180 to 182 393 184. JFJ fe- Rates of mortality summed in all possible age x groups of five 393 Z=107 185. 23 qx- Check on summations in tape 184 2=103 186. Averaged q x . One-fifth of subtotals in tape 184. 187. Check on work in tape 186 -. 393 393 393 Rates of mortality by application of Wlttstein's formula to aver- aged rates of mortality from statistics grouped In all five quin- quennial age groups. 188. q x + 5 —q x . Quinquennial differences of averaged rates of mortality 393 189. —logq x . Logarithms of rates of mortality in tape 186, ages 94 to 103 393 190. log(— log q x ). Logarithms of the logarithms in tape 189 . . 393 191. log(— log q x )— log(— log q x+s ). Quinquennial differences of the results obtained in tape 190 393 192. Check on differencing in tape 191 393 193. log(115— x)— log(115— x — 5). Quinquennial differences of logarithms of the natural numbers 21 to 12 . 393 194. log(115— x). Logarithms of the natural numbers 21 to 2.. 393 195. Check on the differencing in tape 193 393 196. n x . For ages 94 to 98, obtained by dividing values in tape 191 by those in tape 193 393 197. log(— loggi)-?ilog(115-z) \ To obtain log log a^ log(-log 3aH . 6 )-nlog(115-a-5) J forages 94 to 103.... 393 198. —log log a x . Summation of values for ages 94 to 98, or ages 99 to 103 397 199. —log log a. Average of values of —log log; u x in tape 198; check on work 397 200. log log a. Negative value indicated by writing comple- ment 397 10 CONTENTS. PART Vn.— DESCRIPTION OF CALCULATION OF LIFE TABLE FOR MALES IN THE STATE OF NEW YORK, 1910, IN- CLUDING PHOTOGRAPHS OF GRAPHS, DIAGRAMS, AND ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS. ALSO TABULAR OUTLINE FOR CONSTRUCTION OF EACH LIFE TABLE— Continued. GRAPHS, TAPES, DIAGRAMS, AND OPERATIONS USED IN CALCULATIONS— Continued. Rates of mortality by application of Wlttstein's formula to aver- aged rates of mortality from statistics grouped in all five quin- quennial age groups — Continued. Tape. Page. 201. n. Average of values of n x in tape 196; 'check on work.. 397 202. log(— log q x )=n\og (115— :r)+log log a. See tapes 201, 194, and 200 397 203. Check on work in tape 202 397 204. log q x . Complements of antilogarithms of totals in tape 202 397 Antilogarithms of logarithms in tape 204; 205. q x and p x corresponding probabilities of living on 1=94 to 115 left; rates of mortality copied from tapes 186 and 173 on right 397 Rates of mortality smoothed by Spencer's 21-term formula. 206. Rates of mortality to be smoothed by Spencer's 21-term formula 397 207. u x . Rates of mortality in tape 206 divided by 7 399 208. Check on u x in tape 207 . 399 209. V x =—u x _ 3 -\-u x _ 1 -\-2u x -{-u x+1 —u x+3 . Addition to obtain operand of Spencer's 21-term formula 399 210. XJ X . Values of operand copied from tape 209 in groups of five 399 211. Check on work in tapes 209 and 210 399 X+3 212. v x = 23 "U x . Summation of operand in tape 210 in all pos- sible groups of seven 399 213. Check on additions in tape 212 399 214. v x . Additions of sums obtained in tape 212 in groups of five 403 215. Check on work in tapes 212 and 214 403 216. w x =%-!-5. Values in tape 214 divided by 5 403 217. Check on quotients obtained in tape 216 403 218. X+2 Z-2 Summation of values in tape 216 in all pos- sible groups of five 403 219. Check on additions in tape 218 403 220. Y x . Additions of sums obtained in tapes 218 in groups of five 403 221. Check on work in tapes 218 and 220 403 X+2 222. 10 7 ? T = "5>"I V T . Summation of values in tape 220 in all pos- 1-2 sible groups of five 403 223. Check on additions in tape 222 403 224. lO 7 ^. Additions of sums obtained in tapes 222 in groups of five 403 225. Check on work in tapes 222 and 224 403 226. lO 6 ^ and 10 6 p x . Rates of mortality obtained from tape 224 and the corresponding probabilities of living 405 227. Check on work in tape 226 405 f Rates of mortality from tapes 173, 226, and 228. XVq x , «10 fc ! 2Q5 ^^ first and gecond differences of and5210 ^ same 405 Derivation of life table functions from rates of mortality selected according to columns 17 to 22 in Table 135. Tape. Page. 229. lp\ Additions of number of survivors by months under one year as step in determining number in stationary population by months under one year. 405 230. l x , z=l to 5 years. Check on work in tapes 231 and 235 . . 405 231. L x . Additions of survivors in tape 230 to obtain number in population by single years under age 5. 405 232. l x , x=5 to 112 years. Additions of survivors for deter- mining numbers in population 405 233. L^ 12) . Population by months under one year; check on work 405 234. Check on quotients in tape 233 405 235. \j x , x—\ to 4 years. Populations copied from tape 231 to obtain check on work 405 236. ~L X , x=5 years and over. Populations obtained by taking one-half the sums of the tapes in 232 405 Section. *237. l x . Copied in column 2 of Table 56 from tapes 229, 230, and 232 406 *238. d x . Differencing l x of column 2 in Table 56 to obtain column 3 406 *239. L x . Copied in column 6 of Table 56 from tapes 233, 235, and 236 406 Tape. 240. d x . Check on d x shown in column 3 of Table 56 407 241. T x . Additions to obtain population in current and all older age intervals 407 242. d x . To four places of decimals, aged 80 years and over; obtained by differencing l x from tape 232 . 407 243. T x . To four places of decimals, aged 80 years and over, obtained by adding h x in tape 236 407 Section. *244. T x . Copying of sums in tape 241 into column 8 of Table 56. 406 *245. \ x =~L x /d x . Measure of vitality obtained and entered in column 7 of Table 56 406 *246. Z x =T x /l x . Expectation of life obtained and entered in column 5 of Table 56 406 *247. 1000l x /T x . Death rate per thousand obtained and enter- ed in column 9 of Table 56 406 *248. lOOO^. Copying of values from tapes 146, 173, 226, and 205 in column 4 of Table 56 according to the first paragraph in section 229 408 *249. Checking results of duplicate computations of the life table 408 Tape. Joining annual rates of mortality under Ave years with those by osculatory interpolation. 250. x, u x , v x , q x . Values in columns 1 to 4 in Table 118 on page 352 409 251. 2, line ; and Three Japanese Offices, J"* 5 ', line , in Graphs 11, 21, 31, 41, and 51 on pages 253, 263, 273, 283, and 293. The graph of the life table for white males in the original registra- tion states, 1910, line , is also shown. Q. What is the meaning of the letter M and the superscripts M and (5) in the symbolic designation of the American-Canadian, British Offices, and Japanese Offices Tables ? — A. M and M mean that the table is based on male lives and the superscript (5) means that in deriving these tables all insured lives which had been insured less than five years were excluded from consideration. Q. What mortality functions based on the experi- ence of insurance companies are graphically repre- sented? — A. The rate of mortality per thousand, the number of survivors out of 79,116 living at age 20, the number of deaths out of 79,116 living at age 20, the expectation of life, and the measure of vitality. See Graphs 11, 21, 31, 41, and 51, pages 253, 263, 273, 283, and 293. Q. Why are the number of survivors and the num- ber of deaths out of 79,116 living at age 20 instead of out of 100,000 born alive used in the insurance mor- tality tables ? — A. See second question and answer in section 79, page 46, and section 91, page 225. RATES OF MORTALITY AMONG INSURED LIVES. 78. Q. How do the rates of mortality in the Three Japanese Offices Life Tables compare with those in insurance tables of other countries ? — A. For most ages the rates are considerably higher. See column 8 of Table 85, page 226, and line in Graph 11, page 253. Q. Does the irregularity mentioned in section 36, page 33, appear in the rates of mortality among the insured ? — A. Yes. See columns 6, 7, and 8 of Table 85, page 226. Among French insured there is a maximum of 6.92 per thousand at age 21, this rate being higher than any of the others between ages 5 and 30. Among German insured there is a maximum of 9.34 per thou- sand at age 19, and this rate is not reached again until between ages 32 and 33. Among Japanese insured there is a maximum of 12.15 per thousand at age 21; the rates do not rise to this point again until between ages 42 and 43. Q. Among the insured lives in Table 85, page 226, which show the. most favorable rates of mortality ? — A. Seventeen Swedish Offices, from age 15 to age 33; American-Canadian, from age 34 to age 49; National Fraternal Congress, from age 50 to age 77; Thirty American Offices, from age 78 to age 81; and United States, white males in original registration states, from age 83 to age 100, the American-Canadian having the lowest rate at age 82. Q. Among the graphs for insured lives, which one shows the most favorable rates of mortality? — A. American -Canadian, line -, in Graph 11 on page 253. This curve is below all the others from age 15 to about age 50. From age 50 to about age 80 it rises slightly above National Fraternal Congress, line , after which it is again lower than all the other curves for insured fives up to age 100. Q. How do the rates of the American Experience Table between ages 15 and 40 compare with those of the other tables ? — A. They are higher, except for the Twenty-three German Offices, the Three Japanese Offices between ages 15 and 30, and the Standard Industrial Tables between ages 15 and 22. See Table 85, page 226. NUMBER OF SURVIVORS AMONG INSURED LIVES. 79. Q. What does the graph of survivors among in- sured lives show? — A. It shows the number of sur- vivors by the various tables at each age out of 79,116 alive at age 20. See Graph 21, page 263. Q. Why was the number of survivors chosen as 79, 1 16 at age 20 ? — A. The various mortality tables for insured lives, unlike life tables, usually begin at ages 10, 15, or 20. In order to compare the survivors at each age it is necessary to begin with the same number at a common age. The lowest age common to all these tables was 20, and 79,116 was chosen as the common number of lives at age 20 because this is the number of survivors at this age in the life table for white males in the original registration states, 1910. Q. Are the original tables, showing the number of survivors among insured lives, given? — A. Yes, they appear in Table 90 on page 236. Q. Are tables given showing the number of survivors among insured lives out of 79,116 living at age 20? — A. Yes, these figures are given in Table 86 on page 228. Q. At what ages are the numbers of survivors among insured lives and white males in the original registra- tion states in Table 86, page 229, reduced to 50,000 ? — ILLUSTRATIVE QUESTIONS AND ANSWERS. 47 A. Standard Industrial, between ages 52-53; Three Japanese Offices, between ages 54-55; Twenty-three German Offices, between ages 55-56; Four French Offices, between ages 58-59; American Experience, British Offices, and United States, white males in the original registration states, 1910, between ages 59-60; Thirty American Offices, between ages 60-61; Ameri- can-Canadian, Seventeen Swedish Offices, and National Fraternal Congress, between ages 63-64. Compare with Graph 21 on page 263. NUMBER DYING AMONG INSURED LIVES. 80. Q. What table in the graphs for insured lives shows the smallest number of deaths between ages 15 and 50? — A. The American-Canadian, line - — ■, in Graph 31, page 273. Q. What table among insured lives has a smaller number of deaths than the American-Canadian from age 15 to age 32 ? — A. The Seventeen Swedish Offices Table. See columns 4 and 9 of Table 87, page 230. Q. Between what ages does the maximum number of deaths after age 5 occur ? — A. Between ages 70 and 76, except among Japanese insured. See Table 87, page 231. Q. What peculiarity does the Japanese table for insured lives exhibit in the graph of number of deaths ? — A. The Japanese table shows three maxima at ages 21, 63, and 72, while each of the other tables shows only one maximum point on this curve. See column 8 of Table 87, page 230, and line in Graph 31, page 273. Q. Are the original tables, showing the number of deaths among insured lives, given? — A. Yes; they appear in Table 91 on page 238. EXPECTATION OF LIFE AMONG INSURED LIVES. 81. Q. What table among the insured lives in Graph 41, page 283, shows the lowest expectation of life? — A. The Three Japanese Offices Table, line . Q. What tables in Graph 41 , page 283, show the most favorable expectation of life? — A. The American- Canadian, line , and the National Fraternal Congress, line . Q. How do the expectations of life in the American Experience and British Offices M(5 > Tables com- pare? — A. Lines and , respectively, in Graph 41, page 283, are very close together for almost the entire range of life and lie between the American- Canadian, line , and the Three Japanese Offices Tables, line , between ages 10 and 60. Q. What is the expectation of life at age 2 by the Standard Industrial Mortality Table ?— A. 48.83. See column 11 of Table 88, page 232. Q. Between what limits in the insurance tables does the expectation of life at age 35 lie? — A. Between about 27 and 34 years.. See Table 88, page 232. Q. What is the expectation of life among insured lives at age 70 ? — A. Between about 7 and 9 years. See Table 88, page 233. Q. Which table among insured lives has the highest expectation of life at age 20, and which has the lowest? — A. American-Canadian, in column 4 of Table 88, has an expectation of life at age 20 of 45.93, which is slightly higher than that for the National Fraternal Congress, column 10, and the Seventeen Swedish Offices in column 9. The expectation of life at age 20 in the Standard Industrial Mortality Table, column 11, is 37.50, which is the lowest. MEASURE OF VITALITY AMONG INSURED LIVES. 82. Q. Which of the tables for insured lives shows the lowest measure of vitality after age 30 ? — A. The Standard Industrial Mortality Table up to age 70, after which the Three Japanese Offices shows the lowest measure of vitality up to age 88. See columns 8 and 1 1 in Table 89, page 234. Q. How does the measure of vitality for the British Offices M(5 > Table compare with that for the American Experience Table? — A. Line in Graph 51, page 293, is higher than that for the American Experi ence Table, line , from age 10 to age 40, and lower from age 41 to age 70, after which they practi- cally coincide. Q. Which table for the insured shows the highest measure of vitality between ages 15 and 33 ? — A. The Seventeen Swedish Offices Table. See column 9 of Table 89, page 234. Q. Which table shows the next highest measure of vitality from ages 1 5 to 33 ? — A. The American-Cana- dian. See column 4 of Table 89, page 234, and line in Graph 51, page 293. Q. Does the irregularity mentioned in the second question and answer in section 59, page 41, appear in the graphs for measure of vitality of insured lives ? — A. Yes; it is most pronounced in the Three Japanese Offices Table, line , and the American- Canadian Mortality Investigation, line - , in Graph 51 on page 293. PARTS V TO Vm. LIFE ANNUITIES, PREMIUMS, AND COMMUTATION COLUMNS. 83. Q. For what United States life tables are values of life annuities given in this volume ? — A. For white males in the original registration states, 1910, and white females in the original registration states, 1910. See Tables 92 and 99, respectively, pages 298 and 312. Q. At what rates of interest are these annuities cal- culated? — A. 3, 3^, 4, 5- and 6 per cent. Q. What are the payments of these annuities, when are they made, and how long do they con- tinue? — A. The payments are $1 a year, payable at the beginning of each age interval, and continue throughout life. Q. What is the designation of an annuity of this kind and what is its symbol? — A. It is called a life annuity due, and its symbol is a^. See Tables 92 and 99, pages 298 and 312. 48 UNITED STATES LIFE TABLES. Q. What is the present value at 4 per cent of a life annuity of $100 per annum to a white male now aged 21, first payment to be made at once? — A. Ref erring to the 4 per cent column at age 21 in Table 92 on page 298, it appears that the present value of a similar an- nuity of $1 a year is $19.7245. Therefore, by propor- tion, the present value of an annuity of $100 per annum is $1,972.45. Q. What is the present value of a similar annuity to a white female aged 21? — A. Turning to Table 99 on page 312 and referring to age 21 under the 4 per cent column, it is seen that the value of a life annuity of $100 per annum, first payment to be made at once, is $2,018.60. Q. What is the present value at 6 per cent of a life annuity of $1,000 to a white man now aged 70, first payment to be made after a year when he is 71? — A. Consulting Table 92 on page 299 in the age 70 row and the 6 per cent column, it is seen that the value of the annuity, if the first payment were made at once, would be $6,821.20. Deducting $1,000, since the first payment is not made at once, the present value of the required annuity is found to be $5,821.20. Q. What is the value of a similar life annuity to a white woman aged 70?— A. $6,113.40. See Table 99, page 313. Q. What tables of net premiums are shown in this volume? — A. Tables of single net premiums and an- nual net premiums at each age for a whole life insur- ance of $1,000. Net premiums are calculated at 3, 3i, and 4 per cent, those for white males in the original registration states, 1910, being given in Table 93 on pages 300 and 301, and those for white females in the original registration states, 1910, in Table 100 on pages 314 and 315. Q. What commutation columns appear in this volume? — A. Commutation columns for the func- tions T> x , N x , S x , C x , M x , and R x are given for 3, 3£, 4, 5, and 6 per cent. Those for white males are given in Tables 94 to 98, pages 302 to 311, and those for white females in Tables 101 to 105, pages 316 to 325. Q. Upon what life tables are these commutation columns based? — A. Those in Tables 94 to 98, pages 302 to 3 1 1 , are based upon the life table for white males in the original registration states, 1910, and those in Tables 101 to 105, pages 316 to 325, on the life table for white females in the original registration states, 1910. Q. What is the purpose of these commutation columns ? — A. They are to assist the actuary in mak- ing calculations based upon life contingencies in ac- cordance with mortality experience among white males and white females in this country. MATHEMATICAL THEORY OF CONSTRUCTION OF LIFE TABLES. 84. Q. Are the mathematical formulas used in the construction of the United States Life Tables explained in this text? — A. Yes, they are explained and dem- onstrated in Part VI, pages 327 to 365. Q. Were the same formulas applied to construct the life tables for the entire range of life? — A. No; there were three main divisions in each life table to which different formulas and processes were applied. See section 95, page 329. Q. What were these divisions? — A. The first divi- sion includes the early years of life, ranging from birth to about age 5; the second or middle division runs from about age 5 to about age 85; the third division from about age 85 to age 115. Q. In the construction of these life tables was any assumption made as to the age limit of human life ? — A. Yes, the age limit of human life was assumed to be 116 years. Q. What formulas were applied to calculate the rates of mortality for the early years of life? — A. These formulas are explained and demonstrated in sections 106 to 112 on pages 338 to 343. Q. What formulas were applied to obtain the rates for the middle range of life ? — A. The osculatory fifth difference formula was employed for this range; the formulas and methods are given in sections 113 to 116 on pages 344 to 347. Q. What formulas were employed in constructing the rates at the older ages? — A. A modification of Wittstein's formula and Spencer's 21-term formula; they are explained in sections 117 to 122, pages 348 to 350. Q. Were these the only formulas employed? — A. No; many other formulas and processes were devised to meet the varying problems presented in the reduc- tion of. the original statistics. The details are fully described in Part VI. Q. Is Part VI of the text designed for the average reader? — A. No; it is written for the information of actuaries and mathematicians. DESCRIPTION OF CALCULATION OF ONE LIFE TABLE AND TABULAR OUTLINE FOR CONSTRUCTION OF EACH LIFE TABLE. 85. Q. Of what does Part VII in this text consist ? — A. It consists of a detailed description of the actual processes used in the calculation of the life table for ILLUSTRATIVE QUESTIONS AND ANSWERS. 49 males in the state of New York, 1910, accompanied by photographs of graphs, diagrams, and adding machine tapes used in connection with the numerical computations, and followed by a tabular outline of the extra information needed to construct each of the life tables. Q. What is the purpose of this section of the text ? — A. It is intended to guide and assist students and others who desire to reproduce these life tables from the original statistics or to construct other life tables in a similar manner. Q. What plan has been adopted in the explanation in Part VII ? — A. The construction of the entire life table has been broken up into natural divisions. Each of these divisions is given a section number in the descriptive text on pages 369 to 414, and the photo- graph of the corresponding numerical computation is given a tape number which is the same as the number of the section in the text in which the computation is described. The tape is referred to in the text by this number, and the corresponding section of the text is readily located from the tape number at the head of the computation. The photographs are inter- leaved with the descriptive text in such manner as to bring each tape and its corresponding section as near together as possible. Q. Is there a description of the construction of any other life table in the text?— A. No; but Table 135 on pages 416 to 419 gives the extra information needed to construct each of the United States Life Tables in addition to that already given in the description of the calculation of one life table. THE ORIGINAL STATISTICS. 86. Q. Are the original statistics upon which the United States Life Tables are based given ? — A. Yes, they are given in Part VIII, pages 421 to 476. 150822°— 21 i Q. Of what do the original statistics consist ? — A. Enumerated populations, estimates of populations, reported deaths, and birth registration statistics. Q. In what form are they presented? — A. All the original statistics used in the construction of an indi- vidual life table are brought together on a single page. In some cases the original statistics for two or more life tables are given on one page. Q. Are the original statistics for all the life tables uniform in character? — A. No, they are not. There are seven types, which are described in section 275, page 423. Q. Were the registered births used in the construc- tion of all the life tables? — A. No, only for twelve tables, Massachusetts and Boston for 1901 and 1910 and the cities of New York and Philadelphia for 1910. Q. How was the number of births obtained for each of the other life tables ? — A. The number of births was computed from the populations and deaths under 5 years. Table 136, page 425, shows the computed num- ber of births, the number of births registered, and the difference between the two. Q. Why was the computed number of births used instead of the number of births registered? — A. Be- cause the birth registration statistics were too unreli- able in most cases ; the numbers were usually much too small. Q. Are the reported deaths under age 5 given which were used in determining the number of births ? — A. Yes, at the bottom of each page of the original statistics upon which the life tables are based, except where the registered births were used in determining the rates of mortality. Q. Is the process of deriving the number of births from population and death statistics shown ? — A. Yes, in sections 137 to 142, pages 370 and 371, and in the tapes to which they refer. Part II UNITED STATES LIFE TABLES : 1890, 1901, 1910, AND 1901-1910 51 52 UNITED STATES LIFE TABLES. TABLE 1 LIFE TABLE FOR BOTH SEXES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (20,408,867), AND ON THE Note. — The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on AGE INTERVAL Period of lifetime between two exact ages. x to £+1 Op 100,000 Persons Born Alive: Number alive at beginning of age interval. Number dying in age interval dx Rate of Mortality PER Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. lOOOfe Complete Expectation of Life. Average length of life remaining to each one alive., at beginning of age interval. e x STATIONARY POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, would result if 100,000 Persons were Bom Alive Uniformly Throughout Each Year. POPULATION EST CURRENT AGE INTERVAL. Including only those in current month or year of age. measure or VITALITY. Population per death in age interval. W^x POPULATION IN CUR' RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. lOOOZz/Tz INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 100 000 95 894 94 768 93 733 «a 779 91 901 91 094 90 356 H9 686 89 078 88 526 88 023 Monthly rate 4 106 41.06 1 126 11.75 1 035 10.91 954 10.18 878 9.47 807 8.78 738 8.10 670 7.42 608 6.78 552 6.20 503 5.69 471 5.34 In years. 49.24 51.26 61.79 52.28 52.73 53.15 53.54 53.89 54.21 54.50 54.75 54.98 8 077 7 944 7 854 7 771 7 695 7 625 560 502 448 400 356 316 Per month. 23.64 84.72 91.08 97.80 105.12 113.40 122.88 134.40 147.00 160.92 175.44 186.36 4 924 000 4 915 923 4 907 979 4 900 125 4 892 354 4 884 659 4 877 034 4 869 474 + 861 972 4 854 524 4 847 124 4 839 768 Annual rate. 20.31 19.51 19.31 19.13 18.96 18.81 18.68 18.56 18.45 18.35 18.26 18.19 Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 21-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 ^54- 35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. 100 000 H7 552 H4 617 83 292 82 446 81 804 Ml 308 ISO 902 HO 568 80 290 80 052 79 838 79 634 79 427 79 207 78 963 78 689 7H 380 78 035 77 656 77 239 76 785 76 300 75 798 75 287 74 768 71 241 73 706 73 163 72 608 72 043 71 469 70 885 70 291 69 689 69 078 68 458 67 829 67 192 66 545 65 890 65 224 61 547 63 859 63 156 Annual rate 2 448 124.48 2 935 33.52 1 325 15.67 846 10.16 642 7.79 496 6.05 406 5.00 334 4.13 278 3.45 238 2.97 214 2.67 204 2.56 207 2.59 220 2.77 244 3.07 274 3.47 309 3.93 345 4.39 379 4.86 417 5.36 454 5.89 485 6.31 502 6.58 511 6.74 519 6.90 527 7.05 535 7.20 543 7.38 555 7.58 565 7.78 574 7.97 584 8.18 594 8.38 602 8.57 611 8.77 620 8.98 629 9.18 637 9.40 647 9.62 655 9.85 666 10.10 677 10.37 688 10.67 703 11.01 720 11.39 In years. 49.24 55.20 56.10 55.98 55.55 54.98 54.31 53.58 52.80 51.99 51.14 50.27 49.40 48.53 47.66 46.81 45.97 45.15 44.35 43.56 42.79 42.04 41.31 40.58 33.85 39.12 38.40 37.67 36.95 36.23 35.51 34.79 34.07 33.35 32.64 31.92 31.21 30.49 29.78 29.06 28.34 27.63 26.91 26.20 25.48 91 548 85 821 83 915 H2 852 82 112 HI 556 HI 105 80 735 HO 120 HO 171 79 945 70 736 70 530 70 317 70 085 78 826 7K 534 78 208 77 846 77 448 77 012 76 542 76 0+0 75 54 3 75 028 74 504 73 974 73 434 72 885 72 326 71 756 71 177 70 588 69 990 60 383 68 768 <;h 143 67 510 66 868 66 217 65 557 64 886 64 203 63 507 62 796 Per year. 7.35 29.24 63.33 97.93 127.90 164.43 199.77 241.72 289.31 336.85 373.57 390.86 384.20 360.53 324.12 287.69 254.16 226.69 205.40 185.73 169.63 157.82 151.49 147.83 144.56 141.37 138.27 135.24 131.32 128.01 125.01 121.88 118.84 116.26 113.56 110.92 108.34 105.98 103.35 101.09 98.43 95.84 93.32 90.34 87.22 4 924 000 4 832 452 4 746 631 4 662 716 4 579 864 4 497 752 4 416 196 4 335 091 4 254 356 4 173 027 1 093 756 4 013 811 3 934 075 3 854 545 3 775 228 3 696 143 3 617 317 3 538 783 3 460 575 3 382 729 3 305 281 3 228 269 3 151 727 3 075 678 3 000 135 2 925 107 2 850 603 2 776 629 2 703 195 2 630 310 2 557 984 2 486 228 .► 415 051 2 344 463 .> 271 473 o 205 090 2 136 322 .> 068 170 .> 000 669 1 933 801 1 867 584 1 802 027 1 737 r ii 1 672 938 1 609 431 Annual rate. 20.31 18.12 17.83 17.86 18.00 18.19 18.41 18.66 18.94 19.23 19.55 19.89 20.24 20.61 20.98 21.36 21.75 22.15 22.55 22.96 23.37 23.79 24.21 24.64 25.09 25.56 26.04 26.55 27.06 27.60 28.16 28.74 29.35 29.99 30.64 31.33 32.04 32.80 33.58 34.41 35.29 36.19 37.16 38.17 39.25 UNITED STATES LIFE TABLES. 53 ORIGINAL REGISTRATION STATES: 1901. TABLE 1 REPORTED DEATHS IN 1900 (343,217), IN 1901 (332,203), AND IN 1902 (318,636). Michigan, and the District of Columbia. An explanation of each column of the lifo tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. STATIONARY POPULATION, Rate op Complete Expectation Unaffected by Emigra ion and Immigration, which. Assuming the Mortality Rates in Column 4, AGE INTERVAL. Or 1 00,000 Persons Born Alive: Mortality would result if 100,000 Persons were Born Alive Uniformly Throughout Each Year. per of Life. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to x-\-l h d x lOOOgz e x Lj. W^x T* loooyTj 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALE OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 62 436 739 11.84 24.77 62 067 83.99 1 546 635 40.37 46-47 61 697 762 12.35 24.06 61 316 80.47 1 484 568 41.56 47-48 60 935 784 12.87 23.36 60 543 77.22 1 423 252 42.81 48-49 60 151 807 13.41 22.65 59 748 74.04 1 362 709 44.15 49-50 59 344 830 13.99 21.96 58 929 71.00 1 302 961 45.54 50-51 58 514 854 14.59 21.26 58 087 68.02 1 244 032 47.04 51-52 57 660 883 15.31 20.57 57 219 64.80 1 185 945 48.61 52-53 56 777 923 16.27 19.88 56 315 61.01 1 128 726 50.30 53-54 55 854 974 17.44 19.20 55 367 56.84 1 072 411 52.08 54-55 51 880 1 028 18.73 18.53 54 366 52.89 1 017 044 53.97 55-56 53 852 1 088 20.20 17.88 53 308 49.00 962 678 55.93 56-57 52 764 1 145 21.69 17.23 52 191 45.58 909 370 58.04 57-58 51 619 1 189 23.03 16.61 51 025 42.91 857 179 60.20 58-59 50 430 1 223 24.26 15.99 49 819 40.74 806 154 62.54 59-60 49 207 1 261 25.62 15.37 48 577 38.52 756 335 65.06 60-61 47 946 1 295 27.02 14.76 47 299 36.52 707 758 67.75 61-62 46 651 1 338 28.69 14.16 45 982 34.37 660 459 70.62 62-63 45 313 1 398 30.85 J.3.56 44 614 31.91 614 477 73.75 63-64 43 915 1 468 33.43 12.98 43 181 29.41 569 863 77.04 64-65 42 447 1 536 36.17 12.41 41 679 27.13 526 682 80.58 65-66 40 911 1 602 39.16 11.86 40 HO 25.04 485 003 84.32 66-67 39 309 1 662 42.29 11.32 38 478 23.15 444 893 88.34 67-68 37 647 1 712 45.47 10.80 36 791 21.49 406 415 92.59 68-69 35 935 1 753 48.79 10.29 35 059 20.00 369 624 97.18 69-70 34 182 1 792 52.44 9.79 33 286 18.57 334 565 102.15 70-71 32 390 1 827 56.41 9.30 31 476 17.23 301 279 107.53 71-72 30 563 1 860 60.85 8.83 29 633 15.93 269 803 113.25 72-73 28 703 1 892 65.91 8.37 27 757 14.67 240 170 119.47 73-74 26 811 1 918 71.54 7.92 25 852 13.48 212 413 126.26 74-75 24 893 1 933 77.66 7.49 23 927 12.38 186 561 133.51 75-76 22 960 1 937 84.38 7.08 21 991 11.35 162 634 141.24 76-77 21 023 1 928 91.71 6.69 20 059 10.40 140 643 149.48 77-78 19 095 1 903 99.66 6.31 18 143 9.53 120 584 158.48 78-79 17 192 1 862 108.29 5.96 16 261 8.73 102 441 167.79 79-80 15 330 1 801 117.50 5.62 14 429 8.01 86 180 177.94 80-81. 13 529 1 721 127.23 5.30 12 668 7.36 71 751 188.68 81-82 11 808 1 623 137.41 5.00 10 996 6.78 59 083 200.00 82-83 10 185 1 508 148.02 4.72 9 431 6.26 48 087 211.86 83-84 8 677 1 380 159.06 4.45 7 987 5.79 38 656 224.72 84-85 7 297 1 244 170.57 4.20 6 675 5.36 30 669 238.10 85-86 6 053 1 106 182.62 3.96 5 500 4.98 23 994 252.53 86-87 4 947 966 195.30 3.74 4 464 4.62 18 494 267.38 87-88 3 981 831 208.67 3.52 3 566 4.29 14 030 284.09 88-89 3 150 701 222.75 3.32 2 799 3.99 10 464 301.20 89-90 2 449 582 237.52 3.13 2 158 3.71 7 665 319.49 90-91 1 867 472 252.95 2.93 1 631 3.45 5 507 338.98 91-92 1 395 375 269.01 2.78 1 207 3.22 3 876 359.71 92-93 1 020 292 285.72 2.62 874 3.00 2 669 381.68 93-94 728 221 303.14 2.46 618 2.80 1 795 406.50 94-95 507 163 321.37 2.32 426 2.61 1 177 431.03 95-96 344 117 340.52 2.18 286 2.44 751 458.72 96-97 227 82 360.71 2.05 186 2.27 465 487.80 97-98 145 55 382.06 l.!>2 117 2.12 279 520.83 98-99 90 37 404.64 1.80 72 1.97 162 555.56 99-100 53 22 428.51 1.69 42 1.83 90 591.72 100-101 31 14 453.73 1.58 24 1.70 48 632.91 101-102 17 8 480.31 1.48 13 1.58 24 675.68 102-103 9 5 508.29 1.38 6 1.47 11 724.64 103-104 4 2 537.68 1.28 3 1.36 5 781.25 104-105 2 1 568.55 1.20 1 1.26 2 833.33 105-106 1 1 600.93 1.11 1 1.16 1 900.90 J 54 UNITED STATES LIFE TABLES. TABLE 2 LIFE TABLE FOR BOTH SEXES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (24,131,759), AND ON THE Note.— The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on STATIONARY POPULATION, ■i Rate of Complete Expectation op Life. Unaffected by Emigration and Immigration, which. Assuming the Mortality- Rates in Column 4, AGE INTERVAL. Op 100,000 Persons Born Alive: Mortality per would result if 100,000 Persons were Born Alive Uniformly Throughout Each Year. • Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUE- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning pf age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x-\-l lx 4 1000g x e x T->x Lz/tfz Tr lOOOZz/Tz 1 2 3 4 5 6 7 8 9 IN FA NT MORTALI TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. Per month. Annual rate. 0-1 100 000 4 377 43.77 51.49 8 060 22.08 5 148 536 19.42 1-2 95 623 1 131 11.83 53.76 7 921 84.00 5 140 476 18.60 2-3 94 492 943 9.98 54.32 7 835 99.72 5 132 555 18.41 3-4 93 549 801 8.57 54.78 7 762 116.28 5 124 720 18.25 4-5 92 748 705 7.60 55.17 7 700 131.04 5 116 958 18.13 5-6 92 043 635 6.90 55.51 7 644 144.48 5 109 258 18.01 6-7 91 408 579 6.33 55.81 7 593 157.32 5 101 614 17.92 7-8 90 829 533 5.87 56.08 7 547 169.92 5 094 021 17.83 8-9 90 296 492 5.45 56.33 7 504 183.00 5 086 474 17.75 9-10 89 804 456 5.08 56.56 7 465 196.44 5 078 970 17.68 10-11 89 348 421 4.72 56.76 7 428 211.68 5 071 505 17.62 11-12 88 927 389 4.38 56.95 7 394 228.12 5 064 077 17.56 LIF1 : TABLE FOI I WHOLE RAI JGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. -> Per year. Annual rate. 0-1 100 000 11 462 114.62 51.49 91 853 8.01 5 148 536 19.42 1-2 88 538 2 446 27.62 57.11 87 095 35.61 5 056 683 17.51 2-3 86 092 1 062 12.34 57.72 85 529 80.54 4 969 588 17.33 3-4 . 85 030 666 7.83 57.44 84 683 127.15 4 884 059 17.41 4-5 84 364 477 5.65 56.89 84 116 176.34 4 799 376 17.58 5-6 83 887 390 4.66 56.21 83 692 214.59 4 715 260 17.79 6-7 83 497 327 3.91 55.47 83 333 254.84 4 631 568 18.03 7-8 83 170 274 3.30 54.69 83 033 303.04 4 548 235 18.28 8-9 82 896 234 2.82 53.87 82 779 353.76 4 465 202 18.56 9-10 82 662 204 2.47 53.02 82 560 404.71 4 382 423 18.86 10-11 82 458 187 2.27 52.15 82 365 440.45 4 299 863 19.18 11-12 82 271 180 2^19 51.26 82 181 456.56 4 217 498 19.51 12-13 82 091 182 2.22 50.37 82 000 450.55 4 135 317 19.85 13-14 81 909 193 2.36 49.49 81 812 423.90 4 053 317 20.21 14-15 81 716 210 2.57 48.60 81 611 388.62 3 971 505 20.58 15-16 81 506 232 2.84 47.73 81 390 350.82 3 889 894 20.95 16-17 81 274 256 3.16 46.86 81 146 316.98 3 808 504 21.34 17-18 81 018 285 3.52 46.01 80 875 283.77 3 727 358 21.73 18-19 80 733 315 3.89 45.17 80 576 255.80 3 646 483 22.14 19-20 80 418 344 4.28 44.34 80 246 233.27 3 565 907 22.55 20-21 80 074 375 4.68 4.3.53 79 887 213.03 3 485 661 22.97 21-22 79 699 398 5.00 42.73 79 500 199.75 3 405 774 23.40 22-23 79 301 412 5.19 41.94 79 095 191.98 3 326 274 23.84 23-24 78 889 418 5.29 41.16 78 680 188.23 3 247 179 24.30 21-25 78 471 425 5.42 40.38 .78 259 184.14 3 168 499 24.76 25-26 78 046 432 5.54 39.60 77 830 180.16 3 090 240 25.25 26-27 77 614 440 5.67 38.81 77 394 175.90 3 012 410 25.77 27-28 77 174 451 5.85 38.03 76 949 170.62 2 935 016 26.30 28-29 76 723 465 6.06 37.25 76 491 164.50 2 858 067 26.85 29-30 76 258 479 6.28 36.48 76 019 158.70 2 781 576 27.41 30-31 75 779 493 6.51 35.70 75 532 153.21 2 705 557 28.01 31-32 75 286 511 6.78 34.93 75 030 146.83 2 630 025 28.63 32-33 74 775 530 7.09 34.17 74 510 140.58 2 554 995 29.27 33-34 74 245 550 7.40 33.41 73 970 134.49 2 480 485 29.93 34-35 73 695 568 7.72 32.66 73 411 129.24 2 406 515 30.62 35-36 73 127 588 8.04 31.90 72 833 12.3.87 2 333 104 31.35 36-37 72 539 605 8.33 31.16 72 237 119.40 2 260 271 32.09 37-38 71 934 617 8.59 30.42 71 626 116.09 2 188 034 32.87 38-39 71 317 631 8.84 29.68 71 001 112.52 2 116 408 33.69 39-40 70 686 644 9.11 28.94 70 364 109.26 2 045 407 34.55 40-41 70 042 658 9.39 28.20 69 713 105.95 1 975 043 35.46 41-42 69 384 674 9.72 27.46 69 047 102.44 1 905 330 36.42 42-43 68 710 693 10.09 26.73 68 364 98.65 1 836 283 37.41 43-44 68 017 716 10.52 25.99 67 659 94.50 1 767 919 38.48 44-45 67 301 740 10.99 25.26 66 931 90.45 1 700 260 39.59 UNITED STATES LIFE TABLES. 55 ORIGINAL REGISTRATION STATES: 1910. TABLE 2 REPORTED DEATHS IN 1909 (353,576), IN 1910 (377,015), AND IN 1911 (368,087). Michigan, and the District of Columbia. An explanation ol each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. STATIONARY POPULATION, AGE INTERVAL Of 100,000 Persons Born Alive: Rate op Mortality per Thousand. Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Persons were Born Alive Uniformly Throughout Each Year. POPULATION IN CUEEENT AGE INTEEVAL. MEA8UEE OF VITALITY. POPULATION IN CUE- EENT AND ALL OLDEE AGE INTEEVAL8. DEATH RATE PEE THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x-\-l lx dx lOOOgr* o La: Lx/dx T* 1000l x /T x 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALE OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 46-47 17-48 48-49 49-50 66 561 65 795 65 000 64 179 63 333 766 795 821 846 873 11.52 12.08 12.63 13.18 13.77 2 4.54 23.82 23.10 22.39 21.69 66 178 65 397 64 589 63 756 62 897 86.39 82.26 78.67 75.36 72.05 1 633 329 1 567 151 1 501 754 1 437 165 1 373 409 40.75 41.98 43.29 44.66 46.10 50-51 51-52 52-53 53-54 54-55 62 460 61 563 60 634 59 664 58 639 897 929 970 1 025 1 084 14.37 15.08 16.01 17.17 18.49 20.98 20.28 19.58 18.89 18.21 62 012 61 098 60 149 59 151 58 097 69.13 65.77 62.01 57.71 53.60 1 310 512 1 248 500 1 187 402 1 127 253 1 068 102 47.66 49.31 51.07 52.94 54.91 55-56 56-57 57-58 58-59 59-60 57 555 56 402 55 177 53 888 52 542 1 153 1 225 1 289 1 346 1 404 20.03 21.72 23.37 24.97 26.73 17.55 16.90 16.26 15.64 15.03 56 978 55 790 54 532 53 215 51 840 49.42 45.54 42.31 39.54 36.92 1 010 005 953 027 897 237 842 705 789 490 56.98 59.17 61.50 63.94 66.53 60-61 61-62 62-63 63-64 64-65 51 138 49 676 48 155 46 568 44 912 1 462 1 521 . 1 587 1 656 1 718 28.58 30.62 32.96 35.55 38.25 14.42 13.83 13.26 12.69 12.14 50 407 48 915 47 361 45 740 44 053 34.48 32.16 29.84 27.62 25.64 737 650 687 243 638 328 590 967 545 227 69.35 72.31 75.41 78.80 82.37 65-66 66-67 67-68 68-69 69-70 43 194 41 421 39 595 37 718 35 790 1 773 1 826 . 1 877 1 928 1 974 41.06 44.08 47.41 51.12 55.14 11.60 11.08 10.57 10.07 9.58 42 308 40 508 38 657 36 754 34 803 23.86 22.18 20.60 19.06 17.63 501 174 458 866 418 358 379 701 342 947 86.21 90.25 94.61 99.30 104.38 70-71 71-72 73-73 73-74 74-75 33 816 31 803 29 759 27 694 25 622 2 013 2 044 2 065 2 072 2 070 59.52 64.29 69.38 74.82 80.78 9.11 8.66 8.22 7.79 7.38 32 810 30 781 28 726 26 658 24 587 16.30 15.06 13.91 12.87 11.88 308 144 275 334 244 553 215 827 189 169 109.77 115.47 121.65 128.37 135.50 75-76 76-77 77-78 78-79 79-80 23 552 21 495 19 467 17 486 15 566 2 057 2 028 1 981 1 920 1 854 87.37 94.35 101.74 109.78 119.10 6.99 6.61 6.25 5.90 5.56 22 523 20 481 18 476 16 526 14 639 10.95 10.10 9.33 8.61 7.90 164 582 142 059 121 578 103 102 86 576 143.06 151.29 160.00 169.49 179.86 80-81 81-83 83-83 83-84 84-85 13 712 11 926 10 230 8 665 7 256 1 786 1 696 1 565 1 409 1 255 130.28 142.17 153.06 162.58 172.97 5.25 4.96 4.70 4.45 4.22 12 819 11 078 9 448 7 960 6 628 7.18 6.53 6.03 5.65 5.28 71 937 59 118 48 040 38 592 30 632 190.48 201.61 212.77 224.72 236.97 85-86 86-87 87-88 88-89 89-90 6 001 4 898 3 944 3 128 2 439 1 103 954 816 689 571 183.80 194.85 206.84 220.13 234.31 4.00 3.79 3.58 3.39 3.20 5 449 4 421 3 536 2 784 2 154 4.94 4.63 4.33 4.04 3.77 24 004 18 555 14 134 10 598 7 814 250.00 263.85 279.33 294.99 312.50 90-91 91-92 92-93 93-94 94-95 1 868 1 402 1 031 742 523 466 371 289 219 162 249.62 264.66 279.90 295.12 310.17 3.03 2.87 2.73 2.59 2.47 1 635 1 216 886 633 442 3.51 3.28 3.07 2.89 2.72 5 660 4 025 2 809 1 923 1 290 330.03 348.43 366.30 386.10 404.86 95-96 96-97 97-98 98-99 99-100 361 244 161 104 65 117 83 57 39 25 325.02 339.74 354.55 369.73 385.46 2.35 2.24 2.14 2.04 1.95 302 202 132 85 53 2.58 2.44 2.32 2.20 2.09 848 546 344 212 127 425.53 446.43 467.29 490.20 512.82 100-101 101-102 102-103 103-104 104-105 40 24 14 8 4 16 10 6 4 2 401.91 419.14 437.37 456.77 477.48 1.85 1.76 1.67 1.59 1.50 32 19 11 6 3 1.99 1.89 1.79 1.69 1.59 74 42 23 12 6 540.54 568.18 598.80 628.93 666.67 105-106 106-107 2 1 1 1 500.22 524.82 1.41 1.33 2 1 1.50 1.41 3 1 709.22 751.88 56 UNITED STATES LIFE TABLES. TABLE 3 LIFE TABLE FOR MALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (10,222,010), AND ON THE Note.— The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on STATIONARY MALE POPULATION, Rate op Complete Expectation Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, AGE Of 100,000 Males Boen Mortality would result if 100,000 Males were Born Alive Uniformly Throughout Each Tear. INTERVAL. Alive: per op Life. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period oJ lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive tit begin- ning of age Average length of life remaining to each one olive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older interval. age intervals. X to x+1 tx dx 1000 ?3: o ^x I* W^r T x 1000l x /T x 1 2 3 4 5 6 7 8 9 INFA NT MORTAL] TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years Per month. Annual rate. 0-1 100 000 4 631 46.31 47.88 8 044 20.88 4 787 531 20.89 1-2 95 369 1 235 12.95 50.12 7 896 76.68 4 779 487 19.95 2-3 94 134 1 127 11.97 50.69 7 798 83.04 4 771 591 19.73 3-4 93 007 1 036 11.15 51.22 7 707 89.28 4 763 793 19.52 4-5 91 971 949 10.32 51.71 7 625 96.36 4 756 086 19.34 5-6 91 022 869 9.54 52.17 7 549 104.28 4 748 461 19.17 6-7 90 153 790 8.77 52.59 7 480 113.64 4 740 912 19.02 7-8 89 363 714 7.99 52.97 7 417 124.68 4 733 432 18.88 8-9 88 649 644 7.26 53.31 7 361 137.16 4 726 015 18.76 9-10 88 005 578 6.57 53.62 7 310 151.80 4 718 654 18.65 10-11 87 427 520 5.96 53.89 7 264 167.64 4 711 344 18.56 11-12 86 907 481 5.53 54.13 7 222 180.12 4 704 080 18.47 LIF E TABLE FO R WHOLE RA STGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years Per year. Annual rate. 0-1 100 000 13 574 135.74 47.88 90 673 6.68 4 787 531 20.89 1-2 86 426 3 040 35.17 54.35 84 633 27.84 4 696 858 18.40 2-3 83 386 1 345 16.13 55.31 82 673 61.47 4 612 225 18.08 3-4 82 041 852 10.39 55.21 81 598 95.77 4 529 552 18.11 4-5 81 189 641 7.89 54.79 80 856 126.14 4 447 954 18.25 5-6 80 548 494 6.13 54.22 80 301 162.55 4 367 098 18.44 6-7 80 054 409 5.11 53.55 79 850 195.23 4 286 797 18.67 7-8 79 645 339 4.26 52.82 79 475 234.44 4 206 947 18.93 8-9 79 306 285 3.60 52.04 79 163 277.76 4 127 472 19.22 9-10 79 021 246 3.11 51.23 78 898 320.72 4 048 309 19.52 10-11 78 775 220 2.80 50.39 78 665 357.57 3 969 411 19.85 11-12 78 555 208 2.65 49.53 78 451 377.17 3 890 746 20.19 12-13 78 347 209 2.66 48.66 78 243 374.37 3 812 295 20.55 13-14 78 138 218 2.80 47.79 78 029 357.93 3 734 052 20.92 14-15 77 920 239 3.07 46.92 77 800 325.52 3 656 023 21.31 15-16 77 681 266 3.42 46.06 77 548 291.53 3 578 223 21.71 16-17 77 415 299 3.86 15.22 77 265 258.41 3 500 675 22.11 17-18 77 116 337 4.37 41.3!) 76 947 228.33 3 423 410 22.53 18-19 76 779 377 4.90 13.59 76 591 203.16 3 346 463 22.94 19-20 76 402 418 5.47 I2.s:> 76 193 182.28 3 269 872 23.36 20-21 75 984 462 6.09 12.03 75 753 163.97 3 193 679 23.79 21-22 75 522 496 6.57 11.29 75 274 151.76 3 117 926 24.22 22-23 75 026 513 6.83 40.55 74 770 145.75 3 042 652 24.66 23-24 74 513 517 6.95 39.83 74 255 143.63 2 967 882 25.11 24-25 73 996 524 7.08 39.11 73 734 140.71 2 893 627 25.57 25-26 73 472 528 7.19 38.38 73 208 138.65 2 819 893 26.06 26-27 72 944 535 7.32 37.6.1; 72 677 135.84 2 746 685 26.56 27-2H 72 409 543 7.50 38.!»3 72 138 132.85 2 674 008 27.08 28-29 71 866 554 7.72 36.20 71 589 129.22 2 601 870 27.62 29-30 71 312 565 7.92 35. IS 71 030 125.72 2 530 281 28.18 30-31 70 747 574 8.12 31.76 70 460 122.75 2 459 251 28.77 31-32 70 173 586 8.34 34.04 69 880 119.25 2 388 791 29.38 32-33 69 587 598 8.60 33.32 69 288 115.87 2 318 911 30.01 33-34 68 989 612 8.87 32.61 68 683 112.23 2 249 623 30.67 34-35 68 377 625 9.14 31.90 68 065 108.90 2 180 940 31.35 35-36 67 752 639 9.44 31.19 67 433 105.53 2 112 875 32.06 36-37 67 113 652 9.71 30.18 66 787 102.43 2 045 442 32.81 37-38 66 461 662 9.97 29.77 66 130 99.89 1 978 655 33.59 38-39 65 799 672 10.20 29.07 65 463 97.42 1 912 525 34.40 39-40 65 127 680 10.45 28.36 64 787 95.28 1 847 062 35.26 40-41 61 447 691 10.72 27.65 64 101 92.77 1 7S2 275 36.17 41-42 63 756 702 11.01 26.95 63 405 9'... 32 1 718 171 37.11 12-13 63 054 716 11.36 26.24 62 696 87.56 1 trtl 769 3S.11 13- It 62 338 735 11.78 25.5 1 61 971 SI, 31 1 592 073 39. 15 14-45 61 603 754 12.25 21. Ml 61 226 SI. 21) 1 530 11)2 40.26 1 UNITED STATES LIFE TABLES. 57 ORIGINAL REGISTRATION STATES: 1901. TABLE 3 REPORTED DEATHS IN 1900 (179,016), IN 1901 (174,867), AND IN 1902 (168,639). Michigan, and the District of Columbia. An explanation of each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. AGE INTERVAL Period of lifetime between two exact ages. x to x-\-l Of 100,000 Males Born Alive: Number alive at beginning of age interval. Number dyins in age interval d x Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. Complete Expectation or Life. Average length of life remaining to each one alive at beginning of age interval. lOOOfc STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which. Assuming the Mortality Rales in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. e MEASURE OF VITALITY. Population per death in age interval. lj x jd x POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. lOOO^/T^ Years. 45-46 46-47 47-48 48-49 49-50 50-51 51-52 52-53 53-54 54-55 55-56 56-57 57-58 58-59 59-60 60-61 61-62 62-63 63-64 64-65 65-66 66-67 67-68 68-69 69-70 70-71 71-72 72-73 73-74 74-75 75-76 76-77 77-78 78-79 79-80 80-81 81-82 82-83 83-84 84-85 85-86 86-87 87-88 88-89 89-90 90-91 91-92 92-93 93-94 94-95 95-96 96-97 97-98 98-99 99-100 100-101 101-102 102-103 103-104 104-105 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. 60 849 60 071 59 268 58 443 57 600 56 736 55 853 54 943 53 994 52 994 51 939 50 823 49 651 48 434 47 182 45 895 44 572 43 208 41 785 40 293 38 736 37 116 35 442 33 727 31 985 30 217 28 431 26 625 24 794 22 941 21 076 19 211 17 36.5 15 551 13 784 12 084 10 470 8 960 7 568 6 306 5 179 4 189 3 333 2 607 2 002 1 508 1 113 HOI 567 390 262 170 107 65 38 22 12 6 3 1 Annual rate. In years 778 12.79 24.14 803 13.37 23.45 825 13.91 22.76 843 14.43 22.07 864 15.00 21.39 883 15.56 20.70 910 16.28 20.02 949 17.27 19.35 1 000 18.53 18.68 1 055 19.90 18.02 1 116 21.48 17.38 1 172 23.08 16.75 1 217 24.51 16.13 1 252 25.84 15.52 1 287 27.29 14.92 1 323 28.81 14.33 1 364 30.62 13.74 1 423 32.94 13.16 1 492 35.70 12.59 1 557 38.63 12.03 1 620 41.83 11.50 1 674 45.12 10.98 1 715 48.37 10.47 1 742 51.67 9.98 1 768 55.27 9.50 1 786 59.11 9.02 1 806 63.52 8.56 1 831 68.75 8.11 1 853 74.76 7.67 1 865 81.28 7.25 1 865 88.47 6.84 1 846 96.10 6.46 1 814 104.48 6.09 1 767 113.62 5.74 1 700 123.35 5.42 1 614 133.57 5.11 1 510 144.23 4.82 1 392 155.30 4.55 1 262 166.79 4.29 1 127 178.74 4.05 990 191.20 3.82 856 204.22 3.61 726 217.82 3.40 605 232.00 3.21 494 246.73 3.03 395 262.01 2.86 309 277.87 2.70 237 294.39 2.55 177 311.66 2.10 128 329.82 2.26 92 348.98 2.13 63 369.22 2.00 42 390.59 1.88 27 413.13 1.76 16 436.86 1.65 10 461.83 1 .55 6 488.09 1.45 | 3 515.68 1.35 ! 2 544.65 1.26 1 575.06 1.18 60 460 59 669 58 855 58 021 57 168 56 294 55 398 54 469 53 494 52 466 51 381 50 237 49 042 47 808 46 538 45 233 43 890 42 496 41 039 39 515 37 926 36 279 34 584 32 856 31 101 29 324 27 528 25 710 23 86K 22 008 20 144 IK 288 16 458 14 668 12 934 11 277 9 715 8 264 6 937 5 743 4 684 3 761 2 970 2 305 1 755 1 311 958 686 479 326 216 139 86 52 30 17 ;i 1 2 1 Per year. 77.71 74.31 71.34 68.83 66.17 63.75 60.88 57.40 53.49 49.73 46.04 42.86 40.30 38.19 36.16 34.19 32.18 29.86 27.51 25.38 23.41 21.67 20.17 18.86 17.59 16.42 15.24 14.04 12.88 11.80 10.80 9.91 9.07 8.30 7.61 6.99 6.43 5.94 5.50 5.09 4.73 4.40 4.09 3.81 3.55 3.32 3.10 2.90 2.71 2.53 2.37 2.21 2.06 1.92 1.79 1.67 1.55 1.11 1.31 1.24 468 876 408 416 348 747 289 892 231 871 174 703 118 409 063 Oil 008 542 955 048 902 582 851 201 800 964 751 922 704 114 657 576 612 343 568 453 525 957 484 918 445 403 407 477 371 198 336 614 303 758 272 657 243 333 215 805 190 095 166 227 144 219 124 075 105 787 89 329 74 661 61 727 50 450 40 735 32 471 25 534 19 791 15 107 11 346 8 376 6 071 4 316 3 005 2 017 1 :ifil SS2 ."56 340 201 115 63 33 16 7 3 1 Annual rate. 41.43 42.64 43.94 45.31 46.75 48.31 49.95 51.68 53.53 55.49 57.54 59.70 62.00 64.43 67.02- 69.78 72.78 75.99 79.43 83.13 86.96 91.07 95.51 100.20 105.26 110.86 116.82 123.30 130.38 137.93 146.20 154.80 164.20 174.22 184.50 195.69 207.47 219.78 233.10 246.91 261.78 277.01 294.12 311.53 330.03 .519.65 370.37 392.16 116.67 112.18 160.48 500.00 531.91 568.18 606.06 645.16 689.66 740.74 793.65 847.16 58 UNITED STATES LIFE TABLES. TABLE 4 LIFE TABLE FOR MALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (12,177,315), AND ON THE Note.— The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on STATIONARY MALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigrati od and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Op 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER DEATH RATE PER THOUSAND. INTERVAL. AGE INTERVALS. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to x-\-l h d x lOOOfe ' e x L* L x /d x T* lOOOZz/Tj; 1 o 3 t 5 6 7 8 9 INFi> L NT MORTAL [TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. Per month. Annual rate. 0-1 100 000 4 894 48.94 49.86 8 027 19.68 4 986 495 20.06 1-2 95 106 1 253 13.17 52.35 7 873 75.36 4 978 468 19.10 2-3 93 853 1 023 10.91 52.96 7 778 91.20 4 970 595 18.88 3-4 92 830 863 9.29 53.46 7 700 107.04 4 962 817 18.71 4-5 91 967 755 8.21 53.88 7 632 121.32 4 955 117 18.56 5-6 91 212 676 7.41 54.24 7 573 134.40 4 947 485 18.44 6-7 90 536 612 6.76 54.56 7 519 147.48 4 939 912 18.33 7-8 89 924 562 6.25 54.85 7 470 159.48 4 932 393 18.23 8-9 89 362 519 5.81 55.11 7 425 171.72 4 924 923 18.15 9-10 88 843 480 5.40 55.35 7 384 184.56 4 917 498 18.07 10-11 88 363 444 5.03 55.57 7 345 198.48 4 910 114 18.00 11-12 87 919 414 4.70 55.76 7 309 211.80 4 902 769 17.93 LIF1 : TABLE FO] I WHOLE RA] >JGE OF XIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 12 495 124.95 49.86 91 035 7.29 4 986 495 20.06 1-2 87 505 2 521 28.82 55.94 86 017 34.12 4 895 460 17.88 2-3 84 984 1 108 13.03 56.59 84 397 76.17 4 809 443 17.67 3-4 83 876 676 8.07 56.33 83 525 123.56 4 725 046 17.75 4-5 83 200 482 5.79 55.79 82 949 172.09 4 641 521 17.92 5-6 82 718 395 4.77 55.11 82 520 208.91 4 558 572 18.15 8-7 82 323 333 4.05 54.37 82 156 246.71 4 476 052 18.39 7-8 81 990 283 3.45 53.59 81 848 289.22 4 393 896 18.66 8-9 81 707 243 2.98 52.77 81 585 335.74 4 312 048 18.95 9-10 81 464 215 2.63 51.93 81 356 378.40 4 230 463 19.26 10-11 81 249 196 2.42 51.07 81 151 414.04 4 149 107 19.58 11-12 81 053 189 2.33 50.19 80 95S 428.35 4 067 956 19.92 12-13 80 864 190 2.35 49.30 80 769 425.10 3 986 998 20.28 13-14 80 674 199 2.47 48.42 80 575 404.90 3 906 229 20.65 14-15 80 475 214 2.66 47.54 80 368 375.55 3 825 654 21.03 15-16 80 261 233 2.91 46.66 80 144 343.97 3 745 286 21.43 16-17 80 028 260 3.24 45.80 79 898 307.30 3 665 142 21.83 17-18 79 768 291 3.65 44.95 79 623 273.62 3 585 244 22.25 18-19 79 477 325 4.09 44.11 1 79 315 244.05 3 505 621 22.67 19-20 79 152 360 4.55 43.29 78 972 219.37 3 426 306 23.10 20-21 78 792 396 5.03 42.48 78 594 198.47 3 347 334 23.54 21-22 78 396 422 5.38 41.70 78 185 185.27 3 268 740 23.98 22-23 77 974 431 5.54 40.92 77 758 180.41 3 190 555 24.44 23-24 77 543 433 5.58 40.14 77 326 178.58 3 112 797 24.91 24-25 77 110 435 5.65 39.37 76 892 176.76 3 035 471 25.40 25-26 76 675 438 5.71 38.59 76 456 174.56 2 958 579 25.91 26-27 76 237 443 5.81 37.80 76 015 171.59 2 882 123 26.46 27-28 75 794 455 6.00 37.02 75 567 166.08 2 806 108 27.01 28-29 75 339 472 6.26 36.24 75 103 159.12 2 730 541 27.59 29-30 74 867 489 6.53 35.47 74 623 152.60 2 655 438 28.19 30-31 74 378 506 6.81 34.70 74 125 146.49 2 580 815 28.82 31-32 73 872 528 7.15 33.93 73 608 139.41 2 506 690 29.47 32-33 73 344 552 7.53 33.17 73 068 132.37 2 433 082 30.15 33-34 72 792 577 7.93 32.42 72 503 125.66 2 360 % 014 30.85 34-35 72 215 601 8.33 31.68 71 914 119.66 2 287 511 31.57 35-36 71 614 626 8.74 30.94 71 301 113.90 2 215 597 32.32 36-37 70 988 647 9.12 30.21 70 664 109.22 2 144 296 33.10 37-38 70 341 665 9.45 29.48 70 008 105.28 2 073 632 33.92 38-39 69 676 681 9.77 28.76 69 335 101.81 2 003 624 34.77 39-40 68 995 698 10.11 28.04 68 646 98.35 1 934 289 35.66 40-41 68 297 711 10.46 27.32 67 940 95.15 1 865 643 36.60 41-42 67 583 733 10.85 26.60 67 216 91.70 1 797 703 37.59 42-43 66 850 754 11.27 25.89 66 473 88.16 1 730 487 38.62 43-44 66 096 777 11.75 25.18 65 708 84.57 1 664 014 39.71 44-45 65 319 801 12.27 21.47 64 919 81.05 1 598 306 40.87 UNITED STATES LIFE TABLES. 59 ORIGINAL REGISTRATION STATES: 1910. TABLE 4 REPORTED DEATHS IN 1909 (188,197), IN 1910 (201,173), AND IN 1911 (196,681). Michigan, and the District of Columbia. An explanation of each column of the life tables is girai on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. STATIONARY MALE POPULATION Rate of Complete Expectation Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, AGE INTERVAL. Of 100,000 Males Born Alive : Mortality would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. per Thousand. of Life. POPULATION IN CURRENT AQE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH 71ATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older ago intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to x-\-l °x dx 1000^ o e x L* W*r. % loooyTz 1 2 3 4 5 6 7 8 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 64 518 829 12.84 23.77 64 104 77.33 1 533 387 42.07 46-47 63 689 856 13.45 23.07 63 261 73.90 1 469 283 43.35 47-48 62 833 882 14.04 22.38 62 392 70.74 1 406 022 44.68 48-49 61 951 905 14.61 21.69 61 498 67.95 1 343 630 46.10 49-50 61 046 928 15.21 21.00 60 582 65.28 1 282 132 47.62 50-51 60 118 951 15.81 20.32 59 642 62.72 1 221 550 49.21 51-52 59 167 978 16.54 19.64 58 678 60.00 1 161 908 50.92 52-53 58 189 1 019 17.50 18.96 57 680 56.60 1 103 230 52.74 53-54 57 170 1 071 18.74 18.29 56 635 52.88 1 045 550 54.67 54-55 56 099 1 129 20.14 17.63 55 535 49.19 988 915 56.72 55-56 54 970 1 197 21.78 16.98 54 371 45.42 933 380 58.89 56-57 53 773 1 268 23.58 16.35 53 139 41.91 879 009 61.16 57-58 52 505 1 332 25.36 15.73 51 839 38.92 825 870 63.57 58-59 51 173 1 386 27.10 15.13 50 480 36.42 774 031 66.09 59-60 49 787 1 444 29.00 14.53 49 065 33.98 723 551 68.82 60-61 48 343 1 501 31.04 13.95 47 593 31.71 674 486 71.68 61-62 46 842 1 557 33.24 13.38 46 064 29.59 626 893 74.74 62-63 45 285 1 616 35.70 12.83 44 477 27.52 580 829 77.94 63-64 43 669 1 676 38.38 12.28 42 831 25.56 536 352 81.43 64-65 41 993 1 729 41.16 11.75 41 128 23.79 493 521 05.11 65-66 40 264 1 774 44.06 11.24 39 377 22.20 452 393 88-97 66-67 38 490 1 814 47.14 10.73 37 583 20.72 413 016 93.20 67-68 36 676 1 852 50.49 10.24 35 750 19.30 375 433 97.66 68-69 34 S24 1 886 54.17 9.75 33 881 17.96 339 683 102.56 69-70 32 938 1 915 58.14 9.28 31 980 16.70 305 802 107.76 70-71 31 023 1 936 62.40 8.83 30 055 15.52 273 822 113.25 71-72 29 087 1 953 67.16 8.38 28 110 14.39 243 767 119.33 72-73 27 134 1 969 72.55 7.95 26 149 13.28 215 657 125.79 73-74 25 165 1 977 78.55 7.53 24 177 12.23 189 508 132.80 74-75 23 188 1 975 85.20 7.13 22 201 11.24 165 331 140.25 75-76 21 213 1 967 92.72 6.75 20 229 10.28 143 130 148.13 76-77 19 246 1 935 100.53 6.39 18 279 9.45 122 901 156.49 77-78 17 311 1 873 108.19 6.04 16 375 8.74 104 622 165.56 78-79 15 438 1 790 115.97 5.72 14 543 8.12 88 247 174.83 79-80 13 648 1 706 124.99 5.40 12 795 7.50 73 704 185.19 80-81 11 942 1 620 135.64 5.10 11 132 6.87 60 909 196.08 81-82 10 322 1 518 147.05 4.82 9 563 6.30 49 777 207.47 82-83 8 804 1 391 158.05 4.57 8 108 5.83 40 214 218.82 83-84 7 413 1 248 168.29 4.33 6 789 5.44 32 106 230.95 84-85 6 165 1 106 179.38 4.11 5 612 5.07 25 317 243.31 85-86 5 059 966 190.94 3.90 4 576 4.74 19 705 256.41 86-87 4 093 830 202.80 3.70 3 678 4.43 15 129 270.27 87-88 3 263 701 215.02 3.51 2 912 4.15 11 451 284.90 88-89 2 562 584 227.64 3.33 2 270 3.89 8 539 300.30 89-90 1 978 476 240.61 3.17 1 740 3.66 6 269 315.46 90-91 1 502 381 253.85 3.01 1 312 3.44 4 529 332.23 91-92 1 121 300 267.21 2.87 971 3.24 3 217 348.43 92-93 821 230 280.62 2.73 706 3.06 2 246 366.30 93-94 591 174 294.09 2.61 504 2.90 1 540 383.14 94-95 417 128 307.73 2.48 353 2.75 1 036 403.23 95-96 289 93 321.76 2.36 242 2.61 683 423.73 96-97 196 66 336.49 2.25 163 2.47 441 444.44 97-98 130 46 352.21 2.13 107 2.34 278 469.48 98-99 84 31 369.18 2.02 69 2.21 171 495.05 99-100 53 20 387.49 1.91 43 2.08 102 523.56 . 100-101 33 14 407.20 1.81 26 1.96 59 552.49 101-102 19 8 428.09 1.70 15 1.84 33 588.24 102-103 11 5 450.30 1.60 9 1.72 18 625.00 103-104 6 3 473.98 1.51 5 1.61 9 662.25 104-105 3 1 499.26 1.41 2 1.50 4 709.22 105-106 2 1 526.33 1.32 1 1.40 2 757.58 106-107 1 1 555.37 1.23 1 1.30 1 813.01 60 TABLE 5 UNITED STATES LIFE TABLES. LIFE TABLE FOR FEMALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (10,186,857), AND ON THE Note. — The original registration states include Maine, New Hampsh re, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on STATIONARY FEMALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Etnigra ion and Immigration, which. Assuming the Mortality Rates in Column 4, AGE INTERVAL Op 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUE- RENT ANB ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older interval. age intervals. x to x-\-\ i x d x lOOOgz ex Lz Wrf* % nmi x /T x 1 2 3 4 5 6 7 8 9 INFA NT MORTALI TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. Per month. Annual rate. 0-1 100 000 3 556 35.56 50.70 8 111 27.36 5 069 984 19.72 1-2 96 444 1 012 10.50 52.49 7 995 94.80 5 061 873 19.05 2-3 95 432 937 9.82 52.96 7 914 101.40 5 053 878 18.88 3-4 94 495 869 9.19 53.40 7 838 108.24 5 045 964 18.73 4-5 93 626 804 8.59 53.81 7 769 115.92 5 038 126 18.58 5-6 92 822 742 8.00 54.19 7 704 124.56 5 030 357 18.45 6-7 92 080 682 7.41 54.55 7 645 134.52 5 022 653 18.33 7-8 91 398 625 6.83 54.87 7 590 145.68 5 015 008 18.22 8-9 90 773 570 6.29 55.16 7 541 158.76 5 007 418 18.13 9-10 90 203 525 5.82 55.43 7 495 171.36 4 999 877 18.04 10-11 89 678 486 5.42 55.67 7 453 184.08 4 992 382 17.96 11-12 89 192 459 5.15 55.89 7 414 193.80 4 984 929 17.89 LIF] 3 TABLE FOl \ WHOLE RA1 xldx % W00l x /T x 1 2 3 4 5 6 7 8 9 LIFE TABLE FOE WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 64 121 695 10.85 25.44 63 774 91.76 1 631 103 39.31 46-47 63 426 715 11.28 24.71 63 068 88.21 1 567 329 40.47 47-48 62 711 739 11.78 23.99 62 341 84.36 1 504 261 41.68 48-49 61 972 765 12.35 23.27 61 589 80.51 1 441 920 42.97 49-50 61 207 792 12.94 22.55 60 811 76.78 1 380 331 44.35 50-51 60 415 820 13.57 21.84 60 005 73.18 1 319 520 45.79 51-52 59 595 852 14.30 21.13 59 169 69.45 1 259 515 47.33 52-53 58 743 894 15.21 20.43 58 296 65.21 1 200 346 48.95 53-54 57 849 944 16.32 19.74 57 377 60.78 1 142 050 50.66 54-55 56 905 997 17.53 19.06 56 407 56.58 1 084 673 52.47 55-56 55 908 1 057 18.91 18.39 55 379 52.39 1 028 266 54.38 56-57 54 851 1 113 20.30 17.74 54 294 48.78 972 887 56.37 57-58 53 738 1 158 21.54 17.09 53 159 45.91 918 593 58.51 58-59 52 580 1 194 22.70 16.46 51 983 43.54 865 434 60.75 59-60 51 386 1 231 23.96 15.83 50 771 41.24 813 451 63.17 60-61 50 155 1 267 25.27 15.21 49 521 39.09 762 680 65.75 61-62 48 888 1 312 26.83 14.59 48 232 36.76 713 159 68.54 62-63 47 576 1 372 28.84 13.98 46 890 34.18 664 927 71.53 63-64 46 204 1 444 31.26 13.38 1 45 482 31.50 618 037 74.74 64-65 41 760 1 514 33.83 12.79 44 003 29.06 572 555 78.19 65-66 43 246 1 584 36.62 12.22 42 454 26.80 528 552 81.83 66-67 41 662 1 649 39.59 11.67 40 837 24.76 486 098 85.69 67-68 40 013 1 710 42.72 11.13 39 158 22.90 445 261 89.85 68-69 38 303 1 764 46.06 10.60 37 421 21.21 406 103 94.34 69-70 36 539 1 818 49.75 10.09 35 630 19.60 368 682 99.11 70-71 34 721 1 868 53.82 9.59 33 787 18.09 333 052 104.28 71-72 32 853 1 916 58.30 9.11 31 895 16.65 299 265 109.77 72-73 30 937 1 955 63.19 8.64 29 960 15.32 267 370 115.74 73-74 28 982 1 984 68.48 8.19 27 990 14.11 237 410 122.10 74-75 26 998 2 004 74.23 7.76 25 996 12.97 209 420 128.87 75-76 24 994 2 013 80.52 7.34 23 987 11.92 183 424 136.24 76-77 22 981 2 007 87.33 6.94 21 978 10.95 159 437 144.09 77-78 20 974 1 989 94.83 6.55 19 980 10.05 137 459 152.67 78-79 18 985 1 954 102.96 6.19 18 008 9.22 117 479 161.55 79-80 17 031 1 902 111.66 5.84 16 080 8.45 99 471 171.23 80-81 15 129 1 829 120.89 5.51 14 215 7.77 83 391 181.49 81-82 13 300 1 737 . 130.60 5.20 12 432 7.16 69 176 192.31 82-83 11 563 1 627 140.75 4.91 10 749 6.60 56 744 203.67 83-84 9 936 1 504 151.33 4.63 9 184 6.11 45 995 215.98 84-85 8 432 1 369 162.40 4.37 7 747 • 6 448 5.66 36 811 228.83 85-86 7 063 1 230 174.04 4.12 5.25 29 064 242.72 86-87 5 833 1 087 186.38 3.88 5 290 4.87 22 616 257.73 87-88 4 746 947 199.52 3.65 4 273 4.51 17 326 273.97 88-89 3 799 811 213.50 3.44 3 394 4.18 13 053 290.70 89-90 2 988 682 228.31 3.23 2 647 3.88 9 659 309.60 90-91 2 306 562 243.88 3.04 2 025 3.60 7 012 328.95 91-92 1 744 454 260.14 2.86 1 517 3.34 4 987 349.65 92-93 1 290 357 277.05 2.69 1 111 3.11 3 470 371.75 93-94 933 275 294.62 2.53 795 2.89 2 359 395.26 94-95 658 206 312.91 2.38 555 2.70 1 564 420.17 95-96 452 150 332.06 2.24 377 2.51 1 009 446.43 96-97 302 106 352.21 2.10 249 2.34 632 476.19 97-98 196 73 373.52 1.97 159 2.18 383 507.61 98-99 123 49 396.15 1.84 98 2.02 224 543.48 99-100 74 31 420.16 1.72 58 1.88 126 581.40 100-101 43 19 445.62 1.61 33 1.74 68 621.12 101-102 24 11 472.54 1.50 18 1.62 35 666.67 102-103 13 7 500.91 1.40 9 1.50 17 714.29 103-104 6 3 530.71 1.30 5 1.38 8 769.23 104-105 3 2 562.03 1.21 2 1.28 3 826.45 105-106 1 1 594.93 1.13 1 1.18 1 884.96 62 UNITED STATES LIFE TABLES. TABLE 6 LIFE TABLE FOR FEMALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (11,954,444), AND ON THE Note. — The original registration states include Maine, New Hampshire, \V~no~1-, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on AGE INTERVAL. Period of lifetime between two exact ages. x to x+1 Of 100,000 Females Born Alive: Number alive at beginning of age interval. Number dying in age interval Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. lOOOgr Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. e x STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Population per death in age interval. Lz/tfz Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals loooyTs Months. O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. 100 000 96 167 an 163 94 305 93 568 9a 917 92 326 91 781 91 279 90 814 90 384 89 986 3 833 1 004 858 737 651 591 545 502 465 430 398 363 Monthly rate. In years 38.33 53.24 10.44 55.28 9.01 55.78 7.82 56.20 6.96 56.56 6.36 56.87 5.90 57.15 5.47 57.41 5.09 57.64 4.74 57.85 4.39 58.05 4.04 58.22 8 094 7 972 7 895 7 828' 7 770 7 718 7 671 7 628 7 587 7 550 7 515 7 484 Per month. 25.32 95.28 110.40 127.44 143.28 156.72 168.96 182.40 195.84 210.72 226.56 247.44 324 150 316 056 308 084 300 189 292 361 284 591 276 873 269 202 261 574 253 987 246 437 238 922 Annual rate. 18.78 18.09 17.93 17.79 17.68 17.58 17.50 17.42 17.35 17.29 17.23 17.18 LIFE TABLE FOR "WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 100 000 89 623 87 257 m 242 85 587 85 117 84 730 84 410 84 145 83 922 83 728 83 551 83 380 83 205 83 018 82 813 82 584 82 329 82 050 81 747 81 418 81 064 80 689 80 298 79 895 79 481 79 055 7K 619 78 172 77 715 77 247 76 768 76 277 75 771 75 252 74 719 74 174 73 617 73 051 72 477 71 894 71 301 70 695 70 071 69 425 10 377 2 366 1 015 655 470 387 320 265 223 194 177 171 175 187 205 229 255 279 303 329 354 375 391 403 414 426 436 447 457 468 479 491 506 519 533 545 557 566 574 583 593 606 624 646 670 Annual rate. In years 103.77 53.24 26.40 58.37 11.64 58.94 7.59 58.63 5.50 58.08 4.54 57.39 3.77 56.65 3.14 55.87 2.65 55.04 2.31 54.19 2.11 53.31 2.05 52.42 2.10 . 51.53 2.25 50.64 2.48 49.75 2.77 48.87 3.08 48.01 3.39 47.15 3.70 46.31 4.02 45.48 4.35 44.66 4.64 43.86 4.85 43.06 5.01 42.26 5.18 41.48 5.36 40.69 5.52 39.91 5.69 39.12 5.85 38.34 6.02 37.57 6.20 36.79 6.40 36.02 6.63 35.25 6.85 34.48 7.08 33.71 7.30 32.95 7.51 32.19 7.68 31.43 7.86 30.67 8.05 29.91 8.25 29.15 8.50 28.38 8.83 27.62 9.22 26.86 9.64 26.11 92 712 88 227 86 719 85 901 85 342 84 923 84 570 84 278 84 034 83 825 83 640 83 466 83 293 83 112 82 915 82 698 82 456 82 190 SI 898 81 583 81 241 80 876 80 493 80 096 79 688 79 268 78 837 78 395 77 943 77 481 77 007 76 522 76 024 75 512 74 986 74 447 73 895 73 334 72 764 72 186 71 598 70 998 70 383 69 748 69 090 Per year. 8.93 37.29 85.44 131.15 181.58 219.44 264.28 318.03 376.83 432.09 472.54 488.11 475.96 444.45 404.46 361.13 323.36 294.59 270.29 247.97 229.49 215.67 205.86 198.75 192.48 186.08 180.82 175.38 170.55 165.56 160.77 155.85 150.25 145.50 140.69 136.60 132.67 129.57 126.77 123.82 120.74 117.16 112.79 107.97 103.12 5 324 150 5 231 438 5 143 211 5 056 492 4 970 591 4 885 249 4 800 326 4 715 756 t 631 478 4 547 444 4 463 619 4 379 979 4 296 513 4 213 220 4 130 108 4 047 193 3 964 495 a 882 039 3 799 849 3 717 951 3 636 368 « 555 127 a 474 251 3 393 758 3 313 662 3 233 974 3 154 706 3 075 869 2 997 474 2 919 531 2 842 050 2 765 043 2 688 521 2 612 497 2 536 985 o 461 999 ^ 387 552 y 313 657 2 240 323 o 167 559 2 095 373 2 023 775 1 952 777 1 882 394 1 812 646 Annual rate. 18.78 17.13 16.97 17.06 17.22 17.42 17.65 17.90 18.17 18.45 18.76 19.08 19.41 19.75 20.10 20.46 20.83 21.21 21.59 21.99 22.39 22.80 23.22 23.66 24.11 24 58 25.06 25.56 26.08 26.62 27.18 27.76 28.37 29.00 29.66 30.35 31.07 31.82 32.61 33.43 34.31 35.24 36.21 37.23 38.30 UNITED STATES LIFE TABLES. 63 ORIGINAL REGISTRATION STATES: 1910. TABLE 6 REPORTED DEATHS IN 1909 (165,379), IN 1910 (175,842), AND IN 1911 (171,406). Michigan, and the District of Columbia. An explanation of each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. AGE INTERVAL Period of lifetime between two exact ages. X to x+1 Of 100,000 Females Born Alive: Number alive at beginning of age interval. Number dying in age interval Rate op Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. W00q x Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. e x STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which. Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN CUEEENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. Population per death in age interval. L x /d x POPULATION IN CUE- BENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE FEB THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. loooyTj LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. 45-46 46-47 47-48 48-49 49-50 50-51 51-52 52-53 53-54 54-55 55-56 56-57 57-58 58-59 59-60 60-61 61-62 62-63 63-64 64-65 65-66 66-67 67-68 68-69 69-70 70-71 71-72 72-73 73-74 74-75 75-76 76-77 77-78 78-79 79-80 80-81 81-82 82-83 83-84 S4-85 85-86 86-87 87-88 88-89 89-90 90-91 91-92 92-93 93-94 94-95 95-96 96-97 97-98 98-99 99-100 100-101 101-102 102-103 103-104 104-105 105-106 106-107 107-108 68 755 68 059 67 335 66 584 65 807 65 001 64 167 63 299 62 388 61 421 60 392 59 293 58 120 56 881 55 584 5+ 226 52 809 51 329 49 776 48 143 46 438 44 666 •12 829 40 925 38 952 36 916 34 819 32 675 30 505 28 329 26 155 23 996 21 863 19 762 17 700 15 682 13 712 11 820 10 060 8 472 7 051 5 795 4 698 « 751 2 945 2 269 1 712 1 263 911 641 441 296 194 125 79 49 29 17 10 G 3 2 1 696 724 751 777 806 834 868 911 967 1 029 1 099 1 173 1 239 1 297 1 358 1 417 1 480 1 553 1 633 1 705 772 837 904 973 036 2 097 2 144 2 170 2 176 2 174 2 159 2 133 2 101 2 062 2 018 1 970 1 892 1 760 1 588 1 421 1 256 1 097 947 806 676 557 449 352 270 200 145 102 69 46 30 20 12 7 4 3 1 1 1 Annual rate. In years 10.12 25.36 10.64 24.61 11.15 23.87 11.68 23.14 12.24 22.40 12.83 21.67 13.52 20.95 14.41 20.23 15.50 19.52 16.75 18.82 18.20 18.13 19.78 17.46 21.32 16.80 22.81 16.15 24.43 15.52 26.13 14.90 28.03 14.28 30.26 13.68 32.79 13.09 35.42 12.52 38.15 11.96 41.13 11.41 44.47 10.88 48.20 10.36 52.28 9.86 56.79 9.38 61.57 8.92 66.41 8.47 71.36 8.03 76.74 7.61 82.55 7.20 88.88 6.81 96.08 6.42 104.38 6.05 113.98 5.70 125.66 5.37 137.98 5.07 148.84 4.80 157.85 4.55 167.78 4.31 178.07 4.08 189.37 3.85 201.56 3.64 214.88 3.43 229.53 3.23 245.38 3.05 262.10 2.88 279.18 2.72 296.16 2.58 312.62 2.45 328.28 2.34 343.00 2.24 356.90 2.15 370.29 2.06 383.43 1.98 396.62 1.91 410.19 1.83 424.44 1.75 439.56 1.68 455.70 1.60 474.10 1.52 494.27 1.44 516.40 1.36 68 407 67 697 66 960 66 196 65 404 64 584 63 733 62 844 61 904 60 906 59 842 58 706 57 500 56 232 54 905 53 517 52 069 50 552 4S 960 17 291 45 552 43 748 41 877 39 939 37 934 35 868 33 747 31 590 29 417 27 242 25 075 22 929 20 813 IK 731 16 691 14 697 12 766 10 940 9 266 7 762 6 423 5 247 4 224 3 348 2 607 1 991 1 488 1 087 776 541 368 245 160 102 64 39 23 14 8 4 2 1 1 Per year. 98.29 93.50 89.16 85.19 81.15 77.44 73.43 68.98 64.02 59.19 54.45 50.05 46.41 43.36 40.43 37.77 35.18 32.55 29.98 27.74 25.71 23.81 21.99 20.24 18.63 17.10 15.74 14.56 13.52 12.53 11.61 10.75 9.91 9.08 8.27 7.46 6.75 6.22 5.84 5.46 5.12 4.78 4.46 4.15 3.86 3.58 3.32 3.08 2.88 2.70 2.55 2.42 2.30 2.20 2.11 2.02 1.94 1.86 1.78 1.69 1.61 1.52 1.44 743 556 675 149 607 452 540 492 474 296 408 892 344 308 280 575 217 731 155 827 1 094 921 1 035 079 976 373 918 873 862 641 807 736 754 219 702 150 651 598 602 638 555 347 509 795 466 047 424 170 384 231 346 297 310 429 276 682 245 092 215 675 188 433 163 358 140 429 119 616 100 885 84 194 69 497 56 731 45 791 36 525 28 763 22 340 17 093 12 869 9 521 6 914 4 923 3 435 2 348 1 572 1 031 663 418 258 156 92 53 30 16 Annual rate. 39.43 40.63 41.89 43.22 44.64 46.15 47.73 49.43 51.23 53.13 55.16 57.27 59.52 61.92 64.43 67.11 70.03 73.10 76.39 79.87 83.61 87.64 91.91 96.53 101.42 106.61 112.11 118.06 124.53 131.41 138.89 146.84 155.76 165.29 175.44 186.22 197.24 208.33 219.78 232.02 245.10 259.74 274.73 291.55 309.60 327.87 347.22 367.65 387.60 408.16 427.35 446.43 465.12 485.44 505.05 523.56 546.45 571.43 595.24 625.00 657.89 694.44 735.29 64 UNITED STATES LIFE TABLES. TABLE 7 LIFE TABLE FOR WHITE MALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (10,011,715), AND ON THE Note.— The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on STATIONARY MALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which. Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AQE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to X-\-l lx d x 1000^ o e x L * W4r T» loooyTz 1 2 3 4 5 6 7 8 9 INFANT MORTA1 ,ITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly raU'. In years. Per month. Annual rate. 0-1 100 000 4 569 45.69 48.23 8 048 21.12 4 823 Oil 20.73 1-2 95 431 1 191 12.49 50.45 7 903 79.68 4 814 963 19.82 2-3 94 240 1 101 11.68 51.01 7 807 85.08 4 807 060 19.60 3-4 93 139 1 017 10.92 51.53 7 719 91.08 4 799 253 19.41 4-5 92 122 933 10.13 52.01 7 638 98.28 4 791 534 19.23 5-6 91 189 853 9.36 52.46 7 564 ^ 106.44 4 783 896 19.06 6-7 90 336 775 8.58 52.87 7 496 116.04 4 776 332 18.91 7-8 89 561 701 7.83 53.25 7 434 127.20 4 768 836 18.78 8-9 88 860 635 7.14 53.58 7 379 139.44 4 761 402 18.66 9-10 88 225 573 6.50 53.89 7 328 153.48 4 754 023 18.56 10-11 87 652 522 5.96 54.15 7 283 167.40 4 746 695 18.47 11-12 87 130 475 5.44 54.39 7 241 182.88 4 739 412 18.39 LIFE TABLE F TR WHOLE R \NGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 13 345 133.45 48.23 90 840 6.81 4 823 Oil 20.73 1-2 86 655 2 986 34.47 54.61 84 893 28.43 4 732 171 18.31 2-3 83 669 1 326 15.84 55.54 82 966 62.57 4 647 278 18.01 3-4 82 343 844 10.26 55.43 , 81 904 97.04 4 564 312 18.04 4-5 81 499 635 7.79 55.00 81 169 127.83 4 482 408 18.18 5-6 80 864 490 6.06 54.43 80 619 164.53 4 401 239 18.37 6-7 80 374 405 5.04 53.76 80 172 197.96 4 320 620 18.60 7-8 79 969 336 4.20 53.03 79 801 237.50 4 240 448 18.86 8-9 79 633 282 3.54 52.25 79 492 281.89 4 160 647 19.14 9 10 79 351 242 3.05 51.43 79 230 327.40 4 081 155 19.44 10-11 79 109 216 2.74 50.59 79 001 365.75 4 001 925 19.77 11-12 78 893 205 2.59 49.72 78 791 384.35 3 922 924 20.11 12-13 78 688 203 2.59 48.85 78 586 387.12 3 844 133 20.47 13-14 78 485 215 2.73 47.98 78 377 364.54 3 765 547 20.84 14-15 78 270 233 2.99 47.11 78 154 335.42 3 687 170 21.23 15-16 78 037 261 3.34 46.25 77 907 298.49 3 609 016 21.62 16-17 77 776 292 3.77 15.40 I 77 630 265.86 3 531 109 22.03 17-18 77 484 330 4.25 44.57 ! 77 319 234.30 3 453 479 22.44 18-19 77 154 369 4.78 43.76 76 970 208.59 3 376 160 22.85 19-20 76 785 409 5.34 42.97 76 581 187.24 3 299 190 23.27 20-21 76 376 454 5.91 42.19 76 149 167.73 3 222 609 23.70 21-22 75 922 487 6.12 41.11 75 678 155.40 3 146 460 24.13 22-23 75 435 504 6.68 40.71 75 183 149.17 3 070 782 24.56 23-24 74 931 509 6.79 39.98 71 677 146.71 2 995 599 25.01 24-25 74 422 515 6.92 39.25 74 165 144.01 2 920 922 25.48 25-26 73 907 520 7.04 38.52 73 647 141.63 2 846 757 25.96 26-27 73 387 526 7.17 37.79 73 124 139.02 2 773 110 26.46 27-28 72 861 535 7.35 37.06 72 594 135.69 2 699 986 26.98 28-29 72 326 548 7.57 36.33 72 052 131.48 2 627 392 27.53 29-30 71 778 559 7.79 35.60 71 499 127.91 2 555 340 28.09 30-31 71 219 569 7.99 34.88 70 935 124.67 2 483 841 28.67 31-32 70 650 581 8.23 34.15 70 359 121.10 2 412 906 29.28 32-33 70 069 594 8.48 33.43 69 772 117.46 2 342 547 29.91 33-34 69 475 608 8.75 32.71 69 171 113.77 2 272 775 30.57 31-35 68 867 622 9.03 32.00 68 556 110.22 2 203 604 31.25 35-36 68 245 636 9.32 31.29 67 927 106.80 2 135 048 31.96 36-37 67 609 648 9.60 30.57 67 285 103.83 2 067 121 32.71 37-38 66 961 660 9.85 29.87 66 631 100.96 1 999 836 33.48 38-39 66 301 668 10.09 29.16 65 967 98.75 1 933 205 34.29 39-40 65 633 679 10.34 28.45 65 293 96.16 1 867 238 35.15 40-41 64 954 688 10.60 27.74 64 610 93.91 1 801 945 36.05 41-42 64 266 700 10.89 27.03 63 916 91.31 1 737 335 37.00 * 12-43 63 566 714 11.24 26.33 63 209 88.53 1 673 419 37.98 43-44 62 852 732 11.64 25.62 62 486 85.36 1 610 210 39.03 44-45 62 120 751 12.10 24.92 61 744 82.22 1 547 724 40.13 UNITED STATES LIFE TABLES. ORIGINAL REGISTRATION STATES: 1901. REPORTED DEATHS IN 1900 (173,731), IN 1901 (169,530), AND IN 1902 (163,387). Michigan, and the District of Columbia. An explanation of each column of the life tables is given on pases 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. x " 65 TABLE 7 STATIONARY MALE POPULATION, AGE INTERVAL . Of 100,000 Males Born Alive: Rate of Mortality per Complete Expectation Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. of Life. POPULATION IN MEASURE OF rOrutATrON DI COTt- DEATH RATE CURRENT AGE INTERVAL. VTTAI TTV KENT AND ALL ° LDEE AGE INTERVALS. PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current 1 month or year ' of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to £+1 *x Ax 1000^ L* LxMr Tz 1000^/Tz 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 61 369 775 12.63 24.21 60 981 78.69 1 485 980 41.31 46-47 60 594 799 13.19 23.52 60 194 75.34 1 424 999 42.52 47-48 59 795 821 13.72 22.82 59 384 72.33 1 364 805 43.82 48-49 58 974 840 14.24 22.14 58 554 69.71 1 305 421 45.17 49-50 58 134 860 14.80 21.45 57 704 67.10 1 246 867 46.62 50-51 57 274 880 15.37 20.76 56 834 64.58 1 189 163 48.17 51-52 56 394 907 16.08 20.08 55 940 61.68 1 132 329 49.80 52-53 65 487 947 17.06 19.40 55 013 58.09 1 076 389 51.55 53-54 54 540 997 18.29 18.73 54 042 54.20 1 021 376 53.39 54-55 53 543 1 052 19.64 18.07 53 017 50.40 967 334 55.34 55-56 52 491 1 112 21.18 17.42 51 935 46.70 914 317 57.41 56-57 51 379 1 169 22.76 16.78 50 795 43.45 862 382 59.59 57-58 50 210 1 215 24.20 16.16 49 602 40.82 811 587 61.88 58-59 48 995 1 252 25.55 15.55 48 369 38.63 761 985 64.31 59-60 47 743 1 291 27.04 14.95 47 097 36.48 713 616 66.89 60-61 46 452 1 328 28.59 14.35 45 788 34.48 666 519 69.69 61-62 45 124 1 373 30.43 13.76 44 437 32.36 620 731 72.67 62-63 43 751 1 433 32.76 13.17 43 034 30.03 576 294 75.93 63-64 42 318 1 504 35.52 12.60 41 566 27.64 533 260 79.37 64-65 40 814 1 569 38.46 12.05 40 030 25.51 491 694 82.99 65-66 39 245 1 635 41.66 11.51 38 427 23.50 451 664 86.88 66-67 37 610 1 691 44.96 10.99 36 764 21.74 413 237 90.99 67-68 35 919 1 732 48.21 10.48 35 053 20.24 376 473 95.42 68-169 34 187 1 760 51.50 9.99 33 307 18.92 341 420 100.10 69-70 32 427 1 787 55.10 9.50 31 533 17.65 308 113 105.26 70-71 30 640 1 806 58.94 9.03 29 737 16.47 276 580 110.74 71-72 28 834 1 827 63.35 8.56 27 920 15.28 246 843 116.82 72-73 27 007 1 853 68.61 8.11 26 081 14.08 218 923 123.30 73-74 25 154 1 877 74.65 7.67 24 215 12.90 192 842 130.38 74-75 23 277 1 890 81.20 7.24 . 22 332 11.82 168 627 138.12 75-76 21 387 1 891 88.43 6.84 20 441 10.81 146 295 146.20 76-77 19 496 1 873 96.07 6.46 18 559 9.91 125 854 154.80 77-78 17 623 1 840 104.41 6.09 16 703 9.08 107 295 164.20 78-79 15 783 1 792 113.55 5.74 14 887 8.31 90 592 174.22 79-80 13 991 1 725 123.28 5.41 13 128 7.61 75 705 184.84 80-81 12 266 1 638 133.53 5.10 11 447 6.99 62 .577 196.08 81-82 10 628 1 533 144.24 4.81 9 862 6.43 51 130 207.90 82-83 9 095 1 413 155.42 4.54 8 388 5.93 41 268 220.26 83-84 7.682 1 284 167.04 4.28 7 040 5.49 32 880 233.64 84-85 6 398 1 146 179.15 4.04 5 825 5.08 25 840 247.52 85-86 5 252 1 007 191.76 3.81 4 749 4.71 20 015 262.47 86-87 4 245 870 204.91 3.60 3 810 4.38 15 266 277.78 87-88 3 375 738 218.59 3.39 3 006 4.07 11 456 294.99 88-89 2 637 614 232.80 3.20 2 330 3.80 8 450 312.50 89-90 | 2 023 500 247.53 3.02 1 773 3.54 6 120 331.13 90-91 1 523 401 262.78 2.85 1 323 3.31 4 347 350.88 91-92 1 122 312 278.60 2.69 966 3.09 3 024 371.75 92-93 810 239 295.08 2.54 690 2.89 2 058 393.70 93-94 571 178 312.35 2.40 482 2.70 1 368 416.67 94-95 393 130 330.52 2.26 328 2.53 886 442.48 95-96 263 92 349.71 2.12 217 2.36 558 471.70 96-97 171 63 369.99 2.00 139 2.20 341 500.00 97-98 108 42 391.41 1.88 87 2.05 202 531.91 98-99 66 28 413.99 1.76 52 1.92 115 568.18 99-100 38 16 437.76 1.65 30 1.78 63 606.06 100-101 22 10 462.75 1.55 17 1.66 33 645.16 101-102 12 6 489.04 1.45 9 1.54 16 689.66 102-103 6 3 516.65 1.35 4 1.44 7 740.74 103-104 3 2 545.65 1.26 2 1.33 3 793.65 104-105 1 1 576.07 1.18 1 1.24 1 847.46 150822°— 21- 66 UNITED STATES LIFE TABLES. TABLE 8 LIFE TABLE FOR WHITE MALES IN THE BASED ON THE ESTIMATED MEAN POPULATION FOR THE 10-YEAR PERIOD, 1901 TO 1910 (10,939,400), AND ON THE (182,520), IN 1907 (190,077), IN 1908 (180,776), Note. — The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, N ew Jersey, Indiana, tables, are given on STATIONARY MALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which. Assuming the Mortality Rates in Column 4, AGE INTERVAL Op 100,000 Males Bokn Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older interval. age intervals. X to z+1 lx d x lOOOgs o e x L* W^r. T* 1000Z x /T.j 1 2 3 4 5 6 7 8 9 INFANT MORTA LITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. Per month. Annual rate. 0-1 100 000 4 733 47.33 49.32 8 038 20.40 4 932 108 20 28 1-2 95 267 1 227 12.88 51.69 7 888 77.16 4 924 070 19.35 2-3 94 040 1 057 11.24 52.28 7 793 88.44 4 916 182 19.13 3-4 92 983 931 10.02 52.79 7 710 99.36 4 908 389 18.94 4-5 92 052 828 8.99 53.24 1 7 636 110.64 4 900 679 18.78 5-6 91 224 744 8.16 53.64 7 571 122.16 4 893 043 18.64 6-7 90 480 674 7.45 54.00 7 512 133.80 4 885 472 18.52 7-8 89 806 609 6.78 54.32 7 458 147.00 4 877 960 18.41 8-9 89 197 551 6.18 54.60 7 410 161.40 4 870 502 18.32 9-10 88 646 503 5.67 54.86 7 366 175.68 4 863 092 18.23 10-11 88 143 459 5.21 55.09 7 326 191.52 4 855 726 18.15 11-12 87 684 422 4.81 55.29 7 289 207.24 4 848 400 18.09 LIFE TABLE F OR WHOLE R ANGE OF LIF1 : BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 12 738 127.38 49.32 90 997 7.14 4 932 108 20.28 1-2 87 262 2 634 30.19 55.48 85 708 32.54 4 841 111 18.02 2-3 84 628 1 164 13.75 56.19 84 Oil 72.17 4 755 403 17.80 3-4 83 464 734 8.80 55.97 83 082 113.19 4 671 392 17.87 4-5 82 730 535 6.47 55.46 82 452 154.12 4 588 310 18.03 5-6 82 195 431 5.24 54.82 81 980 190.21 4 505 858 18.24 6-7 81 764 361 4.43 54.11 81 583 225.99 4 423 878 18.48 7-8 81 403 306 3.75 53.34 81 250 265.52 4 342 295 18.75 8-9 81 097 262 3.23 52.54 80 966 309.03 4 261 045 19.03 9-10 80 835 230 2.85 51.71 80 720 350.96 4 180 079 19.34 10-11 80 605 211 2.61 50.86 80 500 381.52 4 099 359 19.66 11-12 80 394 202 2.51 49.99 80 293 397.49 4 018 859 20.00 12-13 80 192 203 2.54 • 49.11 80 091 394.54 3 938 566 20.36 13-14 79 989 214 2.67 48.24 79 882 373.28 3 858 475 20.73 14-15 79 775 231 2.90 47.37 79 660 344.85 3 778 593 21.11 15-16 79 544 253 3.19 46.50 79 418 313.91 3 698 933 21.51 16-17 79 291 282 3.56 45.65 79 150 280.67 3 619 515 21.91 17-18 79 009 315 3.99 44.81 78 851 250.32 3 540 365 22.32 18-19 78 694 350 4.45 43.99 78 519 224.34 3 461 514 22.73 19-20 78 344 387 4.94 43.18 78 150 201.94 3 382- 995 23.16 20-21 77 957 425 5.46 42.39 77 744 182.93 3 304 845 23.59 21-22 77 532 454 5.85 41.62 77 305 170.28 3 227 101 24.03 22-23 77 078 464 6.03 40.87 76 846 165.62 3 149 796 24.47 23-24 76 614 466 6.08 40.11 76 381 163.91 3 072 950 24.93 24-25 76 148 469 6.16 39.35 75 914 161.86 2 996 569 25.41 25-26 75 679 471 6.22 38.59 75 444 160.18 2 920 655 25.91 26-27 75 208 476 6.33 37.83 74 970 157.50 2 845 211 26.43 27-28 74 732 487 6.52 37.07 74 489 152.95 2 770 241 26.98 28-29 74 245 504 6.79 36.31 73 993 146.81 2 695 752 27.54 29-30 73 741 519 7.04 35.55 73 481 141.58 2 621 759 28.13 30-31 73 222 535 7.31 34.80 72 954 136.36 2 548 278 28.74 31-32 72 687 554 7.62 34.05 72 410 130.70 2 475 324 29.37 32-33 72 133 575 7.97 33.31 71 846 124.95 2 402 914 30.02 33-34 71 558 597 8.34 32.58 71 260 119.36 2 331 068 30.69 34-35 70 961 619 8.73 31.85 70 652 114.14 2 259 808 31.40 35-36 70 342 643 9.14 31.12 70 021 108.90 2 189 156 32.13 36-37 69 699 661 9.49 30.40 69 369 104.95 2 119 135 32.89 37-38 69 038 673 9.75 29.69 68 702 102.08 2 049 766 33.68 38-39 68 365 680 9.95 28.98 68 025 100.04 1 981 064 34.51 39-40 67 685 689 10.18 28.26 67 340 97.74 1 913 039 35.39 40-41 66 996 697 10.40 27.55 66 648 95.62 1 845 699 36.30 41-42 66 299 709 10.70 26.83 65 945 93.01 1 779 051 37.27 42-43 65 590 732 11.16 26.12 65 224 89.10 1 713 106 38.28 43-44 64 858 761 11.74 25.41 64 478 84.73 1 647 882 39.35 44-45 64 097 793 12.37 24.70 63 701 80.33 1 583 404 40.49 UNITED STATES LIFE TABLES. 67 ORIGINAL REGISTRATION STATES: 1901 TO 1910. TABLE 8 REPORTED DEATHS IN 1901 (169,530), IN 1902 (163,387), IN 1903 (167,134), IN 1904 (178,963), IN 1905 (177,105), IN 1906 IN 1909 (182,373), AND IN 1910 (194,791). Michigan, and the District of Columbia. An explanation of each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. STATIONARY MALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH KATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to £+1 ix d x 1000g x e x | I* W^x T* 1000k/T x 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AOE INTERVALS OF ONE YEAR— Continued.- Years. Annual rate. In years. Per year. Annual rate. 45-46 63 304 829 13.10 24.01 62 890 75.86 1 519 703 41.65 46-47 62 475 860 13.76 23.32 62 045 72.15 1 456 813 42.88 47-48 61 615 876 14.22 22.64 61 177 69.84 1 394 768 44.17 48-49 60 739 883 14.54 21.96 1 60 297 68.29 1 333 591 45.54 49-50 59 856 893 14.92 21.27 1 59 409 66.53 1 273 294 47.01 50-51 58 963 901 15.28 20.59 58 513 64.94 1 213 885 48.57 51-52 58 062 920 15.85 19.90 57 602 62.61 1 155 372 50.25 52-53 57 142 962 16.83 19.21 56 661 58.90 1 097 770 52.06 53-54 56 180 1 021 18.18 18.53 55 669 54.52 1 041 109 53.97 54-55 55 159 1 084 19.66 17.87 54 617 50.38 985 440 55.96 55-56 54 075 1 156 21.38 17.21 53 497 46.28 930 823 58.11 56-57 52 919 1 227 23.18 16.58 52 306 42.63 877 326 60.31 57-58 51 692 1 283 24.83 15.96 51 051 39.79 825 020 62.66 58-59 50 409 1 330 26.37 15.35 49 744 37.40 773 969 65.15 59-60 49 079 1 378 28.09 14.76 48 390 35.12 724 225 67.75 60-61 47 701 1 426 29.90 14.17 46 988 32.95 675 835 70.57 61-62 46 275 1 478 31.93 13.59 45 536 30.81 628 847 73.58 62-63 44 797 1 537 34.32 13.02 44 029 28.65 583 311 76.80 63-64 43 260 1 602 37.04 12.47 42 459 26.50 539 282 80.19 64-65 41 658 1 662 39.88 11.93 40 827 24.56 496 823 83.82 65-66 39 996 1 717 42.92 11.40 39 138 22.79 455 996 87.72 66-67 38 279 1 762 46.05 10.89 37 398 21.22 416 858 91.83 67-68 36 517 1 797 49.22 10.39 35 618 19.82 379 460 96.25 68-69 34 720 1 824 52.53 9.90 33 808 18.54 343 842 101.01 69-70 32 896 1 846 56.11 9.42 31 973 17.32 310 034 106.16 70-71 31 050 1 860 59.90 8.96 30 120 16.19 278 061 111.61 71-72 29 190 1 877 64.31 8.49 28 252 15.05 247 941 117.79 72-73 27 313 1 902 69.63 8.04 26 362 13.86 219 689 124.38 73-74 25 411 1 925 75.79 7.61 24 449 12.70 193 327 131.41 74-75 23 486 1 939 82.54 7.19 22 516 11.61 168 878 139.08 75-76 21 547 1 942 90.15 6.79 20 576 10.60 146 362 147.28 76-77 19 605 1 922 98.03 6.42 18 644 9.70 125 786 155.76 77-78 17 683 1 870 105.76 6.06 16 748 8.96 107 142 165.02 78-79 15 813 1 797 113.64 5.72 14 914 8.30 90 394 174.83 79-80 14 016 1 721 122.81 5.39 13 155 7.64 75 480 185.53 80-81 12 295 1 644 133.66 5.07 11 473 6.98 62 325 197.24 81-82 10 651 1 548 145.39 4.77 9 877 6.38 50 852 209.64 82-83 9 103 1 429 156.97 4.50 8 388 5.87 40 975 222.22 83-84 7 674 1 299 169.30 4.25 7 024 5.41 32 587 235.29 84-85 6 375 1 161 1S2.08 4.01 5 794 4.99 25 563 249.38 85-86 5 214 1 017 195.04 3.79 4 706 4.63 19 769 263.85 86-87 4 197 873 208.05 3.59 3 760 4.31 15 063 278.55 87-88 3 324 735 221.09 3.40 2 956 4.02 11 303 294.12 88-89 ! 2 589 606 234.23 3.22 2 286 3.77 8 347 310.56 89-90 1 983 491 247.63 3.06 1 737 3.54 6 061 326.80 90-91 1 492 390 261.48 2.90 1 297 3.32 4 324 344.83 91-92 1 102 304 275.88 2.75 950 3.12 3 027 363.64 92-93 798 232 290.92 2.60 682 2.94 2 077 384.62 93-94 566 174 306.60 2.47 479 2.76 1 395 404.86 94-95 392 126 322.91 2.34 329 2.60 916 427.35 95-96 266 91 339.81 2.21 220 2.44 587 452.49 96-97 175 62 357.34 2.09 144 2.30 367 478.47 97-98 113 43 375.58 1.98 92 2.16 223 505.05 98-99 70 27 394.71 1.87 56 2.07 131 534.76 99-100 43 18 414.95 1.77 34 1.91 75 564.97 100-101 25 11 436.52 1.66 19 1.79 41 602.41 101-102 14 6 459.66 1.56 11 1.68 22 641.03 102-103 8 4 484.16 1.47 6 1.57 11 680.27 103-104 4 2 510.09 1.38 3 1.46 5 724.64 104-105 2 1 537.58 1.29 1 1.36 2 775.19 105-106 1 1 566.72 1.20 1 1.26 1 833.33 68 UNITED STATES LIFE TABLES. TABLE 9 LIFE TABLE FOR WHITE MALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (11,932,963), AND ON THE Note. — The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on AGE INTERVAL Period of lifetime between two exact ages. X to X+l Of 100,000 Males Born Alive: Number alive at beginning of age interval. Number dying ill age interval. Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. 1000 ?a . OoMPLETE Expectation or Life. Average length i of life remaining 1 to each one alive at beginning of age interval. e x STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. L* MEASURE OF VITALITY. Population per death in age interval. LzMe POPULATION IN CUE- RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals lOOOZz/Tz INFANT mortality— first year of life by age intervals of one month. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 TOO 000 95 156 93 914 92 902 92 039 91 289 90 616 90 006 89 453 UK 950 88 493 88 073 Monthly rate. 4 844 48.44 1 242 . 13.05 1 012 10.78 863 9.28 750 8.15 673 7.37 610 6.73 553 6.15 503 5.62 457 5.14 420 4.74 399 4.53 In years. 50.23 52.71 53.32 53.82 54.24 54.60 54.92 55.21 55.47 55.70 55.90 56.08 8 031 7 878 7 784 7 706 7 639 7 579 526 477 433 393 357 323 19.92 76.08 92.28 107.16 122.28 135.12 148.08 162.24 177.36 194.16 210.24 220.20 023 015 007 999 991 984 976 969 961 954 946 939 371 340 462 678 972 333 754 228 751 318 925 568 Annual rate. 19.91 18.97 18.75 18.58 18.44 18.32 18.21 18.11 18.03 17.95 17.89 17.83 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. -1 1 -2 2 -3 3 -4 4 -5 5 -6 6 -7 7 -8 8 -9 9 -10 TO -11 11 -12 12 -13 13 -14 14 -15 15 -16 16 -17 17 ■18 IS • 19 19 ■20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 .11 32 32 :t.'S 33 34 34- 35 35- 36 36- 37 37- 38 38- 39 39- 40 40- 11 41- 42 42- 43 43- 44 44- 45 100 000 87 674 85 2111 81 117 83 449 82 972 82 581 82 251 81 971 81 731 81 519 81 325 81 140 80 954 80 759 80 549 80 321 8(1 068 79 785 79 467 79 116 78 729 78 316 77 894 77 472 77 047 76 621 7<; 189 75 746 75 286 74 810 74 316 73 801 73 261 72 697 72 108 71 494 70 858 70 204 69 534 68 848 68 144 67 422 66 678 65 909 Annual rate 2 326 123.26 2 473 28.21 1 084 12.73 668 7.93 477 5.72 391 4.71 330 4.00 280 3.40 240 2.93 212 2.59 194 2.38 185 2.28 186 2.29 195 2.41 210 2.59 228 2.83 253 3.15 283 3.55 318 3.98 351 4.42 387 4.89 413 5.24 422 5.39 422 5.42 425 5.48 426 5.54 432 5.63 443 5.82 460 6.07 476 6.33 494 6.60 515 6.93 540 7.31 564 7.70 589 8.10 614 8.52 636 8.90 654 9.23 670 9.54 686 9.87 704 10.22 722 10.60 744 11.04 769 11.52 794 12.05 In years. 50.23 56.26 56.88 56.60 56.05 55.37 54.63 53.85 53.03 52.19 51.32 50.44 49.56 48.67 47.79 46.91 46.04 45.18 44.34 43.52 42.71 41.92 11.13 40.36 39.57 38.79 38.00 37.21 36.43 35.65 34.87 34.10 33.33 32.58 31.82 31.08 30.34 29.61 28.88 28.16 27.43 26.71 25.99 25.27 24.56 91 126 86 215 Ml 626 83 770 83 201 82 777 82 416 82 111 81 851 81 625 si 422 St 232 81 047 8(1 856 80 654 80 435 80 195 79 926 79 626 79 291 78 922 78 522 78 105 77 683 77 259 76 834 76 405 75 968 75 516 75 048 71 563 71 058 7:t 531 72 979 72 402 71 801 71 176 70 53 1 69 869 69 191 (is 496 67 783 67 050 66 294 65 512 Per year. 7.39 34.86 78.07 125.40 174.43 211.71 249.75 293.25 341.05 385.02 419.70 439.09 435.74 414.65 384.07 352.79 316.98 282.42 250.40 225.90 203.93 190.13 185.08 184.08 181.79 180.36 176.86 171.49 164.17 157.66 150.94 143.80 136.17 129.40 122.92 116.94 111.91 107.85 104.28 100.86 97.30 93.88 90.12 86.21 82.51 5 023 371 4 932 245 4 846 030 4 761 404 4 677 634 4 594 433 4 511 656 4 429 240 4 347 129 4 265 278 4 183 653 4 102 231 4 020 999 3 939 952 3 859 096 3 778 442 3 698 007 3 617 812 3 537 886 3 458 260 3 378 969 3 300 047 3 221 525 3 143 420 3 065 737 2 988 478 2 911 644 2 835 239 2 759 271 ^ 683 755 2 608 707 2 534 144 ■j 460 086 2 386 555 2 313 576 2 241 174 2 169 373 2 098 197 2 027 666 1 957 797 1 888 606 1 820 110 1 752 327 1 685 277 1 618 983 Annual rate. 19.91 17.77 17.58 17.67 17.84 18.06 18.30 18.57 18.86 19.16 19.49 19.83 20.18 20.55 20.92 21.32 21.72 22.13 22.55 22.98 23.41 23.85 24.31 24.78 25.27 25.78 26.32 26.87 27.45 28.05 28.68 29.33 30.00 30.69 31.43 32.18 32.96 33.77 34.63 35.51 36.46 37.44 38.48 39.57 40.72 UNITED STATES LIFE TABLES. 69 ORIGINAL REGISTRATION STATES: 1910. TABLE 9 REPORTED DEATHS IN 1909 (182,373), IN 1910 (194,791), AND IN 1911 (190,497). Michigan, and the District of Columbia. An explanation of each column or the lite tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. STATIONARY MALE POPULATION, AGE INTERVAL. Of 100,000 Males Born Alive: Rate op Mortality per Thousand. Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION IN CUKBENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x-\-l •>x d x lOOOfe ex Lz T-*xldx T* lOOOyTz 1 - 3 4 5 6 7 8 9 ¥ LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rat* 3 . 45-46 46-47 47-48 48-49 49-50 65 115 64 292 63 440 62 563 61 663 823 852 877 900 922 12.64 13.25 13.83 14.37 14.95 23.86 23.16 22.46 21.77 21.08 64 703 63 866 63 001 62 113 61 202 78.62 74.96 71.84 69.01 66.38 1 553 471 1 488 768 1 424 902 1 361 901 1 299 788 41.91 43.18 44.52 45.93 47.44 50-51 51-52 52-53 53-54 54-55 60 741 59 798 58 827 57 815 56 748 943 971 1 012 1 067 1 126 15.53 16.24 17.21 18.45 19.85 20.39 19.70 19.02 18.35 17.68 60 270 59 312 58 321 57 281 56 185 63.91 61.08 57.63 53.68 49.90 1 238 586 1 178 316 1 119 004 1 060 683 1 003 402 49.04 50.76 52.58 54.50 56.56 55-56 56-57 57-58 58-59 59-60 55 622 54 426 53 158 51 825 50 435 1 196 1 268 1 333 1 390 1 448 21.50 23.30 25.08 26.81 28.71 17.03 16.39 15.77 15.16 14.57 55 024 53 792 52 491 51 130 49 711 46.01 42.42 39.38 36.78 34.33 947 217 892 193 838 401 785 910 734 780 58.72 61.01 63.41 65.96 68.63 60-61 61-62 62-63 63-64 64-65 48 987 47 481 45 916 44 291 42 604 1 506 1 565 1 625 1 687 1 742 30.75 32.95 35.41 38.09 40.88 13.98 13.41 12.85 12.31 11.77 48 234 46 699 45 104 43 447 41 733 32.03 29.84 27.76 25.75 23.96 685 069 636 835 590 136 545 032 501 585 71.53 74.57 77.82 81.23 84.96 65-66 66-67 67-68 68-69 69-70 40 862 39 073 37 241 35 371 33 464 1 789 1 832 1 870 1 907 1 937 43.79 46.87 50.23 53.92 57.88 11.25 10.75 10.25 9.77 9.29 39 967 38 157 36 306 34 417 32 495 22.34 20.83 19.41 18.05 16.78 459 852 419 885 381 728 345 422 311 005 88.89 93.02 97.56 102.35 107.64 70-71 71-72 72-73 73-74 74-75 31 527 29 568 27 590 25 595 23 590 1 959 1 978 1 995 2 005 2 005 62.14 66.90 72.30 78.33 84.99 8.83 8.39 7.95 7.53 7.13 30 547 28 579 26 592 24 592 22 587 15.59 14.45 13.33 12.27 11.27 278 510 247 963 219 384 192 792 168 200 113.25 119.19 125.79 132.80 140.25 75-76 76-77 77-78 78-79 79-80 21 585 19 588 17 622 15 718 13 897 1 997 1 966 1 904 1 821 1 737 92.53 100.34 108.04 115.88 124.98 6.75 6.38 6.04 5.71 5.39 20 586 18 605 16 670 14 808 13 029 10.31 9.46 8.76 8.13 7.50 145 613 125 027 106 422 89 752 74 944 148.15 156.74 165.56 175.13 185.53 80-81 81-82 82-83 83-84 84-85 12 160 10 509 8 962 7 543 6 272 1 651 1 547 1 419 1 271 1 127 135.75 147.28 158.33 168.54 179.56 5.09 4.81 4.56 4.32 4.10 11 335 9 736 8 252 6 907 5 708 6.87 6.29 5.82 5.43 5.07 61 915 50 580 40 844 32 592 25 685 196.46 207.90 219.30 231.48 243.90 85-86 86-87 87-88 88-89 89-90 5 145 4 162 3 317 2 602 2 008 983 845 715 594 485 191.11 203.07 215.45 228.30 241.57 3.88 3.68 3.49 3.31 3.15 4 654 3 739 2 960 2 305 1 766 4.73 4.42 4.14 3.88 3.64 19 977 15 323 11 584 8 624 6 319 257.73 271.74 286.53 302.11 317.46 90-91 91-92 92-93 93-94 94-95 1 523 1 134 829 595 419 389 305 234 176 130 255.17 268.87 282.56 296.24 310.21 2.99 2.84 2.70 2.57 2.44 1 329 982 712 507 354 3.42 3.22 3.04 2.88 2.72 4 553 3 224 2 242 1 530 1 023 334.45 352.11 370.37 389.11 409.84 95-96 96-97 97-98 98-99 99-100 289 195 129 82 51 94 66 47 31 20 324.86 340.85 358.73 379.05 401.97 2.31 2.19 2.06 1.93 1.80 242 162 105 67 41 2.58 2.43 2.29 2.14 1.99 669 427 265 160 93 432.90 456.62 485.44 518.13 555.56 100-101 101-102 102-103 103-104 104-105 31 18 10 5 2 13 8 5 3 1 427.46 455.22 485.01 516.40 548.76 1.68 1.56 1.45 1.34 1.25 24 14 7 4 2 1.84 1.70 1.56 1.44 1.32 52 28 14 7 3 595.24 641.03 689.66 746.27 800.00 105-106 1 1 582.65 1.15 1 1.22 1 869.57 70 UNITED STATES LIFE TABLES. TABLE 10 LIFE TABLE FOR WHITE FEMALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (9,972,995), AND ON THE Note.— The original registration states include Maine, New Hampshire. Vermont, Massachusetts, Rhode Island, Connecticut, Knv York, New Jersey, Indiana, tables, are given on AGE INTERVAL Period of lifetime between two exact ages. X to x+1 Of 100,000 Females Born Alive: Number alive at beginning of age interval. Number dying in age interval dx Rate op Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. 1000ft; Complete Expectation op Life. Average length of life remaining to each one alive at beginning of age interval. e x STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. Population per death in age interval. \j x jd x POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rentandallolder age intervals. JOOOZz/Te INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 100 ooo 96 495 95 509 94 587 93 728 92 935 92 204 91 536 9(1 929 90 372 K9 864 89 392 Monthly rate. In years 3 505 35.05 51.08 986 10.22 52.85 922 9.66 53.31 859 9.07 53.75 793 ■8.47 54.16 731 7.86 54.54 668 7.25 54.89 607 6.64 55.20 557 6.12 55.49 508 5.63 55.75 472 5.25 55.98 453 5.06 56.19 8 114 8 000 7 921 7 846 7 778 7 714 656 603 554 510 469 430 Per month. 27.72 97.32 103.08 109.56 117.72 126.60 137.52 150.36 162.72 177.36 189.84 196.80 5 107 990 5 099 876 5 091 876 5 083 955 5 076 109 5 068 331 5 060 617 5 052 961 5 045 358 5 037 804 5 030 294 5 022 825 Annual rate. 19.58 18.92 18.76 18.60 18.46 18.34 18.22 18.12 18.02 17.94 17.86 17.80 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. -1 1 -2 2 -3 3 -4 4 -5 5 -6 6 -7 7 -K H -9 9 -10 10 -n 11 -12 12 -13 13 -14 14 -15 15 -16 16 -17 17 -1H 18 ■ 19 19 -20 20 -21 21 -22 22 ■23 23 ■21 24 ■25 25 • 26 26 ■27 27 ■28 28 ■29 29 30 30 31 31 32 32 33 33 34 34- 35 35- 36 36- 37 37- 38 38. 39 39- 40 40- 41 11- 12 42- 4 3 43- 44 44- 45 100 000 88 939 86 168 84 890 84 061 83 426 82 934 82 536 82 213 81 948 81 723 81 522 81 330 81 133 80 919 80 680 80 406 80 097 79 755 79 383 78 978 78 540 78 076 77 592 77 096 76 588 76 068 75 538 74 998 74 447 73 887 73 316 72 737 72 152 71 563 70 971 70 376 69 777 69 171 68 557 67 935 67 303 66 661 66 010 65 350 Annual rate. 11 061 110.61 2 771 31.15 1 278 14.84 829 9.76 635 7.55 492 5.89 398 4.80 323 3.91 265 3.23 225 2.74 201 2.46 192 2.36 197 2.43 214 2.63 239 2.96 274 3.39 309 3.85 342 4.27 372 4.67 405 5.10 438 5.54 464 5.92 484 6.19 496 6.39 508 6.60 520 6.79 530 6.97 540 7.15 551 7.34 560 7.53 571 7.72 579 7.90 585 8.05 589 8.16 592 8.28 595 8.39 599 8.51 606 8.68 614 8.88 622 9.08 632 9.31 642 9.53 651 9.76 660 10.01 673 10.30 In years. 51.08 56.39 57.19 57.05 56.60 56.03 55.36 51.62 53.84 53.01 52.15 51.28 50.40 49.52 48.65 47.79 46.96 46.14 45.33 44.54 43.77 43.01 42.26 41.52 40.79 40.05 39.32 38.60 37.87 37.15 36.42 35.70 34.98 34.26 33.54 32.82 32.09 31.36 30.63 29.90 29.17 28.44 27.71 26.98 26 24 92 595 87 304 85 491 84 459 83 731 83 180 82 735 82 375 82 081 81 836 81 623 81 426 81 231 81 026 80 800 80 543 80 252 79 926 79 569 79 180 78 759 78 308 77 834 77 344 76 842 76 328 75 803 75 268 74 723 74 167 73 602 73 027 72 444 71 858 71 267 70 673 70 076 69 474 68 864 68 246 67 619 06 982 66 336 65 680 65 013 Per year. 8.37 31.51 66.89 101.88 131.86 169.07 207.88 255.03 309.74 363.72 406.08 424.09 412.34 378.63 338.08 293.95 259.72 233.70 213.90 195.51 179.82 168.77 160.81 155.94 151.26 146.78 143.02 139.39 135.61 132.44 128.90 126.13 123.84 122.00 120.38 118.78 116.99 114.64 112.16 109.72 106.99 104.33 101.90 99.52 96.60 5 107 990 5 015 395 4 928 091 4 842 600 4 758 141 4 674 110 4 591 230 4 508 495 4 426 120 4 344 039 4 262 203 4 180 580 4 099 154 4 017 923 3 936 897 3 856 097 3 775 554 3 695 302 3 615 376 3 535 807 3 456 627 3 377 868 3 299 560 3 221 726 3 144 382 3 067 540 '2 991 212 2 915 409 2 840 141 2 765 418 2 691 251 2 617 649 2 544 622 2 472 178 2 400 320 2 329 053 2 258 380 <2 188 304 •2 118 830 .» 049 966 1 981 720 1 914 101 1 8(7 119 1 7 81) 783 1 715 103 Annual rate. 19.58 17.73 17.49 17.53 17.67 17.85 18.06 18.31 18.57 18.86 19.18 19.50 19.84 20.19 20.55 20.92 21.29 21.67 22.06 22.45 22.85 23.25 23.66 24.08 24.52 24.97 25.43 25.91 26.41 26.92 27.46 28.01 28.59 29.19 29.82 30.47 31.16 31.89 32.65 33. II 34.28 35-16 36.0:> 37.06 38.11 UNITED STATES LIFE TABLES. 71 ORIGINAL REGISTRATION STATES: 1901. TABLE 10 REPORTED DEATHS IN 1900 (159,079), IN 1901 (152,418), AND IN 1902 (145,163). Michigan, and the District of Columbia. An explanation of each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. AGE INTERVAL Period of lifetime between two exact ages. X to X-\-l Of 100,000 Females Born Alive: Number alive at beginning of age interval. Number dying in age interval dx Rate op Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. lOOOfo Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. ex STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which. Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Population per death in age interval. T*c/dx Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. lOOOZz/Tz LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. 15-16 46-47 47-48 48-49 49-50 50-51 51-52 52-53 53-54 54-55 55-56 56-57 57-58 58-59 59-60 60-61 61-62 62-63 63-64 64-65 ,65-66 66-67 67-68 68-69 69-70 70-71 71-72 72-73 73-74 74-75 75-76 76-77 77-78 78-79 79-80 80-81 81-82 82-83 83-84 84-85 85-86 86-87 87-88 88-89 89-90 90-91 91-92 92-93 93-94 94-95 95-96 96-97 97-98 98-99 99-100 100-101 101-102 102-103 103-104 104-105 105-106 64 677 63 989 63 282 62 551 61 792 61 005 60 189 59 340 58 448 57 505 56 509 55 453 5+ 340 53 182 51 986 50 752 49 480 48 163 46 783 45 330 43 806 42 211 40 548 38 824 37 043 35 206 33 316 31 377 29 399 27 391 25 362 •23 323 21 287 19 267 17 282 15 349 13 490 11 723 10 068 8 540 7 149 5 901 4 797 3 837 3 014 2 322 1 753 1 294 932 655 448 298 192 119 71 41 22 12 6 3 Annua] rate 688 10.63 707 11.05 731 11.56 759 12.13 787 12.74 816 13.37 849 14.11 892 15.03 943 16.12 996 17.33 1 056 18.69 1 113 20.07 1 158 21.31 1 196 22.48 1 234 23.75 1 272 25.06 1 317 26.63 1 380 28.65 1 453 31.06 1 524 33.63 1 595 36.41 1 663 39.39 1 724 42.52 1 781 45.87 1 837 49.59 1 890 53.69 1 939 58.20 1 978 63.04 2 008 68.31 2 029 74.07 2 039 80.39 2 036 87.31 2 020 94.87 1 985 103.05 1 933 111.84 1 859 121.15 1 767 130.94 1 655 141.16 1 528 151.79 1 391 162.90 1 248 174.60 1 104 187.01 960 200.26 823 214.41 692 229.45 569 245.32 459 261.93 362 279.25 277 297.27 207 316.05 150 335.71 106 356.38 73 378.24 48 401.40 30 425.94 19 451.93 10 479.35 6 508.17 3 538.42 2 570.15 1 603.40 In years. 25.51 24.78 24.05 23.33 22.61 21.89 21.18 20.48 19.78 19.10 18.43 17.77 17.12 16.49 15.85 15.23 14.61 13.99 13.39 12.80 12.23 11.67 11.13 10.60 10.09 9.59 9.11 8.64 8.19 7.75 7.33 6.93 6.54 6.17 5.83 5.50 5.19 4.89 4.61 4.35 4.10 3.86 3.63 3.41 3.21 3.02 2.84 2.67 2.50 2.35 2.21 2.07 1.94 1.81 1.70 1.58 1.48 1.38 1.28 1.19 1.10 64 333 63 636 62 916 62 171 61 398 60 597 59 764 58 894 57 976 57 007 55 981 54 H96 53 761 52 584 51 369 50 116 4N 821 47 473 46 056 14 568 43 008 41 379 39 686 37 933 36 125 34 261 32 346 30 388 28 395 26 376 24 342 -22 305 20 277 18 275 16 315 14 419 12 606 10 896 9 304 7 844 6 525 5 349 4 317 3 425 2 668 2 038 1 523 1 113 794 552 373 245 155 95 56 32 17 9 1 Per year. 93.51 90.01 86.07 81.91 78.02 74.26 70.39 66.02 61.48 57.24 53.01 49.32 46.43 43.97 41.63 39.40 37.07 34.40 31.70 29.24 26.96 24.88 23.02 21.30 19.67 18.13 16.68 15.36 14.14 13.00 11.94 10.96 10.04 9.21 8.44 7.75 7.14 6.58 6.09 5.64 5.23 4.85 4.49 4.16 3.86 3.58 3.32 3.08 2.86 2.66 2.48 2.31 2.14 1.99 1.85 1.71 1.59 1.47 1.36 1.25 1.16 650 090 585 757 522 121 459 205 397 034 335 636 275 039 215 275 156 381 098 405 1 041 398 985 417 930 521 876 760 824 176 772 807 722 691 673 870 626 397 580 341 535 773 492 765 451 386 411 700 373 767 337 642 303 381 271 035 240 647 212 252 185 876 161 534 139 229 118 952 100 677 84 362 69 943 57 337 46 441 37 137 29 293 22 768 17 419 13 102 9 677 7 009 4 971 3 448 2 335 1 541 989 616 371 216 121 65 33 16 7 3 Annual rate. 39.20 40.36 41.58 42.86 44.23 45.68 47.21 48.83 50.56 52.36 54.26 56.27 58.41 60.64 63.09 65.66 68.45 71.48 74.68 78.13 81.77 85.69 89.85 94.34 99.11 104.28 109.77 115.74 122.10 129.03 136.43 114.30 152.91 162.07 171.53 181.82 192.68 204.50 216.92 229.89 2 L3.90 259.07 275.48 293.26 311.53 331.13 352.11 374.53 400.00 425.53 452.49 483.09 515.46 552.49 588.24 632.91 675.68 724.64 781.25 840.34 909.09 72 UNITED STATES LIFE TABLES. TABLE 11 LIFE TABLE FOR WHITE FEMALES IN THE BASED ON THE ESTIMATED MEAN POPULATION FOR THE 10-YEAR PERIOD, 1901 TO 1910 (10,812,512), AND ON THE (159,942), IN 1907 (164,912), IN 1908 (159,081), Note. — The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on STATIONARY FEMALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, whch, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Through ul Each Year. • Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x-\-l <*x dx lOOOgz o ex Lj; Lr/dc % loooyTz 1 2 3 4 s- 6 7 8 9 INF VNT MORTAI ITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. Per month. Annual rate. 0-1 100 000 3 684 36.84 52.54 8 103 26.40 5 253 956 19.03 1-2 96 316 983 10.21 54.47 7 985 97.44 5 245 853 18.36 2-3 95 333 879 9.23 54.94 7 908 108.00 5 237 868 18.20 3-4 94 454 783 8.29 55.37 7 839 120.12 5 229 960 18.06 4-5 93 671 702 7.50 55.75 7 777 132.96 5 222 121 17.94 5-6 92 969 639 6.87 56.09 7 721 144.96 5 214 344 17.83 6-7 92 330 588 6.37 56.39 7 670 156.48 5 206 623 17.73 7-8 91 742 540 5.88 56.67 7 623 169.44 5 198 953 17.65 8-9 91 202 493 5.41 56.92 7 580 184.56 5 191 330 17.57 9-10 90 709 450 4.96 57.15 7 540 201.12 5 183 750 17.50 10-11 90 259 415 4.61 57.35 7 504 216.96 5 176 210 17.44 11-12 89 844 395 4.39 57.53 7 471 226.92 5 168 706 17.38 LIF E TABLE FO R WHOLE RA NTGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 10 551 105.51 52.54 92 721 8.79 5 253 956 19.03 1-2 89 449 2 453 27.43 57.70 88 002 35.88 5 161 235 17.33 2-3 86 996 1 097 12.61 58.32 86 414 78.77 5 073 233 17.15 3-4 85 899 711 8.28 58.05 85 529 120.29 4 986 819 17.23' 4-5 85 188 520 6.10 57.53 84 917 163.30 4 901 290 17.38 5-6 84 668 423 5.00 56.89 84 456 199.66 4 816 373 17.58 6-7 84 245 350 4.16 56.17 84 070 240.20 4 731 917 17.80 7-8 83 895 292 3.47 55.40 83 749 286.81 4 647 847 18.05 8-9 83 603 246 2.94 54.59 83 480 339.35 4 564 098 18.32 9-10 83 357 214 2.57 53.75 83 250 389.02 4 480 618 18.60 10-11 83 143 196 2.36 52.89 83 045 423.70 4 397 368 18.91 11-12 82 947 190 2.29 52.01 82 852 436.06 4 314 323 19.23 12-13 82 757 194 2.34 51.13 82 660 426.08 4 231 471 19.56 13-14 82 563 207 2.51 50.25 82 460 398.36 4 148 811 19.90 14-15 82 356 227 2.76 49.38 82 243 362.30 4 066 351 20.25 15-16 82 129 254 3.09 48.51 82 002 322.84 3 984 108 20.61 16-17 81 875 282 3.45 47.66 81 734 289.84 3 902 106 20.98 17-18 81 593 310 3.80 46.82 81 438 262.70 3 820 372 21.36 18-19 81 283 337 4.15 46.00 81 115 240.70 3 738 934 21.74 19-20 80 946 365 4.51 45.19 80 763 221.27 3 657 819 22.13 20-21 80 581 395 4.90 44.39 80 383 203.50 3 577 056 22.53 21-22 80 186 418 5.21 43.61 79 977 191.33 3 496 673 22.93 22-23 79 768 433 5.43 42.83 79 551 183.72 3 416 696 23.35 23-24 79 335 444 5.59 42.06 79 113 178.18 3 337 145 23.78 24-25 78 891 454 5.75 41.30 78 664 173.27 3 258 032 24.21 25-26 78 437 463 5.91 40.53 78 206 168.91 " 3 179 368 24.67 26-27 77 974 474 6.07 39.77 77 737 164.00 3 101 162 25.14 27-28 77 500 484 6.25 39.01 77 258 159.62 3 023 425 25.63 28-29 77 016 497 6.45 38.25 76 767 154.46 2 946 167 26.14 29-30 76 519 510 6.65 37.50 76 264 149.54 2 869 400 26.67 30-31 76 009 521 6.87 36.75 75 749 145.39 2 793 136 27.21 31-32 75 488 534 7.07 36.00 75 221 140.86 2 717 387 27.78 32-33 74 954 545 7.26 35.25 74 681 137.03 2 642 166 28.37 33-34 74 409 ' 553 7.43 34.51 74 133 134.06 2 567 485 28.98 34-35 73 856 561 7.60 33.76 73 576 131.15 2 493 352 29.62 35-36 73 295 570 7.77 33.01 73 010 128.09 2 419 776 30.29 36-37 72 725 576 7.93 32.27 72 437 125.76 2 346 766 30.99 37-38 72 149 583 8.07 31.52 71 857 123.25 2 274 329 31.73 38-39 71 566 588 8.22 30.78 71 272 121.21 2 202 472 32.49 39-40 70 978 595 8.38 30.03 70 681 118.79 2 131 200 33.30 40-41 70 383 601 8.54 29.28 70 083 116.61 2 060 519 34.15 41-42 69 782 611 8.76 28.52 69 477 113.71 1 990 436 35.06 12- CS 69 171 626 9.05 27.77 68 858 110.00 1 920 959 36.01 13- 1 1 68 545 644 9.41 27.02 68 223 105.94 1 852 101 37.01 44-45 67 901 666 9.81 26.27 67 568 101.45 1 783 878 38.07 UNITED STATES LIFE TABLES. ORIGINAL REGISTRATION STATES: 1901 TO 1910. 73 TABLE 11 REPORTED DEATHS IN 1901 (152,418), IN 1902 (145,163), IN 1903 (149,516), IN 1904 (159,338), IN 1905 (157,239), IN 1906 IN 1909 (160,227), AND IN 1910 (170,233). Michigan, and the District of Columbia. An explanation of each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. STATIONARY FEMALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigra ion and Immigration, which. Assuming the Mortality Rales in Column \, AGE INTERVAL. Op 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PES THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year • of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x+1 'a; dx lOOOfc %x La; La/dx % lOOOZa/T,; 1 2 3 4 5 8 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 67 235 691 10.27 25.53 66 889 96.80 1 716 310 39.17 46-47 66 544 716 10.76 24.79 66 186 92.44 1 649 421 40.34 47-48 65 828 740 11.24 24.05 65 458 88.46 1 583 235 41.58 48-49 65 088 762 11.71 23.32 64 707 84.92 1 517 777 42.88 49-50 64 326 787 12.24 22.59 63 932 81.24 1 453 070 44.27 50-51 63 539 812 12.78 21.86 63 133 77.75 1 389 138 45.75 51-52 62 727 844 13.45 21.14 62 305 73.82 1 326 005 47.30 52-53 61 883 887 14.34 20.42 61 439 69.27 1 263 700 48.97 53-54 60 996 i*42 15.44 19.71 60 525 64.25 1 202 261 50.74 54-55 60 054 1 001 16.67 19.01 59 554 59.49 1 141 736 52.60 55-56 59 053 1 068 18.08 18.33 58 519 54.79 1 082 182 54.56 56-57 57 985 1 135 19.58 17.65 57 418 50.59 1 023 663 56.66 57-58 56 850 1 196 21.03 17.00 56 252 47.03 966 245 58.82 58-59 55 654 1 247 22.42 16.35 55 031 44.13 909 993 61.16 59-60 54 407 1 303 23.94 15.71 53 755 41.25 854 962 63.65 60-61 53 104 1 356 25.53 15.09 52 426 38.66 801 207 66.27 61-62 51 748 1 414 27.33 14.17 51 041 36.10 748 781 69.11 62-63 50 334 1 484 29.49 13.86 49 592 33.42 697 740 72.15 63-64 48 850 1 562 31.97 13.27 48 069 30.77 648 148 75.36 64-65 47 288 1 634 34.57 12.69 46 471 28.44 600 079 78.80 65-66 45 654 1 705 37.33 12.13 44 802 26.28 553 608 82.44 66-67 43 949 1 770 40.28 11.58 43 064 24.33 508 806 86.36 67-68 42 179 1 831 43.43 11.04 41 263 22.54 465 742 90.58 68-69 40 348 1 890 46.84 10.52 39 403 20.85 424 479 95.06 69-70 38 458 1 946 50.59 10.01 37 485 19.26 385 076 99.90 70-71 36 512 1 998 54.72 9.52 35 513 17.77 347 591 105.04 71-72 34 514 2 044 59.23 9.04 33 492 16.39 312 078 110.62 72-73 32 470 2 081 64.09 8.58 31 429 15.10 278 586 116.55 73-74 30 389 2 106 69.29 8.13 29 336 13.93 247 157 123.00 74-75 28 283 2 120 74.95 7.70 27 223 12.84 217 821 129.87 75-76 26 163 2 122 81. Id 7.29 25 102 11.83 190 598 137.17 76-77 24 041 2 109 87.71 6.88 22 986 10.90 165 496 145.35 77-78 21 932 2 078 94.77 6.50 20 893 10.05 142 510 153.85 78-79 19 854 2 037 102.56 6.13 18 836 9.25 121 617 163.13 79-80 17 817 1 986 111.52 5.77 16 824 8.47 102 781 173.31 80-81 15 831 1 934 122.14 5.43 14 864 7.69 85 957 „ 184.16 81-82 13 897 1 856 133.54 5.12 12 969 6.99 71 093 195.31 82-83 12 041 1 739 144.41 4.83 11 172 6.42 58 124 207.04 83-84 10 302 1 592 154.51 4.56 9 506 5.97 46 952 219.30 84-85 8 710 1 445 165.91 4.30 7 988 5.53 37 446 232.56 85-86 7 265 1 297 178.61 4.05 6 617 5.10 29 458 246.91 86-87 5 968 1 144 191.60 3.83 5 396 4.72 22 841 261.10 87-88 4 824 986 204.46 3.62 4 331 4.39 17 445 276.24 88-89 3 838 835 217.43 3.42 3 421 4.10 13 114 292.40 89-90 3 003 696 231.75 3.23 2 655 3.81 9 693 309.60 90-91 2 307 569 246.87 3.05 2 023 3.55 7 038 327.87 91-92 1 738 457 262.65 2.89 1 510 3.31 5 015 346.02 92-93 1 281 357 278.76 2.74 1 103 3.09 3 505 364.96 93-94 924 272 294.77 2.60 788 2.89 2 402 384.62 94-95 652 202 310.26 2.48 551 2.72 1 614 403.23 95-96 450 147 324.90 2.37 377 2.58 1 063 421.94 96-97 303 102 338.69 2.27 252 2.45 686 440.53 97-98 201 71 351.88 2.17 165 2.34 434 460.83 98-99 130 47 365.07 2.08 106 2.24 269 480.77 99-100 83 32 378.85 1.99 67 2.14 163 502.51 100-101 51 20 393.81 1.90 41 2.04 96 626.32 101-102 31 13 410.34 1.80 25 1.94 55 555.56 102-103 18 8 428.71 1.71 14 1.83 30 584.80 103-104 10 4 448.87 1.61 8 1.73 16 621.12 104-105 6 3 470.64 1.52 4 1.62 8 657.89 105-106 3 1 495.50 1.43 2 1.52 4 699.30 106-107 2 1 520.29 1.34 1 1.42 2 746.27 107-108 1 1 547.27 1.26 1 1.33 1 793.65 1 74 UNITED STATES LIFE TABLES. TABLE 12 LIFE TABLE FOR WHITE FEMALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (11,706,221), AND ON THE Note. — The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on STATIONARY FEMALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to x-\-l l x dx lOOOgs H Lx La/dc T, loooyT* 1 2 3 4 5 6 7 8 9 INFA NT MORTAL] TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. Per month. Annual rate. 0-1 100 000 3 787 37.87 53.62 8 097 25.68 5 361 770 18.65 1-2 96 213 991 10.29 55.64 7 976 96.60 5 353 673 17.97 2-3 95 222 850 8.93 56.14 7 900 111.48 5 345 697 17.81 3-4 94 372 740 7.84 56.56 7 833 127.08 5 337 797 17.68 4-5 93 632 648 6.92 56.92 7 776 144.00 5 329 964 17.57 5-6 92 984 578 6.21 57.24 7 725 160.44 5 322 188 17.47 6-7 92 406 526 5.70 57.51 7 679 175.20 5 314 463 17.39 7-8 91 880 486 5.28 57.76 7 636 188.52 5 306 784 17.31 8-9 91 394 450 4.93 57.98 7 597 202.56 5 299 148 17.25 9-10 90 944 421 4.62 58.18 7 561 215.52 5 291 551 17.19 10-11 90 523 390 4.31 58.37 7 527 231.60 5 283 990 17.13 11-12 90 133 359 3.98 58.54 7 496 250.56 5 276 463 17.08 LIF E TABLE FO R WHOLE RA NTGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 10 226 102.26 53.62 92 803 9.08 5 361 770 18.65 1-2 89 774 2 319 25.83 58.69 88 406 38.12 5 268 967 17.04 2-3 87 455 999 11.43 59.24 86 925 87.01 5 180 561 16.88 3-4 86 456 644 7.45 58.92 86 121 133.73 5 093 636 16.97 4-5 85 812 463 5.39 58.35 85 571 184.82 5 007 515 17.14 5-6 85 349 382 4.47 57.67 85 158 222.93 4 921 944 17.34 6-7 84 967 316 3.72 56.93 84 809 268.38 4 836 786 17.57 7-8 84 651 262 3.09 56.14 84 520 322.60 4 751 977 17.81 8-9 84 389 220 2.61 55.31 81 279 383.09 4 667 457 18.08 9-10 84 169 190 2.26 54.45 84 074 442.49 4 583 178 18.37 10-11 83 979 173 2.06 53.57 83 892 484.92 4 499 104 18.67 11-12 83 806 166 1.98 52.68 83 723 504.36 4 415 212 18.98 12-13 83 640 169 2.02 51.79 83 555 494.41 4 331 489 19.31 13-14 83 471 181 2.16 50.89 1 83 380 460.66 4 247 934 19.65 14-15 83 290 197 2.37 50.00 83 192 422.29 4 164 554 20.00 15-16 83 093 220 2.65 49.12 ! 82 983 377.20 4 081 362 20.36 16-17 82 873 244 2.95 48.25 82 751 339.14 3 998 379 20.73 17-18 82 629 269 3.25 47.39 82 495 306.67 3 915 628 21.10 18-19 82 360 292 3.55 46.54 82 214 281.55 3 833 133 21.49 19-20 82 068 318 3.87 15.71 81 909 257.58 3 750 919 21.88 20-21 81 750 343 4.20 44.88 81 578 237.84 3 669 010 22.28 21-22 81 407 365 4.48 44.07 81 224 222.53 3 587 432 22.69 22-23 81 042 381 4.70 43.26 80 851 212.21 3 506 208 23.12 23-24 80 661 392 4.86 42.47 Nil 465 205.27 3 425 357 23.55 24-25 80 269 404 5.04 41.67 80 067 198.19 3 344 892 24.00 25-26 79 865 417 5.22 40.88 79 656 191.02 3 264 825 24.46 26-27 79 448 428 5.39 40.09 79 234 185.13 3 185 169 24.94 27-28 79 020 438 5.54 39.31 78 801 179.91 3 105 935 25.44 28-29 78 582 448 5.70 38.52 78 358 174.91 3 027 134 25.96 29-30 78 134 458 5.86 37.71 77 905 170.10 2 948 776 26.50 30-31 77 676 469 6.03 36.96 77 441 165.12 2 870 871 27.06 31-32 77 207 480 6.23 36.18 76 967 160.35 2 793 430 27.64 32-33 76 727 495 6.45 35.40 76 479 154.50 2 716 463 28.25 33-34 76 232 509 6.68 34.63 75 977 149.27 2 639 984 28.88 34-35 75 723 523 6.90 33.86 1 75 462 144.29 2 564 007 29.53 35-36 75 200 536 7.13 33.09 74 932 139.80 2 488 545 30.22 36-37 74 664 547 7.33 32.33 74 390 136.00 2 413 613 30.93 37-38 74 117 556 7.50 31.56 73 839 132.80 2 339 223 31.69 38-39 73 561 564 7.66 30.80 : 73 279 129.93 2 265 384 32.47 39-40 72 997 572 7.84 30.03 72 711 127.12 2 192 105 33.30 40-41 72 425 582 8.03 29.26 72 134 123.94 2 119 394 34.18 41-42 71 843 594 8.28 28.50 71 546 120.45 2 047 260 35.09 42-43 71 249 613 8.60 27.73 70 942 115.73 1 975 714 36.06 43-44 70 636 635 8.99 26.97 70 318 110.74 1 901 772 37.08 44-45 70 001 660 9.42 26.21 69 671 105.56 1 834 454 38.15 UNITED STATES LIFE TABLES. 75 ORIGINAL REGISTRATION STATES: 1910. TABLE 12 REPORTED DEATHS IN 1909 (160,227), IN 1910 (170,233), AND IN 1911 (165,918). Michigan, and the District of Columbia. An explanation of each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. ' STATIONARY FEMALE POPULATION, AGE INTERVAL. Of 100,000 Females Born Alive: Rate of Mortality per Thousand. Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x+] lx d x lOOOgz lx Lz L^/rfj; T* 1000Z X /T X 9 1 2 3 4 5 6 7 8 LIFE TABLE FOR WHOLE EANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 46-47 47-48 48-49 49-50 69 341 68 654 67 938 67 195 66 426 687 716 743 769 797 9.91 10.43 10.94 11.45 12.01 25.45 24.70 23.96 23.21 22.48 68 998 68 296 67 567 66 811 66 027 100.43 95.39 90.94 86.88 82.84 1 764 783 1 695 785 1 627 489 1 559 922 1 493 111 39.29 40.49 41.74 43.08 44.48 50-51 51-52 52-53 53-54 54-55 65 629 64 802 63 942 63 037 62 076 827 860 905 961 1 023 12.59 13.28 14.15 15.24 16.48 21.74 21.02 20.29 19.58 18.87 65 216 64 372 63 490 62 557 61 565 78.86 74.85 70.15 65.10 60.18 1 427 084 1 361 868 1 297 496 1 234 006 1 171 449 46.00 47.57 49.29 51.07 52.99 55-56 56-57 57-58 58-59 59-60 61 053 59 959 58 790 57 554 56 258 1 094 1 169 1 236 1 296 1 358 17.93 19.50 21.03 22.51 24.13 18.18 17.50 16.84 16.19 15.55 60 506 59 374 58 172 56 906 55 579 55.31 50.79 47.06 43.91 40.93 1 109 884 1 049 378 990 004 931 832 874 926 55.01 57.14 59.38 61.77 64.31 60-61 61-62 62-63 63-64 64-65 54 900 53 482 51 999 50 440 48 800 1 418 1 483 1 559 1 640 1 714 25.83 27.74 29.97 32.51 35.13 14.92 14.31 13.70 13.11 12.53 54 191 52 740 51 219 49 620 47 943 38.22 35.56 32.85 30.26 27.97 819 347 765 156 712 416 661 197 611 577 67.02 69.88 72.99 76.28 79.81 65-66 66-67 67-68 68-69 69-70 47 086 45 303 43 453 41 533 39 541 1 783 1 850 1 920 1 992 2 059 37.86 40.84 44.19 47.96 52.07 11.97 11.42 10.89 10.37 9.86 46 194 44 378 42 493 40 537 38 511 25.91 23.99 22.13 20.35 18.70 563 634 517 440 473 062 430 569 390 032 83.54 87.57 91.83 96.43 101.42 70-71 71-72 72-73 73-74 74-75 37 482 35 359 33 186 30 985 28 776 2 123 2 173 2 201 2 209 2 207 56.63 61.45 66.33 71.29 76.70 9.38 8.91 8.46 8.03 7.61 36 420 34 273 32 086 29 881 27 673 17.15 15.77 14.58 13.53 12.54 351 521 315 101 280 828 248 742 218 861 106.61 112.23 118.20 124.53 131.41 75-76 76-77 77-78 78-79 79-80 26 569 24 377 22 210 20 076 17 980 2 192 2 167 2 134 2 096 2 051 82.52 88.88 96.09 104.42 114.06 7.20 6.80 6.41 6.04 5.69 25 473 23 293 21 143 19 028 16 954 11.62 10.75 9.91 9.08 8.27 191 188 165 715 142 422 121 279 102 251 138.89 147.06 156.01 165.56 175.75 80-81 81-82 82-83 83-84 84-85 15 929 13 925 12 001 10 212 8 597 2 004 1 924 1 789 1 615 1 445 125.79 138.19 149.10 158.11 168.04 5.35 5.05 4.78 4.53 4.29 14 927 12 963 11 106 9 404 7 875 7.45 6.74 6.21 5.82 5.45 85 297 70 370 57 407 46 301 36 897 186.92 198.02 209.21 220.75 233.10 85-86 86-87 87-88 88-89 89-90 7 152 5 877 4 762 3 800 2 980 1 275 1 115 962 820 689 178.32 189.67 202.11 21.5.85 231.05 4.06 3.83 3.61 3.40 3.19 6 515 5 320 4 281 3 390 2 635 5.11 4.77 4.45 4.13 3.83 29 022 22 507 17 187 12 906 9 516 246.31 261.10 277.01 294.12 313.48 90-91 91-92 92-93 93-94 94-95 2 291 1 724 1 267 909 636 567 457 358 273 202 247.59 265.04 282.82 300.44 317.60 3.00 2.83 2.67 2.52 2.39 2 008 1 495 1 088 772 535 3.54 3.27 3.04 2.83 2.65 6 881 4 873 3 378 2 290 1 518 333.33 353.36 374.53 396.83 418.41 95-96 96-97 97-98 98-99 99-100 434 289 188 119 73 145 101 69 46 29 334.23 350.48 366.82 383.80 401.79 2.27 2.15 2.05 1.94 1.84 361 238 153 96 58 2.49 2.35 2.23 2.11 1.99 983 622 384 231 135 440.53 465.12 487.80 515.46 543.48 100-101 101-102 102-103 103-104 104-105 44 25 14 8 4 19 11 6 4 2 420.99 441.52 463.45 486.68 511.19 1.74 1.65 1.55 1.46 1.37 35 20 11 6 3 1.88, 1.76 1.66 1.55 1.46 77 42 22 11 5 574.71 606.06 645.16 684.93 729.93 105-106 106-107 2 1 1 1 537.06 565.19 1.29 1.21 1 1 1.36 1.27 2 1 775.19 826.45 76 UNITED STATES LIFE TABLES. TABLE 13 LIFE TABLE FOR NEGRO MALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (189,365), AND ON THE Mote.— The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on STATIONARY MALE POPULATION, Rate of Complete Expectation, of Life. ■ Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Males Born Alive : Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OP VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of Number alive at beginning of age interval. Number dying in age interval Average length Including only Population per death in age interval. Sum of numbers Average annual death rate per lifetime Number dying in age interval. among 1,000 of life remaining those in current in column 6 in cur- thousand of pop- between two exact ages. alive at begin- ning of age interval. to each one alive at beginning of age interval. month or year of age. rent and all older age intervals. ulation in cur- rent and all older age intervals. x to x-\-l h 4 1000?^ e x ~L X L x /rf x T* lOOOZz/Tz 1 2 3 4 S 6 7 8 9 INFA NT MORTALI TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. Per month. Annual rate. 0-1 100 000 7 824 78.24 32.54 7 844 12.00 3 253 580 30.73 1-2 92 176 2 552 27.69 35.21 7 575 35.64 3 245 736 28.40 2-3 89 624 2 328 25.98 36.13 7 372 38.04 3 238 161 27.68 3-4 87 296 2 137 24.48 37.01 7 186 40.32 3 230 789 27.02 4-5 85 159 1 946 22.84 37.85 7 016 43.32 3 223 603 26.42 5-6 83 213 1 7.52 21.07 38.65 6 861 47.04 3 216 587 25.87 6-7 81 461 1 567 19.23 39.40 6 723 51.48 3 209 726 25.38 7-8 79 894 1 374 17.20 40.09 6 601 57.60 3 203 003 24.94 8-9 78 520 1 194 15.20 40.71 6 494 65.28 3 196 402 24.56 9-10 77 326 1 019 13.18 41.25 6 401 75.36 3 189 908 24.24 10-11 76 307 871 11.42 41.72 6 323 87.12 3 183 507 23.97 11 12 75 436 762 10.09 42.12 6 255 98.52 3 177 184 23.74 LIF E TABLE FO R WHOLE RA VTGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 25 326 253.26 32.54 82 651 3.26 3 253 580 30.73 1-2 74 674 5 772 77.31 42.46 71 268 12.35 3 170 929 23.55 2-3 68 902 2 361 34.26 44.99 67 650 28.65 3 099 661 22.23 3-4 66 841 1 216 18.28 45.57 65 908 54.20 3 032 Oil 21.94 4-5 65 325 940 14.39 45.41 64 836 68.97 2 966 103 22.02 5-6 64 385 700 10.87 45.06 64 035 91.48 2 901 267 22.19 6-7 63 685 591 9.29 44.55 63 389 107.26 2 837 232 22.45 7-8 63 094 509 8.05 43.96 62 840 123.46 2 773 843 22.75 8 9 62 585 447 7.15 43.32 62 362 139.51 2 711 003 23.08 9-10 62 138 408 6.56 42.63 61 934 151.80 2 648 641 23.46 10-11 61 730 387 6.28 41.90 61 536 159.01 2 586 707 23.87 11-12 61 343 386 6.29 41.16 61 150 158.42 2 525 171 24.30 12-13 60 957 400 6.55 40.42 60 757 151.89 2 464 021 24.74 13 14 60 557 426 7.05 39.69 60 314 141.65 2 403 264 25.20 14-15 60 131 464 7.71 38.96 59 899 129.09 2 312 920 25.67 15-16 59 667 508 8.51 38.26 59 413 116.95 2 283 021 26.14 16 17 59 159 553 9.36 37.59 l 58 883 106.48 2 223 608 26.60 17-18 5S 606 595 10.14 36.94 58 308 98.00 2 164 725 27.07 18-19 58 Oil 626 10.79 36.31 57 698 92.17 2 106 417 27.54 19 20 57 385 652 11.37 35.70 57 059 87.51 2 048 719 28.01 20-21 56 733 675 11.89 35.11 56 396 83.55 1 991 660 28.48 21-22 56 058 687 12.27 34.52 55 711 81.10 1 935 264 28.97 22-23 55 371 694 12.53 33.94 55 024 79.29 1 879 550 29.46 23-24 54 677 696 12.72 33.37 54 329 78.06 1 824 526 29.97 2 1-25 53 981 696 12.89 32.79 53 633 77.06 1 770 197 30.50 25-26 53 285 696 13.07 32.21 52 937 76.06 1 716 564 31.05 26-27 52 589 693 13.18 31.63 52 243 75.39 1 663 627 31.62 27-28 51 896 686 13.22 31.05 51 553 75.15 1 611 384 32.21 28-29 51 210 676 13.21 30.46 50 872 75.25 1 559 831 32.83 29-30 50 534 667 13.20 29.86 50 200 75.26 1 508 959 33.49 30-31 49 867 657 13.17 29.25 49 539 75.40 1 458 759 34.19 31-32 49 210 652 13.26 28.64 48 884 74.98 1 409 220 34.92 32-33 48 558 659 13.58 28.01 48 228 73.18 1 360 336 35.70 33-34 47 899 673 14.04 27.39 47 562 70.67 1 312 108 36.51 34-35 47 226 685 14.51 26.78 46 883 68.44 1 264 546 37.34 35-36 16 541 701 15.05 26.16 46 190 65.89 1 217 663 38.23 36-37 15 840 711 15.51 25.56 45 485 63.97 1 171 473 39.12 37-38 45 129 714 15.82 24.95 44 772 62.71 1 125 988 40.08 38-39 14 415 713 16.05 24.34 44 059 61.7!) 1 081 216 41.08 39-40 43 702 713 16.33 23.73 13 346 60.79 1 037 157 42.14 40-41 12 989 713 16.58 23.12 42 633 59.79 993 811 13.25 41-42 42 276 720 17.03 22.50 41 916 58.22 951 178 14.44 42-43 41 556 741 17.84 21.88 41 186 55.58 909 262 15.70 43-44 40 815 774 18.97 21.27 40 428 52.23 868 076 17.01 11-45 40 041 811 20.25 20.67 39 635 48.87 827 648 48.38 UNITED STATES LIFE TABLES. ORIGINAL REGISTRATION STATES: 1901. REPORTED DEATHS IN 1900 (4,972), IN 1901 (5,030), AND IN 1902 (4,986). 77 TABLE 13 Michigan, and the District of Columbia. An explanation of each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. STATIONARY MALE POPULATION, AGE INTERVAL. Op 100,000 Males Boen Rate of Mortality Complete Expectation Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, ! would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. or Life. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column (> in cur- rent and nil older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. W00l x /Tx x to x+1 f'X dx 1000g x e x ~L X T-*x/dx % 1 2 3 4 5 6 7 8 9 LIFE TABLE FOE, WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 46-47 47-48 48-49 49-50 39 230 38 373 37 477 36 568 35 665 857 896 909 903 899 21.85 23.34 24.25 24.70 25.20 20.09 19.52 18.98 18.44 17.89 38 801 37 925 37 023 36 117 35 216 45.28 42.33 40.73 40.00 39.17 788 013 749 212 711 287 674 264 638 147 49.78 51.23 52.69 54.23 55.90 50-51 51-52 52-53 53-54 54-55 34 766 33 879 32 985 32 052 31 053 887 894 933 999 1 066 25.53 26.38 28.29 31.17 34.33 17.34 16.78 16.22 15.68 15.17 34 323 33 432 32 519 31 552 30 520 38.70 37.40 34.85 31.58 28.63 602 931 568 608 535 176 502 657 471 105 57.67 59.59 61.65 63.78 65.92 55-56 56-57 57-58 58-59 59-60 29 987 28 842 27 643 26 449 25 301 1 145 1 199 1 194 1 148 1 107 38.18 41.57 43.21 43.38 43.77 14.69 14.26 13.85 13.46 13.04 29 414 28 242 27 046 25 875 24 747 25.69 23.55 22.65 22.54 22.36 440 585 411 171 382 929 355 883 330 008 68.07 70.13 72.20 74.29 76.69 60-61 61-62 62-63 63-64 64-65 24 194 23 130 22 098 21 076 20 047 1 064 1 032 1 022 1 029 1 032 43.98 44.58 46.24 48.86 51.45 12.62 12.17 11.72 11.26 10.82 23 662 22 614 21 587 20 562 19 531 22.24 21.91 21.12 19.98 18.93 305 261 281 599 258 985 237 398 216 836 79.24 82.17 85.32 88.81 92.12 65-66 66-67 67-68 68-69 69-70 19 015 17 985 16 952 15 913 14 872 1 030 1 033 1 039 1 041 1 043 54.18 57.45 61.26 65.46 70.10 10.38 9.94 9.52 9.11 8.71 18 500 17 468 16 433 15 393 14 351 17.96 16.91 15.82 14.79 13.76 197 305 178 805 161 337 144 904 129 511 96.34 100.60 105.04 109.77 114.81 70-71 71-72 72-13 73-74 74-75 13 829 12 788 11 761 10 764 9 808 1 041 1 027 997 956 916 75.32 80.32 84.71 88.80 93.43 8.33 7.96 7.62 7.28 6.94 13 309 12 274 11 262 10 286 9 350 12.78 11.95 11.30 10.76 10.21 115 160 101 851 89 577 78 315 68 029 120.05 125.63 131.23 137.36 144.09 75-76 76-77 77-78 78-79 79-80 8 892 8 007 7 155 6 338 5 562 885 852 817 776 731 99.51 106.41 114.15 122.54 131.41 6.60 6.27 5.96 5.66 5.38 8 450 7 581 6 747 5 950 5 196 9.55 8.90 8.26 7.67 7.11 58 679 50 229 42 648 35 901 29 951 151.52 159.49 167.79 176.68 185.87 80 81 81-82 82-83 83-84 84-85 4 831 4 152 3 530 2 969 2 469 679 622 561 500 439 140.53 149.78 159.08 168.42 177.82 5.12 4.88 4.65 4.44 4.24 4 491 3 841 ! 3 249 2 719 2 249 6.62 6.18 5.79 5.44 5.12 24 755 20 264 16 423 13 174 10 455 195.31 204.92 215.05 225.23 235.85 85-86 86-87 87-88 88-89 89-90 2 030 1 649 1 324 1 049 821 381 325 275 228 187 187.43 197.26 207.34 217.64 228.23 4.04 3.86 3.69 3.52 3.36 i 1 839 1 487 1 187 935 727 4.84 4.57 4.32 4.09 3.88 8 206 6 367 4 880 3 693 2 758 •247.52 259.07 271.00 284.09 297.62 90-91 91-92 92-93 93-94 94-95 634 482 361 266 193 152 121 95 73 56 239.16 250.57 262.57 275.30 288.84 3.21 3.06 2.91 2.77 2.63 558 422 314 230 165 3.68 3.49 3.31 3.13 2.96 2 031 1 473 1 051 737 507 311.53 326.80 343.64 361.01 380.23 95-96 96-97 97-98 98-99 99-100 137 96 65 43 28 41 31 22 15 10 303.30 318.55 334.71 351.88 370.13 2.50 2.37 2.25 2.13 2.01 116 80 54 36 23 2.80 2.64 2.49 2.34 2.20 342 226 146 92 56 400.00 421.94 444.44 469.48 497.51 100-101 101-102 102-103 103-104 104-105 18 11 6 4 2 7 5 2 2 1 389.55 410.24 432.32 455.93 481.22 1.89 1.78 1.68 1.57 1.47 14 9 5 3 1 2.07 1.94 1.81 1.69 1.58 33 19 10 5 2 529.10 561.80 595.24 636.94 680.27 105-106 1 1 508.37 1.38 1 1.47 1 724.64 i 78 TABLE 14 UNITED STATES LIFE TABLES. LIFE TABLE FOR NEGRO MALES IN THE BASED ON THE ESTIMATED MEAN POPULATION FOR THE 10-YEAR PERIOD, 1901 TO 1910 (206,061), AND ON THE 1907 (5,903), IN 1908 (5,560), IN Note— The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on AGE INTERVAL Period of lifetime between two exact ages. x to x+ 1 Of 100,000 Males Born Alive: Number alive at beginning of age interval. Number dying in age interval. Bate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. lOOOgz Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. ex STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which. Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. Population per death in age interval. Tujd x POPULATION IN CUE- RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per ' thousand of pop> ulation in cur- rent and all older age intervals loooyT^ INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 00 OOO 91 884 89 607 87 584 85 738 84 049 82 500 HI 092 79 881 78 680 77 656 76 788 116 277 023 846 689 549 408 271 141 024 928 869 Monthly rate. In years 81.16 32.57 24.78 35.36 22.57 36.17 21.08 36.92 19.71 37.63 18.42 38.31 17.07 38.94 15.67 39.53 14.30 40.08 13.01 40.58 11.96 41.03 11.32 41.44 826 562 383 222 074 6 940 6 816 6 705 6 604 6 514 6 433 6 358 Per month. 11.52 39.84 43.80 46.92 50.28 53.76 58.08 63.36 69.48 76.32 83.16 87.84 3 256 596 3 248 770 3 241 208 3 233 825 3 226 603 3 219 529 3 212 589 3 205 773 3 199 068 3 192 464 3 185 950 3 179 517 Annual rate. 30.70 28.28 27.65 27.09 26.57 26.10 25.68 25.30 24.95 24.64 24.37 24.13 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32" 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 00 000 75 859 70 210 67 854 66 566 65 716 65 078 64 534 64 064 63 646 63 261 62 891 62 519 62 129 61 707 fil 245 60 736 60 175 59 559 .58 898 58 198 57 464 56 712 55 958 55 212 54 472 53 739 53 010 52 281 51 546 50 805 50 059 49 302 48 530 47 742 46 938 46 118 45 288 44 461 43 644 42 836 42 037 41 239 40 428 39 591 Annual rate. 4 141 241.41 5 649 74.47 2 356 33.55 1 288 18.99 850 12.76 638 9.72 544 8.35 470 7.29 418 6.52 385 6.05 370 5.85 372 5.92 390 6.24 422 6.79 462 7.49 509 8.31 561 9.25 616 10.23 661 11.10 700 11.88 734 12.61 752 13.09 754 13.29 746 13.34 740 13.41 733 13.46 729 13.56 729 13.76 735 14.06 741 14.37 746 14.69 757 15.12 772 15.66 788 16.24 804 16.84 820 17.49 830 17.99 827 18.25 817 18.38 808 18.53 799 18.66 798 18.98 811 19.66 837 20.69 865 21.86 In years. 32.57 41.83 44.16 44.68 44.53 44.10 43.53 42.89 42.21 41.48 40.73 39.97 39.20 38.44 37.70 36.98 36.29 35.62 34.99 34.37 33.78 33.21 32.64 32.07 31.50 30.92 30.34 29.75 29.15 28.56 27.97 27.38 26.79 26.21 25.64 25.07 24.50 23.94 23.38 22.81 22.23 21.64 21.05 20.46 19.88 83 437 72 526 68 961 67 184 66 124 65 397 64 806 64 299 63 855 63 454 63 076 62 705 62 324 61 918 61 476 60 991 6(( 455 59 867 59 228 58 548 57 831 57 088 56 335 55 585 51 842 54 105 53 374 52 645 51 913 51 175 50 432 49 681 48 916 ■18 136 47 340 16 528 45 703 44 875 44 053 43 240 12 436 41 638 40 833 40 010 39 159 Per year. 3.46 12.84 29.27 52.16 77.79 102.50 119.13 136.81 152.76 164.82 170.48 168.56 159.81 146.73 133.06 119.83 107.76 97.19 89.60 83.64 78.79 75.91 74.71 74.51 74.11 73.81 73.22 72.23 70.63 69.06 67.60 65.63 63.36 61.09 58.88 56.74 55.06 54.26 53.92 53.51 53.11 52.18 50.35 47.80 15.27 Annual rate 3 256 596 30.70 3 173 159 23.91 3 100 633 22.64 3 031 672 22.38 2 964 488 22.46 2 898 364 22.68 2 832 967 22.97 2 768 161 23.32 2 703 862 23.69 2 640 007 21.11 2 576 553 24.55 2 513 477 25.02 2 450 772 25.51 2 388 448 26.01 2 326 530 26.53 2 265 054 27.04 2 204 063 27.56 2 143 608 28.07 2 083 741 28.58 2 024 513 29.10 1 965 965 29.60 1 908 134 30.11 1 851 046 30.64 1 794 711 31.18 1 739 126 31.75 1 684 284 32.34 1 630 179 32.96 1 576 805 33.61 1 524 160 34.31 1 472 247 35.01 1 421 072 35.75 1 370 640 36.52 1 320 959 37.33 1 272 043 38.15 1 223 907 39.00 1 176 567 39.89 1 130 039 40.82 1 084 336 41.77 1 039 461 42.77 995 408 43.84 952 168 44.98 909 732 46.21 868 094 47.51 827 261 48.88 787 251 50.30 UNITED STATES LIFE TABLES. ORIGINAL REGISTRATION STATES: 1901 TO 1910. 79 TABLE 14 REPORTED DEATHS IN 1901 (5,030), IN 1902 (4,986), IN 1903 (5,231), IN 1904 (5,729), IN 1905 (5,700), IN 1906 (5,734), IN 1909 (5,531), AND IN 1910 (6,052). Michigan, and the District of Columbia. An explanation of each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. STATIONARY MALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AttD ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to 1+1 lx d x 1000 ?x o e x ~L X W^a: T x ioooyT x 1 2 S 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 38 726 902 23.30 19.32 38 275 42.43 748 092 51.76 46-47 37 824 937 24.77 18.77 37 355 39.87 709 817 53.28 47-48 36 887 955 25.88 18.23 36 410 38.13 672 462 54.85 48-49 35 932 957 26.64 17.70 35 454 37.05 636 052 56.50 49-50 34 975 959 27.44 17.17 34 495 35.97 600 598 58.24 50-51 34 016 958 28.15 16.64 33 537 35.01 566 103 60.10 51-52 33 058 961 29.08 16.11 32 577 33.90 532 566 62.07 52-53 32 097 981 30.57 15.58 31 606 32.22 499 989 64.18 53-54 31 116 1 017 32.66 15.05 30 607 30.10 468 383 66.45 54-55 30 099 1 054 35.02 14.54 29 572 28.06 437 776 68.78 55-56 29 045 1 099 37.86 14.05 28 495 25.93 408 204 71.17 56-57 27 946 1 141 40.83 13.59 27 375 23.99 379 709 73.58 57-58 26 805 1 159 43.23 13.14 26 225 22.63 352 334 76.10 58-59 25 646 1 156 45.06 12.72 25 068 21.69 326 109 78.62 59-60 24 490 1 152 47.07 12.29 23 914 20.76 301 041 81.37 60-61 23 338 1 144 49.02 11.87 22 766 19.90 277 127 84.25 61-62 22 194 1 140 51.37 11.46 21 624 18.97 254 361 87.26 62-63 21 054 1 150 54.62 11.05 20 479 17.81 232 737 90.50 63-64 19 904 1 167 58.63 10.66 19 320 16.56 212 258 93.81 64-65 18 737 1 176 62.76 10.30 18 149 15.43 192 938 97.09 65-66 17 561 1157 65.88 9.95 16 982 14.68 174 789 100.50 66-67 16 404 1 125 68.58 9.62 15 841 14.08 157 807 103.95 67-68 15 279 1 083 70.85 9.29 14 738 13.61 141 966 107.64 68-69 14 196 1 034 72.90 8.96 13 679 13.23 127 228 111.61 69-70 13 162 989 75.08 8.63 12 667 12.81 113 549 115.87 70-71 12 173 947 77.84 8.29 11 700 12.35 100 882 120.63 71-72 11 226 915 81.50 7.94 10 768 11.77 89 182 125.94 72-73 10 311 889 86.24 7.60 9 866 11.10 78 414 131.58 73-74 9 422 867 91.98 7.28 8 988 10.37 68 548 137.36 74-75 8 555 842 98.42 6.96 8 134 9.66 59 560 143.68 75-76 7 713 811 105.18 6.67 7 307 9.01 51 426 149.93 76-77 6 902 772 111.89 6.39 6 516 8.44 44 119 156.49 77-78 6 130 726 118.32 6.13 5 767 7.94 37 603 163.13 78-79 5 404 672 124.36 5.89 5 068 7.54 31 836 169.78 79-80 4 732 615 130.11 5.66 4 424 ,7.19 26 768 176.68 80-81 4 117 559 135.72 5.43 3 837 6.87 22 344 184.16 81-82 3 558 503 141.43 5.20 3 306 6.57 18 507 192.31 82-83 3 055 451 147.44 4.98 2 829 6.28 15 201 200.80 83-84 2 604 401 153.95 4.75 2 404 6.00 12 372 210.53 84-85 2 203 355 161.14 4.52 2 026 5.71 9 968 221.24 85-86 1 848 312 169.23 4.30 1 692 5.41 7 942 232.56 86-87 1 536 274 178.40 4.07 1 399 5.11 6 250 245.70 87-88 1 262 239 188.84 3.85 1 142 4.80 4 851 259.74 88-89 1 023 205 200.67 3.62 921 4.48 3 709 276.24 89-90 818 175 213.97 3.41 730 4.17 2 788 293.26 90-91 643 147 228.69 3.20 569 3.87 2 058 312.50 91-92 496 121 244.71 3.00 435 3.59 1 489 333.33 92-93 375 99 261.92 2.81 326 3.32 1 054 355.87 93-94 276 77 280.22 2.63 238 3.07 728 380.23 94-95 199 60 299.59 2.46 169 2.84 490 406.50 95-96 139 44 320.05 2.30 117 2.62 321 434.78 96-97 95 33 341.66 2.15 79 2.43 204 465.12 97-98 62 22 364.52 2.01 51 2.24 125 497.51 98-99 40 16 388.71 1.87 32 2.07 74 534.76 99-100 24 10 414.27 1.74 19 1.91 42 574.71 100-101 14 6 441.24 1.62 11 1.77 23 617.28 101-102 8 4 469.67 1.51 6 1.63 12 662.25 102-103 4 2 499.60 1.40 3 1.50 6 714.29 103-104 2 1 531.06 1.30 2 1.38 3 769.23 104-105 1 1 564.06 1.20 1 1.27 1 833.33 80 UNITED STATES LIFE TABLES. TABLE 15 LIFE TABLE FOR NEGRO MALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (223,884), AND ON THE Note. — The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on STATIONARY MALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, AGE INTERVAL Of 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- n]] . ATH RAT1r KENT AND ALL OLDER per THOUSAND AGE INTERVALS. PEE TH0USAND - Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older interval. age intervals. x to x+1 I'X dx 1000g x e x L* L'x/dx Tx loooyTs 1 2 3 4 5 6 7 8 9 INF.' iNT MORTAL [TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. ' Per month. Annual rate. 0-1 100 000 7 370 73.70 34.05 7 873 12.84 3 405 206 29.37 1-2 92 630 1 977 21.35 36.68 7 637 46.32 3 397 333 27.26 2-3 90 653 1 831 20.19 37.39 7 478 48.96 3 389 696 26.75 3-4 88 822 1 695 19.09 38.08 7 331 51.96 3 382 218 26.26 4-5 87 127 1 561 17.91 38.74 7 196 55.32 3 374 887 25.81 5-6 85 566 1 425 16.66 39.36 7 071 59.52 3 367 691 25.41 6-7 84 141 1 290 15.33 39.94 6 958 64.68 3 360 620 25.04 7-8 82 851 1 153 13.93 40.48 6 856 71.40 3 353 662 24.70 8-9 81 698 1 037 12.69 40.97 6 765 78.24 3 346 806 24.41 9-10 80 661 937 11.62 41.41 6 683 85.56 3 340 041 24.15 10-11 79 724 887 10.75 41.81 6 608 92.52 3 333 358 23.92 11-12 78 867 802 10.16 42.18 6 539 97.80 3 326 750 23.71 LIF E TABLE FO R WHOLE RA NTGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 21 935 219.35 34.05 84 995 3.87 3 405 206 29.37 1-2 78 065 5 216 66.82 42.53 74 988 14.38 3 320 211 23.51 2-3 72 849 2 341 32.14 44.55 71 608 30.59 3 245 223 22.45 3-4 70 508 1 197 16.97 45.01 69 885 58.38 4-5 69 311 722 10.42 44.78 68 936 95.48 3 103 730 22.33 5-6 68 589 587 8.56 44.25 68 295 116.35 3 034 794 22.60 6-7 68 002 492 7.22 43.62 67 756 137.72 2 966 499 22.93 7-8 67 510 420 6.22 42.94 67 300 160.24 2 898 743 23.29 8-9 67 090 371 5.53 42.20 66 905 180.34 2 831 443 23.70 9-10 66 719 342 5.14 41.44 66 548 194.58 2 764 538 24.13 10-11 66 377 334 5.02 40.65 66 210 198.23 2 697 990 24.60 11-12 66 043 342 5.18 39.85 65 872 192.61 2 631 780 25.09 12-13 65 701 366 5.58 39.05 65 518 179.01 2 565 908 25.61 13-14 65 335 405 6.19 38.27 65 133 160.82 2 500 390 26.13 14-15 64 930 452 6.97 37.51 64 704 143.15 2 435 257 26.66 15-16 64 478 508 7.87 36.77 64 224 126.43 2 370 553 27.20 16-17 63 970 565 8.84 36.05 63 687 112.72 2 306 329 27.74 17-18 63 405 619 9.75 35.37 63 095 101.93 2 242 642 28.27 18-19 62 786 661 10.53 34.71 62 456 94.49 2 179 547 38.81 19-20 62 125 699 . 11.26 34.08 61 775 88.38 2 117 091 29.34 20-21 61 426 735 11.96 33.46 61 059 83.07 2 055 316 29.89 21-22 60 691 751 12.39 32.86 60 315 80.31 1 994 257 30.43 22-23 59 940 748 12.47 32.26 59 566 79.63 1 933 942 31.00 23-24 59 192 734 12.39 31.67 58 825 80.14 1 874 376 31.58 24-25 58 458 722 12.35 31.06 58 097 80.47 1 815 551 32.20 25-26 57 736 709 12.28 30.44 57 382 80.93 1 757 454 32.85 26-27 57 027 706 12.10 29.81 56 674 80.27 1 700 072 33.55 27-28 56 321 722 12. H2 29.18 55 960 77.51 1 643 398 31.27 28-29 55 599 750 13.48 28.55 55 224 73.63 1 587 438 35.03 29-30 54 849 776 14.16 27.94 54 461 70.18 1 532 214 35.79 30-31 54 073 809 14.96 27.33 53 668 66.34 1 477 753 36.59 31-32 53 264 837 15.71 26.74 52 845 63.14 1 424 085 37.40 32-33 52 427 850 16.22 26.16 52 002 61.18 1 371 240 38.23 33-34 51 577 854 16.55 25.58 51 150 59.89 1 319 238 39.09 34-35 50 723 858 16.92 25.00 50 294 58.62 1 268 088 40.00 35-36 49 865 862 17.28 24.42 49 434 57.35 1 217 794 40.95 36-37 49 003 868 17.73 23.84 48 569 55.96 1 168 360 41.95 37-38 48 135 885 18.38 23.26 47 692 53.89 1 119 791 42.99 38-39 47 250 907 19.19 22.69 46 797 51.60 1 072 099 44.07 39-40 46 343 929 20.05 22.12 45 878 49.38 1 025 302 45.21 40-41 45 414 955 21.03 21.57 44 936 17.05 979 424 46.36 41-42 44 459 973 21.89 21.02 43 972 45.19 934 488 47.57 12-43 43 486 977 22.47 20.48 42 997 44.01 890 516 48.83 43-44 12 509 973 22.89 19.94 42 022 43.19 847 519 50.15 44-45 41 536 973 23.42 19.39 41 049 42.19 805 497 51.57 UNITED STATES LIFE TABLES. 81 ORIGINAL REGISTRATION STATES: 1910. TABLE 15 REPORTED DEATHS IN 1909 (5,531), IN 1910 (6,052), AND IN 1911 (5,888). Michigan, and the District ol Columbia An explanation of each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. STATIONARY MALE POPULATION, AGE INTERVAL. Of 100,000 Males Born Alive: Rate of Mortality per Thousand. Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION IN CUREENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUE- KENT AND ALL OLDEE AGE INTERVALS. DEATH BATE PEE THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1.000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to x+1 *% d x W00q x o e x ~L X Lj/dj T x lOOOk/Tj; 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALE OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 46-47 47-48 48-49 49-50 40 563 39 590 38 602 37 579 36 518 973 988 1 023 1 061 1 091 23.99 24.96 26.49 28.24 29.86 18.85 18.30 17.75 17.22 16.71 40 076 39 096 38 090 37 048 35 972 41.19 39.57 37.23 34.92 32.97 764 448 724 372 685 276 647 186 610 138 53.05 54.64 56.34 58.07 59.84 50-51 51-52 52-53 53-54 54-55 35 427 34 314 33 188 32 055 30 911 1 113 1 126 1 133 1 144 1 157 31.42 32.81 34.16 35.68 37.43 16.21 15.72 15.23 14.75 14.28 34 871 33 751 32 622 31 483 30 333 31.33 29.97 28.79 27.52 26.22 574 166 539 295 505 544 472 922 441 439 61.69 63.61 65.66 67.80 70.03 55-56 56-57 57-58 58-59 59-60 29 754 28 579 27 383 26 173 24 962 1 175 1 196 1 210 1 211 1 212 39.50 41.85 44.17 46.30 48.53 13.82 13.36 12.93 12.50 12.08 29 167 27 981 26 778 25 567 24 356 24.82 23.40 22.13 21.11 20.10 411 106 381 939 353 958 327 180 301 613 72.36 74.85 77.34 80.00 82.78 60-61 61-62 62-63 63-64 64-65 23 750 22 544 21 346 20 156 18 974 1 206 1 198 1 190 1 182 1 168 50.79 53.14 55.76 58.65 61.52 11.67 11.27 10.88 10.49 10.11 23 147 21 945 20 751 19 565 18 390 19.19 18.32 17.44 16.55 15.74 277 257 254 110 232 165 211 414 191 849 85.69 88.73 91.91 95.33 98.91 65-66 66-67 67-68 68-69 69-70 17 806 16 661 15 538 14 436 13 354 1 145 1 123 1 102 1 082 1 059 64.33 67.40 70.93 74.96 79.27 9.74 9.38 9.02 8.67 8.33 17 234 16 099 14 987 13 895 12 824 15.05 14.34 13.60 12.84 12.11 173 459 156 225 140 126 125 139 111 244 102.67 106.61 110.86 115.34 120.05 70-71 71-72 72-73 73-74 74-75 1 12 295 11 263 10 261 9 297 8 375 1 032 1 002 964 922 881 83.98 88.92 93.94 99.17 105.27 8.00 7.69 7.39 7.11 6.84 11 779 10 762 9 779 8 836 7 934 11.41 10.74 10.14 9.58 9.01 98 420 86 641 75 879 66 100 57 264 125.00 130.04 135.32 140.65 146.20 75-76 76-77 77-78 78-79 79-80 7 494 6 648 5 851 5 121 4 470 846 797 730 651 576 112.77 119.97 124.82 127.14 128.82 6.58 6.36 6.15 5.96 5.76 7 071 6 250 5 486 4 795 4 182 8.36 7.84 7.52 7.37 7.26 49 330 42 259 36 009 30 523 2.5 728 151.98 157.23 162.60 167.79 173.61 80-81 81-82 82-83 83-84 84-85 3 894 3 383 2 917 2 491 2 101 511 466 426 390 354 131.27 137.57 146.08 156.61 168.31 5.53 5.29 5.06 4.84 4.64 3 638 3 150 2 704 2 296 1 924 7.12 6.77 6.35 5.89 5.44 21 546 17 908 14 758 12 054 9 758 180.83 189.04 197.63 206.61 215.52 85-86 86-87 87-88 88-89 89-90 1 747 1 433 1 161 933 746 314 272 22S 187 151 179.82 189.67 196.74 200.57 201.59 4.48 4.36 4.26 4.18 4.10 1 590 1 297 1 047 839 671 5.06 4.77 4.58 4.49 4.46 7 834 6 244 4 947 3 900 3 061 223.21 229.36 234.74 239.23 243.90 90-91 91-92 92-93 93-94 94-95 595 476 380 304 241 119 96 76 63 52 201.01 200.52 201.86 206.44 215.03 4.01 3.89 3.75 3.57 3.37 536 428 342 272 215 4.47 4.49 4.45 4.34 4.15 2 390 1 854 1 426 1 084 812 249.38 257.07 266.67 280.11 296.74 95-96 i 96-97 97-98 98-99 99-100 189 146 110 81 58 43 36 29 23 18 227.76 244.29 263.98 286.16 310.34 3.15 2.93 2.72 2.51 2.32 168 128 96 70 49 3.89 3.59 3.29 2.99 2.72 597 429 301 205 135 317.46 341.30 367.65 398.41 431.03 100-101 101-102 102-103 103-104 104-105 40 27 17 10 6 13 10 7 4 3 336.29 363.98 393.51 425.09 458.83 2.14 1.97 1.81 1.66 1.53 33 22 14 8 5 2.47 2.25 2.04 1.85 1.68 86 53 31 17 9 467.29 507.61 552.49 602.41 653.59 105-106 106-107 107-108 3 2 1 1 1 1 495.02 533.75 575.15 1.40 1.27 1.16 i l 1.52 1.37 1.24 4 2 1 714.29 787.40 862.07 150822°— 21- UNITED STATES LIFE TABLES. LIFE TABLE FOR NEGRO FEMALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (206,944), AND ON THE Note.— The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on 82 TABLE 16 STATIONARY FEMALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which. Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION JN CURRENT AGE MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER DEATH RATE PER THOUSAND. INTERVAL. AGE INTERVALS. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x-\-l h dx lOOOrfc he T->x W^r T* loooyTs 1 2 3 4 5 6 7 8 9 INFA NT MORTALI TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. 1 In years. - Per month. Annual rate. 0-1 100 000 6 072 60.72 35.04 7 954 15.72 3 504 421 28.54 1-2 93 928 2 108 22.44 37.22 7 740 44.04 3 496 467 26.87 2-3 91 820 1 933 21.05 38.00 7 571 47.04 3 488 727 26.32 3-4 89 887 1 777 19.77 38.73 7 417 50.04 3 481 156 25.82 4-5 88 110 1 635 18.55 39.43 7 274 53.40 3 473 739 25.36 5-6 86 475 1 492 17.25 40.09 7 144 57.48 3 466 465 24.94 6-7 84 983 1 355 15.95 40.71 7 025 62.16 3 459 321 24.56 7-8 83 628 1 232 14.73 41.28 6 918 67.44 3 452 296 24.22 8-9 82 396 1 107 13.45 41.81 6 820 73.92 3 445 378 23.92 9-10 81 289 1 004 12.35 42.30 6 732 80.52 3 438 558 23.64 10-11 80 285 913 11.37 42.75 6 652 87.48 3 431 826 23.39 11-12 79 372 847 10.68 43.15 6 579 93.24 3 425 174 23.17 LIF E TABLE FO K WHOLE EA1 •TOE OF LIFE BY AI3E INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 21 475 214.75 35.04 85 826 4.00 3 504 421 28.54 1-2 78 525 5 515 70.24 43.54 75 271 13.65 3 418 595 22.97 2-3 73 010 2 578 35.30 45.79 71 644 27.79 3 343 324 21.84 3-4 70 432 1 353 19.21 46.45 69 729 51.54 3 271 680 21.53 4-5 69 079 1 023 14.82 46.35 68 547 67.01 3 201 951 21.57 5-6 68 056 718 10.54 46.04 67 697 94.29 3 133 404 21.72 6-7 67 338 630 9.36 45.53 67 023 106.39 3 065 707 21.96 7-8 66 708 567 8.50 44.95 66 425 117.15 2 998 684 22.25 8-9 66 141 525 7.95 44.33 65 879 125.48 2 932 259 22.56 9-10 65 616 505 7.70 43.68 65 363 129.43 2 866 380 22.89 10-11 65 111 503 7.72 43.02 64 859 128.94 2 801 017 23.25 11-12 64 608 515 7.97 42.35 64 351 121.95 2 736 158 23.61 12-13 64 093 538 8.39 41.69 63 824 118.63 2 671 807 23.99 13-14 63 55.5 568 8.94 41.04 63 271 111.39 2 607 983 24.37 14-15 62 987 603 9.57 40.40 62 686 103.96 2 544 712 24.75 15-16 62 384 640 10.26 39.79 62 064 96.98 2 482 026 25.13 16-17 61 744 667 10.80 39.19 61 411 92.07 2 419 962 25.52 17-18 61 077 676 11.08 38.62 60 739 89.85 2 358 551 25.89 18-19 60 401 675 11.17 38.04 60 064 88.98 2 297 812 26.29 19-20 59 726 673 11.28 37.47 59 390 88.25 2 237 748 26.69 20-21 59 053 673 11.39 36.89 58 717 87.25 2 178 358 27.11 21-22 58 380 666 11.42 36.31 58 047 87.16 2 119 641 27.51 22-23 57 714 655 11.34 35.72 57 386 87.61 2 061 594 28.00 23-24 57 059 639 11.20 35.13 56 740 88.79 2 004 208 28.47 24-25 56 420 625 11.07 34.52 56 108 89.77 1 947 468 28.97 25-26 55 795 609 10.92 33.90 55 491 91.12 1 891 360 29.50 26-27 55 186 599 10.86 33.27 54 886 91.63 1 835 869 30.06 27-28 54 587 598 10.96 32.63 54 288 90.78 1 780 983 30.65 28-29 53 989 605 11.19 31.98 53 687 88.74 1 726 695 31.27 29-30 53 384 611 11.46 31.34 53 079 86.87 1 673 008 31.91 30-31 52 773 623 11.80 30.70 52 461 84.21 1 619 929 32.57 31-32 52 150 636 12.19 30.06 51 832 81.50 1 567 468 33.27 32-33 51 514 644 12.50 29.42 51 192 79.49 1 515 636 33.99 33-34 50 870 648 12.75 28.79 50 546 78.00 1 464 444 34.73 34-35 50 222 655 13.05 28.15 49 894 76.17 1 413 898 35.52 35-36 49 567 663 13.38 27.52 49 235 74.26 1 364 004 36.34 36-37 48 904 672 13.74 26.88 48 568 72.27 1 314 769 37.20 37-38 48 232 683 14.16 26.25 47 890 70.12 1 266 201 38 10 38-39 47 549 696 14.63 25.62 47 201 67.82 1 218 311 39.03 39-40 46 853 707 15.11 25.00 46 499 65.77 1 171 110 40.00 40-41 46 146 719 15.56 21.37 45 786 63.68 1 124 611 41.03 41-42 45 427 734 16.18 23.75 45 060 61.39 1 078 825 42.11 42-43 44 693 764 17.09 23.13 44 311 58.00 1 033 765 43.23 43-44 13 929 804 18.29 22.52 43 527 54.14 989 454 44.40 44-45 43 125 846 19.63 21.93 42 702 50.48 945 927 45.60 UNITED STATES LIFE TABLES. 83 ORIGINAL REGISTRATION STATES: 1901. TABLE 16 REPORTED DEATHS IN 1900 (4,982), IN 1901 (4,804), AND IN 1902 (4,732). Michigan, and the District of Columbia. An explanation of each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. STATIONARY FEMALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigral on and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x+1 h dx lOOOgz e x T-*x LzMr T« 1000l x /T x 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 42 279 901 21.30 21.36 41 828 46.42 903 225 46.82 46-47 41 378 939 22.70 20.82 40 908 43.57 861 397 48.03 47-48 40 439 942 23.28 20.29 39 968 42.43 820 489 49.29 48-49 39 497 918 23.25 19.76 39 038 42.53 780 521 50.61 49-50 38 579 898 23.28 19.22 38 130 42.46 741 483 52.03 50-51 37 681 873 23.18 18.67 37 244 42.66 703 353 53.56 51-52 36 808 865 23.50 18.10 36 375 42.05 666 109 55.25 52-53 35 943 888 24.69 17.52 35 499 39.98 629 734 57.08 53-54 35 055 937 26.74 16.95 34 587 36.91 594 235 59.00 54-55 34 118 994 29.12 16.40 33 621 33.82 559 648 60.98 55-56 33 124 1 068 32.25 15.88 32 590 30.51 526 027 62.97 56-57 32 056 1 135 35.42 15.39 31 489 27.74 493 437 64.98 57-58 30 921 1 154 37.32 14.94 30 344 26.29 461 948 66.93 58-59 29 767 1 130 37.98 14.50 29 202 25.84 431 604 68.97 59-60 28 637 1 113 38.84 14.05 28 080 25.23 402 402 71.17 60-61 27 524 1 087 39.51 13.60 26 981 24.82 374 322 73.53 61-62 26 437 1 074 40.64 13.14 25 900 24.12 347 341 76.10 62-63 25 363 1 089 42.91 12.67 24 818 22.79 321 441 78.93 63-64 24 274 1 124 46.30 12.22 23 712 21.10 296 623 81.83 64-65 23 150 1 155 49.89 11.79 22 573 19.54 272 911 84.82 65-66 21 995 1 189 54.07 11.38 21 401 18.00 250 338 87.87 66-67 20 806 1 209 58.10 11.00 20 202 16.71 228 937 90.91 67-68 19 597 1 194 60.92 10.65 19 OOO 15.91 208 735 93.90 68-69 18 403 1 152 62.61 10.31 17 827 15.47 189 735 96.99 69-70 17 251 1 111 64.44 9.97 16 695 15.03 171 908 100.30 70-71 16 140 1 066 66.00 9.62 15 607 14.64 155 213 103.95 71-72 15 074 1 026 68.07 9.26 14 561 14.19 139 606 107.99 72-73 14 048 1 004 71.49 8.90 13 546 13.49 125 045 112.36 73-74 13 044 996 76.31 8.55 12 546 12.60 111 499 116.96 74-75 12 048 982 81.53 8.21 11 557 11.77 98 953 121.80 75-76 11 066 961 86.86 7.90 10 586 11.02 87 396 126.58 76-77 10 105 923 91.38 7.60 9 643 10.45 76 810 131.58 77-78 9 182 878 95.54 7.32 8 743 9.96 67 167 136.61 78-79 8 304 825 99.37 7.04 7 892 9.57 58 424 142.05 79-80 7 479 771 103.07 6.76 7 094 9.20 SO 532 147.93 80-81 6 708 718 107.04 6.48 6 349 8.84 43 438 154.32 81-82 5 990 669 111.70 6.19 5 656 8.45 37 089 161.55 82-83 5 321 625 117.44 5.91 5 009 8.01 31 433 169.20 83-84 4 696 584 124.40 5.63 4 404 7.54 26 424 177.62 84-85 4 112 545 132.48 5.36 3 840 7.05 22 020 186.57 85-86 3 567 504 141.35 5.10 3 315 6.57 18 180 196.08 86-87 3 063 461 150.61 4.85 2 832 6.14 14 865 206.19 87-88 2 602 416 159.93 4.63 2 394 5.75 12 033 215.98 88-89 2 186 370 169.16 4.41 2 001 5.41 9 639 226.76 89-90 1 816 324 178.38 4.21 1 654 5.11 7 638 237.53 90-91 1 492 280 187.80 4.01 1 352 4.82 5 984 249.38 91-92 1 212 240 197.72 3.82 1 092 4.56 4 632 261.78 92-93 93-94 94-95 972 202 208.31 3.64 871 4.30 3 540 274.73 770 169 219.62 3.47 685 4.05 2 669 288.18 601 139 231.52 3.31 531 3.82 1 984 302.11 95-96 96-97 462 113 243.76 3.15 405 3.60 1 453 317.46 349 89 256.13 3.00 304 3.40 1 048 333.33 97-98 260 70 268.49 2.87 225 3.22 74 t 348.43 98-99 99-100 190 53 280.84 2.74 163 3.06 519 364.96 137 40 293.38 2.61 117 2.91 356 383.14 100-101 101-102 102-103 103-104 104-105 97 30 306.41 2.49 82 2.76 239 401.61 67 21 320.25 2.36 56 2.62 157 423.73 46 16 335.55 2.24 38 2.48 101 446.43 30 10 352.15 2.12 25 2.34 63 471.70 20 8 370.24 2.00 16 2.20 38 500.00 105-106 12 4 390.04 1.88 10 2.06 22 531.91 106-107 8 4 411.86 1.76 6 1.93 12 568.18 107-108 4 2 436.07 1.64 3 1.79 6 609.76 108-109 2 1 463.19 1.52 2 1.66 3 657.89 109-110 1 1 493.91 1.40 1 1.52 1 714.29 84 UNITED STATES LIFE TABLES. TABLE 17 LIFE TABLE FOR NEGRO FEMALES IN THE BASED ON THE ESTIMATED MEAN POPULATION FOR THE 10-YEAR PERIOD, 1901 TO 1910 (222,906), AND ON THE 1907 (5,413), IN 1908 (5,333), IN Note. — The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on AGE INTERVAL Period of lifetime between two exact ages. x to x-\-l Of 100,000 Females Born Alive: Number alive at beginning of age interval. Number dying in age interval Rate op Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. lOOOfe Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. e x STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. measure or VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Population per death in age interval. Lx/cij Sum of numbers in column 6 in cur- rent and all older age intervals. T* DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. loooyTz INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 TOO 000 93 583 91 648 89 864 ss 220 80 716 85 341 84 088 82 949 81 921 80 992 80 150 Monthly rate 6 417 64.17 1 935 20.68 1 784 19.47 1 644 18.29 1 504 17.05 1 375 15.85 1 253 14.69 1 139 13.54 1 028 12.40 929 11.34 842 10.39 774 9.65 In years. 35.65 38.01 38.73 39.41 40.06 40.67 41.24 41.77 42.26 42.71 43.12 43.49 932 718 563 420 289 169 7 060 6 960 6 870 6 788 6 714 6 647 Per month. 14.88 47.88 50.88 54.12 58.20 62.52 67.56 73.32 80.16 87.72 95.64 103.08 3 564 820 3 556 8H8 8 549 170 3 5+1 607 3 534 187 3 526 898 3 519 729 a 512 669 3 505 709 3 498 839 3 49-2 051 3 485 337 Annual rate. 28.05 26.31 25.82 25.37 24.96 24.59 24.25 23.94 23.66 23.41 23.19 22.99 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. -1 1 -2 2 -3 3 -4 1 -5 .1 -6 6 -7 7 -8 8 -9 9 -1(1 10 -11 1 1 -12 12 13 1.1 -14 H -15 15 -16 16 -17 17 -18 18 -19 19 -20 20 -21 21 -22 2"' ■•>;i 23 ■ 24 24 ■2.5 25 ■ 2<> 26 ■27 27 ■ 28 28 29 29 30 30 31 31 32 32 33 33 34 31 35 35- 36 36- 37 37- 38 38- 3!) 3». 40 40 41 1 1- 12 12- 43 43- 11 44- 45 100 000 79 376 74 201 71 887 70 574 69 657 68 932 68 336 67 833 67 388 66 969 66 549 66 105 65 618 63 080 64 481 63 814 63 102 62 378 61 663 fin 952 fill 246 59 547 58 853 58 165 57 485 56 812 56 145 55 481 54 816 54 150 53 481 52 805 52 125 51 439 50 748 50 051 49 346 48 627 47 891 47 137 4fi 365 45 572 41 757 43 916 Annual rate. 20 624 206.24 5 175 65.20 2 314 31.19 1 313 18.26 917 12.99 725. 10.42 596 8.64 503 7.36 445 6.56 419 6.21 420 6.27 444 6.68 487 7.36 538 8.21 599 9.21 667 10.34 712 11.17 724 11.47 715 11.47 711 11.52 706 11.58 699 11.62 694 11.65 688 11.68 680 11.70 673 11.70 667 11.74 664 11.83 665 11.98 666 12.15 669 12.37 676 12.63 680 12.89 686 13.15 691 13.43 697 13.73 705 14.10 719 14.57 736 15.13 754 15.74 772 16.39 793 17.09 815 17.89 841 18.79 871 19.84 In years. 35.65 43.83 45.85 46.31 46.17 45.77 45.24 44.63 43.96 43.25 42.52 41.78 41.06 40.36 39.69 39.05 38.46 37.88 37.32 36.75 36.17 35.59 35.00 34.41 33.81 33.20 32.59 31.97 31.35 30.72 30.09 29.46 28.83 28.20 27.57 26.94 26.31 25.68 25.05 24.43 23.81 23.20 22.59 21.99 21.41 86 130 76 323 72 974 71 204 70 097 69 294 68 634 68 084 67 611 67 179 66 759 66 327 65 862 65 349 64 780 64 148 63 4 58 62 740 62 020 (il 307 60 599 59 896 .">!> 200 58 509 57 825 57 148 56 479 55 813 55 149 54 483 53 815 53 143 52 4 65 51 782 51 094 50 400 49 698 48 986 48 259 47 514 46 751 45 969 45 165 14 337 43 481 Per year. 4.18 14.75 31.54 54.23 76.44 95.58 115.16 135.36 151.93 160.33 158.95 149.39 135.24 121.47 108.15 96.17 89.13 86.66 86.74 86.23 85.83 85.69 85.30 85.04 85.04 84.92 84.68 84.06 82.93 81.81 80.44 78.61 77.15 75.48 73,94 72.31 70.49 68.13 65.57 63.02 60.56 57.97 55.42 52.72 49.92 3 564 820 3 478 690 3 402 367 3 329 393 3 258 189 3 188 092 3 118 798 3 050 164 2 982 080 2 914 469 2 847 290 2 780 531 2 714 204 2 648 342 2 582 993 2 518 213 2 454 065 2 390 607 2 327 867 2 265 847 2 204 540 *> 143 941 2 084 045 2 024 845 1 966 336 1 908 511 1 851 363 1 794 884 1 739 071 1 683 922 1 629 439 1 575 624 1 522 481 1 470 016 1 418 234 1 367 140 1 316 740 1 267 042 1 218 056 1 169 797 1 122 283 1 075 532 1 029 563 984 398 940 061 Annual rate. 28.05 22.82 21.81 21.59 21.66 21.85 22.10 22.41 22.75 23.12 23.52 23.93 24.35 24.78 25.20 25.61 26.00 26.40 26.80 27.21 27.65 28.10 28.57 29.06 29.58 30.12 30.68 31.28 31.90 32.55 33.23 33.94 34.69 35.46 36.27 37.12 38.01 38.94 39.92 40.93 42.00 43.10 44.27 45.48 46.71 UNITED STATES LIFE TABLES. ORIGINAL REGISTRATION STATES: 1901 TO 1910. 85 TABLE 17 REPORTED DEATHS IN 1901 (4,804), IN 1902 (4,732), IN 1903 (5,042), IN 1904 (5,400), IN 1905 (5,403), IN 1906 (5,284), IN 1909 (5,025), AND IN 1910 (5,481). Michigan, and the District of Columbia. An explanation of each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. STATIONARY FEMALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigra ion and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER DEATH RATE PER THOUSAND. INTERVAL. AGE INTERVALS. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to £-1-1 lx d x lOOOffc e x Lx L x /d x T* lOOOZj/Tz 1 2 3 4 5 6 7 8 9 LIFE TATflLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 43 045 909 21.11 20.83 42 591 46.85 896 580 48.01 46-47 42 136 940 22.33 20.27 41 666 44.33 853 989 49.33 47-48 41 196 955 23.18 19.72 40 718 42.64 812 323 50.71 48-49 40 241 955 23.72 19.17 39 763 41.64 771 605 52.16 49-60 39 286 953 24.27 18.63 38 809 40.72 731 842 53.68 50-51 38 333 947 24.70 18.08 37 859 39.98 693 033 55.31 51-52 37 386 950 25.40 17.52 36 911 38.85 655 174 57.08 52-53 36 436 974 26.72 16.97 35 949 36.91 618 263 58.93 53-54 35 462 1 018 28.72 16.42 34 953 34.33 582 314 60.90 54-55 34 444 1 068 31.02 15.89 33 910 31.75 547 361 62.93 55-56 33 376 1 134 33.97 15.38 32 809 28.93 513 451 65.02 56-57 32 242 1 194 37.02 14.91 31 645 26.50 480 642 67.07 57-58 31 048 1 216 39.18 14.46 30 440 25.03 448 997 69.16 58-59 29 832 1 205 40.39 14.03 29 229 24.26 418 557 71.28 59-60 28 627 1 194 41.73 13.60 28 030 23.48 389 328 73.53 60-61 27 433 1 177 42.89 13.17 26 844 22.81 361 298 75.93 61-62 26 256 1 166 44.40 12.74 25 673 22.02 334 454 78.49 62-63 25 090 1 176 46.87 12.31 24 502 20.84 308 781 81.23 63-64 23 914 1 203 50.31 11.89 23 313 19.38 284 279 84.10 64-65 22 711 1 225 53.93 11.49 22 099 18.04 260 966 87.03 65-66 21 486 1 247 58.08 11.12 20 862 16.73 238 867 89.93 66-67 20 239 1 256 62.06 10.77 19 611 15.61 218 005 92.85 67-68 18 983 1 233 64.91 10.45 18 367 14.90 198 394 95.69 68-69 17 750 1 183 66.70 10.14 17 159 14.50 180 027 98.62 69-70 16 567 1 136 68.57 9.83 15 999 14.08 162 868 101.73 70-71 15 431 1 084 70.23 9.52 14 889 13.74 146 869 105.04 71-72 14 347 1 035 72.15 9.20 13 829 13.36 131 980 108.70 72-73 13 312 998 74.97 8.88 12 813 12.84 118 151 112.61 73-74 12 314 970 78.75 8.55 11 829 12.19 105 338 116.96 74-75 11 344 S38 82.71 8.24 10 875 11.59 93 509 121.36 75-76 10 406 901 86.60 7.94 9 955 11.05 82 634 125.94 76-77 9 505 859 90.35 7.65 9 075 10.56 72 679 130.72 77-78 8 646 815 94.19 7.36 8 239 10.11 63 604 135.87 78-79 7 831 769 98.23 7.07 7 447 9.68 55 365 141.44 79-80 7 062 724 102.61 6.79 6 700 9.25 47 918 147.28 80-81 6 338 682 107.53 6.50 5 997 8.80 41 218 153.85 81-82 5 656 640 113.09 6.23 5 336 8.34 35 221 160.51 82-83 5 016 598 119.31 5.96 4 717 7.88 29 885 167.79 83-84 4 418 557 126.11 5.70 4 139 7.43 25 168 175.44 84-85 3 861 515 133.36 5.45 3 603 7.00 21 029 183.49 85-86 3 346 471 140.88 5.21 3 110 6.60 17 426 191.91 .86-87 2 875 427 148.54 4.98 2 661 6.23 14 316 200.80 87-88 2 448 383 156.30 4.76 2 256 5.90 11 655 210.08 88-89 2 065 339 164.21 4.55 1 895 5.59 9 399 219.78 89-90 1 726 298 172.39 4.35 1 577 5.30 7 504 229.89 90-91 1 428 258 181.00 4.15 1 299 5.03 5 927 240.96 91-92 1 170 223 190.13 3.95 1 059 4.76 4 628 253.16 92-93 947 189 199.90 3.76 853 4.50 3 569 265.96 93-94 758 159 210.35 3.58 678 4.25 2 716 279.33 94-95 599 133 221.60 3.40 532 4.01 2 038 294.12 95-96 466 109 233.52 3.23 412 3.78 1 506 309.60 96-97 357 88 246.26 3.06 i 313 3.56 1 094 326.80 97-98 269 70 259.90 2.89 234 3.35 781 346.02 98-99 199 54 274.52 2.73 172 3.14 547 366.30 99-100 145 42 290.22 2.58 124 2.95 375 387.60 100-101 103 32 307.11 2.42 87 2.76 251 413.22 101-102 71 23 325.33 2.28 60 2.57 164 438.60 102-103 48 17 345.02 2.14 40 2.40 104 467.29 103-104 31 11 366.37 2.00 26 2.23 64 500.00 104-105 20 8 389.57 1.86 16 2.07 38 537.63 105-106 12 5 414.90 1.73 10 1.91 22 578.03 106-107 7 3 442.64 1.60 6 1.76 12 625.00 107-108 4 2 473.19 1.48 3 1.61 6 675.68 108-109 2 1 507.03 1.36 2 1.47 3 735.29 109-110 1 1 544.80 1.24 1 1.34 1 806.45 86 UNITED STATES LIFE TABLES. TABLE 18 LIFE TABLE FOR NEGRO FEMALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (239,814), AND ON THE Note.— The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on STATIONARY FEMALE POPULATION, Bate of Complete Expectation op Life. Unaffected by Emigration and Immigration, which, Assuming (he Mortality Rates in Column 4, AGE INTERVAL. Op 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Tear. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year 1 of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to X+l h 4 lOOO^ «i L* L^/tic Tr 1GG01 X IT X 1 2 3 4 5 6 7 8 9 INFA NT MORTALI TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. Per month. Annual rate. 0-1 100 000 6 380 63.80 37.67 7 935 14.88 3 766 879 26.55 1-2 93 620 1 746 18.66 40.15 7 729 53.16 3 758 944 24.91 2-3 91 874 1 555 16.93 40.83 7 591 58.56 3 751 215 24.49 3-4 90 319 1 394 15.44 41.45 7 468 64.32 3 743 624 24.13 4-5 88 925 1 252 14.08 42.01 7 358 70.56 3 736 156 23.80 5-6 87 673 1 134 12.94 42.53 7 259 76.80 3 728 798 23.51 6-7 86 539 1 036 11.96 43.00 7 168 83.04 3 721 539 23.26 7-8 85 503 948 11.09 43.44 7 086 89.64 3 714 371 23.02 8-9 84 555 874 10.34 43.84 7 010 96.24 3 707 285 22.81 9-10 83 681 800 9.56 44.22 6 940 104.16 3 700 275 22.61 10-11 82 881 725 8.75 44.56 6 877 113.88 3 693 335 22.44 11-12 82 156 663 8.07 44.87 6 819 123.48 3 686 458 22.29 LIF] 2 TABLE FOl I WHOLE RAJ 275 8 391 7 539 6 723 5 946 5 211 4 522 3 885 3 305 o 785 2 330 1 938 1 607 1 331 1 102 911 752 617 501 402 316 243 183 1.14 95 65 43 28 17 10 5 3 1 1 Per year. 46.58 44.56 42.74 41.20 39.81 38.66 37.34 35.45 33.08 30.72 28.30 25.91 24.30 23.30 22.28 21.43 20.58 19.52 18.29 17.18 16.07 15.14 14.52 14.17 13.83 13.53 13.19 12.71 12.08 11.51 10.93 10.31 9.66 9.04 8.42 7.86 7.31 6.81 6.37 6.00 5.71 5.51 5.38 5.33 5.31 5.30 5.26 5.16 4.96 4.69 4.36 4.01 3.67 3.35 3.06 2.80 2.56 2.34 2.14 1.94 1.76 1.59 1.44 1.29 1.16 938 791 893 332 848 860 805 395 762 954 721 548 681 184 641 868 603 618 566 469 530 468 495 670 462 136 429 912 399 014 369 443 341 194 314 258 288 634 264 331 241 360 219 731 199 445 180 482 162 796 146 329 131 024 116 822 103 676 91 549 80 408 70 217 60 942 52 551 45 012 38 289 32 343 27 132 22 610 18 725 15 420 12 635 10 305 8 367 6 760 5 429 4 327 3 416 2 664 2 047 1 546 1 144 828 585 402 268 173 108 65 37 20 111 5 2 1 Annual rate. 48.95 50.35 51.81 53.33 54.95 56.66 58.48 60.42 62.46 64.60 66.76 68.97 71.17 73.42 75.76 78.25 80.84 83.61 86.51 89.45 92.42 95.33 98.33 101.42 104.82 108.46 112.49 116.96 121.80 126.90 132.45 138.50 144.72 151.29 158.23 165.29 172.12 178.89 185.19 191.20 196.46 201.21 205.76 210.08 215.52 222.22 230.41 241.55 255.10 271.00 289.86 310.56 334.45 359.71 387.60 418.41 452.49 487.80 529.10 578.03 628.93 G89.66 757.58 833.33 925.93 88 UNITED STATES LIFE TABLES. TABLE 19 LIFE TABLE FOR NATIVE WHITE MALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (7,643,914), AND ON THE Note. — The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on STATIONARY MALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE Of 100,000 Males Born Mortality would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. INTERVAL. Alive : per Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. .r to x+1 l x d x 1000g x e x Lj; L x /rf x T* lOOOk/Ts l 2 3 4 5 6 7 8 9 INFA NT MORTALI TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. Per month. Annual rate. 0-1 100 000 4 660 46.60 48.95 8 042 20.76 4 894 699 20.43 1-2 95 340 1 231 12.91 51.26 7 894 76.92 4 886 657 19.51 2-3 94 109 1 127 11.97 51.84 7 795 83.04 4 878 763 19.29 3-4 92 982 1 033 11.12 52.39 7 705 89.52 4 870 968 19.09 4-5 91 949 944 10.26 52.89 7 623 96.96 4 863 263 18.91 5-6 91 005 858 9.43 53.36 7 548 105.60 4 855 640 18.74 6-7 90 147 777 8.62 53.78 7 480 115.56 4 848 092 18.59 7-8 89 "370 704 7.87 54.16 7 418 126.48 4 840 612 18.46 8-9 88 666 637 7.19 54.51 7 362 138.72 4 833 194 18.35 9-10 88 029 576 6.55 54.82 7 312 152.28 4 825 832 18.24 10-11 87 453 523 5.98 55.10 7 266 166.68 4 818 520 18.15 11-12 86 930 482 5.54 55.35 7 224 179.88 4 811 254 18.07 LIF] 5 TABLE FO R WHOLE RA NTGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 13 552 135.52 48.95 90 669 6.69 4 894 699 20.43 1-2 86 448 2 983 34.51 55.57 84 688 28.39 4 804 030 18.00 2-3 83 465 1 314 15.73 56.54 82 769 62.99 4 719 342 17.69 3-4 82 151 826 10.05 56.44 81 722 98.94 4 636 573 17.72 4-5 . 81 325 624 7.67 56.01 81 001 129.81 4 554 851 17.85 5-6 80 701 481 5.96 55.44 80 461 167.28 4 473 850 18.04 6-7 80 220 400 5.00 54.77 80 020 200.05 4 393 389 18.26 7-8 79 820 335 4.19 54.04 79 652 237.77 4 313 389 18.50 8-9 79 485 282 3.55 53.26 79 344 281.36 1 233 717 18.78 9-10 79 203 243 3.07 52.45 79 081 325.44 4 154 373 19.07 10-11 78 960 217 2.75 51.61 78 851 363.37 4 075 292 19.38 11-12 78 743 205 2.59 50.75 78 641 383.61 3 996 441 19.70 12-13 78 538 202 2.58 49.88 78 437 388.30 3 917 800 20.05 13-14 78 336 212 2.71 49.01 78 230 369.01 3 839 363 20.40 14-15 78 124 231 2.95 48.14 78 008 337.70 3 761 133 20.77 15-16 77 893 257 3.30 47.28- 77 765 302.59 3 683 125 21.15 16-17 77 636 289 3.72 46.44 77 492 268.14 3 605 360 21.53 17-18 77 347 325 4.20 45.61 77 185 237.49 3 527 868 21.93 18-19 77 022 364 4.73 44.80 76 840 211.10 3 450 683 22.32 19-20 76 658 408 5.32 44.01 76 454 187.39 3 373 843 22.72 20-21 76 250 457 5.99 43.24 76 022 166.35 3 297 389 23.13 21-22 75 793 495 6.54 42.50 75 546 152.62 3 221 367 23.53 22-23 75 298 515 6.84 41.78 75 040 145.71 3 145 821 23.93 23-24 74 783 522 6.97 41.06 74 522 142.76 3 070 781 24.35 24-25 74 261 528 7.12 40.35 73 997 140.15 2 996 259 24.78 25-26 73 733 534 7.24 39.63 73 466 137.58 2 922 262 25.23 26-27 73 199 540 7.38 38.92 72 929 135.05 2 848 796 25.69 27-28 72 659 551 7.59 38.20 72 383 131.37 2 775 867 26.18 28-29 72 108 566 7.85 37.49 71 825 126.90 2 703 484 26.67 29-30 71 542 579 8.09 36.78 71 252 123.06 2 631 659 27.19 30-31 70 963 591 8.33 36.08 70 668 119.57 2 560 407 27.72 31-32 70 372 600 8.53 35.38 70 072 116.79 2 489 739 28.26 32-33 69 772 606 8.69 34.68 69 469 114.64 2 419 667 28.84 33-34 69 166 609 8.80 33.98 68 861 113.07 2 350 198 29.43 34-35 68 557 611 8.92 33.28 68 251 111.70 2 281 337 30.05 35-36 67 946 614 9.03 32.57 67 639 110.16 2 213 086 30.70 36-37 67 332 618 9.17 31.86 67 023 108.45 2 145 447 31.39 37-38 66 714 622 9.33 31.15 66 403 106.76 2 078 424 32.10 38-39 66 092 629 9.52 30.44 65 777 104.57 2 012 021 32.85 39-40 65 463 635 9.69 29.73 65 146 102.59 1 946 244 33.64 40-41 64 828 639 9.87 29.02 64 509 100.95 1 881 098 34.46 41-42 64 189 646 10.07 28.30 63 866 98.86 1 816 589 35.34 42-43 63 543 656 10.32 27.58 63 215 96.36 1 752 723 36.26 43-44 62 887 668 10.63 26.87 62 553 93.64 1 689 508 37.22 44-45 62 219 683 10.97 26.15 61 877 90.60 1 626 955 38.24 UNITED STATES LIFE TABLES. 89 THE ORIGINAL REGISTRATION STATES: 1901. TABLE 19 REPORTED DEATHS IN 1900 (129,797), IN 1901 (124,250), AND IN 1902 (120,134). Michigan, and the District of Columbia. An explanation of each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. STATIONARY MALE POPULATION, AGE INTERVAL. Of 100,000 Males Born Alive: Rate of Mortality per Thousand. Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to .-r+1 lx d x lOOOfe e% Lz l-i x /a x T, 1000^/Tz 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YE AR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 46-47 47-48 48-49 49-50 61 536 60 836 60 118 59 387 58 645 700 718 731 742 754 11.38 11.80 12.16 12.49 12.86 25.43 24.72 24.01 23.30 22.59 61 186 60 477 59 752 59 016 58 268 87.41 84.23 81.74 79.54 77.28 1 565 078 1 503 892 1 443 415 1 383 663 1 324 647 39.32 40.45 41.65 42.92 44.27 50-51 51-52 52-53 53-54 54-55 57 891 57 123 56 336 55 520 54 669 768 787 816 851 891 13.27 13.78 14.47 15.33 16.29 21.88 21.16 20.45 19.74 19.04 57 507 56 729 55 928 55 095 54 224 74.88 72.08 68.54 64.74 60.86 1 266 379 1 208 872 1 152 143 1 096 215 1 041 120 45.70 47.26 48.90 50.66 52.52 55-56 56-57 57-58 58-59 59-60 53 778 52 843 51 861 50 832 49 759 935 982 1 029 1 073 1 123 17.39 18.59 19.83 21.12 22.55 18.35 17.67 16.99 16.33 15.67 53 311 52 352 51 346 50 295 49 197 57.02 53.31 49.90 46.87 43.81 986 896 933 585 881 233 829 887 779 592 54.50 56.59 58.86 61.24 63.82 60-61 61-62 62-63 63-64 64-65 48 636 47 465 46 235 44 934 43 552 1 171 1 230 1 301 1 382 1 462 24.09 25.90 28.14 30.76 33.57 15.02 14.38 13.74 13.13 12.53 48 051 46 850 45 585 44 243 42 821 41.03 38.09 35.04 32.01 29.29 730 395 682 344 635 494 589 909 545 666 66.58 69.54 72.78 76.16 79.81 65-66 66-67 67-68 68-69 69-70 42 090 40 549 38 933 37 252 35 513 1 541 1 616 1 681 1 739 1 796 36.62 39.84 43.17 46.70 50.57 11.95 11.38 10.83 10.30 9.78 41 319 39 741 38 093 36 382 34 615 26.81 24.59 22.66 20.92 19.27 502 845 461 526 421 785 383 692 347 310 83.68 87.87 92.34 97.09 102.25 70-71 71-72 72-73 73-74 74-75 33 717 31 870 29 974 28 031 26 054 1 847 1 896 1 943 1 977 2 004 54.78 59.49 64.82 70.54 76.89 9.27 8.78 8.31 7.85 7.41 32 793 30 922 29 002 27 042 25 052 17.75 16.31 14.93 13.68 12.50 312 695 279 902 248 980 219 978 192 936 107.87 113.90 120.34 127.39 134.95 75-76 76-77 77-78 78-79 79-80 24 050 22 032 20 010 18 001 16 026 2 018 2 022 2 009 1 975 1 920 83.94 91.77 100.39 109.74 119.76 6.98 6.57 6.19 5.82 5.48 23 041 21 021 19 005 17 013 15 066 11.42 10.40 9.46 8.61 7.85 167 884 144 843 123 822 104 817 87 804 143.27 152.21 161.55 171.82 182.48 80-81 81-82 82-83 83-84 84-85 14 106 12 268 10 533 8 922 7 452 1 838 1 735 1 611 1 470 1 321 130.34 141.40 152.90 164.84 177.25 5.16 4.85 4.57 4.31 4.06 13 187 11 400 9 728 8 187 6 791 7.17 6.57 6.04 5.57 5.14 72 738 59 551 48 151 38 423 30 236 193.80 206.19 218.82 232.02 246.31 85-86 86-87 87-88 88-89 89-90 6 131 4 965 3 954 3 093 2 374 1 166 1 Oil 861 719 587 190.18 203.66 217.72 232.30 247.38 3.82 3.60 3.40 3.21 3.02 5 548 4 459 3 523 2 734 2 081 4.76 4.41 4.09 3.80 3.54 23 445 17 897 13 438 9 915 7 181 261.78 277.78 294.12 311.53 331.13 90-91 91-92 92-93 93-94 1 94-95 1 787 1 317 950 669 460 470 367 281 209 152 262.90 278.89 295.32 312.32 330.26 2.85 2.69 2.54 2.40 2.26 1 552 1 134 810 565 384 3.30 3.09 2.89 2.70 2.53 5 100 3 548 2 414 1 604 1 039 350.88 371.75 393.70 416.67 442.48 95-96 96-97 97-98 98-99 99-100 308 201 127 77 45 107 74 50 32 19 349.17 369.10 390.11 412.24 435.55 2.13 2.00 1.88 1.77 1.66 254 164 102 61 35 2.36 2.21 2.06 1.93 1.80 655 401 237 135 74 469.48 500.00 531.91 564.97 602.41 100-101 101-102 102-103 103-104 104-105 26 14 7 3 2 12 7 4 1 1 460.09 485.90 513.05 541.59 571.58 1.56 1.46 1.36 1.27 1.19 20 10 5 3 1 1.67 1.56 1.45 1.35 1.25 39 19 9 4 1 641.03 684.93 735.29 787.40 840.34 105-106 1 1 603.05 1.11 1.16 900.90 90 UNITED STATES LIFE TABLES. TABLE 20 LIFE TABLE FOR NATIVE WHITE MALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (8,753,112), AND ON THE Note. — The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on AGE INTERVAL Period of lifetime between two exact ages. x to x-\-l Of 100,000 Males Born Alive : Number alive at beginning of age Interval. Number dyinc in age interval Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. 1000g x Complete Expectation op Life. Average length of life remaining to each one alive at beginning of age interval. STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. Population per death in age interval. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. IOOO^/Tj INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 00 000 95 025 93 751 92 720 91 842 91 076 90 397 89 779 S9 21H 88 703 MS 235 87 804 Monthly rate. 4 975 49.75 1 274 13.41 1 031 10.99 878 9.48 766 8.34 679 7.45 618 6.84 563 6.27 513 5.75 468 5.27 431 4.88 406 4.63 In years. 50.58 53.15 53.78 54.30 54.73 55.11 55.44 55.74 56.01 56.25 56.46 56.66 866 770 690 622 561 507 458 413 372 335 300 Per month. 19.32 74.04 90.48 105.12 119.40 133.68 145.80 159.00 173.40 189.00 204.24 215.76 058 272 050 250 042 384 034 614 026 924 019 302 Oil 741 004 234 996 776 989 363 981 991 974 656 Annual rate. 19.77 18.81 18.59 18.42 18.27 18.15 18.04 17.94 17.85 17.78 17.71 17.65 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 100 000 87 398 H4 915 83 840 83 185 82 722 82 337 82 on 81 734 81 496 81 286 81 094 80 909 SO 724 80 531 SO 323 SO 096 79 846 79 570 79 263 78 923 78 543 78 130 77 702 77 269 76 828 76 380 75 922 75 449 74 955 74 442 73 911 73 359 72 787 72 195 71 584 70 956 70 313 69 659 68 996 68 322 67 637 66 941 66 233 65 511 12 602 2 483 1 075 655 463 385 326 277 238 210 192 185 IS", 193 208 227 250 276 307 340 380 413 428 433 441 448 458 473 494 513 531 552 572 592 611 628 643 654 663 674 685 696 708 722 738 Annual rate. In years 126.02 50.58 28.41 56.84 12.66 57.49 7.81 57.22 5.57 56.66 4.66 55.98 3.96 55.24 ' 3.38 54.46 2.91 53.64 2.58 52.79 2.37 51.93 2.28- 51.05 2.29 50.17 2.40 49.28 2.58 48.40 2.82 47.52 3.12 46.65 3.46 45.80 3.85 44.96 4.30 44.13 4.82 43.32 5.25 42.52 5.48 41.74 5.58 40.97 5.71 40.20 5.83 39.43 5.99 38.65 6.23 37.89 6.54 37.12 6.84 36.36 7.14 35.61 7.46 34.86 7.80 34.12 8.14 33.38 8.46 32.65 8.78 31.93 9.06 31.21 9.30 30.49 9.52 29.77 9.77 29.05 10.02 28.33 10.29 27.61 10.58 26.89 10.90 26.18 11.27 25.46 90 916 85 933 84 345 S3 500 82 945 82 530 82 174 81 873 SI 615 81 391 81 190 81 001 80 817 80 627 80 427 SO 210 79 971 79 708 79 417 79 093 78 733 78 337 77 916 77 485 77 048 76 604 76 151 75 685 75 202 74 699 71 177 73 635 73 073 72 491 71 889 71 270 70 634 69 986 69 328 68 659 67 980 67 289 66 587 65 872 65 142 Per year. 7.21 34.61 78.46 127.48 179.15 214.36 252.07 295.57 342.92 387.58 422.86 437.84 436.85 417.76 386.67 353.35 319.88 288.80 258.69 232.63 207.19 189.68 182.05 178.95 174.71 170.99 166.27 160.01 152.23 145.61 139.69 133.40 127.75 122.45 117.66 113.49 109.85 107.01 104.57 101.87 99.24 96.68 94.05 91.24 88.27 5 058 272 4 967 356 4 881 423 4 797 078 4 713 578 4 630 633 4 548 103 4 465 929 4 384 056 4 302 441 4 221 050 4 139 860 4 058 859 3 978 042 3 897 415 3 816 988 3 736 778 3 656 S07 3 577 099 3 497 682 3 418 589 3 339 856 3 261 519 3 183 603 3 106 118 3 029 070 a 952 466 2 876 315 2 800 630 2 725 428 2 650 729 2 576 552 2 502 917 2 429 844 ^ 357 353 2 285 464 2 214 194 2 143 560 2 073 574 2 004 246 1 935 587 1 867 607 1 80(1 318 1 733 731 1 661 859 Annual rate. 19.77 17.59 17.39 17.48 17.65 17.86 18.10 18.36 18.64 18.94 19.26 19.59 19.93 20.29 20.66 21.04 21.44 21.83 22.24 22.66 23.08 23.52 23.96 24.41 24.88 25.36 25.87 26.39 26.94 27.50 28.08 28.69 29.31 29.96 30.63 31.32 32.04 32.80 33.59 34.42 35.30 36.22 37.19 38.20 39.28 UNITED STATES LIFE TABLES. THE ORIGINAL REGISTRATION STATES: 1910. 91 TABLE 20 REPORTED DEATHS IN 1909 (132,091), IN 1910 (140,845), AND IN 1911 (135,722). Michigan, and the District of Columbia. An explanation of each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. * 6 STATIONARY MALE POPULATION, Rate op Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CUBEENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annua] death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to x-\-X lx d x lOOOfe Cx Lx ~L x ld x % 1000Z X /T X 1 2 3 4 5 J 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 64 773 757 11.68 24.74 64 395 85.07 1 602 717 40.42 46-47 64 016 778 12.16 24.03 63 627 81.78 1 538 322 41.61 47-48 63 238 801 12.67 23.32 | 62 837 78.45 1 474 695 42.88 48-49 62 437 823 13.17 22.61 62 026 75.37 1 411 858 44.23 49-50 61 614 842 13.68 21.91 61 193 72.68 1 349 832 45.64 50-51 60 772 861 14.17 21.20 60 341 70.08 1 288 639 47.17 51-52 59 911 885 14.77 20.50 59 468 67.20 1 228 298 48.78 52-53 59 026 922 15.62 19.80 58 565 63.52 1 168 830 50.51 53-54 58 104 972 16.73 19.11 57 618 59.28 1 110 265 52.33 54-55 57 132 1 027 17.98 18.42 ; 56 618 55.13 1 052 647 54.29 55-56 56 105 1 092 19.47 17.75 55 559 50.88 996 029 56.34 56-57 55 013 1 157 21.03 17.10 ! 54 434 47.05 940 470 58.48 57-58 53 856 1 211 22.49 16.45 53 250 43.97 886 036 60.79 58-59 52 645 1 257 23.86 15.82 52 016 41.38 832 786 63.21 59-60 51 388 1 307 25.45 15.19 50 735 38.82 780 770 65.83 60-61 50 081 1 363 27.21 14.58 49 400 36.24 730 035 68.59 61-62 48 718 1 422 29.19 13.97 48 007 33.76 680 635 71.58 62-63 47 296 1 488 31.47 13.38 46 552 31.28 632 628 74.74 63-64 45 808 1 557 33.99 12.79 45 029 28.92 586 076 78.19 64-65 44 251 1 621 36.62 12.23 43 441 26.80 541 047 81.77 65-66 42 630 1 678 39.38 11.67 41 791 24.91 497 606 85.69 66-67 40 952 1 735 42.35 11.13 40 084 23.10 455 815 89.85 67-68 39 217 1 789 45.63 10.60 38 322 21.42 415 731 94.34 68-69 37 428 1 844 49.26 10.08 36 506 19.80 377 409 99.21 69-70 35 584 1 890 53.12 9.58 34 639 18.33 340 903 104.38 70-71 33 694 1 928 57.20 9.09 32 730 16.98 306 264 110.01 71-72 31 766 1 964 61.84 8.61 30 784 15.67 273 534 116.14 72-73 29 802 2 007 67.33 8.15 28 799 14.35 242 750 122.70 73-74 27 795 2 047 73.67 7.70 26 772 13.08 213 951 129.87 74-75 25 748 2 079 80.72 7.27 24 709 11.89 187 179 137.55 75-76 23 669 2 102 88.83 6.86 22 618 10.76 162 470 145.77 76-77 21 567 2 096 97.18 6.48 20 519 9.79 139 852 154.32 77-78 19 471 2 046 105.09 6.13 18 448 9.02 119 333 163.13 78-79 17 425 1 966 112.83 5.79 16 442 8.36 100 885 172.71 79-80 15 459 1 884 121.84 5.46 14 517 7.71 84 443 183.15 80-81 13 575 1 797 132.43 5.15 12 676 7.05 69 926 194.17 81-82 11 778 1 694 143.82 4.86 10 931 6.45 57 250 205.76 82-83 10 084 1 564 155.08 4.59 9 302 5.95 46 319 217.86 83-84 8 520 1 415 166.10 4.34 7 812 5.52 37 017 230.41 84-85 7 105 1 264 177.88 4.11 6 473 5.12 29 205 243.31 85-86 5 841 1 109 189.87 3.89 5 287 4.77 22 732 257.07 86-87 4 732 956 202.04 3.69 4 254 4.45 17 44.5 271.00 87-88 3 776 810 214.39 3.49 3 371 4.16 13 191 286.53 88-89 2 966 673 227.01 3.31 2 630 3.91 9 820 302.11 89-90 2 293 550 239.98 3.14 2 018 3.67 7 190 318.47 90-91 ! 1 743 442 253.33 2.97 1 522 3.45 5 172 336.70 91-92 1 301 347 267.12 2.81 1 127 3.24 3 650 355.87 92-93 954 269 281.56 2.65 819 3.05 2 523 377.36 93-94 685 203 297.06 2.49 583 2.87 1 704 401.61 94-95 482 152 314.28 2.33 406 2.68 1 121 429.18 95-96 330 110 334.13 2.16 275 2.49 715 462.96 96-97 220 79 357.67 2.00 181 2.30 440 500.00 97-98 141 54 385.87 1.83 114 2.09 259 546.45 98-99 87 37 419.32 1.66 69 1.88 145 602.41 99-100 50 23 458.11 1.51 39 1.68 76 662.25 100-101 27 13 501.78 1.36 20 1.49 37 735.29 101-102 14 8 549.32 1.22 10 1.32 17 819.67 102-103 6 4 599.32 1.10 4 1.17 7 909.09 103-104 104-105 2 1 650.20 .99 2 1.04 3 1 1 700.48 .89 1 .93 1 UNITED STATES LIFE TABLES. LIFE TABLE FOR NATIVE WHITE FEMALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (7,715,692), AND ON THE Note. — The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on 92 TABLE 21 STATIONARY FEMALE POPULATION, Rate op Complete Expectation op Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Op 100,000 Females Born Aijve: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION W CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x-\-l l x d x 1000^ «x L* LxMe Tz ioooyT x 1 2 3 4 5 6 7 8 9 INFA NT MORTAL1 TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. Per month. Annual rate. 0-1 100 000 3 578 35.78 51.93 8 110 27.24 5 192 843 19.26 1-2 96 422 1 013 10.51 53.77 7 993 94.68 5 184 733 18.60 2-3 95 409 939 9.84 54.26 7 912 101.16 5 176 740 18.43 3-4 94 470 872 9.23 54.71 7 836 107.88 5 168 828 18.28 4-5 93 598 805 8.61 55.14 7 766 115.80 5 160 992 18.14 5-6 92 793 741 7.99 55.53 7 702 124.68 5 153 226 18.01 6-7 92 052 677 7.35 55.90 7 643 135.48 5 145 524 17.89 7-8 91 375 616 6.74 56.23 1 7 589 147.84 5 137 881 17.78 8-9 90 759 561 6.18 56.53 7 540 161.28 5 130 292 17.69 9-10 90 198 512 5.68 56.79 7 495 175.68 5 122 752 17.61 10-11 89 686 474 5.29 57.04 7 454 188.76 5 115 257 17.53 11-12 89 212 455 5.10 57.25 7 415 195.60 5 107 803 17.47 LIF E TABLE FO a WHOLE RA1 164 200.40 57 063 212.77 45 814 226.24 36 277 240.38 2S 299 255.75 21 720 272.48 16 379 290.70 12 116 310.56 8 777 332.23 6 215 355.87 4 291 380.23 2 888 408.16 1 887 436.68 1 195 469.48 732 502.51 432 540.54 245 581.40 133 625.00 69 67J.14 34 724.64 16 781.25 7 840.34 3 909.09 980.39 94 UNITED STATES LIFE TABLES. TABLE 22 LIFE TABLE FOR NATIVE WHITE FEMALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (8,872,897), AND ON THE Note. — The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on AGE INTERVAL. Period of lifetime between two exact ages. x to x-\-l Of 100,000 Females Born Alive: Number alive at beginning of age interval. Number dying in age interval Rate op Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. lOOOfe Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. e x STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION m CURRENT AGE INTERVAL. Including only those in current month or year of age. measure or VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Population per death in age interval. Li/d-r Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. lOOOZz/Tz INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 00 000 96 106 95 0S9 94 241 93 500 92 842 92 245 91 701 91 204 90 747 90 320 89 919 Monthly rate. In years 3 894 38.94 54.19 1 017 10.58 56.30 848 8.92 56.82 741 7.87 57.25 658 7.04 57.62 597 6.43 57.95 544 5.90 58.24 497 5.41 58.50 457 5.02 58.73 427 4.70 58.95 401 4.45 59.14 379 4.21 59.32 8 090 7 966 7 889 7 823 7 764 7 712 664 621 581 544 510 477 Per month. 24.96 93.96 111.60 126.72 141.60 155.04 169.08 183.96 199.08 212.04 224.76 236.76 5 419 272 5 411 182 5 403 216 5 395 327 5 387 504 5 379 740 372 028 364 364 356 743 349 162 341 618 334 108 Annual rate. 18.45 17.76 17.60 17.47 17.36 17.26 17.17 17.09 17.03 16.96 16.91 16.86 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. -1 1 -2 2 -3 3 -4 4 ■5 5 -6 6 -7 7 -8 8 -9 9 -10 10 -11 11 -12 12 -13 13 -1 + 14 -15 15 -lfi l(i ■17 17 •IS IK -19 19 20 20 • 21 •21 22 22 23 23 24 24 ■25 25 2fi 2(i -27 27 28 28 29 29 30 30 31 31- 32 32 33 33- 3 4 34- 35 35- 36 36- 37 37- 38 38- 39 39- 40 40- 41 11- 42 12- 43 13- 44 11- 45 100 000 89 540 87 203 86 205 85 570 85 121 K4 743 84 429 84 168 83 949 83 760 83 587 S3 422 83 254 83 075 82 878 K2 659 82 416 K2 147 81 851 81 526 81 168 80 782 80 379 79 967 79 546 79 114 78 673 78 223 77 765 77 298 76 825 76 343 75 850 75 347 71 833 74 309 73 777 73 239 72 694 72 142 71 582 71 012 70 427 69 824 10 460 2 337 998 635 449 378 314 261 219 189 173 165 168 179 197 219 243 269 296 325 358 386 403 412 421 432 441 450 458 467 473 482 493 503 514 524 532 538 545 552 560 570 585 603 623 Annual xate. In years 104.60 54.19 26.10 59.49 11.44 60.07 7.38 59.76 5.24 59.20 4.45 58.51 3.70 57.77 3.09 56.98 2.60 56.16 2.26 55.30 2.06 54.43 1.98 53.54 2.02 52.64 2.15 51.75 2.36 50.86 2.64 49.98 2.95 49.11 3.26 48.25 3.60 47.41 3.97 46.58 4.40 45.76 4.76 44.96 4.99 44.18 5.12 43.39 5.28 42.62 5.43 41.84 5.57 41.06 5.72 40.29 5.86 39.52 6.00 38.75 6.13 37.98 6.27 37.21 6.45 36.44 6.64 35.68 6.82 34.91 7.00 34.15 7.16 33.39 7.30 32.62 7.44 31.86 7.59 31.09 7.76 30.33 7.97 29.56 8.24 28.80 8.56 28.03 8.92 27.27 92 641 88 161 86 674 85 875 85 336 84 932 84 586 84 298 84 059 83 854 83 673 S3 505 S3 338 83 164 82 977 82 769 S2 537 82 281 SI 999 St 689 81 347 SO 975 so 581 80 173 79 756 79 330 7S 893 7S 448 77 994 77 531 77 062 76 584 76 097 75 598 75 090 71 571 74 043 73 508 72 966 72 418 71 862 71 297 70 720 70 126 69 513 Per year. 8.86 37.72 86.85 135.24 190.06 224.69 269.38 322.98 383.83 443.67 483.66 506.09 496.06 464.60 421.20 377.94 339.66 305.88 277.02 251.35 227.23 209.78 199.95 194.59 189.44 183.63 178.90 174.33 170.29 166.02 162.92 158.89 154.35 150.29 146.09 142.31 139.18 136.63 133.88 131.19 128.33 125.08 120.89 116.30 111.58 5 419 272 5 326 631 5 238 470 5 151 796 5 065 921 4 980 585 4 895 653 4 811 067 4 726 769 4 642 710 4 558 856 4 475 183 4 391 678 4 308 340 4 225 176 4 142 199 4 059 430 3 976 893 3 894 612 3 812 613 3 730 924 3 649 577 3 568 602 3 488 021 3 407 848 3 328 092 3 248 762 3 169 869 3 091 421 3 013 427 2 935 896 2 858 834 2 782 250 2 706 153 2 630 555 2 555 465 2 480 894 2 406 851 «J 333 343 2 260 377 2 187 959 2 116 097 2 044 800 1 974 080 1 903 954 Annual rate. 18.45 16.81 16.65 16.73 16.89 17.09 17.31 17.55 17.81 18.08 18.37 18.68 19.00 19.32 19.66 20.01 20.36 20.73 21.09 21.47 21.85 22.24 22.63 23.05 23.46 23.90 24.35 24.82 25.30 25.81 26.33 26.87 27.44 28.03 28.65 29.28 29.95 30.66 31.39 32.16 32.97 33.83 34.72 35.68 36.67 UNITED STATES LIFE TABLES. 95 THE ORIGINAL REGISTRATION STATES: 1910. TABLE 22 REPORTED DEATHS IN 1909 (116^471), IN 1910 (123,551), AND IN 1911 (119,064). Michigan, and the District of Columbia. An explanation of each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. STATIONARY FEMALE POPULATION, Rate of Complete Expectation op Life. Unaffected by Emigralion and Immigration, which. Assuming the Mortality Rates in Column 4, AGE INTERVAL. Op 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to x-\-\ h d x lOOOgz h Lx Lj/rfj T* lOOOZz/T, 1 2 3 4 5 6 7 8 9 LIFE TABLE FOE WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 69 201 645 9.33 26.51 68 879 106.79 1 834 441 37.72 46-47 68 556 671 9.79 25.75 68 220 101.67 1 765 562 38.83 47-48 67 885 697 10.26 25.00 67 536 96.90 1 697 342 40.00 48-49 67 188 720 10.72 24.26 66 828 92.82 1 629 806 41.22 49-50 66 468 745 11.20 23.51 66 095 88.72 1 562 978 42.54 50-51 65 723 767 11.68 22.78 65 339 85.19 1 496 883 43.90 51-52 64 956 795 12.24 22.04 64 558 81.21 1 431 544 45.37 52-53 64 161 832 12.97 21.31 63 745 76.62 1 366 986 46.93 53-54 63 329 880 13.90 20.58 62 889 71.46 1 303 241 48.59 54-55 62 449 934 14.95 19.86 61 982 66.36 1 240 352 50.35 55-56 61 515 997 16.20 19.16 61 017 61.20 1 178 370 52.19 56-57 60 518 1 058 17.49 18.46 59 989 56.70 1 117 353 54.17 57-58 59 460 1 107 18.62 17.78 58 907 53.21 1 057 364 56.24 58-59 58 353 1 145 19.63 17.11 57 780 50.46 998 457 58.45 59-60 57 208 1 190 20.79 16.44 56 613 47.57 940 677 60.83 60-61 56 018 1 236 22.06 15.78 55 400 44.82 884 064 63.37 61-62 54 782 1 292 23.58 15.13 54 136 41.90 828 664 66.09 62-63 53 490 1 363 25.48 14.48 52 809 38.74 774 528 69.06 63-64 52 127 1 413 27.69 13.85 51 406 35.62 721 719 72.20 64-65 50 684 1 520 29.99 13.23 49 924 32.84 670 313 75.59 65-66 49 164 1 591 32.37 12.62 48 369 30.40 620 389 79.24 66-67 47 573 1 667 35.04 12.02 46 740 28.04 572 020 83.19 67-68 45 906 1 753 38.19 11. It 45 029 25.69 525 280 87.41 68-69 44 153 1 847 41.84 10.88 43 229 23.40 480 251 91.91 69-70 42 306 1 939 45.82 10.33 41 336 21.32 437 022 96.81 70-71 40 367 2 028 50.24 9.80 39 353 19.40 395 686 102.04 71-72 38 339 2 107 54.95 9.29 37 286 17.70 356 333 107.64 72-73 36 232 2 165 59.78 8.81 35 149 16.24 319 047 113.51 73-74 34 067 2 207 64.76 8.33 32 963 14.94 283 898 120.05 74-75 31 860 2 237 70.22 7.88 30 742 13.74 250 935 126.90 75-76 29 623 2 255 76.13 7.43 28 495 12.64 220 193 134.59 76-77 27 368 2 263 82.67 7.00 26 237 11.59 191 698 142.86 77-78 25 105 2 264 90.19 6.59 23 973 10.59 165 461 151.75 78-79 22 841 2 259 98.93 6.19 21 711 9.61 141 488 161.55 79-80 20 582 2 244 109.01 5.82 19 460 8.67 119 777 171.82 80-81 18 338 2 223 121.23 5.47 17 227 7.75 100 317 182.82 81-82 16 115 2 158 133.94 5.16 15 036 6.97 83 090 193.80 82-83 13 957 2 022 144.87 4.88 12 946 6.40 68 054 204.92 83-84 11 935 1 835 153.75 4.62 11 017 6.00 55 108 216.45 84-85 10 100 1 652 163.52 4.37 9 274 5.62 44 091 228.83 85-86 8 448 1 469 173.91 4.12 7 714 5.25 34 817 242.72 86-87 6 979 1 295 185.57 3.88 6 331 4.89 27 103 257.73 87-88 5. 684 1 126 198.13 3.65 5 121 4.55 20 772 273.97 88-89 4 558 965 211.72 3.43 4 075 4.22 15 651 291.55 89-90 3 593 814 226.41 3.22 3 186 3.92 11 576 310.56 90-91 2 779 673 242.22 3.02 2 443 3.63 8 390 331.13 91-92 2 106 546 259.17 2.82 1 833 3.36 5 947 354.61 92-93 1 560 432 277.37 2.64 1 344 3.11 4 114 378.79 93-94 1 128 335 297.08 2.46 960 2.87 2 770 406.50 94-95 793 253 318.57 2.28 666 2.64 1 810 438.60 95-96 540 185 342.18 2.12 448 2.42 1 144 471.70 96-97 355 131 368.11 1.96 290 2.22 696 510.20 97-98 224 89 396.51 1.80 180 2.02 406 555.56 98-99 135 57 427.35 1.66 107 1.84 226 602.41 99-100 78 36 460.37 1.53 60 1.67 119 653.59 100-101 42 21 495.18 1.40 32 1.52 59 714.29 101-102 21 11 531.49 1.29 16 1.38 27 775.19 102-103 10 6 568.93 1.19 7 1.26 11 840.34 103-104 4 2 607.22 1.09 3 1.15 4 917.43 104-105 2 1 645.62 1.01 1 1.05 1 990.10 105-106 1 1 684.48 .93 .96 96 UNITED STATES LIFE TABLES. TABLE 23 LIFE TABLE FOR FOREIGN-BORN WHITE MALES BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (2,367,801), AND ON THE Note. — The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey. Indiana, tables, are given on AGE INTERVAL Period of lifetime between two exact ages. x to 2+1 Of 100,000 Males Alive at Exact Age 5: Number alive at beginning of age interval. Number dyin£ in age interval Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. 1000 the STATIONARY MALE POPULATION, Rate of Complete Expectation Unaffected by Emigral on and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Males Alive at Exact Age 5: Mortality would result if 100,000 Males at" Ago 5 were Added Uniformly Throughout Each Year. per of Life. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 Average length of life remaining to each one alive at beginning of age interval. Including only those in current Population per death in age interval. Sum of numbers in column 6 in cur- Average annual death rate per thousand of pop- between two exact ages. alive at begin- ning of age interval. month or year of age. rent and all older age intervals. ulation in cur- rent and all older age intervals. X to X-\-l lx d x 1000^ o I* LrMc T* loooyTz 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALE OF ONE YEAR— Continue'!. Years. Annual rate. In years. Per year. Annual rate. 45-46 74 969 1 120 14.94 22.40 74 409 66.44 1 678 964 44.64 46-47 73 849 1 162 15.74 21.73 73 268 63.05 1 604 555 46.02 47-48 72 687 1 203 16.54 21.07 72 086 59.92 1 531 287 47.46 48-49 71 484 1 237 17.31 20.41 70 866 57.29 1 459 201 49.00 49-50 70 247 1 270 18.09 19.76 69 612 54.81 1 388 335 50.61 50-51 68 977 1 298 18.81 19.12 68 328 52.64 1 318 723 52.30 51-52 67 679 1 338 19.77 18.48 67 010 50.08 1 250 395 54.11 52-53 66 341 1 406 21.19 17.84 65 638 46.68 1 183 385 56.05 53-54 64 935 1 495 23.04 17.21 64 187 42.93 1 117 747 58.11 54-55 63 440 1 589 25.05 16.61 62 645 39.42 1 053 560 60.20 55-56 61 851 1 693 27.36 16.02 61 004 36.03 990 915 62.42 56-57 60 158 1 780 29.60 15.46 59 268 33.30 929 911 64.68 57-58 58 378 1 830 31.35 14.91 57 463 31.40 870 643 67.07 58-59 56 548 1 850 32.72 14.38 55 623 30.07 813 180 69.54 59-60 54 698 1 873 34.24 13.85 53 761 28.70 757 557 72.20 60-61 52 825 1 889 35.75 13.32 51 881 27.46 703 796 75.08 61-62 ! 50 936 1 915 37.60 12.80 49 979 26.10 651 915 78.13 62-63 49 021 1 966 40.11 12.28 48 038 24.43 601 936 81.43 63-64 47 055 2 032 43.18 11.77 46 039 22.66 553 898 84.96 64-65 45 023 2 090 46.41 11.28 43 978 21.04 507 859 88.65 65-66 42 933 2 144 49.96 10.80 41 861 19.52 463 881 92.59 66-67 40 789 2 181 53.47 10.35 39 698 18.20 422 020 96.62 67-68 38 608 2 186 56.62 9.90 37 515 17.16 382 322 101.01 68-69 36 422 2 169 59.53 9.47 35 338 16.29 344 807 105.60 69-70 34 253 2 147 62.69 9.03 33 180 15.45 309 469 110.74 70-71 32 106 2 117 65.93 8.61 31 048 14.67 276 289 116.14 71-72 29 989 2 095 69.86 8.18 28 942 13.81 245 241 122.25 72-73 27 894 2 094 75.06 7.75 26 847 12.82 216 299 129.03 73-74 25 800 2 102 81.48 7.34 24 749 11.77 189 452 136.24 74-75 23 698 2 098 88.55 6.95 22 649 10.80 164 703 143.88 75-76 21 600 2 073 95.96 6.58 20 563 9.92 142 054 151.98 76-77 19 527 2 028 103.84 6.22 18 513 9.13 121 491 160.77 77-78 17 499 1 964 112.28 5.88 16 517 8.41 102 978 170.07 78-79 15 535 1 884 121.22 5.57 14 593 7.75 86 461 179.53 79-80 13 651 1 782 130.60 5.26 12 760 7.16 71 868 190.11 80-81 11 869 1 667 140.39 4.98 11 035 6.62 59 108 200.80 81-82 10 202 1 536 150.58 4.71 9 434 6.14 48 073 212.31 82-83 8 666 1 397 161.19 4.46 7 968 5.70 38 639 224.22 83-84 7 269 1 252 172.26 4.22 6 643 5.31 30 671 236.97 84-85 6 017 1 106 183.79 3.99 5 464 4.94 24 028 250.63 85-86 4 911 962 195.82 3.78 4 430 4.61 18 564 264.55 86-87 3 949 822 208.34 3.58 3 538 4.30 14 134 279.33 87-88 3 127 692 221.30 3.39 2 781 4.02 10 596 294.99 88-89 2 435 572 234.69 3.21 2 149 3.76 7 815 311.53 89-90 1 863 463 248.51 3.04 1 632 3.52 5 666 328.95 90-91 1 400 366 261.89 2.88 1 217 3.32 4 034 347.22 91-92 1 034 286 276.61 2.73 891 3.12 2 817 366.30 92-93 748 219 292.14 2.58 638 2.92 1 926 387.60 93-94 529 163 308.53 2.44 448 2.74 1 288 409.84 94-95 366 119 325.83 2.30 306 2.57 840 434.78 95-96 247 85 344.07 2.17 204 2.41 534 460.83 96-97 162 59 363.32 2.04 132 2.25 330 490.20 97-98 103 39 383.62 1.92 83 2.11 198 520.83 98-99 64 26 405.02 1.81 51 1.97 115 552.49 99-100 38 16 427.60 1.70 30 1.84 64 588.24 100-101 22 10 451.40 1.59 17 1.72 34 628.93 101-102 12 6 476.49 1.49 9 1.60 17 671.14 102-103 6 3 502.93 1.40 5 1.49 8 714.29 103-104 3 2 530.80 1.31 2 1.38 3 763.36 104-105 1 1 560.15 1.22 1 1.29 1 819.67 150822°— 21- 98 UNITED STATES LIFE TABLES. TABLE 24 LIFE TABLE FOR FOREIGN-BORN WHITE MALES BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (3,179,851), AND ON THE Note.— The original registration states include Maine, New Hampshire, Vermont, Massachusetts," Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on AGE INTERVAL. Period of lifetime between two exact ages. X to z-l-1 Of 100,000 Males Alive at Exact Age 5: Number alive at beginning of age interval. Number dying in age interval dx Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. lOOOfo Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. «i STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 11)0,1)00 Males at Age 5 were Added Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. Population per death in age interval. W^r POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. lOOO^/T^ INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly rate. In years. | Per month. Annual rate. It! |l There are two important reasons for beginning the life tables for foreign-born whites at age 5: First, the proportion of children under 5 years of age among foreign-born whites is so much smaller than among other classes of the population that mortality rates deduced therefrom are not reliable; second, the deaths among whites of unknown nativity must be distributed among deaths of native whites and foreign-born whites, and any error in the choice of the method of distribution would materially affect mortality rates under 5 years of age among the foreign-born whites. in LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 too 000 99 424 98 970 98 597 98 283 98 012 97 770 97 542 97 313 97 069 96 806 96 526 96 200 95 815 95 383 9+ 922 94 438 93 945 93 457 92 978 92 505 92 037 91 569 91 093 90 604 90 099 89 577 M9 029 88 446 87 824 87 162 8rt 456 85 710 84 929 84 117 83 272 82 396 81 483 80 527 79 525 576 454 373 314 271 242 228 229 244 263 280 326 385 432 461 484 493 488 479 473 468 468 476 489 505 522 548 583 622 662 706 746 781 812 845 876 913 956 1 002 1 049 Annual rate. In years. 5.76 4.57 3.76 3.18 2.76 2.47 2.33 2.34 2.50 2.71 2.89 3.38 4.01 4.51 4.83 5.10 5.22 5.20 5.12 5.08 5.06 5.09 5.19 5.37 5.57 5.80 6.12 6.55 7.03 7.54 8.10 8.63 9.11 9.56 10.04 10.53 11.08 11.73 12.45 13.20 54.24 53.55 52.79 51.99 51.16 50.30 49.42 48.53 47.65 46.76 45.89 45.02 44.17 43.35 42.54 41.75 40.96 40.17 39.38 38.58 37.77 36.96 36.15 35.33 34.52 33.71 32.91 32.11 31.31 30.53 29.76 29.00 28.25 27.50 26.76 26.03 25.30 24.58 23.87 23.16 99 712 99 197 98 783 98 440 98 148 97 891 97 656 97 427 97 191 96 938 96 666 96 363 96 008 95 599 95 153 94 680 94 192 93 701 93 217 92 742 92 271 91 803 91 331 90 849 90 352 89 838 89 303 88 737 KS 135 87 493 86 809 86 083 85 319 84 523 83 695 82 834 81 939 81 005 80 026 79 000 Per year. 173.11 218.50 264.83 313.50 362.17 404.51 428.32 425.45 398.32 368.59 345.24 295.59 249.37 221.29 206.41 195.62 191.06 192.01 194.61 196.07 197.16 196.16 191.87 185.79 178.91 172.10 162.96 152.21 141.70 132.16 122.96 115.39 109.24 104.09 99.05 94.56 89.75 84.73 79.87 75.31 423 811 324 099 224 902 126 119 027 679 929 531 831 640 733 984 636 557 539 366 442 428 345 762 249 399 153 391 057 792 3 962 639 3 867 959 3 773 767 3 680 066 3 586 849 3 494 107 3 401 836 3 310 033 3 218 702 3 127 853 3 037 501 2 947 663 2 858 360 2 769 623 2 681 488 2 593 2 507 2 421 2 335 2 251 2 167 2 084 2 002 1 921 1 841 995 186 103 784 261 566 732 793 788 762 Annual rate. 18.44 18.67 18.94 19.23 19.55 19.88 20.23 20.61 20.99 21.39 21.79 22.21 22.64 23.07 23.51 23.95 24.41 24.89 25.39 25.92 26.48 27.06 27.66 28.30 28.97 29.66 30.39 31.14 31.94 32.75 33.60 34.48 35.40 36.36 37.37 38.42 39.53 40.68 41.89 43.18 UNITED STATES LIFE TABLES. 99 IN THE ORIGINAL REGISTRATION STATES: 1910. TABLE 24 REPORTED DEATHS IN 1909 (50,282), IN 1910 (53,946), AND IN 1911 (54,775). Michigan, and the District of Columbia. An explanation of each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. AGE INTERVAL. Of 100,000 Males Alive at Exact Age 5: Rate of Mortality per Thousand. Complete Expectation or Life. STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Males at Age 5 were Added Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x+1 lx dx lOOOg^ he 1^ li x /d x Tx loooyTs 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 46-47 47-48 48-49 49-50 78 476 77 376 76 231 75 047 73 828 1 100 1 145 1 184 1 219 1 258 14.01 14.80 15.53 16.24 17.04 22.46 21.77 21.09 20.42 19.75 77 926 76 804 75 639 74 438 73 199 70.84 67.08 63.88 61.06 58.19 1 762 762 1 684 836 1 608 032 1 532 393 1 457 955 44.52 45.93 47.42 48.97 50.63 50-51 51-52 52-53 53-54 54-55 72 570 71 269 69 919 68 508 67 022 1 301 1 350 1 411 1 486 1 569 17.92 18.94 20.19 21.69 23.41 19.08 18.42 17.77 17.12 16.49 71 919 70 594 69 213 67 765 66 238 55.28 52.29 49.05 45.60 42.22 1 384 756 1 312 837 1 242 243 1 173 030 1 105 265 52.41 54.29 56.27 58.41 60.64 55-56 56-57 57-58 58-59 59-60 65 453 63 791 62 027 60 168 58 229 1 662 1 764 1 859 1 939 2 010 25.40 27.65 29.97 32.22 34.53 15.87 15.27 14.70 14.13 13.59 64 622 62 909 61 097 59 199 57 224 38.88 35.66 32.87 30.53 28.47 1 039 027 974 405 911 496 850 399 791 200 63.01 65.49 68.03 70.77 73.58 60-61 61-62 62-63 63-64 64-65 56 219 54 149 52 028 49 849 47 613 2 070 2 121 2 179 2 236 2 281 36.81 39.19 41.87 44.86 47.91 13.06 12.54 12.03 11.53 11.05 55 184 53 088 50 938 48 731 46 472 26.66 25.03 23.38 21.79 20.37 733 976 678 792 625 704 574 766 526 035 76.57 79.74 83.13 86.73 90.50 65-66 66-67 67-68 68-69 69-70 45 332 43 017 40 679 38 324 35 956 2 315 2 338 2 355 2 368 2 374 51.05 54.36 57.90 61.78 66.04 10.58 10.12 9.67 9.24 8.81 44 175 41 848 39 502 37 140 34 769 19.08 17.90 16.77 15.68 14.65 479 563 435 388 393 540 354 038 316 898 94.52 98.81 103.41 108.23 113.51 70-71 71-72 72-73 73-74 74-75 33 582 31 205 28 836 26 494 24 199 2 377 2 369 2 342 2 295 2 240 70.79 75.92 81.21 86.63 92.56 8.40 8.00 7.62 7.25 6.89 32 393 30 020 27 665 25 347 23 079 13.63 12.67 11.81 11.04 10.30 282 129 249 736 219 716 192 051 166 704 119.05 125.00 131.23 137.93 145.14 75-76 76-77 77-78 78-79 79-80 21 959 19 784 17 689 15 687 13 784 2 175 2 095 2 002 1 903 1 800 99.04 105.89 113.21 121.30 130.60 6.54 6.20 5.88 5.57 5.27 20 872 18 737 16 688 14 735 12 884 9.60 8.94 8.34 7.74 7.16 143 625 122 753 104 016 87 328 72 593 152.91 161.29 170.07 179.53 189.75 80-81 81-82 82-83 83-84 84-85 11 984 10 285 8 705 7 275 6 013 1 699 1 580 1 430 1 262 1 100 141.76 153.62 164.32 173.37 183.03 4.98 4.72 ' 4.49 4.27 4.07 11 134 9 495 7 990 6 644 5 463 6.55 6.01 5.59 5.27 4.96 59 709 48 575 39 080 31 090 24 446 200.80 211.86 222.72 234.19 245.70 85-86 86-87 87-88 88-89 89-90 4 913 3 963 3 151 2 466 1 898 950 813 685 568 463 193.38 204.93 217.30 230.39 243.84 3.86 3.67 3.49 3.32 3.16 4 438 3 557 2 808 2 182 1 667 4.67 4.38 4.10 3.84 3.60 18 983 14 545 10 988 8 180 5 998 259.07 272.48 286.53 301.20 316.46 90-91 91-92 92-93 93-94 94-95 1 435 1 066 779 560 397 369 287 219 163 120 257.10 269.58 281.01 291.52 301.68 3.02 2.89 2.77 2.66 2.55 1 251 922 669 478 337 3.39 3.21 3.06 2.93 2.81 4 331 3 080 2 158 1 489 1 Oil 331.13 346.02 361.01 375.94 392.16 95-96 96-97 97-98 98-99 99-100 277 190 129 85 54 87 61 44 31 20 312.48 325.05 340.36 359.07 381.38 2.43 2.31 2.18 2.04 1.90 234 159 107 70 44 2.70 2.58 2.44 2.28 2.12 674 440 281 174 104 411.52 432.90 458.72 490.20 526.32 100-101 101-102 102-103 103-104 104-105 34 20 11 6 3 14 9 5 3 2 407.02 435.50 466.17 498.53 532.34 1.77 1.64 1.51 1.40 1.29 27 16 9 5 2 1.96 1.80 1.65 1.51 1.38 60 33 17 8 3 564.97 609.76 662.25 714.29 775.19 105-106 1 1 567.17 1.19 1 1.26 1 840.34 100 UNITED STATES LIFE TABLES. TABLE 25 LIFE TABLE FOR FOREIGN-BORN WHITE FEMALES BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (2,257,302), AND ON THE Note. — The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on AGE INTERVAL. Of 100,000 Females Alive at Exact Age 5: Rate of Mortality per Thousand. Complete Expectation of Life. STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Females at Age 5 were Added Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- DFATTT RATT , RENT AND ALL OLDER p™*™**™ AGE INTERVALS. PEE ™<™ SAND - Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to .r+1 lx d x lOOOfe e x L* W4 T* 1000l x /T x 1 2 3 4 5 6 7 8 9 INFANT MORTAL [TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly rate. In years. Per month. Annual rate. | There are two important reasons for beginning the life tables for foreign-born whites at age 5: First, the proportion of children under 5 years oi age among foreign-born whites is so much smaller than among other classes of the population that mortality rates deduced therefrom are not reliable; second, the deaths among whites of unknown nativity must be distributed among deaths of native whites and foreign-born whites, and any error in the choice of the method of distribution would materially affect mortality rates under 5 years of age among the foreign-born whites. 1 1 LIFE TABLE FO R WHOLE RA NTGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13 -14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 1 41-42 42-43 43-44 44-45 Annual rate. In years. Per year. Annual rate. : 100 000 99 226 98 656 98 229 97 896 97 621 97 376 97 140 96 899 96 642 96 366 96 070 95 742 95 374 94 967 94 529 94 067 93 583 93 077 92 551 92 005 91 437 90 850 90 244 89 620 88 975 88 309 87 618 86 901 86 161 85 397 84 612 83 808 82 989 82 154 81 302 80 428 79 535 78 633 77 728 774 570 427 333 275 245 236 241 257 276 296 328 368 407 438 462 484 506 526 546 568 587 606 624 645 666 691 717 740 764 785 804 819 835 852 874 893 902 905 912 7.74 5.74 4.33 3.39 2.81 2.51 2.42 2.48 2.65 2.86 3.07 3.41 3.85 4.27 4.61 4.89 5.15 5.40 5.65 5.91 6.17 6.42 6.67 6.92 7.19 7.49 7.83 8.18 8.52 8.86 9.20 9.50 9.78 10.05 10.37 10.76 11.10 11.33 11.51 11.74 54.21 53.63 52.94 52.16 51.34 50.48 49.61 48.73 47.85 46.97 46.11 45.25 44.40 43.57 42.75 • 41.95 41.15 40.36 39.58 38.80 38.03 37.26 36.50 35.74 34.99 34.24 33.49 32.75 32.02 31.29 30.56 29.84 29.12 28.41 27.69 26.98 26.26 25.55 24.84 24.12 i 99 613 98 941 98 443 98 063 97 759 97 498 97 258 97 019 96 770 96 504 96 218 95 906 95 558 95 170 94 748 94 298 93 825 93 330 92 814 92 278 91 721 91 143 90 547 89 932 89 298 88 642 87 963 87 260 86 531 85 779 85 005 84 210 83 398 82 572 81 728 80 865 79 981 79 084 78 181 77 272 128.70 173.58 230.55 294.48 355.49 397.95 412.11 402.57 376.54 349.65 325.06 292.40 259.67 233.83 216.32 204.11 193.85 184.45 176.45 169.01 161.48 155.27 149.42 144.12 138.45 133.10 127.30 121.70 116.93 112.28 108.29 104.74 101.83 98.89 95.92 92.52 89.56 87.68 86.39 84.73 .5 420 915 5 321 302 5 222 361 5 123 918 5 025 855 4 928 096 4 830 598 4 733 340 4 636 321 4 539 551 4 443 047 4 346 829 4 250 923 4 155 365 4 060 195 3 965 447 3 871 149 3 777 324 3 683 994 3 591 180 3 498 902 3 407 181 3 316 038 3 225 491 3 135 559 3 046 261 2 957 619 2 869 656 2 782 396 2 695 865 2 610 086 2 5-25 081 2 440 871 2 357 473 2 274 901 2 193 173 2 112 308 2 032 327 1 953 243 1 875 062 18.45 18.65 18.89 19.17 19.48 19.81 20.16 20.52 20.90 21.29 21.69 22.10 22.52 22.95 23.39 23.84 24.30 24.78 25.27 25.77 26.30 26.84 27.40 27.98 28.58 29.21 29.86 30.53 31.23 31.96 32.72 33.51 31.34 35.20 36.11 37.06 38.08 39.14 40.26 41.46 UNITED STATES LIFE TABLES. 101 IN THE ORIGINAL REGISTRATION STATES: 1901. TABLE 25 REPORTED DEATHS IN 1900 (40,739), IN 1901 (40,923), AND IN 1902 (38,031). Michigan, and the District of Columbia. An explanation of each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the pages 29 to 49. STATIONARY FEMALE POPULATION, Rate of Complete Expectation op Life. Unaffected by Emigra ion and Immigration, which, Assuming the Mortality Rates in Column 4, AGE Op 100,000 Females Alive Mortality would result if 100,000 Females at Age 5 were Added Uniformly Throughout Each Year. INTERVAL. at Exact Age 5 : per Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime Number alive at beginning of age interval. Number dying Number dying in age interval among 1,000 Average length of life remaining to each one alive at beginning of age interval. Including only those in current Population per death in age interval. Sum of numbers in column 6 in cur- Average annual death rate per thousand of pop- between two exact ages. in age interval. alive at begin- ning of age interval. month or year of age. rent and all older age intervals. ulation in cur- rent and all older age intervals. x to x+1 [ t'X d x lOOOgr h L* li x /d x T* lOOOZz/Tz 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 76 816 921 11.99 23.40 76 355 82.90 1 797 790 42.74 46-47 75 895 946 12.47 22.68 75 422 79.73 1 721 435 44.09 47-48 74 949 994 13.26 21.96 74 452 74.90 1 646 013 45.54 48-49 73 955 1 055 14.27 21.25 73 427 69.60 1 571 561 47.06 49-50 72 900 1 113 15.26 20.55 72 343 65.00 1 498 134 48.66 50-51 71 787 1 166 16.25 19.86 71 204 61.07 1 425 791 50.35 51-53 70 621 1 226 17.36 19.18 70 008 57.10 1 354 587 52.14 52-53 69 395 1 297 18.69 18.51 68 747 53.00 1 284 579 54.02 53-54 68 098 1 383 20.30 17.85 67 407 48.74 1 215 832 56.02 54-55 66 715 1 474 22.10 17.21 65 978 44.76 1 148 425 58.11 55-56 65 241 1 577 24.18 16.59 64 453 40.87 1 082 447 60.28 56-57 63 664 1 671 26.24 15.99 62 829 37.60 1 017 994 62.54 57-58 61 993 1 734 27.98 15.41 61 126 35.25 955 165 64.89 58-59 60 259 1 774 29.43 14.84 59 372 33.47 894 039 67.39 59-60 58 485 1 812 30.99 14.27 57 579 31.78 834 667 70.08 60-61 56 673 1 846 32.56 13.71 55 750 30.20 777 088 72.94 61-62 54 827 1 884 34.38 13.16 53 885 28.60 721 338 75.99 62-63 52 943 1 944 36.72 12.61 51 971 26.73 667 453 79.30 63-64 50 999 2 018 39.56 12.07 49 990 24.77 615 482 82.85 64-65 48 981 2 083 42.53 11.55 47 940 23.01 565 492 86.58 65-66 46 898 2 144 45.72 11.04 45 826 21.37 517 552 90.58 66-67 44 754 2 201 49.18 10.54 43 654 19.83 471 726 94.88 67-68 42 553 2 251 52.90 10.06 41 428 18.40 428 072 99.40 68-69 40 302 2 293 56.89 9.59 39 155 17.08 386 644 104.28 69-70 38 009 2 330 61.30 9.14 36 844 15.81 347 489 109.41 70-71 35 679 2 362 66.20 8.71 34 498 14.61 310 645 114.81 71-72 33 317 2 376 71.34 8.29 1 32 129 13.52 276 147 120.63 72-73 30 941 2 369 76.54 7.89 29 756 12.56 244 018 126.74 73-74 28 572 2 347 82.14 7.50 27 399 11.67 214' 262 133.33 74-75 26 225 2 312 88.16 7.13 25 069 10.84 186 863 140.25 75-76 23 913 2 261 94.56 6.77 22 783 10.08 161 794 147.71 76-77 21 652 2 195 101.37 6.42 20 555 9.36 139 Oil 155.76 77-78 19 457 2 114 108.64 6.09 18 400 8.70 118 456 164.20 78-79 17 343 2 018 116.41 5.77 16 334 8.09 100 056 173.31 79-80 15 325 1 912 124.73 5.46 14 369 7.52 83 722 183.15 80-81 13 413 1 792 133.64 5.17 12 517 6.98 69 353 193.42 81-82 11 621 1 665 143.21 4.89 10 788 6.48 56 836 204.50 82-83 9 956 I 527 153.45 4.63 9 193 6.02 46 048 215.98 83-84 8 429 1 386 164.37 4.37 7 736 5.58 36 855 228.83 84-85 7 043 1 239 175.93 4.13 6 424 5.18 29 119 242.13 85-86 5 804 1 091 188.04 3.91 5 258 4.82 22 695 255.75 86-87 4 713 946 200.60 3.70 4 240 4.49 17 437 270.27 87-88 3 767 804 213.49 3.50 3 365 4.18 13 197 285.71 88-89 2 963 671 226.64 3.32 2 627 3.91 9 832 301.20 89-90 2 292 551 240.05 3.14 2 017 3.67 7 205 318.47 90-91 1 741 441 253.76 2.98 1 521 3.44 5 188 335.57 91-92 1 300 349 267.88 2.82 1 125 3.23 3 667 354.61 92-93 951 268 282.55 2.67 817 3.04 2 542 374.53 93-94 683 204 297.94 2.53 581 2.86 1 725 395.26 94-95 479 150 314.23 2.39 404 2.68 1 144 418.41 95-96 329 109 331.52 2.26 274 2.52 740 442.48 96-97 220 77 349.96 2.13 181 2.36 466 469.48 97-98 143 53 369.45 2.00 116 2.21 285 500.00 98-99 90 35 390.04 1.89 72 2.06 169 529.10 99-100 55 23 411.80 1.77 44 1.93 97 564.97 100-101 32 14 434.82 1.66 25 1.80 53 602.41 101-102 18 8 459.15 1.56 14 1.68 28 641.03 102-103 10 5 484.88 1.46 7 1.56 14 684.93 103-104 5 3 512.09 1.37 4 1.45 7 729.93 104-105 2 1 540.88 1.27 2 1.35 3 787.40 105-106 1 1 571.35 1.19 1 1.25 1 840.34 102 UNITED STATES LIFE TABLES. TABLE 26 LIFE TABLE FOR FOREIGN-BORN WHITE FEMALES BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (2,833,324), AND ON THE Note. — The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, tables, are given on AGE INTERVAL Period of lifetime between two exact ages. x to x-\-l Of 100,000 Females Alive At Exact Age 5: Number alive at beginning of age interval. Number dying in age interval. Rate op Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. 1000^ Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. ex STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Females at Age 5 were Added Uniformly Throughout Each Tear. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. Jj x MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Population per death in age interval. f^x/dx Sum of numbers in column 6 in. cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals lOOOk/Ts INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly rate. In years. Per month. Annual rate. There are two important reasons for beginning the life tables for foreign-born whites at age 5: First, the proportion of children under 5 years of age among foreign-born whites is so much smaller than among other classes of the population that mortality rates deduced therefrom are not reliable; second, the deaths among whites of unknown nativity must be distributed among deaths of native whites and foreign-born whites, and any error in the choice of the method of distribution would materially 'affect mortality rates under 5 years of age among the foreign-born whites. LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. -1 1 -2 2 -3 n -4 4 -5 a -6 6 -7 7 -8 8 -9 9 -10 10 -11 11 -12 12 -13 13 -14 14 -15 15 -16 16 -17 17 -18 18 ■ 19 19 -20 •20 • 21 '21 -22 22 -23 '23 .24 21 ■25 25 •26 26 -27 27 28 28 •29 29 30 30 31 Ml 32 ■■vi 33 .').'!■ 34 34- 35 35- 36 36- 37 37- 38 38- «!> 39- 40 40- 41 41- 42 42- 43 43- 44 44- 15 100 000 99 502 99 106 98 787 98 524 98 298 98 093 97 894 97 689 97 471 97 233 96 974 96 689 96 382 96 056 95 718 95 369 95 006 94 625 94 220 93 794 93 345 92 876 92 392 91 895 91 380 90 846 90 290 89 708 89 103 88 473 87 820 87 146 86 459 85 759 85 046 84 319 83 573 82 798 81 989 498 396 319 263 226 205 199 205 218 238 259 285 307 326 338 349 363 381 405 426 449 469 484 497 515 534 556 582 605 630 653 674 687 700 713 727 746 775 809 845 Annual rate. 4.98 3.97 3.22 2.67 2.30 2.09 2.03 2.09 2.24 2.44 2.67 2.94 3.18 3.37 3.53 3.65 3.80 4.02 4.28 4.53 4.79 5.02 5.21 5.39 5.60 5.84 6.13 6.44 6.75 7.06 7.39 7.67 7.89 8.09 8.32 8.55 8.85 9.27 9.77 10.31 In years. 56.30 55.58 54.80 53.98 53.12 52.24 51.35 50.45 49.56 48.67 47.79 46.91 46.05 45.19 44.35 43.50 42.66 41.82 40.99 40.16 39.34 38.53 37.72 36.91 36.11 35.31 34.52 33.73 32.94 32.16 31.39 30.62 29.85 29.08 28.32 27.55 26.78 26.02 25.26 24.50 99 751 99 304 98 947 98 656 93 411 98 195 97 993 97 792 97 580 97 352 97 103 96 831 96 535 96 219 95 887 95 543 95 188 94 816 94 423 94 007 93 569 93 110 92 634 92 144 91 637 91 113 90 568 89 999 89 405 88 788 88 146 87 483 86 802 86 109 85 402 84 682 83 946 83 185 82 394 81 566 Per year. 200.30 250.77 310.18 375.12 435.45 479.00 492.43 477.03 447.61 409.04 374.92 339.76 314.45 295.15 283.69 273.76 262.23 248.86 233.14 220.67 208.39 198.53 191.39 185.40 177.94 170.62 162.89 154.64 147.78 140.93 134.99 129.80 126.35 123.01 119.78 116.48 112.53 107.34 101.85 96.53 5 630 432 5 530 681 5 431 377 5 332 430 5 233 774 5 135 363 5 037 168 4 939 175 4 841 383 4 743 803 4 646 451 4 549 348 4 452 517 4 355 982 4 259 763 4 163 876 4 068 333 3 973 145 3 878 329 3 783 906 3 689 899 3 596 330 3 503 220 3 410 586 3 318 442 3 226 805 3 135 692 3 045 124 2 955 125 2 865 720 2 776 932 2 688 786 2 601 303 2 514 501 2 428 392 2 342 990 2 258 308 2 174 362 2 091 177 2 008 783 Annual rate. 17.76 17.99 18.25 18.53 18.83 19.14 19.47 19.82 20.18 20.55 20.92 21.32 21.72 22.13 22.55 22.99 23.44 23.91 24.40 24.90 25.95 26.51 27.09 27.69 28.32 28.97 29.65 30.36 31.09 31.86 32.66 33.50 34.39 35.31 36.30 37.34 38.43 39.59 40.82 UNITED STATES LIFE TABLES. 103 IN THE ORIGINAL REGISTRATION STATES: 1910, TABLE 26 REPORTED DEATHS IN 1909 (43,756), IN 1910 (46,682), AND IN 1911 (46,854). Michigan, and the District of Columbia. An explanation of each column of the life tables is given on pages 25 to 29, and illustrative examples, showing how to use the STATIONARY FEMALE POPULATION, AGE INTERVAL. Of 100,000 Females Alive at Exact Age 5: Rate of Mortality per Thousand. Complete Expectation of Life. Unaffected hy Emigration and Immigration, which. Assuming the Mortality Rales in Column 4, would result if 100,000 Females at Age 5 were Added Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x-fl lx d x 1000 9x e x L* W^z Tr. loooyT, 1 2 3 4 5 6 7 8 9 LIFE TABLE FOE WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 46-47 47-48 48-49 49-50 81 144 80 260 79 336 78 375 v 77 374 884 924 961 1 001 1 048 10.90 11.50 12.12 12.77 13.54 23.75 23.01 22.27 21.54 20.81 80 702 79 798 78 856 77 875 76 850 91.29 86.36 82.06 77.80 73.33 1 927 217 1 846 515 1 766 717 1 687 861 1 609 986 42.11 43.46 44.90 46.43 48.05 50-51 51-52 52-53 53-54 54-55 76 326 75 225 74 063 72 830 71 515 1 101 1 162 1 233 1 315 1 404 14.42 15.45 16.65 18.05 19.64 20.09 19.37 18.67 17.98 17.30 75 776 74 644 73 447 72 173 70 813 68.82 64.24 69.57 54.88 50.44 1 533 136 1 457 360 1 382 716 1 309 269 1 237 096 49.78 51.63 53.56 55.62 57.80 55-56 56-57 57-58 58-59 59-60 70 111 68 607 66 995 65 272 63 447 1 504 1 612 1 723 1 825 1 916 21.44 23.50 25.72 27.96 30.21 16.63 15.99 15.36 14.75 14.16 69 359 67 801 66 134 64 360 62 489 46.12 42.06 38.38 35.27 32.61 1 166 283 1 096 924 1 029 123 962 989 898 629 60.13 62.54 65.10 67.80 70.62 60-61 61-62 62-63 63-64 64-65 61 531 59 536 57 464 55 307 53 059 1 995 2 072 2 157 2 248 2 328 32.43 34.79 37.53 40.65 43.88 13.59 13.03 12.48 11.95 11.43 60 533 58 500 56 386 54 183 51 895 30.34 28.23 26.14 24.10 22.29 836 140 775 607 717 107 660 721 606 538 73.58 76.75 80.13 83.68 87.49 65-66 66-67 67-68 68-69 69-70 50 731 48 333 45 875 43 371 40 830 2 398 2 458 2 504 2 541 2 571 47.27 50.84 54.59 58.58 62.97 10.93 10.45 9.98 9.53 9.09 49 532 47 104 44 623 42 101 39 545 20.66 19.16 17.82 16.57 15.38 554 643 505 111 458 007 413 384 371 283 91.49 95.69 100.20 104.93 110.01 70-71 71-72 72-73" 73-74 74-75 38 259 35 663 33 060 30 481 27 953 2 596 2 603 2 579 2 528 2 469 67.87 72.97 78.00 82.96 88.33 8.67 8.27 7.88 7.50 7.13 36 961 34 361 31 771 29 217 26 718 14.24 13.20 12.32 11.56 10.82 331 738 294 777 260 416 228 645 199 428 115.34 120.92 126.90 133.33 140.25 75-76 76-77 77-78 78-79 79-80 25 484 23 087 20 774 18 553 16 425 2 397 2 313 2 221 2 128 2 031 94.06 100.17 106.93 114.69 123.68 6.78 6.43 6.09 5.76 5.44 24 285 21 931 19 664 17 489 15 409 10.13 9.48 8.85 8.22 7.59 172 710 148 425 126 494 106 830 89 341 147.49 155.52 164.20 173.61 183.82 80-81 81-82 82-83 83-84 84-85 14 394 12 455 10 628 8 951 7 455 1 939 1 827 1 677 1 496 1 325 134.70 146.71 157.75 167.18 177.63 5.14 4.86 4.61 4.38 4.16 13 424 11 541 9 789 8 203 6 793 6.92 6.32 5.84 5.48 5.13 73 932 60 508 48 967 39 178 30 975 194.55 205.76 216.92 228.31 240.38 85-86 86-87 87-88 88-89 89-90 6 130 4 974 3 979 3 135 2 431 1 156 995 844 704 580 188.64 200.06 212.00 224.72 238.34 3.95 3.75 3.56 3.38 3.22 5 552 4 476 3 557 2 783 2 141 4.80 4.50 4.22 3.95 3.70 24 182 18 630 14 154 10 597 7 814 253.16 266.67 280.90 295.86 310.56 90-91 91-92 92-93 93-94 94-95 1 851 1 384 1 014 729 515 467 370 285 214 156 252.74 267.30 281.08 293.04 302.46 3.07 2.93 2.82 2.73 2.65 1 617 1 199 871 622 437 3.46 3.24 3.06 2.91 2.81 5 673 4 056 2 857 1 986 1 364 325.73 341.30 354.61 366.30 377.36 95-96 96-97 97-98 98-99 99-100 359 248 170 116 78 111 78 54 38 26 309.20 314.04 318.51 324.66 334.41 2.58 2.51 2.44 2.34 2.23 304 209 143 97 65 2.73 2.68 2.64 2.58 2.49 927 623 414 271 174 387.60 398.41 409.84 427.35 448.43 100-101 101-102 102-103 103-104 104-105 52 34 21 13 7 18 13 8 6 3 349.18 369.60 395.51 425.99 459.78 2.10 1.95 1.81 1.66 1.52 43 28 17 10 6 2.36 2.21 2.03 1.85 1.67 109 66 38 21 11 476.19 512.82 552.49 602.41 657.89 105-106 106-107 107-108 4 2 1 2 1 1 495.79 534.15 572.39 1.40 1.28 1.17 3 1 1 1.52 1.37 1.25 5 2 1 714.29 781.25 854.70 104 UNITED STATES LIFE TABLES. TABLE. 27 LIFE TABLE FOR WHITE MALES IN CITIES OF BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (5,314,456), AND ON THE Note.— The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, itants in 1910 for the years 1910 and 1911. An explanation of each column of the life tables is given on AGE INTERVAL. Period of lifetime between two exact ages. x to x+1 Of 100,000 Males Born Alive: Number alive at beginning of age interval. Number dying in age interval Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. lOOOg^ Complete Expectation of Life. of life remaining to each one alive at beginning of age interval. &x STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which. Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. Population per death in age interval. L^/Ua; POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. Tx INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. ioooi x jt x Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 100 000 »5 166 93 826 92 579 91 415 90 331 S9 327 MS 404 87 561 x<; 795 86 11.2 85 476 340 247 164 084 004 923 843 766 693 626 573 Monthly rate. 48.34 14.08 13.29 12.58 11.85 11.11 10.33 9.55 8.74 7.98 7.28 6.71 In years. 43.97 46.12 46.69 47.24 47.75 48.24 48.70 49.13 49.52 49.87 50.19 50.47 8 031 7 875 7 767 7 666 7 573 7 486 405 332 265 204 149 099 Per month. 19.92 70.56 74.76 79.08 83.88 89.52 96.24 104.40 113.76 124.80 137.04 148.68 4 396 4 388 4 380 4 373 4 365 4 357 4 350 4 343 4 335 4 328 4 321 4 314 807 776 901 134 468 895 409 004 672 407 203 054 Annual rate. 22.74 21.68 21.42 21.17 20.94 20.73 20.53 20.35 20.19 20.05 19.92 19.81 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 100 000 84 903 81 317 79 691 78 652 77 872 77 293 76 820 76 437 76 124 75 863 75 638 75 430 75 226 75 010 74 770 74 497 74 179 73 818 73 420 72 993 72 533 72 042 71 526 70 991 70 442 69 879 69 304 68 716 68 112 67 491 66 852 66 195 65 520 64 829 64 123 63 402 62 666 61 914 61 142 60 347 59 530 58 687 57 821 56 941 Annual rate 15 097 150.97 3 586 42.23 1 626 19.99 1 039 13.04 780 9.92 579 7.44 473 6.11 383 4.99 313 4.10 261 3.42 225 2.97 208 2.74 204 2.71 216 2.87 240 3.19 273 3.66 318 4.26 361 4.87 398 5.39 427 5.83 460 6.29 491 6.77 516 7.17 535 7.48 549 7.74 563 7.99 575 8.23 588 8.49 604 8.79 621 9.12 639 9.47 657 9.83 675 10.19 691 10.55 706 10.89 721 11.25 736 11.61 752 12.01 772 12.47 795 12.99 817 13.54 843 14.17 866 14.75 880 15.22 890 15.64 In years. 43.97 50.73 51.95 52.00 51.68 51.19 50.57 49.88 49.13 48.33 47.49 46.63 45.76 44.88 44.01 43.15 42.30 41.48 40.68 39.90 39.13 38.38 37.64 36.90 36.18 35.46 34.74 31.02 33.31 32.60 31.89 31.19 30.50 29.81 29.12 28.44 27.75 27.07 26.40 25.72 25.06 24.39 23.74 23.08 22.43 89 852 82 787 80 456 79 151 78 247 77 582 77 056 7« 629 76 281 7.5 994 75 751 75 534 75 328 75 118 71 890 74 633 74 338 73 998 73 619 73 207 72 763 72 288 71 784 71 258 70 716 70 160 «!> 591 69 010 68 414 67 801 67 171 66 523 65 858 65 175 64 476 63 763 63 034 62 290 61 528 60 744 59 939 59 108 58 254 57 381 56 496 Per year. 5.95 23.09 49.48 76.18 100.32 133.99 162.91 200.08 243.71 291.16 336.67 363.14 369.25 347.77 312.04 273.38 233.77 204.98 184.97 171.44 158.18 147.23 139.12 133.19 128.81 124.62 121.03 117.36 113.27 109.18 105.12 101.25 97.57 94.32 91.33 88.44 85.64 82.83 79.70 76.41 73.36 70.12 67.27 65.21 63.48 4 396 807 4 306 955 4 224 168 4 143 712 1 064 561 3 986 314 3 908 732 3 831 676 3 755 047 3 678 766 3 602 772 3 527 021 3 451 487 3 376 159 3 301 041 3 226 151 3 151 518 3 077 180 3 003 182 2 929 563 2 856 356 2 783 593 •2 711 305 2 639 521 2 568 263 2 497 547 o 427 387 2 357 796 .» 288 786 2 220 372 2 152 571 2 085 400 2 018 877 1 953 019 1 887 844 1 823 368 1 759 605 1 696 571 1 634 281 1 572 753 1 512 009 1 452 070 1 392 962 1 334 708 1 277 327 Annual rate. 22.74 19.71 19.25 19.23 19.35 19.54 19.77 20.05 20.35 20.69 21.06 21.45 21.85 22.28 22.72 23.17 23.64 24.11 24.58 25.06 25.56 26.06 26.57 27.10 27.64 28.20 28.79 29.39 30.02 30.67 31.36 32.06 32.79 33.55 34.34 35.16 36.04 36.94 37.88 38.88 39.90 41.00 42.12 43.33 44.58 UNITED STATES LIFE TABLES. 105 THE ORIGINAL REGISTRATION STATES: 1901. TABLE 27 REPORTED DEATHS IN 1900 (101,480), IN 1901 (100,967), AND IN 1902 (99,631). Michigan, and the District of Columbia. The term "cities " means municipalities of 8,000 or more inhabitants in 1900 for the year 1909, and of 10,000 or more inhab- pages 25 to 29, and illustrative examples, showing how to use the tables, are given on pages 29 to 49. AGE INTERVAL. Period of lifetime between two exact ages. X to X-\-l Op 100,000 Males Born Alive: Number alive at beginning of age interval. Number dying in age interval. Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. 1000g x Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which. Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OP VITALITY. Population per death in age interval. W4 POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. % DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. lOOOZz/Tz LIFE TABLE FOB WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. 45-46 46-47 47-48 48-49 49-50 50-51 51-52 52-53 53-54 54-55 55-56 56-57 57-58 58-59 59-60 60-61 61-62 62-63 63-64 64-65 65-66 66-67 67-68 68-69 69-70 70-71 71-72 72-73 73-74 74-75 75-76 76-77 77-78 78-79 79-80 80-81 81-82 82-83 83-84 84-85 85-86 86-87 87-88 88-89 89-90 90-91 91-92 92-93 93-94 94-95 95-96 96-97 97-98 98-99 99-100 100-101 101-102 102-103 103-104 56 051 55 148 5+ 230 53 290 52 320 51 312 50 270 49 195 48 084 46 929 45 721 44 456 43 125 41 733 40 299 38 840 37 358 35 861 34 345 32 795 31 201 29 564 27 8H5 26 176 24 464 22 774 21 no 19 4H1 17 888 16 323 14 782 13 276 11 809 10 398 9 064 7 825 6 679 5 «a« 4 673 3 827 3 091 2 459 1 923 1 477 1 112 820 591 416 285 190 123 77 4<; 27 15 8 4 2 1 903 918 940 970 1 008 1 042 1 075 1 111 1 155 1 208 1 265 1 331 1 392 1 434 1 459 1 482 1 497 1 516 1 550 1 594 1 637 1 679 1 709 1 712 1 690 1 664 1 629 1 593 1 565 1 541 1 506 1 467 1 411 1 334 1 239 1 146 1 053 953 846 736 632 536 446 365 292 229 175 131 95 67 46 31 19 12 7 Annual rate. 16.12 16.64 17.32 18.22 19.25 20.31 21.39 22.59 24.02 25.74 27.68 29.93 32.28 34.37 36.21 38.15 40.08 42.28 45.11 48.63 52.45 56.80 61.30 65.39 69.09 73.08 77.17 81.77 87.48 94.37 101.90 110.48 119.53 128.26 136.74 146.45 157.63 169.38 181.00 192.41 204.53 217.99 232.05 246.90 262.57 279.06 296.38 314.55 333.61 353.60 374.58 396.61 419.70 443.95 469.35 495.90 523.63 552.55 582.65 In years.. 21.78 21.13 20.48 19.83 19.19 18.56 17.93 17.31 16.70 16.10 15.51 14.94 14.38 13.85 13.32 12.80 12.29 11.78 11.28 10.79 10.32 9.86 9.42 9.01 8.60 8.20 7.81 7.42 7.04 6.66 6.31 5.97 5.65 5.34 5.06 4.78 4.51 4.26 4.03 3.81 3.60 3.39 3.20 3.02 2.84 2.68 2.52 2.37 2.23 2.10 1.97 1.85 1.73 1.62 1.52 1.42 1.33 1.24 1.16 55 599 54 689 53 760 52 805 51 816 50 791 4 9 733 4S 640 47 507 46 325 45 089 43 791 42 429 41 016 39 569 38 099 36 609 35 103 33 570 31 998 30 382 28 725 ■n 030 25 320 23 619 ?,\ 942 20 295 IK 684 17 105 15 553 14 029 12 543 11 104 9 731 8 445 7 252 6 152 5 150 4 250 3 459 2 775 2 191 1 700 1 294 966 706 504 351 238 156 100 62 37 21 11 6 3 1 1 Per year. 61.57 59.57 57.19 54.44 51.40 48.74 46.26 43.78 41.13 38.35 35.64 32.90 30.48 28.60 27.12 25.71 24.45 23.16 21.66 20.07 18.56 17.11 15.82 14.79 13.98 13.19 12.46 11.73 10.93 10.09 9.32 8.55 7.87 7.29 6.82 6.33 5.84 5.40 5.02 4.70 4.39 4.09 3.81 3.55 3.31 3.08 2.87 2.68 2.50 2.33 2.17 2.02 1.88 1.75 1.63 1.52 1.41 1.31 220 831 165 232 110 543 056 783 003 978 952 162 901 371 851 638 802 998 755 491 709 166 664 077 620 286 577 857 536 841 497 272 459 173 422 564 387 461 353 891 321 893 291 511 262 786 235 756 210 436 186 817 164 875 144 580 125 896 108 791 93 238 79 209 66 666 55 562 45 831 37 386 30 134 23 982 18 832 14 582 11 123 8 348 6 157 4 457 3 163 2 197 1 491 987 636 398 242 142 80 43 22 11 5 2 1 Annual rate. 45.91 47.33 48.83 50.43 52.11 53.88 55.77 57.77 59.88 62.11 64.47 66.93 69.54 72.20 75.08 78.13 81.37 84.89 88.65 92.68 96.90 101.42 106.16 110.99 116.28 121.95 128.04 134.77 142.05 150.15 158.48 167.50 176.99 187.27 197.63 209.21 221.73 234.74 248.14 262.47 277.78 294.99 312.50 331.13 352.11 373.13 396.83 421.94 448.43 476.19 507.61 540.54 578.03 617.28 657.89 704.23 751.88 806.45 862.07 106 UNITED STATES LIFE TABLES. TABLE 28 LIFE TABLE FOR WHITE MALES IN CITIES OF BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (7,211,022>, AND ON THE Note. — The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, itants in 1910 for the years 1910 and 1911. An explanation ol each column of the life tables is given on AGE INTERVAL. Period of lifetime between two exact ages. x to x+1 Of 100,000 Males Born Alive: Number alive at beginning of age interval. Number dying in age interval d x Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. lOOOfo Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. «i STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which. Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Tear. POPULATION IN CUEEENT AGE INTEEVAL. Including only those in current month or year of age. Le MEASTJEE OF VITALITY. POPULATION IN CUE- EENT AND ALL OLDEE AGE INTEEVALS. Population per death in age interval. L x /aa: Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH EATE PEE THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. 1000l x /T x INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 100 000 95 031 93 661 92 570 91 «29 90 794 90 039 89 345 88 705 88 119 87 583 87 086 4 969 1 370 1 091 941 835 755 694 640 586 537 496 466 Monthly rate. 49.69 14.42 11.65 10.17 9.11 8.32 7.71 7.15 6.62 6.09 5.66. 5.36 In years. 47.32 49.71 50.35 50.86 51.30 51.69 52.04 52.36 52.65 52.92 53.16 53.38 8 023 7 862 7 760 7 675 7 601 7 535 474 419 368 321 278 238 Per month. 19.32 68.88 85.32 97.92 109.20 119.76 129.24 139.08 150.84 163.56 176.04 186.36 732 724 716 708 700 693 685 678 670 663 656 648 068 045 183 423 748 147 612 138 719 351 030 752 Annual rate. 21.13 20.12 19.86 19.66 19.49 19.35 19.22 19.10 18.99 18.90 18.81 18.73 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. -1 1 -2 2 -3 3 -4 4 -5 5 -6 6 -7 7 -8 8 -9 9 -10 10 -11 11 -12 12 -13 13 -14 14 -15 15 -16 16 -17 17 -18 18 •19 19 ■ 20 20 -21 21 -22 22 ■23 23 ■ 24 24 ■ 25 25 ■26 26 • 27 •27 ■28 28 ■ 29 29 ■30 .-so 31 31 32 32 33 33 34 34 35 35 36 36- 37 37- 38 38- 39 39- 40 40- 41 11 - 42 42- 43 43- 44 44- 45 100 000 80 620 83 753 83 500 81 737 81 185 80 738 80 363 80 049 79 783 79 553 79 348 79 155 78 965 78 768 78 557 78 327 78 072 77 786 77 469 77 122 76 741 76 338 75 923 75 505 75 080 74 650 71 210 73 754 73 277 72 776 72 251 71 696 71 110 70 493 (»!> 844 69 165 <>8 457 67 725 66 970 06 193 65 392 64 567 63 715 62 836 13 380 2 867 1 253 763 552 447 375 314 266 230 205 193 190 197 211 230 265 286 317 347 381 403 415 418 425 430 440 456 477 501 525 555 586 617 649 679 708 732 755 777 801 825 852 879 908 Annual rate. 133.80 33.09 14.96 9.25 6.75 "" 5.51 4.64 3.91 3.32 2.88 2.59 2.43 2.40 2.49 2.68 2.93 3.26 3.66 4.07 4.49 4.93 5.26 5.43 5.52 5.62 5.73 5.89 6.14 6.48 6.83 7.22 7.68 8.17 8.68 9.20 9.73 10.24 10.69 11.14 11.61 12.10 12.62 13.19 13.80 14.46 In years. 47.32 53.58 54.41 54.22 53.73 53.09 52.38 51.62 50.82 49.99 49.13 48.26 47.37 46.49 45.60 44.72 43.85 43.00 42.15 41.32 40.51 39.70 38.91 38.12 37.33 36.54 35.75 34.95 34.17 33.39 32.61 31.85 31.09 30.34 29.60 28.87 28.15 27.44 26.73 26.02 25.32 24.63 23.94 23.25 22.57 90 554 84 929 83 089 82 103 81 450 80 961 80 550 80 206 79 916 79 668 79 450 79 251. 79 060 78 866 78 663 78 +42 78 199 77 929 77 628 77 296 76 932 76 540 76 131 75 714 75 292 74 865 74 430 73 982 73 516 73 026 72 513 71 973 71 403 70 801 70 169 69 505 68 811 68 091 67 348 66 582 65 793 64 979 64 141 63 276 62 382 Per year. 6.77 29.62 66.31 107.61 147.55 181.12 214.80 255.43 300.44 346.38 387.56 410.63 416.11 400.34 372.81 341.05 306.66 272.48 244.88 222.76 201.92 189.93 183.45 181.13 177.16 174.10 169.16 162.24 154.12 145.76 138.12 129.68 121.85 114.75 108.12 102.36 97.19 93.02 89.20 85.69 82.14 78.76 75.28 71.99 68.70 Annual rate 4 732 068 21.13 4 641 514 18.66 4 556 585 18.38 4 473 496 18.44 4 391 393 18.61 4 309 943 18.84 4 238 982 19.09 4 148 432 19.37 4 068 226 19.68 3 988 310 20.00 3 908 642 20.35 3 829 192 20.72 3 749 941 21.11 3 670 881 21.51 3 592 015 21.93 3 513 352 22.36 3 434 910 22.81 3 356 711 23.26 3 278 782 23.72 3 201 154 24.20 3 123 858 24.69 3 046 926 25.19 2 970 386 25.70 2 894 255 26.23 2 818 541 26.79 2 743 249 27.37 2 668 384 27.97 2 593 954 28.61 2 519 972 29.27 2 446 456 29.95 2 373 430 30.67 2 300 917 31.40 2 228 944 32.16 2 157 541 32.96 2 086 740 33.78 2 016 571 34.64 1 947 066 35.52 1 878 255 36.44 1 810 164 37.41 1 742 816 38.43 1 676 234 39.49 1 610 441 40.60 1 545 462 41.77 1 481 321 43.01 1 418 045 44.31 UNITED STATES LIFE TABLES. 107 THE ORIGINAL REGISTRATION STATES: 1910. TABLE 28 REPORTED DEATHS IN 1909 (114,784), IN 1910 (123,533), AND IN 1911 (120,984). Michigan, and the District of Columbia. The term "cities " means municipalities of 8,000 or more inhabitants in 1900 for the year 1909, and of 10,000 or more inhab- pages 25 to 29, and illustrative examples, showing how to use the tables, are given on pages 29 to 49. AGE INTERVAL. Op 100,000 Males Born Alive : Rate op Mortality per Thousand. Complete Expectation of Life. STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION IN CUREENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to X+l lx d x 1000 9a: e x L* Jj x /d x T x lOOOZJTz 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALE OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 46-47 47-48 48-49 49-50 61 928 60 987 60 014 59 010 57 976 941 973 1 004 1 034 1 063 15.18 15.96 16.74 17.52 18.34 21.89 21.22 20.56 19.90 19.24 61 457 60 501 59 512 58 493 57 444 65.31 62.18 59.27 56.57 54.04 1 355 663 1 294 206 1 233 705 1 174 193 1 115 700 45.68 47.13 48.64 50.25 51.98 50-51 51-52 52-53 53-54 54-55 56 913 55 822 54 698 53 529 52 300 1 091 1 124 1 169 1 229 1 296 19.17 20.13 21.38 22.96 24.77 18.59 17.95 17.31 16.67 16.05 56 368 55 260 54 114 52 915 51 652 51.67 49.16 46.29 43.06 39.85 1 058 256 1 001 888 946 628 892 514 839 599 53.79 55.71 57.77 59.99 62.31 55-56 56-57 57-58 58-59 59-60 51 004 49 631 48 176 46 654 45 080 1 373 1 455 1 522 1 574 1 626 26.93 29.31 31.60 33.74 36.07 15.45 14.86 14.30 13.75 13.21 50 317 48 903 47 415 45 867 44 267 36.65 33.61 31.15 29.14 27.22 787 947 737 630 688 727 641 312 595 445 64.72 67.29 69.93 72.73 75.70 60-61 61-62 62-63 63-64 64-65 43 454 41 781 40 064 38 302 36 498 1 373 1 717 1 762 1 804 1 837 38.51 41.10 43.96 47.11 50.34 12.68 12.17 11.67 11.19 10.71 42 617 40 922 39 183 37 400 35 579 25.47 23.83 22.24 20.73 19.37 551 178 508 561 467 639 428 456 391 056 78.86 82.17 85.69 89.37 93.37 65-66 66-67 67-68 68-69 69-70 34 661 32 801 30 926 29 042 27 154 1 860 1 875 1 884 1 888 1 885 53.66 57.15 60.91 65.01 69.42 10.26 9.81 9.37 8.95 8.54 33 731 31 864 29 984 28 098 26 212 18.13 16.99 15.92 14.88 13.91 355 477 321 746 289 882 259 898 231 800 97.47 101.94 106.72 111.73 117.10 70-71 71-72 72-73 73-74 74-75 25 269 23 394 21 537 19 705 17 910 1 875 1 857 1 832 1 795 1 752 74.20 79.41 85.03 91.10 97.83 8.14 7.75 7.37 7.01 6.66 24 332 22 465 20 621 18 808 17 034 12.98 12.10 11.26 10.48 9.72 205 588 181 256 158 791 138 170 119 362 122.85 129.03 135.69 142.65 150.15 75-76 76-77 77-78 78-79 79-80 16 158 14 454 12 816 11 266 9 820 1 704 1 638 1 550 1 446 1 342 105.46 113.33 120.93 128.38 136.67 6.33 6.02 5.73 5.45 5.17 15 306 13 635 12 041 10 543 9 149 8.98 8.32 7.77 7.29 6.82 102 328 87 022 73 387 61 346 50 803 157.98 166.11 174.52 183.49 193.42 80-81 81-82 82-83 83-84 84-85 8 478 7 241 6 113 5 097 4 197 1 237 1 128 1 016 900 785 145.88 155.81 166.14 176.56 187.15 4.91 4.67 4.44 4.22 4.02 7 859 6 677 5 605 4 647 3 804 6.36 5.92 5.52 5.16 4.84 41 654 33 795 27 118 21 513 16 866 203.67 214.13 225.23 236.97 248.76 85-86 86-87 87-88 88-89 89-90 3 412 2 738 2 167 1 690 1 297 674 571 477 393 317 197.41 208.55 220.24 232.33 244.59 3.83 3.65 3.48 3.32 3.17 3 075 2 453 1 929 1 494 1 139 4.57 4.30 4.04 3.80 3.59 13 062 9 987 '7 534 5 605 4 111 261.10 273.97 287.36 301.20 315.46 90-91 91-92 92-93 93-94 94-95 980 728 533 385 274 252 195 148 111 82 256.62 267.99 278.57 288.57 298.67 3.03 2.91 2.79 2.67 2.56 854 631 459 329 233 3.40 3.23 3.09 2.97 2.85 2 972 2 118 1 487 1 028 699 330.03 343.64 358.42 374.53 390.63 95-96 96-97 97-98 98-99 99-100 192 132 90 59 38 60 42 31 21 15 309.87 323.37 340.17 360.88 385.57 2.43 2.30 2.16 2.01 1.87 162 111 74 48 31 2.73 2.59 2.44 2.27 2.09 466 304 193 119 71 411.52 434.78 462.96 497.51 534.76 100-101 101-102 102-103 103-104 104-105 23 14 8 4 2 9 6 4 2 1 413.88 445.10 478.40 513.10 548.54 1.72 1.59 1.46 1.35 1.24 18 11 6 3 1 1.92 1.75 1.59 1.45 1.32 40 22 11 5 2 581.40 628.93 684.93 740.74 806.45 105-106 1 1 584.78 1.15 1 1.21 1 869.57 _* 108 UNITED STATES LIFE TABLES. TABLE 29 LIFE TABLE FOR WHITE FEMALES IN CITIES BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (5,488,482), AND ON THE Note.— The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, itants in 1910 lor the years 1910 and 1911. An explanation of each column of the life tables is given AGE INTERVAL Period of lifetime between two exact ages. x to x-\-\ Of 100,000 Females Bokn Alive: Number alive at beginning of age interval. Number dying in age interval dx Rate op Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. 1000 fo Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. ex STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Tear. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Population per death in age interval. L x /c£e Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. I000l x /T x INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 00 OOO 96 298 »a 17+ 94 125 93 1+5 92 233 91 386 9(1 601 89 876 89 206 88 586 ss 007 Monthly rate. 3 702 37.02 1 124 11.67 1 0+9 11.03 980 10.40 912 9.80 847 9.18 785 8.59 725 8.01 670 7.46 620 6.95 579 6.54 552 6.27 In years. 47.90 49.66 50.16 50.64 51.08 51.51 51.90 52.27 52.60 52.92 53.20 53.47 8 102 7 978 7 887 7 803 7 724 7 651 583 520 462 408 358 311 Per month. 26.28 85.20 90.24 95.52 101.64 108.36 115.92 124.44 133.68 143.40 152.52 158.88 7£0 067 781 965 773 987 766 100 758 297 750 573 742 922 735 339 727 819 720 357 712 9+9 705 591 Annual rate. 20.88 20.14 19.94 19.75 19.58 19.41 19.27 19.13 19.01 18.90 18.80 18.70 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 +3-44 44-45 100 000 87 455 84 117 82 589 81 583 80 805 80 208 79 751 79 400 79 122 78 89+ 78 692 78 500 78 303 78 092 77 859 77 597 77 299 76 964 76 601 76 213 75 801 75 366 74 910 74 +32 73 933 73 + 14 72 874 72 316 71 7+5 71 165 70 574 69 973 69 361 68 7+1 68 115 67 483 66 847 66 20+ 65 547 64 871 64 176 63 +56 62 717 61 967 Annual rate 12 5+5 125.45 3 338 38.17 1 528 18.17 1 006 12.18 778 9.53 597 7.39 457 5.70 351 4.41 278 3.49 228 2.89 202 2.55 192 2.44 197 2.51 211 2.70 233 2.97 262 3.36 298 3.85 335 4.33 363 4.72 388 5.06 +12 5.+0 +35 5.74 456 6.06 +78 6.38 499 6.70 519 7.03 540 7.36 558 7.66 571 7.89 580 8.09 591 8.30 601 8.53 612 8.74 620 8.94 626 9.11 632 9.27 636 9.43 6+3 9.63 657 9.93 676 10.31 695 10.72 720 11.21 739 11.65 750 11.96 756 12.20 In years. 47.90 53.72 54.84 54.8+ 54.51 54.03 53.43 52.74 51.97 51.15 50.29 +9.+2 48.54 47.66 46.79 45.93 +5.08 44.25 43.++ 42.65 41.86 41.09 +0.32 39.56 38.81 38.07 37.3+ 36.61 35.89 35.17 34.45 33.74 33.02 32.31 31.60 30.88 30.17 29.45 28.73 28.02 27.30 26.59 25.89 25.19 24.49 91 787 85 485 83 307 82 066 81 178 80 507 79 980 79 575 79 261 79 008 78 793 78 596 78 +02 78 197 77 976 77 728 77 ++8 77 132 76 783 76 407 76 007 75 584 75 138 74 671 74 183 73 674 73 1+4 72 595 72 030 71 +55 70 869 70 273 69 667 69 051 68 428 67 799 67 165 66 526 65 875 65 209 64 523 63 816 63 087 62 342 61 589 Per year. 7.32 25.61 54.52 81.58 104.34 134.85 175.01 226.71 285.11 346.53 390.06 +09.35 397.98 370.60 334.66 296.67 259.89 230.24 211.52 196.93 184.48 173.76 164.78 156.22 1+8.66 141.95 135.45 130.10 126.15 123.20 119.91 116.93 113.83 111.37 109.31 107.28 105.61 103.46 100.27 96.46 92.84 88.63 85.37 83.12 81.47 Annual rate + 790 067 20.88 4 698 280 18.62 4 612 795 18.23 4 529 488 18.23 4 447 +22 18.35 4 366 244 18.51 4 285 737 18.72 + 205 757 18.96 + 126 182 19.24 4 046 921 19.55 3 967 913 19.88 3 889 120 20.23 3 810 524 20.60 3 732 122 20.98 3 653 925 21.37 3 575 949 21.77 3 498 221 22.18 3 +20 773 22.60 3 3+3 641 23.02 3 266 858 23.45 3 190 451 23.89 3 114 444 24.34 3 038 860 24.80 2 963 722 25.28 2 889 051 25.77 2 81+ 868 26.27 2 741 194 26.78 2 668 050 27.31 2 595 +55 27.86 2 523 425 28.43 2 451 970 29.03 2 381 101 29.64 2 310 828 30.28 2 241 161 30.95 2 172 110 31.65 2 103 682 32.38 2 035 883 33.15 1 968 718 33.96 1 902 192 34.81 1 836 317 35.69 1 771 108 36.63 1 706 585 37.61 1 6+2 769 38.62 1 579 682 39.70 1 517 340 40.83 UNITED STATES LIFE TABLES. 109 OF THE ORIGINAL REGISTRATION STATES: 1901. TABLE 29 REPORTED DEATHS IN 1900 (92,443), IN 1901 (90,330), AND IN 1902 (88,025). Michigan, and the District of Columbia. The term " cities " means municipalities of 8,000 or more inhabitants in 1900 for the year 1909, and of 10,000 or more inhab- on pages 25 to 29, and illustrative examples, showing how to use the tables, are given on pages 29 to 49. STATIONARY FEMALE POPULATION, Rate op Complete Expectation op Life. \ Unaffected by Emigrat on and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 Average length of life remaining to each one alive at beginning of age interval. Including only those in current Population per death in age interval. Sum of numbers in column 6 in cur- Average annual death rate per thousand of pop- between two exact ages. alive at begin- ning of age interval. month or year of age. rent and all older age intervals. ulation in cur- rent and all older age intervals. X to x-\-l h dx 1000ft; e x 1*2; I"*Mr T* lOOOZs/Tz 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 61 211 765 12.50 23.78 60 828 79.51 1 455 751 42.05 46-47 60 446 774 12.80 23.08 60 059 77.60 1 394 923 43.33 47-48 59 672 794 13.31 22.37 59 275 74.65 1 334 864 44.70 48-49 58 878 833 14.14 21.66 58 461 70.18 1 275 589 46.17 49-50 58 045 882 15.20 20.97 57 604 65.31 1 217 128 47.69 50-51 57 163 932 16.30 20.28 56 697 60.83 1 159 524 49.31 51-52 56 231 982 17.47 19.61 55 740 56.76 1 102 827 50.99 52-53 55 249 1 029 18.63 18.95 54 734 53.19 1 047 087 52.77 53-54 54 220 1 073 19.78 18.30 53 683 50.03 992 353 54.64 54-55 53 147 1 117 21.01 17.66 52 589 47.08 938 670 56.63 55-56 52 030 1 166 22.42 17.03 51 447 44.12 886 081 58.72 56-57 50 864 1 222 24.02 16.41 50 253 41.12 834 634 60.94 57-58 49 642 1 281 25.81 15.80 49 001 38.25 784 381 63.29 58-59 48 361 1 338 27.66 15.21 47 692 35.64 735 380 65.75 59-60 47 023 1 387 29.49 14.62 46 330 33.40 687 688 68.40 60-61 45 636 1 430 31.35 14.05 44 921 31.41 641 358 71.17 61-62 44 206 1 469 33.21 13.49 43 472 29.59 596 437 74.13 62-63 42 737 1 505 35.22 12.94 41 985 27.90 552 965 77.28 63-64 41 232 1 551 37.61 12.39 40 457 26.08 510 980 80.71 64-65 39 681 1 606 40.48 11.86 38 878 24.21 470 523 84.32 65-66 38 075 1 660 43.60 11.34 37 245 22.44 431 645 88.18 66-67 36 415 1 714 47.09 10.83 35 558 20.75 394 400 92.34 67-68 34 701 1 767 50.91 10.34 33 817 19.14 358 842 96.71 68-69 32 934 1 806 54.84 9.87 32 031 17.74 325 025 101.32 69-70 31 128 1 831 58.81 9.41 30 213 16.50 292 994 106.27 70-71 29 297 1 849 63.13 8.97 28 372 15.34 262 781 111.48 71-72 27 448 1 861 67.80 8.54 26 517 14.25 234 409 117.10 72-73 25 587 1 858 72.61 8.12 24 658 13.27 207 892 123.15 73-74 23 729 1 841 77.60 7.72 22 808 12.39 183 234 129.53 74-75 21 888 1 816 82.95 7.33 20 980 11.55 160 426 136.43 75-76 20 072 1 784 88.85 6.95 19 180 10.75 139 446 143.88 76-77 18 288 1 749 95.65 6.58 17 414 9.96 120 266 151.98 77-78 16 539 1 708 103.27 6.22 15 685 9.18 102 852 160.77 78-79 14 831 1 658 111.77 5.88 14 002 8.45 87 167 170.07 79-80 13 173 1 594 121.05 5.55 12 376 7.76 73 165 180.18 80-81 11 579 1 516 130.93 5.25 10 821 7.14 60 789 190.48 81-82 10 063 1 421 141.19 4.97 9 352 6.58 49 968 201.21 82-83 8 642 1 311 151.66 4.70 7 987 6.09 40 616 212.77 83-84 7 331 1 189 162.25 4.45 6 737 5.66 32 629 224.72 84-85 6 142 1 063 172.99 4.22 5 611 5.28 25 892 236.97 85-86 5 079 934 183.99 3.99 4 612 4.94 20 281 250.63 86-87 4 145 810 195.44 3.78 3 740 4.62 15 669 264.55 87-88 3 335 692 207.50 3.58 2 989 4.32 11 929 279.33 88-89 2 643 582 220.27 3.38 2 352 4.04 8 940 295.86 89-90 2 061 482 233.81 3.20 1 820 3.78 6 588 312.50 90-91 1 579 392 248.09 3.02 1 383 3.53 4 768 331.13 91-92 1 187 312 263.09 2.85 1 031 3.30 3 385 350.88 92-93 875 244 278.79 2.69 753 3.09 2 354 371.75 93-94 631 186 295.23 2.54 538 2.89 1 601 393.70 94-95 445 139 312.51 2.39 375 2.70 1 063 418.41 95-96 306 101 330.76 2.25 255 2.52 688 444.44 96-97 205 72 350.12 2.12 169 2.36 433 471.70 97-98 133 49 370.68 1.99 108 2.20 264 502.51 98-99 84 33 392.50 1.87 67 2.05 156 534.76 99-100 51 21 415.60 1.75 40 1.91 89 571.43 100-101 30 13 440.00 1.64 23 1.77 49 609.76 101-102 17 8 465.76 1.53 13 1.65 26 653.59 102-103 9 4 492.93 1.43 7 1.53 13 699.30 103-104 5 3 521.58 1.33 3 1.42 6 751.88 104-105 2 1 551.79 1.24 2 1.31 3 806.45 105-106 - 1 1 583.63 1.15 1 1.21 1 869.57 110 UNITED STATES LIFE TABLES. TABLE 30 LIFE TABLE FOR WHITE FEMALES IN CITIES BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (7,246,306), AND ON THE .Note. — The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, itants in 1910 lor the years 1910 and 1911. An explanation of each column of the life tables is given AGE INTERVAL. Period of lifetime between two exact ages. X to Z+l Of 100,000 Females Born ALrvE: Number alive at beginning of age interval. h Number dying in age interval. Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. 1000 ?x Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. e x STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Tear. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. I* MEASURE OF VITALITY. Population per death in age interval. W*B POPULATION IN CUE- RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. T* DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. loooyT^ INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 100 000 96 126 95 040 94 117 93 312 92 590 91 934 91 332 90 773 90 252 K9 764 89 307 Monthly rate. 3 874 38.74 1 086 11.29 923 9.71 805 8.56 722 7.74 656 7.08 602 6.55 559 6.12 521 5.74 488 5.40 457 5.09 430 4.82 In years. 51.39 53.38 53.91 54.35 54.74 55.08 55.39 55.67 55.93 56.17 56.39 56.59 8 091 7 965 7 882 7 810 7 746 7 688 63fi 588 543 501 461 424 Per month. Annual rate 25.08 5 139 231 19.46 87.96 5 131 140 18.73 102.48 5 123 175 18.55 116.40 5 115 293 18.40 128.76 5 107 483 18.27 140.64 5 099 737 18.16 152.16 5 092 049 18.05 162.84 5 084 413 17.96 173.76 5 076 825 17.88 184.44 5 069 282 17.80 195.96 5 061 781 17.73 207.24 5 054 320 17.67 LIFE TABLE FOR 'WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 100 000 88 877 86 169 85 030 84 277 83 734 83 295 82 932 82 636 82 390 82 183 82 000 81 82S 81 656 81 476 81 279 81 060 80 817 80 553 80 268 79 962 79 634 79 287 78 924 78 547 78 155 77 747 77 324 76 888 76 438 75 974 75 493 74 995 74 479 73 947 73 399 72 836 72 260 71 673 71 075 70 466 x/dx Sum of numbers in col umn 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. lOooyTs LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 32 287 945 29.27 16.55 31 815 33.67 534 197 60.42 46-47 31 342 970 30.96 16.03 30 857 31.81 502 382 62.38 47-48 30 372 990 32.60 15.52 29 877 30.18 471 525 64.43 48-49 29 382 999 33.99 15.03 28 882 28.91 441 648 66.53 49-50 28 383 1 003 35.35 14.54 27 881 27.80 412 766 68.78 50-51 27 380 1 003 36.61 14.06 26 878 26.80 384 885 71.12 51-52 26 377 1 001 37.96 13.57 25 877 25.85 358 007 73.69 52-53 25 376 1 009 39.77 13.09 24 871 24.65 332 130 76.39 53-54 24 367 1 030 42.27 12.61 23 852 23.16 307 259 79.30 54-55 .23 337 1 055 45.22 12.14 22 809 21.62 283 407 82.37 55-56 22 282 1 091 48.94 11.70 21 736 19.92 260 59S 85.47 56-57 21 191 1 130 53.36 11.27 20 626 18.25 238 862 88.73 57-58 20 061 1 154 57.49 10.88 19 484 16.88 218 236 91.91 58-59 18 907 1 149 60.80 10.51 18 332 15.95 198 752 95.15 59-60 17 758 1 141 64.21 10.16 17 187 15.06 180 420 98.43 60-61 16 617 1 120 67.43 9.82 16 057 14.34 163 233 101.83 61-62 15 497 1 095 70.64 9.50 14 949 13.65 147 176 105.26 62-63 14 402 1 072 74.43 9.18 13 866 12.93 132 227 108.93 63-64 13 330 1 053 79.02 8.88 12 803 12.16 118 361 112.61 64-65 12 277 1 031 83.94 8.60 11 762 11.41 105 558 116.28 65-66 11 246 993 88.29 8.34 10 750 10.83 93 796 119.90 66-67 10 253 938 91.50 8.10 9 784 10.43 83 046 123.46 67-68 9 315 876 94.11 7.86 8 877 10.13 73 262 127.23 68-69 8 439 813 96.34 7.63 8 032 9.88 64 385 131.06 69-70 7 626 752 98.63 7.39 7 250 9.64 56 353 135.32 70-71 6 874 698 101.49 7.14 6 525 9.35 49 103 140.06 71-72 6 176 650 105.32 6.89 5 851 9.00 42 578 145.14 72-73 5 526 610 110.25 6.65 5 221 8.56 36 727 150.38 73-74 4 916 570 116.09 6.41 4 631 8.12 31 506 156.01 74-75 4 346 532 122.36 6.18 4 080 7.67 26 875 161.81 75-76 3 814 490 128.53 5.98 3 569 7.28 22 795 167.22 76-77 3 324 446 134.17 5.78 3 101 6.95 19 226 173.01 77-78 2 878 401 139.19 5.60 2 677 6.68 16 125 178.57 78-79 2 477 356 143.70 5.43 2 299 6.46 13 448 184.16 79-80 2 121 314 147.97 5.26 1 964 6.25 11 149 190.11 80-81 1 807 275 152.30 5.08 1 670 6.07 9 185 196.85 81-82 1 532 240 156.97 4.90 1 412 5.87 7 515 204.08 82-83 1 292 210 162.05 4.72 1 187 5.67 6 103 211.86 83-84 1 082 181 167.62 4.54 992 5.47 4 916 220.26 84-85 901 157 173.72 4.35 823 5.26 3 924 229.89 85-86 744 134 180.51 4.17 677 5.04 3 101 239.81 86-87 610 115 188.20 3.97 553 4.81 2 424 251.89 87-88 88-89 495 97 197.06 3.78 446 4.57 1 871 264.55 398 83 207.30 3.58 356 4.32 1 425 279.33 89-90 315 69 219.14 3.39 281 4.06 1 069 294.99 90-91 91-92 92-93 93-94 94-95 246 57 232.50 3.20 218 3.80 788 312.50 189 47 247.17 3.02 166 3.55 570 331.13 142 37 262.83 2.84 124 3.30 404 352.11 105 29 279.29 2.68 90 3.08 280 373.13 76 23 296.44 2.52 64 2.87 190 396.S3 95-96 96-97 97-98 98-99 99-100 53 17 314.36 2.37 45 2.68 126 421.94 36 12 333.18 2.23 ! 30 2.50 81 448.43 24 8 353.11 2.09 20 2.33 51 478.47 16 6 374.28 1.96 13 2.17 31 510.20 10 4 396.75 1.84 8 2.02 18 543.48 100-101 101-102 102-103 103-104 6 3 420.55 1.72 5 1.88 10 581.40 3 1 445.77 1.61 3 1.74 5 621.12 2 1 472.48 1.50 1 1.62 2 666.67 1 1 500.78 1.40 1 1.50 1 714.29 122 UNITED STATES LIFE TABLES. TABLE 36 LIFE TABLE FOR NEGRO FEMALES IN BASED ON THE ESTIMATED MEAN POPULATION FOR THE 10-YEAR PERIOD 1901 TO 1910 (50,301), AND ON THE 1907 (1,338), IN 1908 (1,304), IN Note. — An explanation of each column of the life tables is given on pages 25 to 29, and STATIONARY FEMALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. population in cur- rent AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x+1 lx d x 1000q x e x I* Lr/aa; Tr. lOOOZz/Ts 1 2 3 4 5 6 7 8 9 INFA NT MORTAL] TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. Per month. Annual rate. 0-1 100 000 8 045 80.45 32.21 7 831 11.64 3 221 069 31.05 1-2 91 955 2 538 27.60 34.94 7 557 35.76 3 213 238 28.62 2-3 89 417 2 302 25.74 35.85 7 355 38.40 3 205 681 27.89 3-4 87 115 2 082 23.91 36.71 7 173 41.40 3 198 326 27.24 4-5 85 033 1 873 22.02 37.53 7 008 44.88 3 191 153 26.65 5-6 83 160 1 679 20.20 38.29 6 860 49.08 3 184 145 26.12 6-7 81 481 1 487 18.25 38.99 6 728 54.24 3 177 285 25.65 7-8 79 994 1 304 16.29 39.63 6 612 60.84 3 170 557 25.23 8-9 78 690 1 145 14.56 40.21 6 510 68.28 3 163 945 24.87 9-10 77 545 997 12.86 40.72 6 421 77.28 3 157 435 24.56 10-11 76 548 866 11.31 41.16 6 343 87.84 3 151 014 24.30 11-12 75 682 769 10.17 41.55 6 275 97.92 3 144 671 24.07 LIF] S TABLE FOl 1 WHOLE RA1 TOE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. O-l 100 000 25 087 250.87 32.21 82 673 3.30 3 221 069 31.05 1-2 74 913 4 866 64.95 41.89 72 042 14.81 3 138 396 23.87 2-3 70 047 2 404 34.33 43.78 68 773 28.61 3 066 354 22.84 3-4 67 643 1 284 18.97 44.31 66 975 52.16 2 997 581 22.57 4-5 66 359 949 14.31 44.16 65 866 69.41 2 930 606 22.64 5-6 65 410 709 10.85 43.80 65 055 91.76 2 864 740 22.83 6-7 64 701 551 8.52 43.27 64 425 116.92 2 799 685 23.11 7-8 64 150 441 6.86 42.64 63 929 144.96 2 735 260 23.45 8-9 63 709 375 5.89 41.93 63 522 169.39 2 671 331 23.85 9-10 63 334 351 5.55 41.18 63 158 179.94 2 607 809 24.28 10-11 62 983 365 5.78 40.40 62 800 172.05 2 544 651 24.75 11-12 62 618 405 6.47 39.63 62 416 154.11 2 481 851 25.23 12-13 62 213 466 7.49 38.89 61 980 133.00 2 419 435 25.71 13-14 61 747 537 8.70 38.18 61 479 114.49 2 357 455 26.19 14-15 61 210 616 10.06 37.51 60 902 98.87 2 295 976 26.66 15-16 60 594 700 11.57 36.89 60 244 86.06 2 235 074 27.11 16-17 59 894 755 12.60 36.31 59 516 78.83 2 174 830 27.54 17-18 59 139 763 12.90 35.77 58 758 77.01 2 115 314 27.96 18-19 58 376 747 12.80 35.23 58 003 77.65 2 056 556 28.38 19-20 57 629 736 12.78 34.68 57 261 77.80 1 998 553 28.84 20-21 56 893 725 12.75 34.12 56 530 77.97 1 941 292 29.31 21-22 56 168 719 12.79 33.56 55 809 77.62 1 884 762 29.80 22-23 55 449 718 12.96 32.98 55 090 76.73 1 828 953 30.32 23-24 54 731 724 13.22 32.41 54 369 75.10 1 773 863 30.85 24-25 54 007 725 13.43 31.84 53 645 73.99 1 719 494 31.41 25-26 53 282 727 13.65 31.26 52 918 72.79 1 665 849 31.99 26-27 52 555 724 13.77 30.69 52 193 72.09 1 612 931 32.58 27-28 51 831 712 13.74 30.11 51 475 72.30 1 560 738 33.21 28-29 51 119 695 13.60 29.52 50 771 73.05 1 509 263 33.88 29-30 50 424 680 13.48 28.92 50 084 73.65 1 458 492 34.58 30-31 49 744 662 13.31 28.31 49 413 74.64 1 408 408 35.32 31-32 49 082 654 13.32 27.69 48 755 74.55 1 358 995 36.11 32-33 48 428 660 13.64 27.06 48 098 72.88 1 310 240 36.95 33-34 47 768 677 14.17 26.42 47 429 70.06 1 262 112 37.85 34-35 47 091 691 14.68 25.80 46 745 67.65 1 214 713 38.76 35-36 46 400 705 15.20 25.17 46 047 65.31 1 167 968 39.73 36-37 45 695 721 15.76 24.55 45 334 62.88 1 121 921 40.73 37-38 44 974 737 16.39 23.94 44 606 60.52 1 076 587 41.77 38-39 44 237 756 17.11 23.33 43 859 58.01 1 031 981 42.86 39-40 43 481 779 17.90 22.73 43 092 55.32 988 122 43.99 40-41 42 702 802 18.79 22.13 42 301 52.74 945 030 45.19 41-42 41 900 823 19.65 21.54 41 489 50.41 902 729 46.43 42-43 41 077 839 20.43 20.97 40 657 48.46 861 240 47.69 43-44 40 238 854 21.22 20.39 39 811 46.62 820 583 49.04 44-45 39 384 871 22.12 19.82 38 949 44.72 780 772 50.45 UNITED STATES LIFE TABLES. THE DISTRICT OF COLUMBIA: 1901-1910. 123 TABLE 36 REPORTED DEATHS IN 1901 (1,373), IN 1902 (1,283), IN 1903 (1,280), IN 1904 (1,306), IN 1905 (1,334), IN 1906 (1,299), IN 1909 (1,267), AND IN 1910 (1,330). illustrative examples, showing how to use the tables, are given on pages 29 to 49. AGE INTERVAL Period of lifetime between two exact ages. X to x+1 Of 100,000 Females Born Alive: Number alive at beginning of age interval. Number dying in age interval. Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. lOOOfe Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. STATIONAEY FEMALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Population per death in age interval. ~L x jd x Sum of numbers in column 6 in cur- rent and all older age intervals. LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. loooyx, Years. 45-46 46-47 47-48 48-49 49-50 50-51 51-52 52 53 53-54 54-55 55-56 56-57 57-58 58-59 59-60 60-61 61-62 62-63 63-64 64-65 65-66 66-67 67-68 68-69 69-70 70-71 71-72 72-73 73-74 74-75 75-76 76-77 77-78 78-79 79-80 80-81 81-82 82-83 83-84 84-85 85-86 86-87 87-88 88-89 89-90 90-91 91-92 92-93 93-94 94-95 95-96 96-97 97-98 98-99 99-100 100-101 101-102 102-103 103-104 104-105 105-106 106-107 107-108 38 513 37 624 36 706 35 746 34 747 33 714 32 654 31 582 :iO 512 29 449 28 389 27 328 26 251 25 143 24 009 22 862 21 715 20 553 19 377 18 191 17 004 15 829 1 + 681 13 575 12 524 11 536 10 613 9 755 8 955 8 207 7 503 6 837 6 205 5 605 5 037 4 502 4 001 3 536 3 108 2 716 2 361 2 040 1 753 1 497 1 270 1 071 896 745 614 501 403 319 247 1H6 135 95 63 40 24 13 7 3 1 889 918 960 999 1 033 1 060 1 072 1 070 1 063 1 060 1 061 1 077 1 108 1 134 1 147 147 162 176 186 187 1 175 1 148 1 106 1 051 988 923 858 800 748 704 666 632 600 568 535 501 465 428 392 355 321 287 256 227 199 175 151 131 113 98 84 72 61 51 40 32 23 16 11 6 4 2 1 Annual rate. In years 23.08 19.26 24.41 18.70 26.14 18.16 27.97 17.63 29.72 17.13 31.45 16.64 32.83 16.16 33.87 15.69 34.83 15.22 36.00 14.76 37.35 14.29 39.42 13.82 42.22 13.37 45.09 12.94 47.77 12.53 50.20 12.13 53.50 11.74 57.22 11.38 61.20 11.04 65.25 10.73 69.10 10.44 72.53 10.18 75.33 9.93 77.44 9.70 78.92 9.47 79.97 9.24 80.89 9.00 81.99 8.75 83.55 8.49 85.77 8.22 88.74 7.94 92.41 7.67 96.66 7.40 101.34 7.13 106.25 6.88 111.25 6.64 116.22 6.41 121.14 6.19 126.01 5.97 130.89 5.76 135.84 5.55 140.90 5.34 146.10 5.14 151.44 4.93 156.93 4.72 162.65 4.51 168.84 4.29 175.93 4.06 184.52 3.82 195.34 3.57 209.09 3.31 226.29 3.06 247.24 2.81 271.94 2.56 300.15 2.33 331.54 2.12 365.68 1.92 402.22 1.74 440.60 1.58 480.91 1.43 523.68 1.30 568.82 1.17 616.19 1.06 38 069 37 165 36 226 35 246 34 230 33 184 32 118 31 047 29 ;>K0 28 919 27 859 26 790 25 697 24 576 23 436 22 288 21 134 19 965 IK 784 17 598 16 417 15 255 1 + 128 13 050 12 030 11 074 10 184 !> 355 8 581 7 855 7 170 6 521 5 905 5 321 4 770 4 252 3 769 3 322 x dx 1000g x e x l>x "xldx T* loooyT* 1 2 3 4 5 6 1 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-16 59 082 748 12.67 23.64 58 708 78.49 1 396 478 42.30 46-47 58 334 764 13.09 22.93 57 952 75.85 1 337 770 43.61 47-48 57 570 785 13.64 22.23 57 178 72.84 1 279 818 44.98 48-49 56 785 815 14.36 21.53 56 378 69.18 1 222 640 46.45 49-50 55 970 862 15.22 20.84 55 544 65.19 1 166 262 47.98 50-51 55 118 888 16.11 20.15 54 674 61.57 1 110 718 49.63 51-52 54 230 924 17.03 19.47 53 768 58.19 1 056 044 51.36 52-53 53 306 963 18.08 18.80 52 825 54.85 1 002 276 53.19 53-54 52 343 1 012 19.33 18.14 51 837 51.22 949 451 55.13 54-55 51 331 1 070 20.85 17.49 50 796 47.47 897 614 57.18 55-56 50 261 1 134 22.55 16.85 49 694 43.82 846 818 59.35 56-57 49 127 1 205 24.53 16.23 48 525 40.27 797 124 61.61 57-58 47 922 1 376 26.62 15.62 47 284 37.06 748 599 64.02 58-59 46 646 1 332 28.56 15.03 45 980 34.52 701 315 66.53 59-60 45 314 1 373 30.31 14.46 44 627 32.50 655 335 69.16 60-61 43 941 1 114 32.16 13.90 43 234 30.58 610 708 71.94 61-62 42 527 1 446 34.01 13.34 41 804 28.91 567 474 74.96 62-63 41 081 1 482 36.07 12.80 40 340 27.22 525 670 78.13 63-64 39 599 1 529 38.61 12.26 38 835 25.40 485 330 81.57 64-65 38 070 1 585 41.65 11.73 37 278 23.52 446 495 85.25 65-66 36 485 1 639 44.92 11.22 35 665 21.76 409 217 89.13 66-67 34 846 1 692 48.56 10.72 34 000 20.09 373 552 93.28 67-68 33 154 1 733 52.27 10.24 32 288 18.63 339 552 97.66 68-69 31 421 1 750 55.71 9.78 30 546 17.45 307 264 102.25 69-70 29 671 1 751 59.00 9.33 28 795 16.44 276 718 107.18 70-71 27 920 1 747 62.59 8.88 27 046 15.48 247 923 112.61 71-72 26 173 1 737 66.35 8.44 25 304 14.57 220 877 118.48 72-73 24 436 1 731 70.84 8.00 23 571 13.62 195 573 125.00 73-74 22 705 1 738 76.55 7.58 21 836 12.56 172 002 131.93 74-75 20 967 1 748 83.36 7.16 20 093 11.49 150 166 139.66 75-76 19 219 1 742 90.65 6.77 18 348 10.53 130 073 147.71 76-77 17 477 1 716 98.18 6.39 16 619 9.68 111 725 156.49 77-78 15 761 1 678 106.50 6.03 14 922 8.89 95 106 165.84 78-79 14 083 1 626 115.43 5.69 13 270 8.16 80 184 175.75 79-80 12 457 1 555 121.88 5.37 11 679 7.51 66 914 186.22 80-81 10 902 1 470 134.81 5.07 10 167 6.92 55 235 197.24 81-82 9 432 1 369 145.19 4.78 8 747 6.39 45 068 209.21 82-83 8 063 1 259 156.06 4.51 7 433 5.91 36 321 221.73 83-84 6 804 1 139 167.49 4.25 6 234 5.47 28 888 235.29 84-85 5 665 1 018 179.57 4.00 5 156 5.07 22 654 250.00 85-86 4 647 894 192.39 3.77 4 200 4.70 17 498 265.25 86-87 3 753 773 206.00 3.54 3 367 4.35 13 298 282.49 87-88 2 980 657 220.42 3.33 2 652 4.04 9 931 300.30 88-89 2 323 547 235.66 3.13 2 050 3.74 7 279 319.49 89-90 1 776 447 251.69 2.95 1 552 3.47 5 229 338.98 90-91 1 329 357 268.49 2.77 1 150 3.22 3 677 361.01 91-92 972 278 286.03 2.60 833 3.00 2 527 384.62 92-93 694 211 304.36 2.44 588 2.79 1 694 409.84 93-94 483 156 323.57 2.29 405 2.59 1 106 436.68 94-95 327 113 343.75 2.15 270 2.41 701 465.12 95-96 214 78 365.02 2.02 175 2.24 431 495.05 96-97 136 53 387.46 1.89 110 2.08 256 529.10 97-98 83 34 411.08 1.77 66 1.93 146 564.97 98-99 49 21 435.86 1.65 38 1.79 80 606.06 99-100 28 13 461.85 1.55 21 1.67 42 645.16 100-101 15 7 489.06 1.44 11 1.54 21 694.44 101-102 8 4 517.48 1.35 6 1.43 ia 740.74 102-103 4 2 547.14 1.26 3 1.33 4 793.65 103-104 2 1 578.02 1.17 1 1.23 1 854.70 104-105 1 1 610.11 1.09 1.14 917.43 136 UNITED STATES LIFE TABLES. TABLE 43 LIFE TABLE FOR MALES IN THE BASED ON THE ESTIMATED POPDXATION JULY 1, 1910 (1,661,319), AND ON THE Note. — An explanation of each column of the life tables is given on pages 25 to 29, and STATIONARY MALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigrat on and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Males Born Alive: Mortality PER would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x+1 lx dx 1000o> e x La: li x jd x % W00l x /T x 1 2 3 4 5 6 7 8 9 INFA NT MORTAL] TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. Per month. Annual rate. 0-1 100 000 5 119 51.19 49.33 8 013 18.84 4 933 230 20.27 1-2 94 881 1 437 15.15 51.91 7 847 65.52 4 925 217 19.26 2-3 93 444 1 179 12.62 52.62 7 738 78.72 4 917 370 19.00 3-4 92 265 1 006 10.90 53.21 7 647 91.20 4 909 632 18.79 4-5 91 259 888 9.73 53.72 7 568 102.24 4 901 985 18.62 5-6 90 371 794 8.79 54.16 7 498 113.28 i 894 417 18.46 6-7 89 577 712 7.95 54.56 7 435 125.28 1 886 919 18.33 7-8 88 865 638 7.18 54.91 7 379 138.84 4 879 484 18.21 8-9 88 227 571 6.48 55.22 7 328 153.96 4 872 105 18.11 9-10 87 656 512 5.84 55.50 7 283 170.64 4 864 777 18.02 10-11 87 144 454 5.21 55.74 7 243 191.40 4 857 494 17.94 11-12 86 690 396 4.57 55.95 7 208 218.40 1 850 251 17.87 LIF E TABLE FO R WHOLE RA •TOE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. ■ 0-1 100 000 13 706 137.06 49.33 90 187 6.58 4 933 230 20.27 1-2 86 294 2 446 28.34 56.12 84 851 34.69 4 843 043 17.82 2-3 83 848 998 11.90 56.75 83 319 83.49 4 758 192 17.62 3-4 82 850 691 8.35 56.43 82 491 119.38 4 674 873 17.72 4-5 82 159 449 5.46 55.90 81 925 182.46 4 592 382 17.89 5-6 81 710 379 4.64 55.20 81 521 215.09 4 510 457 18.12 6-7 81 331 321 3.95 54.46 81 171 252.87 4 428 936 18.36 7-8 81 010 273 3.37 53.67 80 874 296.24 4 347 765 18.63 8-9 80 737 235 2.92 52.85 80 620 343.06 4 266 891 18.92 9-10 80 502 208 2.58 52.00 80 398 386.53 4 186 271 19.23 10-11 80 294 190 2.37 51.14 80 199 422.10 4 105 873 19.55 11-12 80 104 J82 2.27 50.26 80 013 439.63 4 025 674 19.90 12-13 79 922 181 2.27 49.37 79 832 i 11.06 3 945 661 20.26 13-14 79 741 188 2.36 48.48 79 647 423.65 3 865 829 20.63 14-15 79 553 202 2.53 47.59 79 452 393.33 • 3 786 182 21.01 15-16 79 351 218 2.75 46.71 79 21-2 363.50 3 706 730 21.41 16-17 79 133 242 3.05 45.84 79 (112 326.50 3 627 488 21.82 17-18 78 891 270 3.43 44.98 78 7.56 291.69 3 548 476 22.23 18-19 78 621 301 3.83 44.13 78 470 260.70 3 469 720 22.66 19-20 78 320 333 1,25 43.30 78 153 234.69 3 391 250 23.09 20-21 77 987 367 4.70 42.48 77 804 212.00 3 313 097 23.54 21-22 77 620 389 5.02 41.68 77 426 199.04 3 235 293 23.99 22-23 77 231 398 5.16 40.89 77 032 193.55 3 157 867 24.46 23-24 76 833 399 5.18 40.10 76 634 192.07 3 080 835 24.94 24-25 76 434 400 5.24 39.30 76 234 190.59 3 004 201 25.45 25-26 76 034 401 5.28 38.51 75 8:U 189.11 2 927 967 25.97 26-27 75 633 407 5.38 37.71 75 429 185.33 2 852 133 26.52 27-28 75 226 422 5.60 36.91 75 015 177.76 2 776 704 27.09 28-29 74 804 442 5.92 36.12 74 583 168.74 2 701 689 27.69 29-30 74 362 464 6.24 35.33 74 130 159.76 2 627 106 28.30 30-31 73 898 488 6.60 34.55 73 654 150.93 2 552 976 28.94 31-32 73 410 511 6.95 33.77 73 155 143.16 2 479 322 29.61 32-33 72 899 527 7.24 33.01 72 636 137. 83 2 406 167 30.29 33-34 72 372 540 7.46 32.24 72 102 133.52 2 333 531 31.02 34-35 71 832 553 7.70 31.48 71 556 129.40 2 261 429 31.77 35-36 71 279 565 7.92 30.72 70 997 125.66 2 189 873 32.55 36-37 70 714 579 8.20 29.96 70 424 121.63 2 118 876 33.38 37-38 70 135 601 8.57 29.21 69 834 116.20 2 048 452 34.23 38-39 69 534 627 9.01 28.46 69 221 110.40 1 978 618 35.14 39-40 68 907 653 9.48 27.71 68 581 105.02 1 909 397 36.09 40-41 68 254 682 10.00 26.97 67 913 99.58 1 840 816 37.08 41-42 67 572 708 10.18 26.24 67 218 94.94 1 772 903 38.11 42-43 66 864 727 10.87 25.51 66 500 91.47 1 705 685 39.20 43-44 66 137 741 11.21 24.78 65 766 88.75 1 639 185 40.36 44-45 65 396 759 11.60 24.06 65 017 85.66 1 573 419 41.56 UNITED STATES LIFE TABLES. 137 STATE OF MASSACHUSETTS: 1910. REPORTED DEATHS IN 1909 (26,255), IN 1910 (28,208), AND IN 1911 (27,515). illustrative examples, showing how to use the tables, are given on pages 29 to 49. TABLE 43 STATIONARY MALE POPULATION, Rate of Complete Expectation op Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to x+1 h dx 1000 ?a; e x L* ~Lx/d x T* lOOOZz/Tz 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 64 637 777 12.03 23.34 64 248 82.69 1 508 402 42.84 46-47 63 860 805 12.59 22.61 63 457 78.83 1 444 154 44.23 47-48 63 055 841 13.34 21.90 62 635 74.48 1 380 697 45.66 48-49 62 211 884 14.21 21.19 61 772 69.88 1 318 062 47.19 49-50 61 330 926 15.10 20.48 60 867 65.73 1 256 290 48.83 50-51 60 404 970 16.05 19.79 59 919 61.77 1 195 423 50.53 51-52 59 434 1 Oil 17.02 19.11 58 929 58.29 1 135 504 52.33 52-53 58 423 1 055 18.06 18.43 57 895 54.88 1 076 575 54.26 53-54 57 368 1 105 19.25 17.76 56 816 51.42 1 018 680 56.31 54-55 56 263 1 161 20.64 17.10 55 683 47.96 961 864 58.48 55-56 55 102 1 226 22.26 16.45 54 489 44.44 906 181 60.79 56-57 53 876 1 303 24.17 15.81 53 224 40.85 851 692 63.25 57-58 52 573 1 381 26.27 15.19 51 883 37.57 798 468 65.83 58-59 51 192 1 456 28.45 14.58 50 464 34.66 746 585 68.59 59-60 49 736 1 530 30.76 14.00 48 971 32.01 696 121 71.43 60-61 48 206 1 598 33.15 13.42 47 407 29.67 647 150 74.52 61-62 46 608 1 665 35.73 ]2.87 45 775 27.49 599 743 77.70 62-63 44 943 1 736 38.62 12.33 44 075 25.39 553 968 81.10 63-64 43 207 1 807 41.83 11.80 42 303 23.41 509 893 84.75 64-65 41 400 1 872 45.21 11.29 40 464 21.62 467 590 88.57 65-66 39 528 1 930 48.81 10.81 38 563 19.98 427 126 92.51 66-67 37 598 1 973 52.49 10.33 36 612 18.56 388 563 96.81 67-68 35 625 2 000 56.13 9.88 34 625 17.31 351 951 101.21 68-69 33 625 2 Oil 59.81 9.44 32 620 16.22 317 326 105.93 69-70 31 614 2 015 63.75 9.01 30 607 15.19 284 706 110.99 70-71 29 599 2 010 67.91 8.58 28 594 14.23 254 099 116.55 71-72 27 589 2 000 72.47 8.17 26 589 13.29 225 505 122.40 72-73 25 589 1 985 77.60 7.77 24 596 12.39 198 916 128.70 73-74 23 604 1 967 83.32 7.39 22 620 11.50 174 320 135.32 74-75 21 637 1 938 89.55 7.01 20 668 10.66 151 700 142.65 75-76 19 699 1 900 96.45 6.65 18 749 9.87 131 032 150.3S 76-77 17 799 1 846 103.74 6.31 16 876 9.14 112 283 158.48 77-78 15 953 1 773 111.15 5.98 15 066 8.50 95 407 167.22 78-79 14 180 1 685 118.80 5.67 13 337 7.92 80 341 176.37 79-80 12 495 1 593 127.47 5.36 11 699 7.34 67 004 186.57 80-81 10 902 1 498 137.43 5.07 10 153 6.78 55 305 197.24 81-82 9 404 1 392 147.99 4.80 8 708 6.26 45 152 208.33 82-83 8 012 1 269 158.42 4.55 7 378 5.81 36 444 219.78 83-84 6 743 1 141 169.24 4.31 6 172 5.41 29 066 232.02 84-85 5 602 1 Oil 180.47 4.09 5 096 5.04 22 894 244.50 85-86 4 591 881 191.87 3.88 4 150 4.71 17 798 257.73 86-87 3 710 755 203.39 3.68 3 333 4.42 13 648 271.74 87-88 2 955 635 214.98 3.49 2 638 4.15 10 315 286.53 88-89 2 320 526 226.65 3.31 2 057 3.91 7 677 302.11 89-90 1 794 428 238.69 3.13 1 580 3.69 5 620 319.49 90-91 1 366 344 251.53 2.96 1 194 3.48 4 040 337.84 91-92 1 022 271 265.72 2.78 887 3.26 2 846 359.71 92-93 751 212 281.88 2.61 645 3.05 1 959 383.14 93-94 539 162 300.52 2.44 458 2.83 1 314 409.84 94-95 377 121 321.76 2.27 316 2.61 856 440.53 95-96 256 89 345.43 2.11 212 2.39 540 473.93 96-97 167 62 371.01 1.96 136 2.20 328 510.20 97-98 98-99 105 63 42 27 398.01 426.00 1.82 3.69 84 50 2.01 1.85 192 108 549.45 591.72 99-100 36 16 454.69 1.57 28 1.70 58 636.94 100-101 20 10 483.90 1.46 15 1.57 30 684.93 101-102 10 5 513.86 1.36 8 1.45 15 735.29 102-103 5 3 544.89 1.26 4 1.34 7 793.65 103-104 2 1 577.35 1.17 2 1.23 3 854.70 104-105 1 1 611.42 1.09 1 1.14 1 917.43 138 UNITED STATES LIFE TABLES. TABLE 44 LIFE TABLE FOR FEMALES IN THE BASED ON THE ESTIMATED POPULATION DECEMBER 1, 1889 (1,136,902), AND ON Note. — An explanation of each column of the life tables is given on pages 25 to 29, and STATIONARY FEMALE POPULATION, Rate of Complete 1 Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUE- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to x-\-\ l x d x 1000?* e x "h x Lz/dr. T* IOOOZj/Tj, 1 2 3 4 5 6 7 8 9 INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 Monthly rate. In years. Per month. Annual rate. 2-3 3-4 4-5 5-6 This life table is based on the es imated populate >n December 31, 1889, and reported deaths for the census year ended May 31 1890, shown in Table 179, page 470. The reported deaths are not in exact agreement with those published in the Massachusetts Registration Reports, but 6-7 7-8 8-9 9-10 10-11 11-12 the differences are small exce pt for the age unc ler 1 year. ] ! 1 1 LIFE TABLE FOR WHOLE RA MGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 14 755 147.55 44.46 89 524 6.07 4 446 137 22.49 1-2 85 245 3 983 46.73 51.11 82 895 20.81 4 356 613 19.57 2-3 81 262 2 194 26.99 52.59 80 099 36.51 4 273 718 19.02 3-4 79 068 1 395 17.64 53.04 78 343 56.16 4 193 619 18.85 4-5 77 673 1 088 14.02 52.98 77 107 70.87 4 115 276 18.88 5-6 76 585 845 11.03 52.73 76 162 90.13 4 038 169 18.96 6-7 75 740 654 8.64 52.31 75 413 115.31 3 962 007 19.12 7-8 75 086 510 6.79 51.76 74 831 146.73 3 886 594 19.32 8-9 74 576 405 5.44 51.11 74 373 183.64 3 811 763 19.57 9-10 74 171 336 4.53 50.39 74 003 220.25 3 737 390 19.85 10-11 73 835 296 4.01 49.62 73 687 248.94 3 663 387 20.15 11-12 73 539 281 3.82 48.81 73 399 261.21 3 589 700 20.49 12-13 73 258 288 3.93 48.00 73 114 253.87 3 516 301 20.83 13-14 72 970 311 4.26 47.19 72 815 234.13 3 443 187 21.19 14-15 72 659 347 4.78 46.39 72 486 208.89 3 370 372 21.56 15-16 72 312 391 5.41 45.61 72 117 184.44 3 297 886 21.93 16-17 71 921 440 6.12 44.85 71 701 . 162.96 3 225 769 22.30 17-18 71 481 479 6.70 44.12 71 241 148.73 3 154 068 22.67 18-19 71 002 500 7.04 43.42 70 752 141.50 3 082 827 23.03 19-20 70 502 510 7.23 42.72 70 247 137.74 3 012 075 23.41 20-21 69 992 522 7.47 42.03 69 731 133.58 2 941 828 23.79 21-22 69 470 535 7.69 41.34 69 202 129.35 2 872 097 24.19 22-23 68 935 546 7.92 40.66 68 662 125.75 2 802 895 24.59 23-24 68 389 560 8.18 39.98 68 109 121.62 2 734 233 25.01 24-25 67 829 575 8.48 39.31 67 542 117.46 2 666 124 25.44 25-26 67 254 590 8.78 38.64 66 959 113.49 2 598 582 25.88 26-27 66 664 607 9.10 37.98 66 361 109.33 2 531 623 26.33 27-28 66 057 619 9.37 37.32 65 748 106.22 2 465 262 26.80 28-29 65 438 623 9.52 36.67 65 127 104.54 2 399 514 27.27 29-30 64 815 622 9.59 36.02 64 504 103.70 2 334 387 27.76 30-31 64 193 621 9.68 35.36 63 883 102.87 2 269 883 28.28 31-32 63 572 619 9.75 34.70 63 262 102.20 2 206 000 28.82 32-33 62 953 622 9.87 34.04 62 612 100.71 2 142 738 29.38 33-34 62 331 629 10.10 33.37 62 016 98.59 2 080 096 29.97 34-35 61 702 642 10.40 32.71 61 381 95.61 2 018 080 30.57 35-36 61 060 653 10.70 32.05 60 733 93.01 1 956 699 31.20 36-37 60 407 666 11.02 31.39 60 074 90.20 1 895 966 31.86 37-38 59 741 674 11.29 30.73 59 404 88.14 1 835 892 32.54 38-39 59 067 677 11.47 30.08 58 728 86.75 1 776 488 33.24 39-40 58 390 677 11.59 29.42 58 051 85.75 1 717 760 33.99 40-41 57 713 676 11.72 28.76 57 375 84.87 1 659 709 34.77 41-42 57 037 676 11.85 28.09 56 699 83.87 1 602 334 35.60 42-43 56 361 679 12.04 27.42 56 022 82.51 1 545 635 36.47 43-44 55 682 688 12.36 26.75 55 338 80.43 1 489 613 37.38 44-45 54 994 702 12.77 26.08 54 643 77.84 1 434 275 38.34 1, UNITED STATES LIFE TABLES. STATE OF MASSACHUSETTS: 1890. THE REPORTED DEATHS IN THE CENSUS YEAR ENDED MAY 31, 1890 (21,557). 139 TABLE 44 llustrative examples, showing how to use the tables, are given on pages 29 to 49. STATIONARY FEMALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Througthout Each Year. Thousand. POPULATION IN MEASURE OF POPULATION IN CUR- DEATH RATE CURRENT AGE INTERVAL. VITALITY. RENT AND ALL OLDER AGE INTERVALS. PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to s+1 l x d x lOOOcfo h ~L X L-zMr. T* ioooyT x 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 54 292 716 13.19 25.41 53 934 75.33 1 379 632 39.35 46-47 53 576 733 13.68 24.74 53 210 72.59 1 325 698 40.42 47-48 52 843 746 14.12 24.08 52 470 70.34 1 272 488 41.53 48-49 52 097 753 14.45 23.42 51 721 68.69 1 220 018 42.70 49-50 51 344 756 14.74 22.75 50 966 67.42 1 168 297 43.96 50-51 50 588 762 15.06 22.09 50 207 65.89 1 117 331 45.27 51-53 49 826 766 15.37 21.42 49 443 64.55 1 067 124 46.69 52-53 49 060 780 15.89 20.74 48 670 62.40 1 017 681 48.22 53-54 48 280 810 16.79 20.07 47 875 59.10 969 Oil 49.83 54-55 47 470 856 18.03 19.40 47 042 54.96 921 136 51.55 55-56 46 614 906 19.44 18.75 46 161 50.95 874 094 53.33 56-57 45 708 967 21.15 18.11 45 224 46.77 827 933 55.22 57-58 44 741 1 022 22.84 17.49 44 230 43.28 782 709 57.18 58-59 43 719 1 052 24.07 16.89 43 193 41.06 738 479 59.21 59-60 42 667 1 064 24.93 16.30 42 135 39.60 695 286 61.35 60-61 41 603 1 077 25.88 15.70 41 065 38.13 653 151 63.69 61-62 40 526 1 086 26.79 15.10 39 983 36.82 612 086 66.23 62-63 39 440 1 104 28.00 14.51 38 888 35.22 572 103 68.92 63-64 38 336 1 145 29.87 13.91 37 763 32.98 533 215 71.89 64-65 37 191 1 206 32.41 13.32 36 588 30.34 495 452 75.08 65-66 35 985 1 266 35.18 12.75 35 352 27.92 458 864 78.43 66-67 34 719 1 332 38.38 12.20 34 053 25.57 423 512 81.97 67-68 33 387 1 393 41.72 11.66 32 690 23.47 389 459 85.76 68-69 31 994 1 430 44.70 11.15 31 279 21.87 356 769 89.69 69-70 30 564 1 446 47.32 10.65 29 841 20.64 325 490 93.90 70-71 29 118 1 462 50.20 10.15 28 387 19.42 295 649 98.52 71-72 27 656 1 471 53.20 9.66 26 920 18.30 267 262 103.52 72-73 26 185 1 481 56.54 9.18 25 444 17.18 240 342 108.93 73-74 24 704 1 499 60.68 8.70 23 955 15.98 214 898 114.94 74-75 23 205 1 527 65.81 8.23 22 441 14.70 190 943 121.51 75-76 21 678 1 551 71.54 7.77 20 902 13.48 168 502 128.70 76-77 20 127 1 573 78.14 7.33 19 341 12.30 147 600 136.43 77-78 18 554 1 582 85.27 6.91 17 763 11.23 128 259 144.72 78-79 16 972 1 573 92.66 6.51 16 186 10.29 110 496 153.61 79-80 15 399 1 548 100.54 6.12 14 625 9.45 94 310 163.40 80-81 13 851 1 509 108.97 5.75 13 096 8.68 79 685 173.91 81-82 12 342 1 458 118.09 5.40 11 613 7.97 66 589 185.19 82-83 10 884 1 394 128.08 5.05 10 187 7.31 54 976 198.02 83-84 9 490 1 320 139.17 4.72 8 830 6.69 44 789 211.86 84-85 8 170 1 238 151.53 4.40 7 551 6.10 35 959 227.27 85-86 6 932 1 146 165.26 4.10 6 359 5.55 28 408 243.90 86-87 5 786 1 044 180.41 3.81 5 264 5.04 22 049 262.47 87-88 4 742 934 196.95 3.54 4 275 4.58 16 785 282.49 88-89 3 808 818 214.83 3.29 3 399 4.15 12 510 303.95 89-90 2 990 699 233.98 3.05 2 640 3.77 9 111 327.87 90-91 2 291 583 254.36 2.83 1 999 3.43 6 471 353.36 91-92 1 708 471 275.97 2.62 ; 1 472 3.12 4 472 381.68 92-93 1 237 370 298.84 2.43 1 052 2.85 3 000 411.52 93-94 867 280 323.01 2.25 727 2.60 1 948 444.44 94-95 587 205 348.52 2.08 485 2.37 1 221 480.77 95-96 382 143 375.38 1.92 311 2.16 736 520.83 96-97 239 97 403.58 1.78 191 1.98 425 561.80 97-98 142 61 432.87 1.65 112 1.81 234 606.06 98-99 81 38 463.63 1.52 62 1.66 122 657.89 99-100 43 21 495.59 1.41 33 1.52 60 709.22 100-101 22 12 528.68 1.30 16 1.39 27 769.23 101-102 10 5 562.79 1.21 7 1.28 11 826.45 102-103 103-104 5 3 597.79 1.12 3 1.17 4 892.86 2 1 633.54 1.03 1 1.08 1 970.87 104-105 1 1 669.85 .96 .99 140 UNITED STATES LIFE TABLES. TABLE 45 LIFE TABLE FOR FEMALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (1,4<57,854), AND ON THE Note. — An explanation of each column of the life tables is given on pages 25 to 29, and AGE INTERVAL. Of 100,000 Females Born Alive: Rate of Mortality per Thousand. Complete Expectation of Life. STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x-\-\ lx d x 1000g x «x L* LiMr T* lOOOZz/Ts 1 2 3 4 5 6 7 8 9 infa NT MORTAL] TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly rate. In years. Per month. Annual rate. ::::::::::::: :::::::::::::: LIF1 3 TABLE FO 1 "WHOLE RA] TOE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 100 000 86 882 83 937 82 498 81 544 80 816 80 264 79 845 79 523 79 267 79 052 78 856 78 665 78 465 78 251 78 019 77 763 77 477 77 160 76 816 76 449 76 060 75 650 75 222 74 778 74 318 73 843 73 352 72 849 72 337 71 818 71 292 70 757 70 214 69 667 69 117 68 564 68 010 67 450 66 871 66 268 65 637 64 976 64 291 63 600 13 118 2 945 1 439 954 728 552 419 322 256 215 196 191 200 214 232 256 286 317 344 367 389 410 428 444 460 475 491 503 512 519 526 535 543 547 550 553 554 560 579 603 631 661 685 691 689 Annual rate. 131.18 33.89 17.14 11.56 8.93 6.84 5.22 4.03 3.22 2.71 2.47 2.43 2.54 2.73 2.96 3.28 3.68 4.09 4.46 4.78 5.09 5.39 5.66 5.91 6.15 6.39 6.64 6.86 7.03 7.17 7.33 7.51 7.67 7.80 7.90 8.00 8.07 8.24 8.58 9.03 9.51 10.08 10.54 10.76 10.84 In years. 49.42 55.83 56.78 56.76 56.42 55.92 55.30 54.59 53.81 52.98 52.12 51.25 50.38 49.50 48.64 47.78 46.94 46.11 45.29 44.49 43.71 42.93 42.16 41.39 40.64 39.89 39.14 38.40 37.66 36.92 36.19 35.45 34.71 33.98 33.24 32.50 31.76 31.01 30.27 29.52 28.79 28.06 27.34 26.63 25.91 90 686 85 144 83 174 82 002 81 166 80 540 80 054 79 684 79 395 79 159 78 954 78 760 78 565 78 358 78 135 77 891 77 620 77 318 76 988 76 632 76 254 75 855 75 436 75 000 74 548 74 080 73 597 73 101 72 593 72 078 71 555 71 024 70 485 69 940 69 392 68 840 68 287 67 730 67 161 66 570 65 953 65 307 64 634 63 946 63 255 Per year. 6.91 28.91 57.80 85.96 111.49 145.91 191.06 247.47 310.14 368.18 402.83 412.36 392.83 366.16 336.79 304.26 271.40 243.91 223.80 208.81 196.03 185.01 176.25 168.92 162.06 155.96 149.89 145.33 141.78 138.88 136.04 132.76 129.81 127.86 126.17 124.48 123.26 120.95 115.99 110.40 104.52 98.80 94.36 92.54 91.81 4 941 503 4 850 817 4 765 673 4 682 499 4 600 497 4 519 331 4 438 791 4 358 737 4 279 053 4 199 658 4 120 499 4 041 545 3 962 785 3 884 220 3 805 862 3 727 727 3 649 836 3 572 216 3 494 898 3 417 910 3 341 278 3 265 024 3 189 169 3 113 733 3 038 733 2 964 185 2 890 105 2 816 508 2 743 407 2 670 814 2 598 736 2 527 181 2 456 157 2 385 672 2 315 732 2 246 340 2 177 500 2 109 213 2 041 483 1 974 322 1 907 752 1 841 799 1 776 492 1 711 858 1 647 912 Annual rate. 20.23 17.91 17.61 17.62 17.72 17.88 18.08 18.32 18.58 18.88 19.19 19.51 19.85 20.20 20.56 20.93 21.30 21.69 22.08 22.48 22.88 23.29 23.72 24.16 24.61 25.07 25.55 26.04 26.55 27.09 27.63 28.21 28.81 29.43 30.08 30.77 31.49 32.25 33.04 33.88 34.73 35.64 36.58 37.55 38.60 UNITED STATES LIFE TABLES. STATE OF MASSACHUSETTS: 1901. REPORTED DEATHS IN 1900 (25,149), IN 1901 (23,332), AND IN 1902 (23,186). illustrative examples, showing how to use the tables, are given on pages 29 to 49. 141 TABLE 45 AGE INTERVAL. Period of lifetime between two exact ages. x to x+1 Of 100,000 Females Born Alive: Number alive at beginning of age interval. Number dying in age interval d x Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. 1000^ Complete Expectation op Life. Average length of life remaining to each one alive at beginning of age interval. e x STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. Population per death in age interval. Wiir POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. IOWMj/Tj; LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. 45-46 46-47 47-48 48-49 49-50 50-51 51-52 52-53 53-54 54-55 55-56 56-57 57-58 58-59 59-60 60-61 61-62 62-63 63-64 64-65 65-66 66-67 67-68 68-69 69-70 70-71 71-72 72-73 73-74 74-75 75-76 76-77 77-78 78-79 79-80 80-81 81-82 82-83 83-84 84-85 85-86 86-87 S7-RS 88-89 89-90 90-91 91-92 92-93 93-94 94-95 95-96 96-97 97-98 98-99 99-100 100-101 101-102 102-103 103-104 104-105 105-106 62 911 (>2 220 61 530 60 826 60 088 59 302 5S 469 57 589 m 662 55 691 5+ 671 53 598 52 464 51 272 50 033 48 758 47 448 40 109 44 733 43 305 41 809 40 249 38 624 36 933 35 172 33 348 31 465 29 525 27 554 25 591 23 660 21 766 19 921 18 118 16 344 14 594 12 884 11 240 9 686 8 237 6 907 5 705 4 638 3 707 2 910 2 240 1 690 1 247 898 630 429 283 180 110 64 36 19 10 4 2 691 690 704 738 786 833 880 927 971 1 020 1 073 1 134 1 192 1 239 1 275 1 310 1 339 1 376 1 428 1 496 1 560 1 625 1 691 1 761 1 824 1 883 1 940 1 971 1 963 1 931 1 894 1 845 1 803 1 774 1 750 710 644 554 449 330 202 067 931 797 670 550 443 349 268 201 146 103 70 46 28 17 9 6 2 1 Annual rate. 10.97 11.10 11.44 12.13 13.08 14.04 15.06 16.09 17.15 18.31 19.63 21.15 22.73 24.17 25.48 26.86 28.23 29.84 31.93 34.54 37.32 40.35 43.80 47.67 51.86 56.47 61.67 66.74 71.26 75.46 80.03 84.76 90.49 97.96 107.07 117.14 127.59 138.31 149.60 161.47 173.95 187.05 200.75 215.08 230.02 245.64 262.10 279.63 298.46 318.76 340.59 363.99 388.81 414.90 442.10 470.10 499.35 529.95 561.90 595.17 629.73 In years. 25.19 24.46 23.73 23.00 22.28 21.57 20.87 20.18 19.50 18.83 18.17 17.53 16.89 16.28 15.67 15.06 14.46 13.87 13.28 12.70 12.14 11.59 11.06 10.54 10.04 9.56 9.11 8.67 8.26 7.85 7.45 7.06 6.67 6.28 5.91 5.55 5.22 4.92 4.62 4.35 4.09 3.85 3.62 3.40 3.20 3.00 2.82 2.64 2.47 2.31 2.15 2.01 1.87 1.74 1.62 1.51 1.40 1.30 1.21 1.12 1.04 62 566 61 875 61 178 60 457 59 695 58 886 58 029 57 126 56 176 55 181 54 135 53 031 51 868 50 653 49 395 48 103 46 779 45 421 44 019 42 557 41 029 39 437 37 779 36 052 34 260 32 407 30 495 28 539 26 572 24 625 22 713 20 844 19 020 17 231 15 469 13 739 12 062 10 463 8 961 7 572 6 306 5 172 4 173 3 308 2 575 1 965 1 469 1 073 764 530 356 232 145 87 50 27 14 7 3 1 Per year. 90.54 89.67 86.90 81.92 75.95 70.69 65.94 61.62 57.85 54.10 50.45 46.76 43.51 40.88 38.74 36.72 34.94 33.01 30.83 28.45 26.30 24.27 22.34 20.47 18.78 17.21 15.72 14.48 13.54 12.75 11.99 11.30 10.55 9.71 8.84 8.04 7.34 6.73 6.18 5.69 5.25 4.85 4.48 4.15 3.85 3.57 3.32 3.08 2.85 2.64 2.44 2.25 2.07 1.91 1.76 1.63 1.50 1.39 1.28 1.18 1.09 1 584 657 1 522 091 1 460 216 1 399 038 1 338 581 1 278 886 1 220 000 1 161 971 1 104 845 1 048 669 993 488 939 353 886 322 834 454 783 801 734 406 686 303 639 524 594 103 550 084 507 527 466 498 427 061 389 282 353 230 318 970 286 563 256 068 227 529 200 957 176 332 153 619 132 775 113 755 96 521 81 055 67 316 55 254 44 791 35 830 28 258 21 952 16 780 12 607 9 299 6 724 4 759 3 290 2 217 1 453 923 567 335 190 103 53 26 12 5 Annual rate. 39.70 40.88 42.14 43.48 44.88 46.36 47.92 49.55 51.28 53.11 55.04 57.05 59.21 61.43 63.82 66.40 69.16 72.10 75.30 78.74 82.37 86.28 90.42 94.88 99.60 104.60 109.77 115.34 121.07 127.39 134.23 141.64 149.93 159.24 169.20 180.18 191.57 203.25 216.45 229.89 244.50 259.74 276.24 294.12 312.50 333.33 354.61 378.79 404. S6 432.90 465.12 497.51 531.76 574.71 617. 28 662.25 714.29 769.23 826.45 892.86 961.51 142 UNITED STATES LIFE TABLES. TABLE 46 LIFE TABLE FOR FEMALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (1,716,933), AND ON THE Note. — An explanation of each column of the life tables is given on pages 25 to 29, and STATIONARY FEMALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Females Born Alive : Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 Average length of life remaining to each one alive at beginning of age interval. Including only those in current Population per death in age interval. Sum of numbers in column 6 in cur- Average annual death rate per thousand of pop- between two exact ages. alive at begin- ning of age interval. month or year of age. rent and all older age intervals. ulation in cur- rent and all older age intervals. x to x-\-X h d x lOOOfe 6x i-ix Lx/dr. Tx ioooyT x 1 2 3 4 5 6 7 8 9 INFA NT MORTAL] TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. Per month. Annua] rate. 0-1 100 000 3 91S 39.18 53.06 8 088 24.72 5 306 158 18.85 1-2 96 082 1 074 11.17 55.14 7 962 88.92 5 298 070 18.14 2-3 95 008 955 10.06 55.68 7 878 99.00 5 290 108 17.96 3-4 94 053 862 9.17 56.16 7 802 108.60 5 282 230 17.81 4-5 93 191 777 8.33 56.60 7 734 119.40 5 274 428 17.67 5-6 92 414 705 7.63 56.99 7 672 130.56 5 266 694 17.55 6-7 91 709 641 6.99 57.34 7 616 142.56 5 259 022 17.44 7-8 91 068 581 6.38 57.66 7 565 156.24 5 251 406 17.34 8-9 90 487 523 5.77 57.95 7 519 172.56 5 243 841 17.26 9-10 89 964 467 5.20 58.20 7 478 192.12 5 236 322 17.18 10-11 89 497 420 4.69 58.42 7 441 212.64 5 228 844 17.12 11-12 89 077 381 4.28 58.62 7 407 233.28 5 221 403 17.06 LIF E TABLE FO a WHOLE RA TCE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 11 304 113.04 53.06 92 162 8.15 5 306 158 18.85 1-2 88 696 2 264 25.53 58.79 87 360 38.59 5 213 996 17.01 2-3 86 432 918 10.63 59.31 85 945 93.62 5 126 636 16.86 3-4 85 514 56e 6.62 58.95 85 219 150.56 5 040 691 16.96 4-5 84 948 453 5.33 58.34 - 84 713 187.00 4 955 472 17.14 5-6 84 495 382 4.53 57.65 84 304 220.69 4 870 759 17.35 6-7 84 113 316 3.76 56.91 83 955 265.68 4 786 455 17.57 7-8 83 797 263 3.13 56.12 83 666 318.12 4 702 500 17.82 8-9 83 534 221 2.65 55.29 83 124 377.48 4 618 834 18.09 9-10 83 313 192 2.31 54.44 83 217 433.42 4 535 410 18.37 10-11 83 121 176 2.11 53.56 83 033 471.78 4 452 193 18.67 11-12 82 945 168 2.03 52.68 82 861 493.22 4 369 160 18.98 12-13 82 777 170 2.05 51.78 82 692 486.42 4 286 299 19.31 13-14 82 607 179 2.17 50.89 82 518 460.99 4 203 607 19.65 14-15 82 428 195 2.37 50.00 82 330 422.21 4 121 089 20.00 15-16 82 233 217 2.64 49.11 82 124 378.45 4 038 759 20.36 16-17 82 016 240 2.92 48.24 81 896 341.23 3 956 635 20.73 17-18 81 776 258 3.17 17.38 81 647 316.46 3 874 739 21.11 18-19 81 518 277 3.39 46.53 81 379 293.79 3 793 092 21.49 19-20 81 241 295 3.64 45.69 SI 093 271.89 3 711 713 21.89 20-21 80 946 315 3.89 44.85 80 788 256.47 3 630 620 22.30 21-22 80 631 332 4.12 44.03 80 465 242.36 3 549 832 22.71 22-23 80 299 345 4.30 43.21 80 126 232.25 3 469 367 23.14 23-24 79 954 357 4.46 42.39 79 775 223.46 3 389 241 23.59 24-25 79 597 369 4.63 41.58 79 413 215.21 3 309 466 24.05 25-26 79 228 380 4.80 40.77 79 038 207.99 3 230 053 24.53 26-27 78 818 392 4.98 39.96 78 652 200.64 3 151 015 25.03 27-28 78 456 407 5.19 39.16 78 253 192.27 3 072 363 25.54 28-29 78 049 423 5.43 38.36 77 837 184.01 2 994 110 26.07 29-30 77 626 442 5.68 37.57 77 405 175.12 2 916 273 26.62 30-31 77 184 460 5.97 36.78 76 954 167.29 2 838 868 27.19 31-32 76 724 479 6.24 36.00 76 484 159.67 2 761 914 27.78 32-33 76 245 493 6.46 35.22 75 998 154.15 2 685 430 28.39 33-34 75 752 501 6.62 34.45 75 501 150.70 2 609 432 29.03 31-35 75 251 512 6.79 33.67 74 995 146.47 2 533 931 29.70 35-36 74 739 519 6.96 32.90 74 480 143.51 2 458 936 30.40 36-37 74 220 530 7.13 32.13 73 955 139.54 2 384 456 31.12 37-38 73 690 541 7.34 31.35 73 420 135.71 2 310 501 31.90 38-39 73 149 555 7.59 30.58 72 872 131.30 2 237 081 32.70 39-40 72 594 570 7.86 29.81 72 309 126.86 2 164 209 33.55 JO-41 72 024 587 8.14 29.04 71 730 122.20 2 091 900 34.44 11-42 71 437 604 8.46 28.28 71 135 117.77 2 020 170 35.36 12-43 70 833 625 8.82 27.52 70 520 112.83 1 949 035 36.34 43-44 70 208 646 9.21 26.76 69 885 108.18 1 878 515 37.37 44-45 69 562 671 9.65 26.00 69 226 103.17 1 808 630 38.46 UNITED STATES LIFE TABLES. STATE OF MASSACHUSETTS: 1910. REPORTED DEATHS IN 1909 (24,841), IN 1910 (26,093), AND IN 1911 (25,488). illustrative examples, showing how to use the tables, are given on pages 29 to 49. 143 TABLE 46 AGE INTERVAL. Period of lifetime between two exact ages. r to x-\-l Of 100,000 Females Born Alive: Number alive at beginning of age interval. Number dying in age interval. Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin ning of age interval. 1000gz Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. measure or VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Population per death in age interval. W4 Sum of numbers in column 6 in cur- rent and all older age intervals. T; DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. lOOOZz/Tz LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. 45-46 46-47 47-48 48-49 19-50 50-51 51-52 52-53 53-54 54-55 55-56 56-57 57-58 58-59 59-60 60-61 61-62 62-63 63-64 64-65 65-66 66-67 67-68 68-69 69-70 70-71 71-72 72-73 73-74 74-75 75-76 76-77 77-78 78-79 79-80 80-81 81-82 82-83 83-84 84-85 85-86 86-87 87-88 88-89 89-90 90-91 91-92 92-93 93-94 94-95 95-96 96-97 97-98 98-99 99-100 100-101 101-102 102-103 103-104 104-105 105-106 106-107 107-108 68 891 68 191 67 463 66 712 65 939 65 143 64 324 63 472 62 570 61 602 60 562 59 437 58 227 56 944 55 600 5+ 193 5-2 728 51 197 19 583 47 875 46 081 4+ 206 42 266 to 284 38 275 36 243 34 196 32 134 30 051 27 947 25 834 23 722 21 625 19 559 17 536 15 562 13 640 11 803 1(> 098 8 559 7 182 5 961 4 879 3 929 3 103 •2 399 1 812 1 335 961 676 465 314 208 135 86 54 33 19 11 6 2 1 Annual rate. 700 10.16 728 10.67 751 11.14 773 11.58 796 12.07 819 12.58 852 13.25 902 14.21 968 15.47 1 040 16.89 1 125 18.57 1 210 20.36 1 283 22.04 1 344 23.60 1 407 25.30 1 465 27.03 1 531 29.04 1 614 31.54 1 708 34.45 1 794 37.47 1 875 40.69 1 940 43.88 1 982 46.90 2 009 49.87 2 0.32 53.09 2 047 56.47 2 062 60.30 2 083 64.82 2 104 70.01 2 113 75.61 2 112 81.75 2 097 88.40 2 066 95.57 2 023 103.43 1 974 112.54 1 922 123.49 1 837 134.74 1 705 144.42 1 539 152.37 1 377 160.92 1 221 169.97 1 082 181.50 950 194.82 826 210.06 704 226.96 587 244.90 477 263.05 374 280.52 285 296.71 211 311.39 151 324.77 106 337.37 73 349.86 49 362.96 32 377.21 21 392.91 14 410.16 8 429.67 5 419. S9 3 471.62 1 495.04 1 520.40 1 547.99 In years. 25.25 24.50 23.76 23.02 22.29 21.55 20.82 20.09 19.38 18.67 17.99 17.32 16.67 16.03 15.41 14.79 14.19 13.60 13.03 12.47 11.94 11.12 10.93 10.44 9.96 9.49 9.03 8.58 8.11 7.71 7.30 6.91 6.53 6.16 5.82 5.49 5.19 4.93 4.67 4.42 4.17 3.93 3.69 3.46 3.25 3.05 2.88 2.73 2.60 2.48 2.38 2.28 2.18 2.09 1.99 1.90 1.80 1.70 1.61 1.52 1.43 1.34 1.25 68 541 67 827 67 088 06 326 65 541 64 733 63 898 63 021 6'2 0K6 61 082 60 000 58 832 57 586 56 272 54 896 53 461 51 963 50 390 48 729 16 978 45 143 43 236 41 275 39 279 37 259 35 220 33 165 31 o.4;-> 28 99!) 26 891 24 778 22 674 20 592 IS 547 16 549 14 601 12 721 10 950 9 329 7 871 6 572 5 420 4 404 3 516 2 751 2 105 1 573 1 148 818 570 390 261 172 111 70 43 26 15 8 o 1 1 Per year. 97.92 93.17 89.33 85.80 82.34 79.04 75.00 69.87 64.14 58.73 53.33 48.62 44.88 41.87 39.02 36.49 33.94 31.22 28.53 26.19 24.08 22.29 20.82 19.55 18.34 17.21 16.08 14.93 13.78 12.73 11.73 10.81 9.97 9.17 8.38 7.60 6.92 6.42 6.06 5.71 5.38 5.01 4.63 4.26 3.91 3.58 3.30 3.06 2.87 2.71 2.58 2.46 2.36 2.26 2.15 2.05 1.94 1.83 1.72 1.62 1.52 1.42 1.33 1 739 404 1 670 863 1 603 036 1 535 948 1 469 622 404 081 339 348 275 450 212 429 150 343 089 261 029 261 970 429 912 843 856 571 801 675 748 214 696 251 645 861 597 132 550 154 505 Oil 461 775 420 500 381 221 343 962 308 742 275 577 244 484 215 485 188 594 163 816 141 142 120 550 102 003 85 454 70 853 58 132 47 182 37 853 29 982 23 410 17 990 13 586 10 070 7 319 5 214 3 641 2 493 1 675 1 105 715 454 282 171 101 58 32 17 9 4 2 1 Annual rate. 39.60 40.82 42.09 43.44 44.86 46.40 48.03 49.78 51.60 53.56 55.59 57.74 59.99 62.38 64.89 67.61 70.47 73.53 76.75 80.19 83.75 87.57 91.49 95.79 100.40 105.37 110.74 116.55 122.85 129.70 136.99 144.72 153.14 162.34 171.82 182.15 192.68 202.84 214.13 226.24 239.81 254.45 271.00 289.02 307.69 327.87 347.22 366.30 384.62 403.23 420.17 438.60 458.72 478.47 502.51 526.32 555.56 588.24 621.12 657.89 699.30 716.27 800.00 144 UNITED STATES LIFE TABLES. TABLE 47 LIFE TABLE FOR MALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (1,271,463), AND ON THE Note. — An explanation of each column of the life tables is given on pages 25 to 29, and AGE INTERVAL. Period of lifetime between two exact ages. X to x+1 Of 100,000 Males Born Alive: Number alive at beginning of age interval. Number dying in age interval Rate op Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. lOOOj^ Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. e x STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION Df CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. Population per death in age interval. l, x /d x POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop ulation in cur- rent and all older age intervals. loooyTj INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. O-l 1-3 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly rate. In years. Per month. Annual rate. LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 OOO 11 314 113.14 53.45 91 854 8.12 5 345 346 18.71 1-2 88 686 2 045 23.06 59.24 87 479 42.78 5 253 492 16.88 2-3 86 641 936 10.80 59.63 86 145 92.04 5 166 013 16.77 3-4 85 705 568 6.63 59.27 85 410 150.37 5 079 868 16.87 4-5 85 137 469 5.51 58.66 84 893 181.01 4 994 458 17.05 5-6 84 668 387 4.57 57.99 84 475 218.28 4 909 565 17.24 6-7 84 281 320 3.80 57.25 84 121 262.88 4 825 090 17.47 7-8 83 961 271 3.22 56.47 83 825 309.32 4 740 969 17.71 8-9 83 690 236 2.82 55.65 83 572 354.12 4 657 144 17.97 9-10 83 454 215 2.58 54.80 83 347 387.66 4 573 572 18.25 10-11 83 239 206 2.48 53.94 83 136 403.57 4 490 225 18.54 11-12 83 033 209 2.52 53.08 82 928 396.78 4 407 089 18.84 12-13 82 824 221 2.66 52.21 82 713 374.27 4 324 161 19.15 13-14 82 603 240 2.91 51.35 82 483 343.68 4 241 448 19.47 14-15 82 363 266 3.23 50.50 82 230 309.14 4 158 965 19.80 15-16 82 097 298 3.62 49.66 81 948 274.99 4 076 735 20.14 16-17 81 799 334 4.09 48.84 81 632 244.41 3 994 787 20.48 17-18 81 465 368 4.51 48.03 81 281 220.87 3 913 155 20.82 18-19 81 097 390 4.82 47.25 80 902 207.44 3 831 874 21.16 19-20 80 707 407 5.04 46.48 80 503 197.80 3 750 972 21.51 20-21 80 300 423 5.27 45.71 80 089 189.34 3 670 469 21.88 21-22 79 877 441 5.52 44.95 79 656 180.63 3 590 380 22.25 22-23 79 436 452 5.70 44.20 79 210 175.24 3 510 724 22.62 23-24 78 984 458 5.79 43.45 78 755 171.95 3 431 514 23.01 24-25 78 526 457 5.83 42.70 78 297 171.33 3 352 759 23.42 25-26 78 069 457 5.85 41.94 77 840 170.33 3 274 462 23.84 26-27 77 612 456 5.87 41.19 77 384 169.70 3 196 622 24.28 27-28 77 156 451 5.85 40.43 76 931 170.58 3 119 238 24.73 28-29 76 705 444 5.79 39.66 76 483 172.26 3 042 307 25.21 29-30 76 261 436 5.71 38.89 76 043 174.41 !3 965 824 25.71 30-31 75 825 426 5.62 38.11 75 612 177.49 2 889 781 26.24 31-32 75 399 416 5.52 37.32 75 191 180.75 2 814 169 26.80 32-33 74 983 413 5.50 36.53 74 776 181.06 2 738 978 27.37 33-34 74 570 419 5.62 35.73 74 360 177.47 2 664 202 27.99 34-35 74 151 433 5.84 34.93 73 934 170.75 2 589 842 28.63 35-36 73 718 447 6.06 34.13 73 494 164.42 2 515 908 29.30 36-37 73 271 461 6.29 33.33 73 041 158.44 2 442 414 30.00 37-38 72 810 476 6.54 32.54 72 572 152.46 2 369 373 30.73 38-39 72 334 492 6.80 31.75 72 088 146.52 2 296 801 31.50 39-40 71 842 508 7.07 30.97 71 588 140.92 2 224 713 32.29 40-41 71 334 525 7.37 30.18 71 072 135.38 2 153 125 33.13 41-42 70 809 546 7.71 29.40 70 536 129.19 2 082 053 34.01 42-43 70 263 563 8.01 28.63 ! 69 981 124.30 2 Oil 517 34.93 43-44 69 700 576 8.26 27.86 1 69 412 120.51 1 941 536 35.89 44-45 69 124 586 8.48 27.08 68 831 117.46 1 872 124 36.93 UNITED STATES LIFE TABLES. 145 STATE OF MICHIGAN: 1901. TABLE 47 REPORTED DEATHS IN 1900 (18,130), IN 1901 (17,597), AND IN 1902 (17,016). illustrative examples, showing how to use the tables, are given on pages 29 to 49. — ? -i STATIONARY MALE POPULATION, AGE INTERVAL. Of 100,000 Males Born Alive: Rate of Mortality per Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER DEATH RATE PER THOUSAND. INTERVAL. AGE INTERVALS. Period ot lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age. interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x+1 'a: d x lOOOrfo e x I>x Lx/"z % lOOOZj/Tz l 2 3 4 5 6 7 8 9 LIFE TABLE FOE WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 68 538 599 8.74 26.31 68 239 113.92 1 803 293 38.01 46-47 67 939 613 9.03 25.54 67 632 110.33 1 735 054 39.15 47-48 67 326 634 9.41 24.77 67 009 105.69 1 667 422 40.37 48-49 66 692 660 9.91 24.00 66 362 100.55 1 600 413 41.67 49-50 66 032 693 10.50 23.23 65 685 94.78 1 534 051 43.05 50-51 65 339 727 11.12 22.47 64 975 89.37 1 468 366 44.50 51-52 64 612 762 11.79 21.72 64 231 84.29 1 403 391 46.04 52-53 63 850 801 12.54 20.97 63 450 79.21 1 339 160 47.69 53-54 63 049 845 13.41 20.23 62 627 74.11 1 275 710 49.43 54-55 62 204 896 14.41 19.50 61 756 68.92 1 213 083 51.28 55-56 61 308 952 15.53 18.78 60 832 63.90 1 151 327 53.25 56-57 60 356 1 015 16.81 18.07 59 848 58.96 1 j090 495 55.34 57-58 59 341 1 074 18.11 17.37 58 804 54.75 1 030 647 57.57 58-59 58 267 1 125 19.31 16.68 57 704 51.29 971 843 59.95 59-60 57 142 1 172 20.50 16.00 56 556 48.26 914 139 62.50 60-61 55 970 1 222 21.84 15.32 55 359 45.30 857 583 65.27 61-62 54 748 1 274 23.27 14.65 54 111 42.47 802 224 68.26 62-63 53 474 1 346 25.16 13.99 52 801 39.23 748 113 71.48 63-64 52 128 1 447 27.76 13.34 51 405 35.53 695 312 74.96 64-65 50 681 1 565 30.88 12.71 49 899 31.88 643 907 78.68 65-66 49 116 1 678 34.17 12.09 48 277 28.77 594 008 82.71 66-67 47 438 1 787 37.68 11.50 46 544 26.05 545 731 86.96 67-68 45 651 1 886 41.31 10.93 1 44 708 23.71 499 187 91.49 68-69 43 765 1 971 45.03 10.38 42 780 21.70 454 479 96.34 69-70 41 794 2 049 49.03 9.85 40 770 19.90 411 699 101.52 70-71 39 745 2 126 53.51 9.33 38 682 18.19 370 929 107.18 71-72 37 619 2 202 58.52 8.83 36 518 16.58 332 247 113.25 72-73 35 417 2 268 64.05 8.35 34 283 15.12 295 729 119.76 73-74 33 149 2 318 69.92 7.89 31 990 13.80 261 446 126.74 74-75 30 831 2 344 76.03 7.44 29 659 12.65 229 456 134.41 75-76 28 487 2 354 82.64 7.01 27 310 11.60 199 797 142.65 76-77 26 133 2 345 89.73 6.60 24 961 10.64 172 487 151.52 77-78 23 788 2 324 97.72 6.20 22 626 9.74 147 526 161.29 78-79 21 464 2 293 106.84 5.82 20 317 8.86 124 900 171.82 79-80 19 171 2 242 116.93 5.46 18 050 8.05 104 583 183.15 80-81 16 929 2 166 127.96 5.11 15 846 7.31 86 533 195.69 81-82 14 763 2 065 139.84 4.79 13 730 6.65 70 687 208.77 82-83 12 698 1 936 152.46 4.49 11 730 6.06 56 957 222.72 83-84 10 762 1 784 165.75 4.20 9 870 5.53 45 227 238.10 84-85 8 978 1 613 179.66 3.94 8 172 5.07 35 357 253.81 85-86 7 365 1 430 194.15 3.69 6 650 4.65 27 185 271.00 86-87 5 935 1 242 209.27 3.46 5 314 4.28 20 535 289.02 87-88 4 693 1 056 225.05 3.24 4 165 3.94 15 221 308.64 88-89 3 637 878 241.56 3.04 3 198 3.64 11 856 328.95 89-90 2 759 715 258.85 2.85 2 402 3.36 7 858 350.88 90-91 2 044 566 276.95 2.67 1 761 3.11 5 456 374.53 91-92 1 478 437 295.91 2.50 1 260 2.88 3 695 400.00 92-93 1 041 329 315.78 2.34 876 2.67 2 435 427.35 93-94 712 240 336.62 2.19 592 2.47 1 559 456.62 94-95 472 169 358.52 2.05 388 2.29 967 487.80 95-96 303 116 381.56 1.92 245 2.12 579 520.83 96-97 187 76 405.77 1.79 149 1.96 334 558.66 97-98 111 48 431.16 1.67 87 1.82 185 598.80 98-99 63 29 457.61 1.56 49 1.69 98 641.03 99-100 34 16 485.28 1.46 26 1.56 49 684.93 100-101 18 9 514.10 1.36 13 1.45 23 735.29 101-102 9 5 544.02 1.27 6 1.34 10 787.40 102-103 4 2 575.03 1.18 3 1.24 4 847.46 103-104 2 1 607.06 1.10 1 1.15 1 909.09 104-105 1 1 640.05 1.02 1.06 980.39 150822°— 21- -10 146 UNITED STATES LIFE TABLES. TABLE 48 LIFE TABLE FOR MALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (1,458,872), AND ON THE Note. — An explanation of each column of the life tables is given on pages 25 to 29, and STATIONARY MALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to x-j-1 lx d x lOOOgz «x L* T-'x/dx Tx ioooyT x 1 2 3 4 5 6 7 8 9 INF.A NT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. Per month. Annual rate. 0-1 100 000 5 177 51.77 53.86 8 010 18.60 5 385 791 18.57 1-2 94 823 1 165 12.29 56.71 7 853 80.88 5 377 781 17.63 2-3 93 658 927 9.89 57.34 7 766 100.56 5 369 928 17.44 3-4 92 731 757 8.16 57.82 7 696 122.04 5 362 162 17.30 4-5 91 974 638 6.94 58.22 7 638 . 143.64 5 354 466 17.18 5-6 91 336 545 5.97 58.54 7 589 167.04 5 346 828 17.08 6-7 90 791 471 5.18 58.81 7 546 192.24 5 339 239 17.00 7-8 90 320 407 4.51 59.03 7 510 221.40 5 331 693 16.94 8-9 89 913 361 4.01 59.21 7 478 248.52 5 324 183 16.89 9-10 89 552 328 3.67 59.37 7 449 272.52 5 316 705 16.84 10-11 89 224 303 3.40 59.50 7 423 294.00 5 309 256 5 301 833 16.81 11-12 88 921 289 3.25 59.62 7 398 307.20 16.77 LIF E TABLE FO R WHOLE RA NGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 11 368 113.68 53.86 91 356 8.04 5 385 791 18.57 1-2 88 632 1 833 20.67 59.74 87 551 47.76 5 294 435 16.74 2-3 86 799 772 8.90 59.99 86 390 111.90 5 206 884 16.67 3-4 86 027 522 6.07 59.52 85 756 164.28 5 120 494 16.80 4-5 85 505 422 4.93 58.88 85 286 202.10 5 034 738 16.98 5-6 85 083 344 4.04 58.17 84 911 246.83 4 949 452 17.19 6-7 84 739 302 3.57 57.41 84 588 280.09 4 864 541 17.42 7-8 84 437 267 3.16 56.61 84 303 315.74 4 779 953 17.66 8-9 84 170 238 2.83 55.79 84 051 353.16 4 695 650 17.92 9-10 83 932 217 2.58 54.94 83 823 386.28 4 611 599 18.20 10-11 83 715 203 2.43 54.09 83 613 411.89 4 527 776 18.49 11-12 83 512 197 2.36 53.22 S3 413 123.12 4 444 163 18.79 12-13 83 315 199 2.38 52.34 83 215 418.17 4 360 750 19.11 13-14 83 116 206 2.48 51.46 83 013 402.98 4 277 535 19.43 14-15 82 910 217 2.63 50.59 82 801 381.57 4 194 522 19.77 15-16 82 693 231 2.79 49.72 82 577 357.48 4 111 721 20.11 16-17 82 462 253 3.07 48.86 82 335 325.43 4 029 144 20.47 17-18 83 209 286 3.47 48.01 82 066 286.94 3 946 809 20.83 18-19 81 923 324 3.96 47.18 81 761 252.35 3 864 743 21.20 19-20 81 599 362 4.44 46.36 81 418 224.91 3 782 982 21.57 20-21 81 237 402 4.95 45.57 81 036 201.58 3 701 564 21.94 21-22 80 835 429 5.31 44.79 80 620 187.93 3 620 528 22.33 22-23 80 406 435 5.40 44.03 80 189 184.34 3 539 908 22.71 23-24 79 971 426 5.33 43.26 79 758 187.23 3 459 719 23.12 24-25 79 545 420 5.28 42.49 79 335 188.89 3 379 961 23.53 25-26 79 125 414 5.22 41.71 78 918 190.62 3 300 626 23.98 26-27 78 711 408 5.19 40.93 78 507 192.42 3 221 708 24.43 27-28 78 303 408 5.22 40.14 78 099 191.42 3 143 201 24.91 28-29 77 895 413 5.29 39.35 77 689 188.11 3 065 102 25.41 29-30 77 482 414 5.35 38.56 77 275 186.65 2 987 413 25.93 30-31 77 068 416 5.40 37.76 76 860 184.76 2 910 138 26.48 31-32 76 652 420 5.48 36.96 76 442 182.00 2 833 278 27.06 32-33 76 232 429 5.63 36.16 76 017 177.20 2 756 836 27.65 33-34 75 803 410 5.81 35.37 75 583 171.78 2 680 819 28.27 34-35 75 363 453 6.00 34.57 75 136 165.86 2 605 236 28.93 35-36 11 910 467 6.23 33.78 74 677 159.91 2 530 100 29.60 36-37 74 443 477 6.41 32.98 74 205 155.57 2 455 423 30.32 37-38 73 966 481 6.51 32.19 73 725 153.27 2 381 218 31.07 38-39 73 485 482 6.56 31.40 73 244 151.96 2 307 493 31.85 39-40 73 003 485 6.64 30.60 72 760 150.02 2 234 249 32.68 40-41 72 518 487 6.71 29.81 72 275 148.41 2 161 489 33.55 41-42 72 031 4Wt 6.93 29.00 71 782 143.85 2 089 214 34.48 42-43 71 532 527 7.37 28.20 71 269 135.24 2 017 432 35.46 43-41 71 005 567 7.98 27.41 70 722 121.73 1 946 163 36.48 44-45 70 438 607 8.63 26.63 70 135 115.54 1 875 441 37.55 UNITED STATES LIFE TABLES. STATE OF MICHIGAN: 1910. REPORTED DEATHS IN 1909 (19,622), IN 1910 (21,724), AND IN 1911 (20,855). illustrative examples, showing how to use the tables, are given on pages 29 to 49. 147 TABLE 48 STATIONARY MALE POPULATION, Kate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming life Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime Number alive at beginning of age interval. Number dying Number dying in age interval among 1,000 Average length of life remaining to each one alive at beginning of age interval. Including only those in current Population per death in age interval. Sum of numbers in column 6 in cur- Average annual death rate per thousand of pop- between two exact ages. in age interval. alive at begin- ning of age interval. month or year of age. rent and all older age intervals. ulation in cur- rent and all older age intervals. x to x+1 t'X d x lOOOrfo e x I>x Z x /d x Ts lOOOZj/Ts 1 2 3 4 5 6 1 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 69 831 654 9.36 25.85 69 504 106.28 1 805 306 38.68 46-47 69 177 693 10.03 25.09 68 830 99.32 1 735 802 39.86 47-48 68 484 719 10.50 24.34 68 124 94.75 1 666 972 41.08 48-49 67 765 734 10.83 23.59 67 398 91.82 1 598 848 42.39 49-50 67 031 752 11.22 22.85 66 655 88.64 1 531 450 43.76 50-51 66 279 769 11.60 22.10 65 895 85.69 1 464 795 45.25 51-52 65 510 792 12.09 21.35 65 114 82.21 1 398 900 46.84 52-53 64 718 829 12.80 20.61 64 304 77.57 1 333 786 48.52 53-54 63 889 877 13.74 19.87 63 450 72.35 1 269 4R2 50.33 54-55 63 012 932 14.78 19.14 62 546 67.11 1 206 032 52.25 55-56 62 080 993 16.00 18.42 61 584 62.02 1 143 486 54.29 56-57 61 087 1 060 17.35 17.71 60 557 57.13 1 081 902 56.47 57-58 60 027 1 125 18.74 17.01 59 464 52.86 1 021 345 58.79 58-59 58 902 1 189 20.18 16.33 58 308 49.04 961 881 61.24 59-60 57 713 1 258 21.80 15.66 57 084 45.38 903 573 63.86 60-61 56 4.55 1 331 23.58 14.99 55 789 41.92 846 489 66.71 61-62 55 124 1 413 25.63 14.34 » 54 418 38.51 790 700 69.74 62-63 53 711 1 504 28.00 13.71 52 959 35.21 736 282 72.94 63-64 52 207 1 598 30.61 13.09 51 408 32.17 683 323 76.39 64-65 50 609 1 685 33.31 12.49 49 766 29.53 631 915 80.06 65-66 48 924 1 767 36.11 11.90 48 040 27.19 582 149 84.03 66-67 47 157 1 842 39.06 11.33 46 236 25.10 534 109 88.26 67-68 45 315 1 917 42.31 10.77 44 357 23.14 487 873 92.85 68-69 43 398 1 997 46.02 10.22 42 400 21.23 443 516 97.85 69-70 41 401 2 076 50.14 9.69 40 363 19.44 401 116 103.20 70-71 39 325 2 153 54.74 9.17 38 249 17.77 360 753 109.05 71-72 37 172 2 231 60.02 8.68 36 057 16.16 322 504 115.21 72-73 34 941 2 302 65.89 8.20 33 790 14.68 286 447 121.95 73-74 32 639 2 356 72.20 7.74 31 461 13.35 252 657 129.20 74-75 30 283 2 396 79.10 7.30 29 085 12.14 221 196 136.99 75-76 27 887 2 418 86.72 6.89 26 678 11.03 192 111 145.14 76-77 25 469 2 408 94.52 6.50 24 265 10.08 165 433 153.85 77-78 23 061 2 361 102.41 6.12 21 881 9.27 141 168 163.40 78-79 20 700 2 295 110.87 5.76 19 552 8.52 119 287 173.61 79-80 18 405 2 223 120.75 5.42 17 294 , 7.78 99 735 181.50 80-81 16 182 2 147 132.70 5.09 15 109 7.04 82 441 196.46 81-82 14 035 2 046 145.75 4.80 13 012 6.36 67 332 208.33 82-83 11 989 1 895 158.10 4.53 11 042 5.83 54 320 220.75 83-84 10 094 1 711 169.52 4.29 9 238 5.40 43 278 233.10 84-85 8 383 1 525 181.95 4.06 7 620 5.00 34 040 246.31 85-86 6 858 1 331 194.06 3.85 6 192 4.65 26 420 259.74 86-87 5 .527 1 137 205.74 3.66 4 958 4.36 20 228 273.22 87-88 4 390 953 217.10 3.48 3 913 4.11 15 270 287.36 88-89 • 3 437 786 228.55 3.30 3 044 3.88 11 357 303.03 89-90 2 651 638 240.69 3.14 2 332 3.65 8 313 318.47 90-91 2 013 511 254.05 2.97 1 757 3.44 5 981 336.70 91-92 1 502 "404 268.83 2.81 1 300 3.22 4 224 355.87 92-93 1 098 313 284.78 2.66 942 3.01 2 924 375.94 93 -94 785 236 301.38 2.52 667 2.82 1 982 396.83 94-95 549 175 317.96 2.39 461 2.65 1 315 418.41 95-96 374 125 333.99 2.28 312 2.49 854 438.60 96-97 249 87 349.27 2.17 206 2.36 542 460.83 97-98 162 59 364.20 2.06 133 51.25 336 485.44 98-99 103 39 379.63 1.96 84 2.13 203 510.20 99-100 64 25 396.65 1.85 51 2.02 119 540.54 100-101 39 16 416.23 1.75 31 1.90 68 571.43 101-102 23 10 439.14 1.63 18 1.78 37 613.50 102-103 13 6 465.60 1.52 10 1.65 19 657.89 103-104 7 4 495.34 1.41 5 1.52 9 709.22 104-105 3 1 527.78 1.31 3 1.39 4 763.36 105-106 ._, 1 562.42 1.21 1 1.28 1 826.45 106-107 1 1 599.01 1.11 1.17 900.90 148 UNITED STATES LIFE TABLES. TABLE 49 LIFE TABLE FOR FEMALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (1,192,215), AND ON THE Note.— An explanation of each column of the life tables is given on pages 25 to 29, and AGE INTERVAL. Period of lifetime between two exact ages. x to x+1 Of 100,000 Females Born Alive: Number alive at beginning of age interval. Number dyinc in age interval Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. WQ0q x Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. «z STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN CUEKENT AGE INTERVAL. Including only those in current month or year of age. measure of vitality. Population per death in age interval. L^/itr; POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. lO00l x /T x INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly ratp. In years Annual rate. LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR Years. O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 100 000 90 857 88 958 88 096 87 507 87 042 86 673 86 378 86 137 85 932 85 747 85 566 85 380 85 177 8-1 949 8 1 691 84 396 84 057 83 679 83 272 82 841 82 384 81 903 8 1 401 80 883 SO 354 79 814 79 263 78 707 78 153 77 605 77 065 76 534 76 008 75 481 74 948 71 409 73 864 73 314 72 761 72 205 71 644 71 078 70 506 6!) 928 Annual rate. 9 143 91.43 1 899 20.89 862 9.70 589 6.68 465 5.32 369 4.24 295 3.40 241 2.79 205 2.38 185 2.16 181 2.10 186 2.18 203 2.38 228 2.67 258 3.04 295 3.49 339 4.01 378 1.49 407 4.87 431 5.18 457 5.51 481 5.84 502 6.13 518 6.36 529 6.55 540 6.72 551 6.90 556 7.01 554 7.04 548 7.01 540 6.96 531 6.89 526 6.86 527 6.93 533 7.07 539 7.19 545 7.32 550 7.44 553 7.55 556 7.64 561 7.76 566 7.94 572 8.05 578 8.20 585 8.36 In years. 55.07 59.58 59.84 59.43 58.82 58.13 57.38 56.57 55.73 54.86 53.98 53.09 52.21 51.33 50.47 49.62 48.79 47.99 47.20 46.43 15.67 4 4.93 1 1.18 43.15 42.72 42.00 41.28 40.57 39.85 39.13 38.40 37.67 36.92 36.18 35.42 34.67 33.92 33.17 32.41 31.65 30.89 30.13 29.37 28.60 27.84 93 508 89 737 88 501 87 790 87 265 86 857 86 526 86 258 86 035 So 839 85 657 85 473 85 278 85 063 84 820 84 543 81 226 83 868 83 476 83 056 82 612 82 144 81 652 81 142 80 619 80 084 79 538 78 985 78 430 77 879 77 335 76 799 76 271 75 745 75 215 74 678 71 136 73 589 73 038 72 483 71 924 71 361 70 792 70 217 69 635 Per year. 10.23 47.25 102.67 149.05 187.67 235.38 293.31 357.92 419.68 463.99 473.24 459.53 420.09 373.08 328.76 286.59 248.45 321.87 205.10 192.71 180.77 170.78 162.65 156.64 152.40 148 30 144.35 142.06 141.57 142.11 143.21 144.63 145.00 143.73 141.12 138.55 136.03 133.80 132.08 130.37 128.21 126.08 123.76 121.48 119.03 5 SOfi 908 5 413 400 5 323 663 5 235 162 5 147 372 5 060 107 4 973 250 4 886 724 4 800 466 4 714 431 1 628 592 4 542 935 4 457 462 4 372 184 4 287 121 4 202 301 4 117 758 4 033 532 3 949 664 3 866 188 3 783 132 3 700 520 3 618 376 3 536 724 3 455 582 3 374 963 3 294 H79 3 215 341 3 136 356 3 057 926 2 980 047 2 902 712 2 825 913 2 749 642 2 673 897 2 598 682 .» 524 004 2 449 868 2 376 279 2 303 211 2 230 758 a 158 834 2 087 473 2 016 681 I 946 464 Annual rate. 18.16 16.78 16.71 16.83 17.00 17.20 17.43 17.68 17.94 18.23 18.53 18.84 19.15 19.48 19.81 20.15 20.50 20.84 21.19 21.54 21.90 22.26 22.63 23.01 23.41 23.81 24.22 24.65 25.09 25.56 26.04 26.55 27.09 27.64 28.23 28.84 29.48 30.15 30.85 31.60 32.37 33.19 34.05 34.97 35.92 UNITED STATES LIFE TABLES. THE STATE OF MICHIGAN: 1901. REPORTED DEATHS IN 1900 (15,843), IN 1901 (15,255), AND IN 1902 (14,346). illustrative examples, showing how to use the tables, are given on pages 29 to 49. 149 TABLE 49 STATIONARY FEMALE POPULATION, AGE INTERVAL. Op 100,000 Females Born Alive: Rate of Mortality PER Thousand. Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPTJXATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x+1 lx d x 1000o- x e x L* W4 T* lOOOZz/Ts 1 2 3 1 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 46-47 47-48 48-49 49-50 69 343 68 750 68 148 67 530 66 888 593 602 618 642 671 8.55 8.76 9.07 9.50 10.03 27.07 26.30 25.52 24.75 23.98 69 047 68 449 67 839 67 209 66 553 116.44 113.70 109.77 104.69 99.18 1 876 829 1 807 782 1 739 333 1 671 494 1 604 285 36.94 38.02 39.18 40.40 41.70 50-51 51-52 52-53 53-54 54-55 66 217 65 515 64 777 64 005 63 204 702 738 772 801 830 10.61 11.26 11.91 12.52 13.13 23.22 22.47 21.72 20.97 20.23 65 866 65 146 64 391 63 605 62 789 93.83 88.27 83.41 79.41 75.65 1 537 732 1 471 866 1 406 720 1 342 329 1 278 724 43.07 44.50 46.04 47.69 49.43 55-56 56-57 57-58 58-59 59-60 62 374 61 511 60 612 59 667 58 659 863 899 945 1 008 1 083 13.84 14.61 15.59 16.89 18.46 19.49 18.76 18.03 17.31 16.60 61 942 61 061 60 140 59 163 58 118 71.78 67.92 63.64 58.69 53.66 1 215 935 1 153 993 1 092 932 1 032 792 973 629 51.31 53.30 55.46 57.77 60.24 60-61 61-62 62-63 63-64 64-65 57 576 56 415 55 172 53 840 52 415 1 161 1 243 1 332 1 425 1 520 20.17 22.04 24.14 26.46 29.00 15.90 15.22 14.55 13.90 13.26 56 996 55 793 54 506 53 128 51 655 49.09 44.89 40.92 37.28 33.98 915 511 858 515 802 722 748 216 695 088 62.89 65.70 68.73 71.94 75.41 65-66 66-67 67-68 6S-69 69-70 50 895 49 279 47 567 45 764 43 878 1 616 1 712 1 803 1 886 1 968 31.75 34.75 37.90 41.22 44.86 12.64 12.04 11.46 10.89 10.33 50 087 48 423 46 665 44 821 42 894 30.99 28.28 25.88 23.77 21.80 • 643 433 593 346 544 923 498 258 453 437 79.11 83.06 87.26 91.83 96.81 70-71 71-72 72-73 73-74 74-75 41 910 39 859 37 728 35 515 33 226 2 051 2 131 2 213 2 289 2 351 48.92 53.47 58.65 64.46 70.77 9.80 9.27 8.77 8.29 7.82 40 885 38 794 36 622 34 371 32 050 19.93 18.20 16.55 15.02 13.63 410 543 369 658 330 864 294 242 259 871 102.04 107.87 114.03 120.63 127.88 75-76 76-77 77-78 78-79 79-80 . 30 875 28 477 26 050 23 610 21 181 2 398 2 427 2 440 2 429 2 388 77.66 85.22 93.67 102.90 112.74 7.38 6.96 6.56 6.19 5.84 29 676 27 264 24 830 22 395 19 987 12.38 11.23 10.18 9.22 8.37 227 821 198 145 170 881 146 051 123 656 135.50 143.68 152.44 161.55 171.23 80-81 81 82 82-83 83-84 84-85 18 793 16 482 14 286 12 239 10 366 2 311 2 196 2 047 1 873 1 687 122.95 143.30 153.09 162.67 5.52 5.22 4.95 4.69 4.45 17 637 15 384 13 263 11 302 9 522 7.63 7.01 6.48 6.03 5.65 103 669 86 032 70 648 57 385 46 083 181.16 191.57 202.02 213.22 224.72 85-86 86-87 87-88 88-89 89-90 8 679 7 184 5 874 4 738 3 764 1 495 1 310 1 136 974 825 172.30 182.39 193.36 205.55 219.17 4.21 3.99 3.76 3.54 3.33 7 932 6 529 5 306 4 251 3 352 5.30 4.98 4.67 4.36 4.06 36 561 28 629 22 100 16 794 12 543 237.53 250.63 265.96 282.49 300.30 90-91 91-92 92-93 93-94 94-95 2 939 2 251 1 686 1 2.34 879 688 565 452 355 270 234.27 250.74 268.44 287.21 307.00 3.13 2.93 2.75 2.57 2.40 2 595 1 968 1 460 1 056 744 3.77 3.49 3.23 2.98 2.76 9 191 6 596 4 628 3 168 2 112 319.49 341.30 363.64 389.11 416.67 95-96 96-97 97-98 98-99 99-100 609 410 266 167 101 199 144 99 66 43 327.85 349.82 373.02 397.5.3 423.40 2.25 2.10 1.96 1.83 1.70 509 338 217 134 79 2.55 2.36 2.18 2.02 1.86 1 368 859 521 304 170 444.44 476.19 510.20 546.45 588.24 100-101 101-102 102-103 103-104 104-105 58 32 17 3 4 26 15 9 4 2 450.59 479.26 509.39 540.98 574.06 1.58 1.47 1.37 1.27 1.18 45 24 12 6 3 1.72 1.59 1.46 1.35 1.24 91 46 22 10 4 632.91 680.27 729.93 787.40 847.46 105-106 106-107 2 1 1 1 608.61 644.61 1.09 1.01 1 1.14 1.05 1 917.43 990.10 150 UNITED STATES LIFE TABLES. TABLE 50 LIFE TABLE FOR FEMALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (1,359,511), AND ON THE Note.— An explanation of each column of the lile tables is given on pages 25 to 29, and AGE INTERVAL Period of lifetime between two exact ages. x to x-\-l Of 100,000 Females Born Alive: Number alive at beginning of age interval. Number dymi in age interval Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. 1000? x Complete Expectation op Life. Average length of life remaining to each one alive at beginning of age interval. STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION m CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF "VITALITY. Population per death in age interval. L x Mr population in cur- rent AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation In cur- rent and all older age intervals. IOOOZj/Tj; INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 100 OOO 96 045 95 150 94 395 98 764 9a 236 92 778 92 373 92 014 91 697 91 409 91 136 3 955 895 755 631 528 458 405 359 317 288 273 266 Monthly rate. In years. 39.55 56.24 9.32 58.47 7.94 58.94 6.68 59.33 5.64 59.64 4.91 59.90 4.36 60.11 3.88 60.29 3.45 60.44 3.15 60.56 2.98 60.67 2.92 60.77 966 898 840 792 751 715 683 655 629 606 584 Per month. 24.48 106.80 125.52 149.04 177.12 203.04 228.60 256.80 289.80 317.88 334,32 342.12 623 970 615 884 607 918 600 020 592 180 584 388 5 576 637 5 568 922 5 561 239 5 553 584 5 545 955 5 538 349 Annual rate. 17.78 17.10 16.97 16.85 16.77 16.69 16.64 16.59 16.55 16.51 16.48 16.46 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 100 000 90 870 89 158 SK 383 87 864 87 502 87 178 86 902 86 665 86 459 86 275 86 102 85 932 85 755 85 566 85 359 85 132 84 879 8+ 591. 84 263 83 895 83 485 88 045 82 596 82 151 81 707 81 267 HO 829 80 389 79 943 79 495 79 045 78 590 78 122 77 639 77 141 7t> 624 76 098 75 574 75 059 74 552 74 052 7:{ 552 73 038 72 499 Annual rate. 9 130 91.30 1 712 18.84 775 8.69 519 5.87 362 4.12 324 ., 3.70 276 3.17 237 2.72 206 2.37 184 2.13 173 2.00 170 1.98 177 2.05 189 2.21 207 2.42 227 2.66 253 2.98 288 3.40 328 3.88 368 4.36 410 4.89 440 5.27 449 5.41 445 5.39 444 5.40 440 5.39 438 5.39 440 5.45 446 5.54 448 5.61 450 5.66 455 5.76 468 5.95 483 6.18 498 6.42 517 6.69 526 6.87 524 6.89 515 6.81 507 6.76 500 6.70 500 6.75 514 6.99 539 7.38 564 7.78 In years. 56.24 60.86 61.03 60.56 59.91 59.16 58.38 57.56 56.72 55.85 54.97 54.08 53.18 52.29 51.41 50.53 49.66 48.81 47.97 47.16 46.36 45.59 44.83 44.07 43.30 42.54 41.76 40.99 40.21 39.43 38.65 37.87 37.08 36.30 35.53 34.75 33.98 33.21 32.44 31.66 30.87 30.08 29.28 28.48 27.69 93 205 89 K60 88 747 8>s 113 87 676 87 340 87 040 86 783 86 562 86 367 86 188 86 017 85 843 85 661 85 463 85 246 85 006 84 735 84 127 84 079 83 690 Hit 265 82 821 82 373 HI 929 81 487 HI 018 HO 609 HO 166 79 719 79 270 78 817 78 356 77 881 77 390 76 883 76 361 75 836 75 317 74 806 74 302 73 802 73 295 72 769 72 217 Per year. 10.21 52.49 114.51 169.77 242.20 269.57 315.36 366.17 420.20 469.39 498.20 505.98 484.99 453.23 412.86 375.53 335.99 294.22 257.40 228.48 204.12 189.24 184.46 185.11 184.52 185.20 185.04 183.20 179.74 177.94 176.16 173.22 167.43 161.24 155.40 148.71 145.17 144.73 146.25 147.55 148.60 147.60 142.60 135.01 128.04 5 623 970 5 530 765 5 440 905 5 352 158 5 264 045 5 176 369 5 089 029 5 001 989 4 915 206 4 828 644 4 742 277 4 656 089 4 570 072 4 484 229 4 398 56S 4 313 105 4 227 859 4 142 853 4 058 118 3 973 691 3 889 612 3 805 922 3 722 657 3 639 836 3 557 463 3 475 534 3 394 047 3 312 999 3 232 390 3 152 224 3 072 505 2 993 235 2 914 418 2 836 062 2 758 181 2 680 791 2 603 908 2 527 547 2 451 711 2 376 394 2 301 588 2 227 286 2 153 484 2 080 189 2 007 420 Annual rate. 17.78 16.43 16.39 16.51 16.69 16.90 17.13 17.37 17.63 17.91 18.19 18.49 18.80 19.12 13.45 19.79 20.14 20.49 20.85 21.20 21.57 21.93 22.31 22.69 23.09 23.51 23.95 24.40 24.87 25.36 25.87 26.41 . 26.97 27.55 28.15 28.78 29.43 30.11 30.83 31.59 32.39 33.24 34.15 35.11 36.11 UNITED STATES LIFE TABLES. 151 THE STATE OF MICHIGAN: 1910. REPORTED DEATHS IN 1909 (16,638), IN 1910 (18,164), AND IN 1911 (17,138). illustrative examples, showing how to use the tables, are given on pages 29 to 49. TABLE 50 AGE INTERVAL. Period of lifetime between two exact ages. x to x-\-l Op 100,000 Females Born Alive: Number alive at beginning of age interval. Number dying in age interval. Rate of Mortality ' PER Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. 1000^ Complete Expectation or Life. Average length of life remaining to each one alive at beginning of age interval. e x STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which. Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Bom Alive Uniformly Throughout Each Tear. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. L, MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Population per death in age interval. Jj x /d x Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. W00l x /T x LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. 45-46 46-47 47-48 48-49 49-50 50-51 51-52 52-53 53-54 54-55 55-56 56-57 57-58 58-59 59-60 60-61 61-62 62-63 63-64 64-65 65-66 66-67 67-68 68-69 69-70 70-71 71-72 72-73 73-74 74-75 75-76 76-77 77-78 78-79 79-80 80-81 81-82 82-83 83-84 84-85 85-86 86-87 87-88 88-89 89-90 90-91 91-92 92-93 93-94 94-95 95-96 96-97 97-98 98-99 99-100 100-101 101-102 102-103 103-104 104-105 105-106 106-107 71 935 71 344 70 723 70 073 69 393 68 682 67 938 67 163 66 353 65 504 64 611 63 665 62 663 61 606 60 497 59 332 58 108 56 817 55 444 53 982 52 435 50 807 49 094 47 279 45 347 43 295 41 120 38 827 36 439 33 988 31 487 28 952 26 423 23 936 21 516 19 166 16 891 14 705 12 640 10 730 8 983 7 403 5 992 4 752 3 683 2 784 2 052 1 476 1 039 718 488 327 216 140 88 54 32 IS 10 5 2 1 591 621 650 680 711 744 775 810 849 893 946 1 002 1 057 1 109 1 165 224 291 373 462 547 628 713 815 932 052 2 175 2 293 2 388 2 451 2 501 2 535 2 529 2 487 2 420 2 350 2 275 2 186 2 065 1 910 1 747 1 580 1 411 1 240 1 069 899 732 576 437 321 230 161 111 76 52 34 22 11 8 5 3 1 1 Annual rate. In years 8.22 26.90 8.70 26.12 9.20 25.35 9.70 24.58 10.25 23.81 10.83 23.05 11.42 22.30 12.06 21.55 12.79 20.81 13.64 20.07 14.64 19.34 15.74 18.62 16.86 17.91 18.00 17.21 19.27 16.52 20.62 15.83 22.22 15.16 24.16 14.49 26.37 13.83 28.67 13.20 31.04 12.57 33.72 11.96 36.97 11.36 40.87 10.77 45.24 10.21 50.24 9.67 55.78 9.16 61.50 8.67 67.26 8.20 73.58 7.76 80.51 7.34 87.38 6.93 94.10 6.55 101.13 6.18 109.21 5.82 118.71 5.47 129.41 5.14 140.40 4.83 151.16 4.53 162.78 4.25 175.91 3.98 190.57 3.73 206.98 3.49 224.98 3.26 243.99 3.07 262.96 2.89 280.68 2.75 296.17 2.63 309.12 2.52 319.99 2.43 329.89 2.33 340.19 2.24 352.39 2.13 367.66 2.02 386.49 1.90 408.61 1.78 433.40 1.66 460.02 1.55 487.90 1.45 516.79 1.35 546.83 1.26 578.58 1.17 71 640 71 034 70 398 69 733 69 037 68 310 67 550 66 758 65 928 65 057 64 138 63 164 62 134 61 052 59 914 58 720 57 462 56 130 5+ 713 53 208 51 621 49 951 4» 187 46 313 44 321 42 208 39 973 37 633 35 213 32 738 30 220 27 687 25 179 22 726 20 341 18 028 15 7HN 13 673 11 685 9 856 8 193 6 697 5 372 4 217 3 234 2 418 1 764 1 258 878 603 408 271 178 114 71 43 25 14 7 4 Per year. 121.22 114.39 108.30 102.55 97.10 91.81 87.16 82.42 77.65 72.85 67.80 63.04 58.78 65.05 51.43 47.97 44.51 40.88 37.42 34.39 31.71 29.16 26.55 23.97 21.60 19.41 17.43 15.76 14.37 13.09 11.92 10.95 10.12 9.39 8.66 7.92 7.23 6.62 6.12 5.64 5.18 4.75 4.33 3.94 3.60 3.30 3.06 2.88 2.73 2.63 2.53 2.44 2.34 2.22 2.09 1.95 1.81 1.67 1.55 1.43 1.33 1.23 935 203 863 563 792 529 722 131 652 398 583 361 515 051 447 501 380 743 314 815 249 758 185 620 122 456 060 322 999 270 939 356 880 636 823 174 767 044 712 331 659 123 607 502 557 551 509 364 463 051 418 730 376 522 336 549 298 916 263 703 230 965 200 745 173 058 147 879 125 153 104 812 86 784 70 986 57 313 45 628 35 772 27 579 20 882 15 510 11 293 8 059 5 641 3 877 2 619 1 741 1 138 730 459 281 167 96 53 28 14 7 3 1 Annual rate. 37.17 38.28 39.45 40.68 42.00 43.38 44.84 46.40 48.05 49.83 51.71 53.71 55.83 58.11 60.53 63.17 65.96 69.01 72.31 75.76 79.55 83.61 88.03 92.85 97.94 103.41 109.17 115.34 121.95 128.87 136.24 144.30 152.67 161.81 171.82 182.82 194.55 207.04 220.75 235.29 251.26 268.10 286.53 306.75 325.73 346.02 363.64 380.23 396.83 411.52 129.18 446.43 469.48 495.05 526.32 561.80 602.41 645.16 689.66 740.74 793.65 854.70 152 UNITED STATES LIFE TABLES. TABLE 51 LIFE TABLE FOR MALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (979,411), AND ON THE Note.— An explanation of each column of the life tables is given on pages 25 to 29, and AGE INTERVAL Period of lifetime between two exact ages. x to x+1 Op 100,000 Males Born Alive: Number alive at beginning of age interval. Number dying in age interval. Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. lOOOfe Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Aim: Uniformly Throughout Each Tear. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. measure or VITALITY. Population per death in age interval. W4 POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. T* DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. 1000Z X /T X INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly rate. In year 1 !. Per month. Annual rate. LIFE TABLE FOR fl'HOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 100 000 85 712 82 666 81 204 80 378 79 710 79 168 78 72H 78 371 78 078 77 831 77 613 77 409 77 205 76 987 76 746 76 470 76 149 75 786 75 393 74 978 74 538 74 074 73 588 73 079 72 551 72 003 71 437 711 856 70 264 69 664 69 056 68 441 67 815 67 173 66 510 65 827 65 121 64 406 63 680 62 953 62 221 61 486 60 710 59 970 Annual rate. 14 288 142.88 3 046 35.54 1 462 17.68 826 10.17 ♦ 668 K.31 542 6.81 440 5.55 357 4.53 293 3.74 247 3.16 218 2.80 204 2.63 204 2.64 218 2.82 241 3.14 276 3.60 321 4.20 363 4.77 393 5.19 415 5.50 440 5.86 464 6.22 486 6.57 509 6.91 528 7.24 548 7.55 566 7.86 581 8.13 592 8.35 600 8.54 608 8.73 615 8.91 626 9.14 642 9.48 663 9.87 683 10.26 703 10.68 718 11.03 726 11.26 727 11.43 732 11.62 735 11.82 746 12.13 770 12.67 803 13.39 In years. 46.38 53.06 54.00 53.96 53.51 52.96 52.32 51.61 50.84 50.03 49.19 48.32 47.45 46.57 45.70 44.8 1 44.00 43.19 42.39 41.61 40.84 40.08 39.32 38.58 37.85 37.12 36.40 35.68 34.97 34.26 33.55 32.84 32.13 31.42 30.72 30.02 29.33 28.64 27.95 27.27 26.57 25.88 25.18 24.49 23.80 89 713 S3 915 81 891 80 775 80 031 79 439 78 948 7N 549 78 224 77 954 77 722 77 511 77 307 77 096 76 867 76 608 76 309 75 967 75 589 75 185 74 758 74 306 73 831 73 334 72 815 72 277 71 720 71 146 70 560 69 964 69 360 68 749 68 128 67 494 66 841 66 168 65 476 61 765 61 043 63 317 62 587 61 854 61 113 60 355 59 569 Per year. 6.28 27.55 56.01 97.79 119.81 146.57 179.43 220.03 266.98 315.60 356.52 379.96 378.96 353.65 318.95 277.57 237.72 209.28 192.34 181.17 169.90 160.14 151.92 144.07 137.91 131.89 126.71 122.45 119.19 116.61 114.08 111.79 108.83 105.13 100.82 96.88 93.14 90.20 88.21 87.09 85.50 84.16 81.92 78.38 74.18 Annual rate 4 637 586 21.56 4 547 873 18.85 4 463 958 18.52 4 382 067 18.53 4 301 292 18.69 4 221 261 18.88 4 141 822 19.11 4 062 874 19.38 3 984 325 19.67 3 906 101 19.99 3 828 147 20.33 3 750 425 20.70 3 672 914 21.07 3 595 607 21.47 3 518 511 21.88 3 441 644 22.30 3 365 036 22.73 3 288 727 23.15 3 212 760 23.59 3 137 171 24.03 3 061 986 24.49 2 987 228 24.95 2 912 922 25.43 2 839 091 25.92 2 765 757 26.42 2 692 942 26.94 2 620 665 27.47 2 548 945 28.03 2 477 799 28.60 2 407 239 29.19 2 337 275 29.81 2 267 915 30.45 2 199 166 31.12 2 131 038 31.83 2 063 544 32.55 1 996 703 33.31 1 930 535 34.09 1 865 059 34.92 1 800 294 35.78 1 736 251 36.67 1 672 934 37.64 1 610 347 38.64 1 548 493 39.71 1 -187 380 40.83 1 427 025 42.02 UNITED STATES LIFE TABLES. 153 STATE OF NEW JERSEY: 1901. TABLE 51 REPORTED DEATHS IN 1900 (17,904), IN 1901 (17,077), AND IN 1902 (17,071). illustrative examples, showing how to use the tables, are given on pages 29 to 49. STATIONARY MALE POPULATION, Rate op Complete Expectation or Life. Unaffected by Emigra ion and Immigration, which, Assuming the Mortality Rates in Column A, AGE INTERVAL. Of 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to £+1 lx d r 1000? x e x L* ^-•x/dx T* lOOOZz/Tz 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALE OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 59 167 838 14.17 23.11 58 748 70.11 1 367 456 43.27 46-47 58 329 881 15.09 22.44 57 889 65.71 1 308 708 44.56 47-48 57 448 917 15.97 21.77 56 989 62.15 1 250 819 45.93 48-49 56 531 941 16.65 21.12 56 060 59.57 1 193 830 47.35 49-50 55 590 955 17.17 20.47 55 112 57.71 1 137 770 48.85 50-51 54 635 970 17.76 19.82 54 150 55.82 1 082 658 50.45 51-52 53 665 984 18.33 19.17 53 173 54.04 1 028 508 52.16 52-53 52 681 1 007 19.11 18.51 52 178 51.82 975 335 54.02 53-54 51 674 1 049 20.31 17.87 51 150 48.76 923 157 55.96 54-55 50 625 1 109 21.90 17.22 50 070 45.15 872 007 58.07 55-56 49 516 1 171 23.64 16.60 48 931 41.79 821 937 60.24 56-57 48 345 1 240 25.65 15.99 47 725 38.49 773 006 62.54 57-58 47 105 1 306 27.72 15.40 46 452 35.57 725 281 64.94 58-59 45 799 1 353 29.56 14.82 45 122 33.35 678 829 67.48 59-60 44 446 1 386 31.17 14.26 43 753 31.57 633 707 70.13 60-61 43 060 1 417 32.91 13.70 42 352 29.89 589 954 72.99 Sl-62 41 643 1 442 34.63 13.15 40 922 28.38 547 602 76.05 62-63 40 201 1 474 36.68 12.60 39 464 26.77 506 680 79.37 63-64 38 727 1 526 39.39 12.06 37 964 24.88 467 216 82.92 64-65 37 201 1 591 42.78 11.54 36 406 22.88 429 252 86.66 65-66 35 610 1 655 46.46 11.03 34 783 21.02 392 846 90.66 66-67 33 955 1 720 50.67 10.55 33 095 19.24 358 063 94.79 67-68 32 235 1 769 54.89 10.08 31 350 17.72 324 968 99.21 68-69 30 466 1 783 58.52 9.64 29 574 16.59 293 618 103.73 69-70 28 683 1 769 61.67 9.21 27 798 15. 71 264 044 108.58 70-71 26 914 1 752 65.09 8.78 26 038 14.86 236 246 113.90 71-72 25 162 1 725 68.57 8.35 24 300 14.09 210 208 119.76 72-73 23 437 1 702 72.60 7.93 22 586 13.27 185 908 126.10 73-74 21 735 1 690 77.78 7.51 20 890 12.36 163 322 133.16 74-75 20 045 1 687 84.16 7.11 19 201 11.38 142 432 140.65 75-76 18 358 1 673 91.12 6.71 17 521 10.47 123 231 149.03 76-77 16 685 1 651 98.98 6.34 15 859 9.61 105 710 157.73 77-78 15 034 1 619 107.65 5.98 14 224 8.79 89 851 167.22 78-79 13 415 1 574 117.34 5.64 12 628 8.02 75 627 177.31 79-80 11 841 1 513 127.78 5.32 11 085 7.33 62 999 187.97 80-81 10 328 1 432 138.65 5.03 9 612 6.71 51 914 198.81 81-82 8 896 1 331 149.58 4.76 8 231 6.19 42 302 210.08 82-83 7 565 1 212 160.31 4.50 6 959 5.74 34 071 222.22 83-84 84-85 6 353 1 085 170.74 4.27 5 810 5.36 27 112 234.19 5 268 954 180.99 4.04 4 791 5.03 21 302 247.52 85-86 4 314 825 191.41 3.83 3 902 4.72 16 511 261.10 86-87 87-88 88-89 89-90 3 489 707 202.50 3.62 3 135 4.44 12 609 276.24 2 782 597 214.74 3.41 2 483 4.16 9 474 293.26 2 185 500 228.54 3.20 1 935 3.88 6 991 312.50 1 685 411 244.06 3.00 1 480 3.60 5 056 333.33 90-91 91-92 92-93 93-94 94-95 1 274 333 261.35 2.81 1 108 3.33 3 576 355.87 941 264 280.19 2.62 809 3.07 2 468 381.68 677 203 300.31 2.45 576 2.83 1 659 408.16 474 152 321.51 2.29 398 2.61 1 083 436.68 322 111 343.68 2.14 266 2.41 685 467.29 95-96 96-97 97-98 98-99 99-100 211 77 366.84 2.00 172 2.23 419 500.00 134 53 391.07 1.86 108 2.06 247 537.63 81 34 416.47 1.74 64 1.90 139 574.71 47 21 442.99 1.62 37 1.76 75 617.28 26 12 470.87 1.51 20 1.62 38 662.25 100-101 101-102 102-103 103-104 14 7 7 4 499.96 530.26 1.40 1.31 10 5 1.50 1.39 18 8 714.29 763.36 3 1 2 1 561.72 594.30 1.21 1.13 2 1 1.28 1.18 3 1 826.45 884.96 154 UNITED STATES LIFE TABLES. TABLE 52 LIFE TABLE FOR MALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (1,293,454), AND ON THE Note.— An explanation of each column of the life tables is given on pages 25 to 29, and STATIONARY MALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which. Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Tear. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION in cur- rent AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x+1 h d x lOOOgz «x Lx L x /d x Tx lOOOk/Ts 1 2 3 4 5 6 7 8 9 INFA NT MORTAL TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. Per month. Annua! rate. 0-1 100 000 4 469 44.69 49.08 8 054 21.60 4 908 250 20.37 1-2 95 531 1 147 12.00 51.29 7 913 82.80 4 900 196 19.50 2-3 94 384 1 024 10.85 51.83 7 823 91.68 4 892 283 19.29 3-4 93 360 932 9.99 52.32 7 741 99.72 4 884 460 19.11 4-5 92 428 848 9.17 52.76 7 667 108.48 4 876 719 18.95 5-6 91 580 768 8.38 53.17 7 600 118.80 4 869 052 18.81 6-7 90 812 691 7.61 53.53 7 539 130.92 4 861 452 18.68 7-8 90 121 617 6.85 53.86 7 484 145.56 4 853 913 18.57 8-9 89 504 551 6.15 54.15 7 436 162.00 4 846 429 18.47 9-10 88 953 492 5.54 54.40 7 392 180.24 4 838 993 18.38 10-11 88 461 450 5.08 54.62 7 353 196.08 4 831 601 18.31 11-12 88 Oil 430 4.89 54.81 7 316 204.12 4 824 248 18.24 LIF] 3 TABLE FOl I WHOLE RA1 •TGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 12 419 124.19 49.08 91 318 7.35 4 908 250 20.37 1-2 87 581 2 599 29.67 55.00 86 048 33.11 4 816 932 18.18 2-3 84 982 1 229 14.47 55.67 84 331 68.62 4 730 884 17.96 3-4 83 753 697 8.32 55.48 83 390 119.64 4 646 553 18.02 4-5 83 056 528 6.36 54.94 82 781 156.78 4 563 163 18.20 5-6 82 528 421 5.10 54.29 82 317 195.53 4 480 382 18.42 6-7 82 107 389 4.37 53.57 81 928 228.21 4 398 065 18.67 7-8 81 748 307 3.75 52.80 81 595 265.78 4 316 137 18.94 8-9 81 441 263 3.24 52.00 81 310 309.16 4 234 542 19.23 9-10 81 178 231 2.84 51.16 81 063 350.92 4 153 232 19.55 10-11 80 947 206 2.55 50.31 80 844 392.45 4 072 169 19.88 11-12 80 741 193 2.38 49.43 80 645 417.85 3 991 325 20.23 12-13 80 548 187 2.33 48.55 80 455 430.24 3 910 680 20.60 13-14 80 361 191 2.37 47.66 80 266 420.24 3 830 225 20.98 14-15 80 170 200 2.50 46.78 80 070 400.35 3 749 959 21.38 15-16 79 970 214 2.67 45.89 79 863 373.19 3 669 889 21.79 16-17 79 756 238 2.99 45.01 79 637 334.61 3 590 026 22.22 17-18 79 518 275 3.46 44.15 79 380 288.65 3 519 389 22.65 18-19 79 243 318 4.01 43.30 79 084 248.69 3 431 009 23.09 19-20 78 925 360 4.56 42.47 78 745 218.74 3 351 925 23.55 20-21 78 565 405 5.15 41.66 78 363 193.49 3 273 180 24.00 21-22 78 160 434 5.56 40.88 77 943 179.59 3 194 817 24.46 22-23 77 726 444 5.71 40.10 77 504 174.56 3 116 874 24.94 23-24 77 282 440 5.69 39.33 77 062 175.14 3 059 370 25.43 24-25 76 842 439 5.71 38.55 76 623 174.54 2 962 308 25.94 25-26 76 403 438 5.74 37.77 76 184 173.94 2 885 685 26.48 26-27 75 965 442 5.82 36.98 75 744 171.37 2 809 501 27.04 27-28 75 523 455 6.02 36.20 75 296 165.49 2 733 757 27.62 28-29 75 068 473 6.31 35.41 74 832 158.21 2 658 461 28.24 29-30 74 595 492 6.60 34.64 74 349 151.12 2 583 629 28.87 30-31 74 103 511 6.89 33.86 73 847 144.51 2 509 280 29.53 31-32 73 592 536 7.28 33.09 73 324 136.80 2 435 433 30.22 32-33 73 056 568 7.78 32.33 72 772 128.12 2 362 109 30.93 33-34 72 488 605 8.33 31.58 72 185 119.31 2 289 337 31.67 34-35 71 883 638 8.89 30.84 71 564 112.17 2 217 152 32.43 35-36 71 245 674 9.46 30.12 70 908 10.5.20 2 145 588 33.20 36-37 70 571 702 9.94 29.40 70 220 100.03 2 074 680 34.01 37-38 69 869 718 10.29 28.69 69 510 96.81 2 004 460 34.86 38-39 69 151 730 10.55 27.98 68 786 94.23 1 934 950 35.74 39-40 68 421 742 10.84 27.27 68 050 91.71 1 866 164 36.67 40-41 67 679 754 11.14 26.57 67 302 89.26 1 798 114 37.64 41-42 66 925 769 11.49 25.86 66 541 86.53 1 730 812 38.67 42-43 66 156 790 11.95 25.16 65 761 83.24 1 664 271 39.75 43-44 65 366 817 12.50 24.45 64 958 79.51 1 598 510 40.90 44-45 64 549 845 13.09 23.76 64 126 75.89 1 533 552 42.09 UNITED STATES LIFE TABLES. STATE OF NEW JERSEY: 1910. REPORTED DEATHS IN 1909 (19,621), IN 1910 (21,223), AND IN 1911 (20,811). illustrative examples, showing how to use the tables, are given on pages 29 to 49. 155 TABLE 52 STATIONARY MALE POPULATION, .. Rate or Complete Expectation of Life. Unaffected by Emigral on and Immigration, which. Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. ! Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. ■ Period of lifetime Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 Average length of life remaining to each one alive at beginning of age interval. Including only those in current Population per death in age interval. Sum of numbers in column 6 in cur- Average annual death rate per thousand of pop- between two exact ages. alive at begin- ning of age interval. month or year of age. rent and all older age intervals. ulation in cur- rent and all older age intervals. ■ X to x-\-l lx d x 1000g x e x L* LjMr Tr lOOOZz/Tz 1 j 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 63 704 877 13.77 23.07 63 265 72.14 1 469 426 43.35 46-47 62 827 907 14.43 22.38 62 374 68.77 1 406 161 44.68 ( 47-48 61 920 928 15.00 21.70 61 456 66.22 1 343 787 46.08 48-49 60 992 946 15.50 21.02 60 519 63.97 1 282 331 47.57 49-50 60 046 963 16.04 20.35 59 565 61.85 1 221 812 49.14 50-51 59 083 979 16.57 19.67 ' 58 594 59.85 1 162 247 50.84 51-52 58 104 1 006 17.32 18.99 57 601 57.26 1 103 653 52.66 52-53 57 098 1 054 18.46 18.32 56 571 53.67 1 046 052 54.59 53-54 56 044 1 123 20.04 17.66 55 482 49.41 989 481 56.63 54-55 54 921 1 200 21.84 17.01 54 321 45.27 933 999 58.79 55-56 53 721 1 291 24.04 16.37 53 076 41.11 879 678 61.09 56-57 52 430 1 382 26.37 15.77 51 739 37.44 826 602 63.41 57-58 51 048 1 451 28.41 15.18 50 323 34.68 774 863 65.88 58-59 49 597 1 495 30.14 14.61 48 850 32.68 724 540 68.45 : 59-60 48 102 1 541 32.05 14.05 47 332 30.72 675 690 71.17 ( 60-61 46 561 1 583 33.99 13.50 45 770 28.91 628 358 74.07 61-62 44 978 1 626 36.16 12.95 44 165 27.16 582 588 77.22 62-63 43 352 1 683 38.81 12.42 42 510 25.26 538 423 80.52 63-64 41 669 1 745 41.89 11.90 40 796 23.38 495 913 84.03 64-65 39 924 1 798 45.02 11.40 39 025 21.70 455 117 87.72 65-66 38 126 1 841 48.30 10.91 37 206 20.21 416 092 91.66 66-67 36 285 1 872 51.58 10.44 35 349 18.88 378 886 95.79 67-68 34 413 1. 884 54.75 9.98 33 471 17.77 343 537 100.20 68-69 32 529 1 884 57.93 9.53 31 587 16.77 310 066 104.93 69-70 ! 30 645 1 879 61.30 9.09 29 705 15.81 278 479 110.01 70-71 i 28 766 1 863 64.77 8.65 27 834 14.94 248 774 115.61 71-72 26 903 1 853 68.88 8.21 25 976 14.02 220 940 121.80 72-73 25 050 1 858 74.15 7.78 24 121 12.98 194 964 128.53 73-74 23 192 1 869 80.61 7.37 22 258 11.91 170 843 135.69 74-75 21 323 1 875 87.93 6.97 20 385 10.87 148 585 143.47 75-76 19 448 1 880 96.67 6.59 18- 508 9.84 128 200 151.75 76-77 17 568 1 858 105.79 6.24 16 639 8.96 109 692 160.26 77-78 15 710 1 791 113.99 5.92 14 814 8.27 93 053 168.92 78-79 13 919 1 689 121.32 5.62 13 075 7.74 78 239 177.94 79-80 12 230 1 588 129.87 5.33 11 436 7.20 65 164 187.62 80-81 10 642 1 487 139.69 5.05 9 899 6.66 53 728 198.02 81-82 9 155 1 365 149.11 4.79 8 473 6.21 43 829 208.77 82-83 7 790 1 235 158.53 4.54 7 173 5.81 35 356 220.26 83-84 6 555 1 103 168.32 4.30 6 004 5.44 28 183 232.56 84-85 5 452 974 178.68 4.07 4 965 5.10 22 179 245.70 85-86 4 478 850 189.83 3.84 4 053 4.77 17 214 260.42 86-87 3 628 733 201.95 3.63 ! 3 261 4.45 13 161 275.48 87-88 2 895 623 215.14 3.42 2 584 4.15 9 900 292.40 88-89 2 272 521 229.40 3.22 2 012 3.86 7 316 310.56 89-90 1 751 428 241.70 3.03 1 537 3.59 5 304 330.03 90-91 1 323 346 260.93 2.85 1 150 3.33 3 767 350.88 91-92 977 271 278.01 2.68 842 3.10 2 617 373.13 92-93 706 209 295.91 2.52 601 2.88 1 775 396.83 93-94 497 156 314.63 2.36 419 2.68 1 174 423.73 94-95 341 114 334.24 2.22 284 2.49 755 450.45 95-96 227 81 354.88 2.08 186 2.32 471 480.77 96-97 146 55 376.61 1.95 119 2.16 285 512.82 97-98 91 36 399.49 1.83 73 2.00 166 546.45 98-99 55 23 423.53 1.71 13 1.86 93 584.80 99-100 32 15 448.61 1.60 24 1.73 50 625.00 100-101 17 8 474.90 1.50 13 1.61 26 666.67 101-102 9 4 502.45 1.40 7 1.49 13 714.29 102-103 5 3 531.30 1.30 3 1.38 6 769.23 103-104 2 1 561.47 1.22 2 1.28 3 819.67 104-105 1 1 592.96 1.13 1 1.19 1 884.96 156 UNITED STATES LIFE TABLES. TABLE 53 LIFE TABLE FOR FEMALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (975,950), AND ON THE Note.— An explanation of each column of the life tables is given on pages 25 to 29, and AGE INTERVAL. Of 100,000 Females Born Alive: Rate of Mortality per Thousand. Complete Expectation of Life. STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughont Each Year. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at "begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x+1 lx 4 iooo ?x «x ~L X W4r Tr lOOOk/Tz 1 2 3 4 5 6 7 8 9 INFA NT MORTAL! TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE VtONTH. ' Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly rate. In years. Per month. Annual rate. \ ' • ; LIF] £ TABLE FO R WHOLE RA *JGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 6-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 10-41 (1-42 12-43 -13-44 14-45 100 000 88 334 85 397 84 085 83 198 82 522 82 022 81 608 81 266 80 981 80 740 80 527 80 331 80 138 79 937 79 718 79 474 79 197 78 886 78 544 78 175 77 776 77 348 76 896 76 426 75 940 75 439 74 924 71 396 73 859 73 312 72 757 72 192 71 621 71 016 70 470 69 892 69 314 68 732 68 137 67 523 66 889 66 231 65 553 64 865 11 666 2 937 1 312 887 676 500 414 342 285 241 213 196 193 201 219 244 277 311 342 369 399 428 452 470 486 501 615 528 537 547 555 565 571 575 576 578 578 582 595 614 634 658 678 688 693 Annual rate. 116.66 33.25 15.36 10.55 8.13 6.06 5.05 4.20 3.50 2.98 2.63 2.11 2.41 2.51 2.74 3.06 3.48 3.92 4.33 4.71 5.10 5.50 5.81 6.12 6.36 6.59 6.83 7.04 7.23 7.40 7.58 7.76 7.91 8.03 8.11 8.20 8.27 8.10 8.66 9.01 9.39 9.84 10.23 10.50 10.69 In years. 50.45 56.08 56.99 56.88 56.48 55.94 55.27 54.55 53.78 52.97 52.12 51.26 50.38 49.50 48.63 47.76 46.90 16.07 45.25 44.44 43.65 42.87 42.10 41.35 40.60 39.86 39.12 38.38 37.65 36.92 36.19 35.47 34.74 34.01 33.28 32.55 31.82 31.08 30.34 29.60 28.86 28.13 27.41 26.68 25.96 91 717 86 601 S4 702 83 624 82 847 82 272 81 815 81 437 81 123 80 860 80 634 80 429 80 234 80 037 79 827 79 596 79 335 79 042 78 715 78 360 77 975 77 562 77 122 76 661 76 183 75 689 75 181 74 660 74 128 73 585 73 034 72 475 71 907 71 334 70 758 70 181 69 603 69 023 68 434 67 830 67 206 66 560 65 892 65 209 64 519 Per year. 7.86 29.49 64.56 94.28 122.55 164.54 . 197.62 238.12 284.64 335.52 378.56 110.35 415.72 398.19 364.51 326.21 286.41 254.15 230.18 212.36 195.43 181.22 170.62 163.11 156.76 151.08 145.98 141.40 138.04 134.52 131.59 128.27 125.93 124.06 122.84 121.12 120.42 118.60 115.02 110.47 106.00 101.16 97.19 94.78 93.10 5 045 407 4 953 690 4 867 089 4 782 387 4 698 763 4 615 916 4 533 644 4 451 829 4 370 392 4 289 269 4 208 409 4 127 775 4 047 346 3 967 112 3 887 075 3 807 248 3 727 652 3 648 317 3 569 275 3 490 560 3 112 200 3 334 225 3 256 663 3 179 541 3 102 880 3 026 697 2 951 008 2 875 827 2 801 167 2 727 039 2 653 454 2 580 420 2 507 945 2 436 038 2 364 704 2 293 946 2 223 765 2 154 162 2 085 139 2 016 705 1 948 875 1 S81 669 1 815 109 1 749 217 1 684 008 Annual rate. ■ 19.82 17.83 17.55 17.58 17.71 1 17.88 18.09 18.33 18.59 18.88 19.19 19.51 19.85 20.20 20.56 20.94 21.32 21.71 22.10 22.50 22.91 23.33 23.75 24.18 24.63 25.09 25.56 26.06 26.56 27.09 27.63 28.19 28.79 29.40 30.05 30.72 31.43 32. IS 32.96 33.78 34.65 35.55 36.48 37.48 38.52 UNITED STATES LIFE TABLES. THE STATE OF NEW JERSEY: 1901. REPORTED DEATHS IN 1900 (15,535), IN 1901 (14,714), AND IN 1902 (14,311). illustrative examples, showing how to use the tables, are given on pages 29 to 49. 157 TABLE 53 Rate of Mortality PER Thousand. STATIONARY FEMALE POPULATION, AGE INTERVAL. Of 100,000 Females Born 1 Alivf. • Complete Expectation Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. of Life. POPULATION m MEASURE OF POPULATION IN CUR- DEATH RATE CURRENT AGE INTERVAL. VITALITY. RENT AND ALL OLDER AGE INTERVALS. PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual •death rate per thousand of pop- ulation in cur- rent and all older age intervals. X toz-f-l lx d x lOOOgs e x Lj; W^z T* loooyTz I 2 3 i B 1 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 64 172 701 10.93 25.24 63 821 91.04 1 619 489 39.62 46-47 63 471 711 11.19 24.51 63 115 88.77 1 555 668 40.80 47-48 62 760 729 11.61 23.78 62 396 85.59 1 492 553 ■12.05 48-49 62 031 762 12.29 23.06 61 650 80.91 1 430 157 13.37 49 -SO 61 269 806 13.15 22.34 60 866 75.52 1 368 507 44.76 50-51 60 463 848 14.03 21.63 60 039 70.80 1 307 641 46.23 51-52 59 615 892 14.96 20.93 59 169 66.33 1 247 602 47.78 52-53 58 723 935 15.92 20.24 58 255 62.30 1 188 433 49.41 53-54 57 788 978 16.92 19.56 57 299 58.59 1 130 178 51.12 54-55 56 810 1 024 18.02 18.89 56 298 54.98 1 072 879 52.94 55-56 55 786 1 074 19.26 18.22 55 249 51.14 1 016 581 54.88 56-57 54 712 1 132 20.68 17.57 54 146 47.83 961 332 56.92 57 -58 53 580 1 189 22.20 16.93 52 986 44.56 907 186 59.07 58-59 52 391 1 240 23.66 16.30 51 771 41.75 851 200 61.35 59-60 51 151 1 281 25.04 15.69 50 511 39.43 802 429 63.73 60-61 49 870 1 320 26.49 15.08 49 210 37.28 751 918 66.31 61-62 48 550 1 356 27.93 14.47 47 872 35.30 702 708 69.11 62-63 47 194 1 395 29.55 13.88 46 496 33.33 654 836 72.05 63-64 45 799 1 446 31.58 13.28 45 076 31.17 60S 340 75.30 64-65 41 353 1 512 34.09 12.70 43 597 28.83 563 264 78.74 65-66 42 841 1 578 36.83 12.13 42 052 26.65 519 667 82.44 66-67 41 263 1 648 39.93 11.57 40 439 24.54 477 615 86.43 67-68 39 615 1 719 43.41 11.04 38 755 22.55 437 176 90.58 68-69 37 896 1 787 47.13 10.51 37 002 20.71 398 421 95.15 69-70 36 109 1 840 50.98 10.01 35 189 19.12 361 419 99.90 70-71 34 269 1 891 55.17 9.52 33 323 17.62 326 230 105.04 71-72 32 378 1 933 59.70 9.05 31 412 16.25 292 907 110.50 72-73 30 445 1 961 61.41 8.59 29 465 15.03 261 495 116.41 73-74 28 484 1 977 69.40 8.J?5 27 496 13.91 232 030 122.70 74-75 26 507 1 984 74.86 7.72 2.5 515 12.86 204 534 129.53 75-76 21 523 1 985 80.95 7.30 23 530 11.85 179 019 136.99 76-77 22 538 1 980 87.84 6.90 21 548 10.88 155 489 144.93 77-78 20 558 1 962 95.41 6.52 19 577 9.98 133 941 153.37 78-79 18 596 1 923 103.46 6.15 17 635 9.17 114 364 162.60 79-80 16 673 1 868 112.02 5.80 15 739 8.43 96 729 172.11 80-81 14 805 1 793 121.08 5.47 13 909 7.76 80 990 182.82 81-82 13 012 1 700 130.63 5.16 12 162 7.16 67 081 193.80 82-83 11 312 1 591 110.68 4.85 10 517 6.61 51 919 206.19 83-84 9 721 1 471 151.34 4.57 8 985 6.11 41 402 218.82 84-85 8 251) 1 343 162.73 4.29 7 579 5.65 35 417 233.10 85-86 6 907 1 208 175.00 4.03 6 303 5.21 27 838 248.14 86-87 5 699 1 073 188.28 3.78 5 162 4.81 21 535 264.55 87-88 4 626 938 202.65 3.54 4 157 4.43 16 373 282.49 88-89 3 688 804 218.16 3.31 3 286 4.08 12 216 302.11 89-90 2 884 677 231.79 3.10 2 545 3.76 8 930 322.58 90-91 2 207 558 252.52 2.89 1 928 3.46 6 385 346.02 91-92 1 649 447 271.33 2.70 1 426 3.19 4 457 370.37 92-93 ' 1 202 350 291.20 2.52 1 027 2.93 3 031 396.83 93-94 852 266 312.18 2.35 719 2.70 2 004 425.53 94-95 586 196 334.32 2.19 488 2.49 1 285 456.62 95-96 390 139 357.68 2.04 320 2.30 797 490.20 96-97 251 96 382.25 1.90 203 2.12 477 526.32 97-98 155 63 408.17 1.77 123 1.95 27 t 564.97 98-99 92 40 435.37 1.65 72 1.80 151 606.06 99-100 52 24 463.85 1.53 40 1.66 79 653.59 100-101 28 14 493.60 1.42 21 1.53 39 704.23 101-102 14 7 524.58 1.32 10 1.11 18 757.58 102-103 7 4 556.78 1.23 5 1.30 8 813.01 103-104 3 2 590.14 1.14 2 1.19 3 877.19 104-105 1 1 624.56 1.06 1 1.10 1 943.40 158 UNITED STATES LIFE TABLES. TABLE 54 LIFE TABLE FOR FEMALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (1,257,500), AND ON THE Note. — An explanation of each column of the life tables is given on pages 25 to 29, and 1*— STATIONARY FEMALE POPULATION, Rate of oomplete Expectation of Life. Unaffected by Emigra ion and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x+1 ^x d x 1000?s e x Lj; Tj x /dx T x IOOOZj/Ts 1 2 3 4 5 6 1 8 9 INFA NT MORTALI TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. Per month. Annual rate. 0-1 100 000 3 442 34.42 52.80 8 118 28.32 5 280 055 18.94 1-2 96 558 922 9.55 54.60 8 008 104.28 5 271 937 18.32 2-3 95 636 831 8.69 55.04 7 935 114.60 5 263 929 18.17 3-4 94 805 752 7.93 55.44 7 869 125.52 5 255 994 18.04 4-5 94 053 684 7.28 55.80 7 809 137.04 5 248 125 17.92 5-6 93 369 631 6.75 56.12 7 754 147.48 5 240 316 17.82 6-7 92 738 588 6.34 56.42 7 704 157.20 5 232 562 17.72 7-8 92 150 552 5.99 56.70 7 656 166.44 5 224 858 17.64 8-9 91 598 519 5.66 56.96 7 612 176.04 5 217 202 17.56 9-10 91 079 486 5.34 57.20 7 570 186.96 5 209 590 17.48 10-11 90 593 451 4.99 57.42 7 531 200.40 5 202 020 17.42 11-12 90 142 424 4.70 57.63 7 494 212.04 5 194 489 17.35 LIF] 5 TABLE FOl I WHOLE RA1 ?GE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 10 282 102.82 52.80 93 060 9.05 5 280 055 18.94 1-2 89 718 2 510 27.98 57.81 88 237 35.15 5 186 995 17.30 2-3 87 208 1 066 12.22 58.47 86 643 81.28 5 098 758 17.10 3-4 86 142 696 8.07 58.18 85 780 123.25 5 012 115 17.19 4-5 85 446 528 6.18 57.65 85 172 161.31 4 926 335 17.35 5-6 84 918 410 4.84 57.01 84 713 206.62 4 841 163 17.54 6-7 84 508 352 4.17 56.28 84 332 239.58 4 756 450 17.77 7-8 84 156 301 3.58 55.52 84 005 279.09 4 672 118 18.01 8-9 83 855 260 3.09 54.71 83 725 322.02 4 588 113 18.28 9-10 83 595 227 2.72 53.88 83 482 367.76 4 504 388 18.56 10-11 83 368 205 2.46 53.03 83 266 406.18 4 420 906 18.86 11-12 83 163 193 2.32 52.16 83 066 430.39 4 337 640 19.17 12-13 82 970 190 2.29 51.28 82 875 436.18 4 254 574 19.50 13-14 82 780 193 2.34 50.40 82 684 428.41 4 171 699 19.84 14-15 82 587 204 2.47 49.51 82 485 404.34 4 089 015 20.20 15-16 82 383 219 2.66 48.63 82 273 375.68 4 006 530 20.56 16-17 82 164 239 2.90 47.76 82 044 343.28 3 924 257 20.94 17-18 81 925 260 3.18 46.90 81 795 314.60 3 842 213 21.32 18-19 81 665 286 3.49 46.05 81 522 285.04 3 760 418 21.72 19-20 81 379 310 3.82 45.21 81 224 262.01 3 678 896 22.12 20-21 81 069 338 4.16 44.38 80 900 239.35 3 597 672 22.53 21-22 80 731 360 4.47 43.56 80 551 223.75 3 516 772 22.96 22-23 80 371 378 4.70 42.75 80 182 212.12 3 436 221 23.39 23-24 79 993 391 4.89 41.95 79 797 204.08 3 356 039 23.84 24-25 79 602 406 5.10 41.16 79 399 195.56 3 276 242 24.30 25-26 79 196 421 5.32 40.37 78 985 187.61 3 196 843 24.77 26-27 78 775 433 5.50 39.58 78 558 181.43 3 117 858 25.27 27-28 78 342 440 5.61 38.80 78 122 177.55 3 039 300 25.77 28-29 77 902 443 5.69 38.01 77 680 175.35 2 961 178 26.31 29-30 77 459 447 5.77 37.23 77 235 172.79 2 883 498 26.86 30-31 77 012 449 5.83 36.44 76 788 171.02 2 806 263 •27.44 31-32 76 563 459 5.99 35.65 76 334 166.31 2 729 475 28.05 32-33 76 104 481 6.33 34.86 75 864 157.72 2 653 141 28.69 33-34 7.5 623 511 6.75 34.08 75 368 147.49 2 577 277 29.34 34-35 75 112 536 7.14 33.31 74 844 139.63 2 501 909 30.02 35-36 74 576 563 7.55 32.54 74 294 131.96 2 427 065 30.73 36-37 74 013 581 7.85 31.79 73 722 126.89 2 352 771 31.46 37-38 73 432 588 8.00 31.04 73 138 12 4.38 2 279 049 32.22 38-39 72 844 586 8.05 30.28 72 551 123.81 2 205 911 33.03 39-40 72 258 587 8.12 29.52 71 965 122.60 2 133 360 33.88 10-41 71 671 588 8.21 28.76 71 377 121.39 2 061 395 34.77 41-42 71 083 593 8.35 28.00 70 786 119.37 1 990 018 35.71 42-43 70 490 607 8.61 27.23 70 186 115.63 1 919 232 36.72 43-44 69 883 627 8.97 26.46 69 569 110.96 1 849 046 37.79 44-45 69 256 648 9.36 25.69 68 932 106.38 1 779 477 38.93 UNITED STATES LIFE TABLES. 159 THE STATE OF NEW JERSEY: 1910. REPORTED DEATHS IN 1909 (16,689), IN 1910 (18,281), AND IN 1911 (17,806). illustrative examples, showing how to use the tables, aro given on pages 29 to 49. TABLE 54 STATIONARY FEMALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, AGE INTERVAL. Op 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUE- RENT AND ALL OLDEE AGE INTERVALS. DEATH KATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x+1 lx dx 1000?! o e x Lx Lr/dj; T x lOOO^/Tz 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE DF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 68 608 672 9.79 24.93 68 272 101.60 1 710 545 40.11 46-47 67 936 701 10.32 24.17 67 586 96.41 1 642 273 41.37 47-48 67 235 739 10.99 23.42 66 866 90.48 1 574 687 42.70 48-49 66 496 780 11.73 22.68 66 106 84.75 1 507 821 44.09 49-50 65 716 823 12.52 21.94 65 305 79.35 1 441 715 45.58 50-51 64 893 867 13.36 21.21 64 460 74.35 1 376 410 47.15 51-52 64 026 913 14.26 20.49 63 570 69.63 1 311 950 48.80 52-53 63 113 965 15.29 19.78 62 631 64.90 1 248 380 50.56 53-54 62 148 1 026 16.52 19.08 61 635 60.07 1 185 749 52.41 54-55 61 122 1 097 17.95 18.39 60 573 55.22 1 124 114 54.38 55-56 60 025 1 182 19.68 17.72 59 434 50.28 1 063 541 56.43 56-57 58 843 1 263 21.47 17.06 58 212 46.09 i 004 107 58.62 57-58 57 580 1 326 23.02 16.43 56 917 42.92 945 895 60.86 58-59 56 254 1 368 24.33 15.80 55 570 40.62 888 978 63.29 59-60 54 886 1 412 25.73 15.18 54 180 38.37 833 408 65.88 60-61 53 474 1 448 27.07 14.57 52 750 36.43 779 228 68.63 61-62 52 026 1 499 28.82 13.96 51 277 34.21 726 478 71.63 62-63 50 527 1 585 31.36 13.36 49 735 31.38 675 201 74.85 63-64 48 942 1 693 34.60 12.78 48 096 28.41 625 466 78.25 64-65 47 249 1 794 37.98 12.22 46 352 25.84 577 370 81.83 65-66 45 455 1 894 41.67 11.68 44 508 23.50 531 018 85.62 66-67 43 561 1 974 45.32 11.17 42 574 21.57 486 510 89.53 67-68 41 587 2 021 48.59 10.67 40 576 20.08 443 936 93.72 68-69 39 566 2 042 51.61 10.19 38 545 18.88 403 360 98.14 69-70 37 524 2 060 54.91 9.72 36 494 17.72 364 815 102.88 70-71 35 464 2 070 58.36 9.26 34 429 16.63 328 321 107.99 71-72 33 394 2 079 62.27 8.80 32 355 15.56 293 892 113.64 72-73 31 315 2 098 67.00 8.35 30 266 14.43 261 537 • 119.76 73-74 29 217 2 119 72.54 7.92 28 157 13.29 231 271 126.26 74-75 27 098 2 130 78.59 7.50 26 033 12.22 203 114 133.33 75-76 24 968 2 132 85.40 7.09 j 23 902 11.21 177 081 141.04 76-77 22 836 2 116 92.64 6.71 21 778 10.29 153 179 149.03 77-78 20 720 2 072 100.02 6.34 19 684 9.50 131 401 157.73 78-79 18 648 2 009 107.73 5.99 17 643 8.78 111 717 166.94 79-80 16 639 1 943 116.77 5.65 15 667 8.06 94 074 176.99 80-81 14 696 1 876 127.64 5.34 13 758 7.33 78 407 187.27 81-82 12 820 1 778 138.74 5.04 11 931 6.71 64 649 198.41 82-83 11 042 1 655 149.88 4.77 10 214 6.17 52 718 209.64 83-84 9 387 1 515 161.34 4.53 8 629 5.70 42 504 220.75 84-85 7 872 1 361 172.89 4.30 7 192 5.28 33 875 232.56 85-86 6 511 1 200 184.31 4.10 5 911 4.93 26 683 243.90 86-87 5 311 1 038 195.39 3.91 4 792 4.62 20 772 255.75 87-88 4 273 880 206.05 3.74 3 833 4.35 15 980 267.38 88-89 3 393 734 216.28 3.58 3 026 4.12 12 147 279.33 89-90 2 659 601 226.20 3.43 2 358 3.92 9 121 291.55 90-91 2 058 486 236.02 3.29 1 815 3.74 6 763 303.95 91-92 92-93 93-94 94-95 1 572 387 245.99 3.15 1 379 3.57 4 948 317.46 1 185 304 256.39 3.01 1 033 3.40 3 569 332.23 881 235 267.43 2.88 764 3.24 2 536 347.22 646 181 279.28 2.75 556 3.08 1 772 363.64 95-96 96-97 97-98 98-99 99-100 465 136 292.17 2.62 397 2.92 1 216 381.68 329 100 305.87 2.49 279 2.77 819 401.61 229 74 320.40 2.37 192 2.62 540 421.94 155 52 335.86 2.25 129 2.48 348 444.44 103 36 352.32 2.13 85 2,34 219 469.48 100-101 101-102 102-103 103-104 104-105 67 25 369.87 2.01 54 2.20 134 497.51 42 16 388.64 1.90 34 2.07 80 526.32 26 11 408.73 1.79 20 1.95 46 558.66 15 6 430.30 1.69 12 1.82 26 591.72 9 4 453.52 1.58 7 1.70 14 632.91 105-106 106-107 107-108 1 5 2 3 478.60 1.48 4 1.59 7 675.68 1 505.78 1.38 2 1.48 3 724.64 1 1 535.38 1.29 1 1.37 1 775.19 160 TABLE 55 UNITED STATES LIFE TABLES. LIFE TABLE FOR MALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (3,721,173), AND ON THE Note. — An explanation of each column of the life tables is given on pages 25 to 29, and AGE INTERVAL. Period of lifetime between two exact ages. x to x-\-l Of 100,000 Males Born Alive: Number alive at beginning of age interval. Rate of Mortality per Thousand. Number dying in age interval Number dying in age interval among 1,000 alive at begin- ning of age interval. W00q x Complete Expectation of Life. Average length of iife remaining to each one alive at beginning of age interval. e x STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Tear. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. L* MEASURE OF VITALITY. Population per death in age interval. W^z POPULATION IN CUK- BENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. ioooyT x INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. O-l 1--2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly rate. In years Per month. Annual rate. LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. O-l 100 OOO 13 818 138.18 15.62 90 051 6.52 4 561 973 21.92 1-2 86 182 3 600 41.78 51.89 84 058 23.35 4 471 922 19.27 2-3 82 582 1 564 18.94 53.13 81 753 52.27 4 387 864 18.82 3-4 81 018 994 12.26 53.15 80 501 80.99 4 306 111 18.81 4-5 80 024 743 9.20 52.80 79 638 107.18 4 225 610 18.94 5-6 79 281 562 7.09 52.2!) 79 000 140.57 4 145 972 19.12 6-7 78 719 454 5.77 51.66 78 492 172.89 4 066 972 19.36 7-8 78 265 366 4.69 50.96 78 0S2 213.34 3 988 180 19.62 8-9 77 899 299 3.84 50.20 77 719 260.03 3 910 398 19.92 9-10 77 600 249 3.21 49.39 77 475 311.14 3 832 649 20.25 10-11 77 351 216 2.80 48.55 77 213 357.61 3 755 174 20.60 11-12 77 135 199 2.58 47.68 77 035 387.11 3 677 931 20.97 12-13 76 936 197 2.56 46.80 76 837 390.04 3 600 S96 21.37 13-14 76 739 208 2.71 45.92 76 635 368.44 3 524 059 21.78 14-15 76 531 230 3.00 45.05 76 416 332.24 3 447 424 22.20 15-16 76 301 262 3.44 44.18 76 170 290.73 3 371 008 22.03 16-17 76 039 304 4.00 43.33 75 887 249.63 3 294 838 23.08 17-18 75 735 347 4.58 42.50 75 561 217.76 3 218 951 23.53 18-19 75 388 385 5.10 41.70 75 196 195.31 3 113 390 23.98 19-20 75 003 417 5.56 40.91 74 795 179.36 3 068 194 21.44 20-21 74 586 452 6.06 40.13 74 360 164.51 2 993 399 24.92 21-22 74 134 486 6.56 39.38 73 891 152.04 2 919 039 25.39 22-23 73 648 515 7.00 38.63 73 390 142.50 2 845 148 25.89 23-24 73 133 538 7.35 37.90 72 864 135.43 2 771 758 26.39 24-25 72 595 555 7.65 37.18 72 317 130.30 2 698 894 26.90 2.5-26 72 040 572 7.94 36.46 71 754 125.44 2 626 577 27.43 26-27 71 468 588 8.22 35.75 71 174 121.04 2 554 823 27.97 27-28 70 880 «04 8.52 35.04 70 578 116.85 2 183 649 28.54 28-29 70 276 622 8.86 34.34 69 965 112.48 2 413 071 29.12 29-30 69 654 643 9.23 33.64 69 333 107.83 2 313 106 29.73 30-31 69 Oil 662 9.60 32.95 68 680 103.75 2 273 773 30.35 31-32 68 349 683 9.99 32.26 68 007 99.57 2 205 093 31.00 32-33 67 666 702 10.37 31.58 67 315 95.89 2 137 086 31 .67 33-34 66 964 717 10.71 30.91 66 608 92.90 2 069 771 32.35 34-35 66 247 731 11.03 30.24 65 882 90.13 2 003 165 33.07 35-36 65 516 744 11.36 29.57 65 144 87.56 1 937 283 33.82 36-37 64 772 757 11.68 28.90 64 394 85.06 1 872 139 34.60 37-38 64 015 770 12.02 28.24 63 630 82.64 1 807 745 35.41 38-39 63 245 781 12.40 27.58 62 853 80.17 1 714 115 36.26 39-40 62 461 799 12.80 26.92 62 061 77.67 1 681 262 37.15 40-41 61 662 816 13.23 26.26 61 254 75.07 1 619 201 38.08 41-42 60 846 833 13.69 25.60 60 429 72.54 1 557 947 39.06 42-43 60 013 848 14.14 21.95 59 589 70.27 1 497 518 40.08 43-44 59 165 860 14.53 24.30 58 735 68.30 1 437 929 41.15 44-45 58 305 870 14.92 23.65 57 870 66.52 1 379 194 42.28 UNITED STATES LIFE TABLES. 161 THE STATE OF NEW YORK: 1901. REPORTED DEATHS IN 1900 (69,687), IN 1901 (70,070), AND IN 1902 (66,841). illustrative examples, showing how to use the tables, are given on pages 29 to 49. TABLE 55 STATIONARY MALE POPULATION, . Rate of Complete Expectation op Life. Unaffected by Emigral on and Immigration, which. Assuming the Mortality Rates in Column i. AGE INTERVAL. Op 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Tear. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of lite remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x tos+l lx dx 1000^ e x L* L-xMz Tx loooyTs 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 15-46 57 435 882 15.35 23.01 56 994 64.62 1 321 324 43.46 46-47 56 553 895 15.83 22.36 56 106 62.69 1 264 330 44.72 47-48 55 658 913 16.42 21.71 55 201 60.46 1 208 224 46.06 48-49 54 745 940 17.16 21.06 54 275 57.74 1 153 023 47.48 49-50 53 805 969 18.01 20.42 53 321 55.03 1 098 748 48.97 50-51 52 836 997 18.88 19.79 52 338 52.50 1 045 427 50.53 51-52 51 839 1 026 19.78 19.16 51 326 50.03 993 089 52.19 52-53 50 813 1 054 20.76 18.53 50 286 47.71 941 763 53.97 53-54 49 759 1 088 21.86 17.92 49 215 45.23 891 477 55.80 54-55 48 671 1 126 23.14 17.31 48 108 42.72 842 262 57.77 55-56 47 545 1 169 24.58 16.70 46 961 40.17 794 154 59.88 58-57 46 376 1 216 26.23 16.11 45 768 37.64 747 193 62.07 57-58 45 160 1 264 27.99 15.53 44 528 35.23 701 425 64.39 58-59 43 896 1 303 29.69 11.96 43 244 33.19 656 897 66.84 59-60 42 593 1 333 31.30 14.41 41 926 31.45 613 653 69.40 60-61 41 260 1 362 32.99 13.86 40 579 29.79 571 727 72.15 61-62 39 898 1 384 34.70 13.31 39 206 28.33 531 148 75.13 62-63 38 514 1 411 36.64 12.77 37 808 26.80 491 942 78.31 63-64 37 103 1 450 39.08 12.24 36 378 25.09 454 134 81.70 64-65 35 653 1 499 42.03 11.72 34 904 S.3.28 417 756 85.32 65-66 34 154 1 544 45.22 11.21 33 382 21.62 382 852 89.21 66-67 32 610 1 591 48.79 10.72 31 815 20.00 349 470 93.28 67-68 31 019 1 629 52.52 10.24 30 205 18.54 317 655 97.66 68-69 29 390 1 618 56.07 9.78 28 566 17.33 287 450 102.25 69-70 27 742 1 649 59.46 9.33 26 917 16.32 258 884 107.18 70-71 26 093 1 647 63.09 8.89 25 269 15.34 231 967 112.49 71-72 24 446 1 634 66.85 8.46 23 629 14.46 206 698 _ 118.20 72-73 22 812 1 621 71.06 8.03 22 002 13.57 183 069 124.53 73-74 21 191 1 615 76.20 7.60 20 384 12.62 161 067 131.58 74-75 19 576 1 611 S2.33 7.19 18 770 11.65 140 683 139.08 75-76 17 965 1 600 89.04 6.79 17 165 10.73 121 913 147.28 76-77 16 365 1 580 96.57 6.10 15 575 9.86 104 748 156.25 77-78 14 7S5 1 556 105.22 6.03 14 007 9.00 89 173 165.84 78-79 13 229 1 51S 114.75 5.68 12 470 8.21 75 166 176.06 79-80 11 711 1 465 125.10 5.35 10 978 7.49 62 696 186.92 80-81 10 246 1 394 136.01 5.05 9 549 6.85 51 718 198.02 81-82 8 852 1 304 147.32 4.76 8 200 6.29 42 169 210.08 82-83 7 548 1 198 158.76 4.50 6 949 5.80 33 969 222.22 83-84 6 350 1 081 170.24 4.26 5 809 5.37 27 020 234.74 84-85 5 269 958 181.79 4.03 4 790 5.00 21 211 248.14 85-86 4 311 834 193.52 3.81 3 894 4.67 16 421 262.47 86-87 3 477 715 205.65 3.60 3 119 1.36 12 527 277.78 87-88 2 762 603 218.36 3.41 2 460 4.08 9 40S 293.26 88-89 2 159 501 231.82 3.22 1 908 3.81 6 948 310.56 89-90 1 658 408 246.10 3.04 1 454 3.56 5 040 328.95 90-91 1 250 326 261.23 2.87 1 087 3.33 3 586 348.43 91-92 924 256 277.16 2.70 796 3.11 2 499 370.37 92-93 668 197 293.85 2.55 570 2.90 1 703 392.16 93-94 471 146 311.30 2.40 398 2.71 1 133 416.67 94-95 ! 325 107 329.58 2.26 271 2.53 735 442.48 95-96 218 76 348.80 2.13 180 2.37 464 469.48 96-97 142 53 369.07 2.00 116 2.21 284 500.00 97-98 89 34 390.46 1.88 72 2.06 168 531.91 98-99 55 23 413.03 1.76 43 1.92 96 568.18 99-100 32 11 436.82 1.65 25 1.79 53 606.06 100-101 18 8 461.84 1.55 14 1.67 28 645.16 101-102 10 5 488.14 1.45 7 1.55 14 689.66 102-103 5 3 515.79 1.35 4 1.44 7 740.74 103-104 2 1 544.82 1.26 2 1.31 3 793.65 104-105 1 1 575.27 1.18 1 1.24 1 847.46 150822°— 21- -11 162 UNITED STATES LIFE TABLES. TABLE 56 LIFE TABLE FOR MALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (4,605,057), AND ON THE Note.— An explanation of each column of the life tables is given on pages 25 to 29, and AGE INTERVAL, Period of lifetime between two exact ages. x to x+1 Of 100,000 Males Born Alive: Number alive at beginning of age interval. lx Number dying in age interval Bate of Mortality PER Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. 1000 ?x Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. e-x STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which. Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. ' POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age internals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals 1000l x fT x INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 d-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 100 000 95 265 93 979 92 903 HI 990 91 191 9ft 489 89 858 89 281 ss 745 88 239 87 756 Monthly rate. 4 735 47.35 1 286 13.50 1 076 11.44 913 9.83 796 8.65 705 7.73 631 6.98 577 6.42 536 6.00 506 5.70 483 5.48 469 5.35 In years. 4:7.89 50.19 50.79 51.29 51.72 52.09 52.41 52.69 52.95 53.19 53.41 53.62 885 787 704 633 570 514 464 418 374 333 293 Per month. 20.40 73.56 86.88 101.28 115.08 128.88 142.92 155.28 166.08 174.84 182.16 186.60 78S 999 780 962 773 077 765 290 757 586 749 953 742 383 734 869 727 405 719 987 712 613 705 280 Annual rati 1 . 20.88 19.92 19.69 19.50 19.33 19.20 19.08 18.98 18.89 18.80 18.72 18.65 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 00 000 87 287 S4 350 83 037 82 264 81 726 81 286 80 924 80 625 80 374 80 158 79 964 79 780 79 595 79 400 79 187 78 950 7S 684 78 387 78 059 77 698 77 304 76 885 76 452 76 012 75 564 75 107 74 639 74 155 73 650 73 124 72 576 7) 999 71 389 70 744 70 065 69 351 68 607 67 840 67 054 66 247 65 420 64 572 63 701 62 805 12 713 2 937 1 313 773 538 440 362 299 251 216 194 184 185 195 213 237 266 297 328 361 394 419 433 440 448 457 468 484 505 526 548 577 610 645 679 714 744 767 786 807 827 848 871 896 920 Annual rate. In years 127.13 47.89 33.64 53.82 15.56 54.68 9.31 54.54 6.55 54.05 5.38 53.40 4.45 52.69 3.70 51.92 3.11 51.11 2.69 50.27 2.42 49.40 2.30 48.52 2.32 47.63 2.4.5 46.74 2.68 45.86 2.99 44.98 3.37 44.11 3.77 43.26 4.19 42.42 4.62 41.60 5.07 40.79 5.42 39.99 5.63 39.21 5.76 38.43 5.90 37.65 6.05 36.87 6.23 36.09 6.48 35.31 6.80 31.54 7.14 33.77 7.50 33.01 7.95 32.26 8.47 31.51 9.04 30.78 9.61 30.05 10.19 29.31 10.72 28.64 11.18 27.94 11.59 27.25 12.03 26.56 12.49 25.88 12.97 25.20 13.49 24.53 14.06 23.86 14.65 23.19 91 012 85 554 83 654 82 635 81 984 81 506 81 105 80 774 8(1 499 80 266 80 061 79 872 79 687 79 497 79 293 79 068 78 817 78 536 78 223 77 878 77 501 77 095 76 669 76 232 75 788 75 335 74 873 74 397 73 902 73 387 72 850 72 288 71 694 71 067 70 404 69 708 68 979 68 224 67 447 66 651 65 834 64 996 64 136 63 253 62 345 Per year. 7.16 29.13 63.71 106.90 152.39 185.24 224.05 27.0.15 320.71 371.60 412.69 434.09 430.74 407.68 372.27 333.62 296.30 264.43 238.48 215.73 196.70 184.00 177.06 173.25 169.17 164. S5 159.99 153.71 146.31 139.52 132.94 125.28 117.53 110.18 103.69 97.63 92.71 88.95 85.81 82.59 79.61 76.65 73.63 70.59 67.77 4 788 999 1 697 987 4 612 433 4 528 779 4 446 144 t 364 160 4 282 654 4 201 549 4 120 775 4 040 276 3 960 010 3 879 949 ■i 800 077 3 72(1 390 3 640 893 3 561 600 3 *82 532 3 403 715 3 325 179 3 246 956 3 169 078 3 091 577 3 014 482 2 937 813 2 861 581 2 785 793 2 710 458 2 635 585 2 561 1HS 2 487 286 2 413 899 2 341 049 y 268 761 ^ 197 067 2 126 000 2 055 596 1 985 888 1 916 909 1 848 685 1 781 238 1 714 587 1 648 753 1 583 757 1 519 621 1 456 368 Annual rate. 20.88 18.58 18.29 18.34 18.50 18.73 18.98 19.26 19.57 19.89 20.24 20.61 21.00 21.39 21.81 22.23 22.67 23.12 23.57 24.04 24.52 25.01 25.50 26.02 26.56 27.12 27.71 28.32 28.95 29.61 30.29 31.00 31.74 32.49 33.28 34.08 34.92 35.79 36.70 37.65 38.64 39.68 40.77 41.91 43.12 UNITED STATES LIFE TABLES. 163 THE STATE OF NEW YORK: 1910. REPORTED DEATHS IN 1909 (75,466), IN 1910 (79,664), AND IN 1911 (78,368). illustrative examples, showing how to use tho tables, are given on pages 29 to 49. TABLE 56 AGE INTERVAL Period of lifetime between two exact ages. ,r to x+1 Op 100,000 Males Born Alive: . Number alive at beginning of age interval. Years. 45 -46 46 -47 47 -IS 48 -49 49 -50 50 -51 51 -53 52 -58 5:t -54 54 -55 55 -56 50 -57 57 -58 5S -59 59 -60 60 -61 61 -62 «2 -63 63 -64 61 -65 65 -66 66 -67 67 -68 68 -69 69 -70 70 -71 71 -72 7 a -73 73 -74 74 ■75 75 -76 76 77 77 78 78 79 79 80 80- 81 81- 82 82- 83 83- 84 84- 85 85- 86 86- 87 87- 8S 88- 89 80- 90 90- 91 91- 92 92- 93 93- 94 94- 95 95- 96 96- 97 97- 98 98- 99 99- 100 100- 101 101- 102 102- 103 103- 104 101- 105 105- 106 Number dyinc in age interval Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. lOOOgz Complete Expectation op Life. Average length of life remaining to each one alive at beginning of age interval. e x STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. Population per death in age interval. W rf x POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. 61 885 60 938 59 964 58 962 57 935 56 882 55 804 54 «9H 53 555 52 365 51 123 4 9 822 48 458 47 036 45 563 44 040 42 467 40 849 89 193 37 504 35 788 34 053 32 301 30 529 28 736 26 930 25 118 23 307 21 507 19 724 17 966 16 239 14 557 12 941 11 405 9 951 8 575 7 296 6 122 5 061 4- 120 3 303 2 608 2 030 1 558 1 180 882 650 471 336 235 160 107 69 43 26 15 8 4 Annual rate. 947 15.30 974 15.99 1 002 16.70 1 027 17.42 1 053 18.18 1 078 18.95 1 106 19.82 1 143 20.90 1 190 22.22 1 242 23.72 1 301 25.45 1 364 27.38 1 422 29.35 1 473 31.30 1 523 33.43 1 573 35.72 1 618 38.09 1 656 40.54 1 689 43.10 1 716 45.76 1 735 48.47 1 752 51.45 1 772 54.87 1 793 58.74 1 806 62.85 1 812 67.28 1 811 72.07 1 800 77.26 1 783 82.88 1 758 89.12 1 727 96.16 1 682 103.55 1 616 111.00 1 536 118.69 1 454 127.48 1 376 138.29 1 279 149.16 1 174 160.89 1 061 173.27 941 185.93 817 198.44 695 210.43 578 221.70 472 232.29 378 242.46 298 252.62 232 263.22 179 274.62 135 287.18 101 301.18 75 316.80 53 334.18 38 353.45 26 374.71 17 398.09 11 423.61 7 451.21 4 480.72 2 511.95 1 544.74 1 578.76 In years. 22.53 21.87 21.22 20.57 19.92 19.28 18.65 18.01 17.39 16.77 16.17 15.57 15.00 14.44 13.89 13.35 12.83 12.31 11.81 11.32 10.84 10.37 9.90 9.45 9.01 8.58 8.16 7.76 7.37 6.99 6.62 6.27 5.94 5.62 5.31 5.01 4.73 4.17 4.24 4.02 3.82 3.65 3.48 3.33 3.19 3.05 2.91 2.78 2.64 2.50 2.36 2.22 2.09 1.95 1.82 1.70 1.58 1.46 1.36 1.26 1.16 61 412 60 451 59 463 58 449 57 408 56 343 55 251 54 127 52 960 51 744 50 473 49 140 47 747 46 300 44 802 43 253 41 658 40 021 88 349 36 646 34 921 33 177 81 415 29 632 •27 833 26 024 24 213 22 407 20 616 18 845 17 103 15 398 13 749 12 173 10 678 9 263 7 936 6 709 5 592 4 591 3 712 2 955 2 319 1 794 1 369 1 031 766 561 404 285 198 134 88 5ti 35 20 12 6 3 2 Per year. 64.85 62.06 59.34 56.91 51.52 52.27 49.96 47.36 44.50 41.66 38.80 36.03 33.58 31.43 29.42 27.50 25.75 24.17 22.71 21.36 20.13 18.94 17.73 16.53 15.41 14.36 13.37 12.45 11.56 10.72 9.90 9.15 8.51 7.93 7.34 6.73 6.20 5.7'! 5.27 4.88 4.54 4.25 4.01 3.81 3.62 3.16 3.30 3.14 2.98 2.82 2.66 2.49 2.33 2.17 2.01 1.86 1.72 1.58 1.45 1.31 1.23 1 394 023 1 332 611 1 272 160 1 212 697 1 154 248 096 840 040 497 985 246 931 119 87S 159 826 415 775 942 726 802 679 055 632 755 587 953 544 700 503 042 463 021 424 672 388 026 353 105 319 928 288 513 258 881 231 048 205 021 180 811 158 404 137 788 118 943 101 840 86 442 72 693 60 520 49 842 40 579 32 643 25 934 20 342 15 751 12 039 9 084 6 765 4 971 3 602 2 571 1 805 1 244 840 555 357 223 135 79 44 24 12 6 3 DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. lOOOZz/Tz Annual rate. 44.39 45.72 47.13 48.61 50.20 51.87 53.62 55.52 57.50 59.63 61.84 64.23 66.67 69.25 71.99 74.91 77.94 S1.23 81.67 88.34 92.25 96.43 101.01 105.82 110.99 116.55 122.55 128.87 135.69 143.06 151.06 159.49 168.35 177.94 188.32 199.60 211.42 223.71 235.85 248.76 261.78 273.97 287.36 300.30 313.48 327.87 343.64 359.71 378.79 400.00 423.73 450.45 478.47 512.82 549.45 588.24 632.91 684.93 735.29 793.65 862.07 164 TABLE 57 UNITED STATES LIFE TABLES. LIFE TABLE FOR FEMALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (3,750,095), AND ON THE Note. — An explanation of each column of the life tables is given on pages 25 to 29, and AGE INTERVAL. Period of lifetime between two exact ages. X to x+1 Of 100,000 Females Born Alive : Number alive at beginning of age interval. Number dying in age interval. d x Rate op Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. 1000^ x Complete Expectation op Life. Average length of life remaining to each one alive at beginning of age interval. ex STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which. Assuming the Mortality Rates in Colnmn 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. Population per death in age interval. W rf z POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. lOOOZJTz INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. O-l 1-2 2-3 3-4 1-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly rate. In years. Per month. Annual rate. LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 100 000 88 396 K5 104 83 615 82 663 81 923 81 353 80 914 80 573 80 301 80 076 79 876 79 684 79 489 79 279 79 051 7K 794 78 504 78 180 77 825 77 443 77 034 76 598 76 139 75 658 75 159 74 641 74 104 73 551 72 982 72 399 71 802 71 189 70 565 «9 935 «9 304 68 670 «K 037 67 401 «« 752 «<; 087 x /d x T* loooyTz 1 2 3 4 5 6 7 8 9 INFA NT MORTAL! TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. Monthly rate. In years. Per month. Annual rate. 0-1 100 000 3 768 37.68 51.89 8 098 25.80 5 189 206 19.27 1-2 96 232 1 075 11.17 53.84 7 975 89.04 5 181 108 18.57 2-3 95 157 873 9.18 54.36 7 893 108.48 5 173 133 18.40 3-4 94 284 761 7.97 54.78 7 826 125.04 5 165 240 18.25 4-5 93 533 665 7.11 55.14 7 767 140.16 5 157 414 18.14 5-6 92 868 609 6.56 55.45 7 714 152.04 5 149 647 18.03 6-7 92 259 563 6.1Q 55.73 7 665 163.32 5 141 933 17.94 7-8 91 696 528 5.75 55.99 7 619 173.16 5 134 268 17.86 8-9 91 168 499 5.48 56.23 7 577 182.16 5 126 649 17.78 9-10 90 669 474 5.23 56.46 7 536 190.80 5 119 072 17.71 10-11 90 195 450 4.99 56.67 7 497 199.92 5 111 536 17.65 11-12 89 745 427 4.76 56.87 7 461 209.64 5 104 039 17.58 LIF E TABLE FO R WHOLE RA NGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annua] rate. 0-1 100 000 10 682 106.82 51.89 92 628 8.67 5 189 206 19.27 1-2 89 318 2 751 30.79 57.06 87 695 31.88 5 096 578 17.53 2-3 86 567 1 188 13.73 57.86 85 938 72.34 5 008 883 17.28 3-4 85 379 773 9.05 57.66 84 977 109.93 4 922 945 17.34 4-5 84 606 513 6.07 57.18 84 339 164.40 4 837 968 17.49 5-6 84 093 428 5.08 56.53 83 879 195.98 4 753 629 17.69 6-7 83 665 348 4.17 55.81 83 491 239.92 4 669 750 17.92 7-8 83 317 284 3.40 55.05 83 175 292.87 4 586 259 18.17 8-9 83 033 233 2.81 54.23 82 917 355.87 4 503 084 18.44 9-10 82 800 197 2.38 53.38 82 702 419.81 4 420 167 18.73 10-11 82 603 175 2.12 52.51 82 516 471.52 4 337 465 19.04 11-12 82 428 165 2.01 51.62 82 346 499.07 4 254 949 19.37 12-13 82 263 167 2.03 50.72 82 179 492.09 4 172 603 19.72 13-14 82 096 177 2.16 49.82 82 007 463.32 4 090 424 20.07 14-15 81 919 195 2.38 48.93 81 821 419.59 4 008 417 20.44 15-16 81 724 220 2.69 48.05 81 614 370.97 3 926 596 20.81 16-17 81 504 244 3.00 47.18 81 382 333.53 3 844 982 21.20 17-18 81 260 266 3.27 46.32 81 127 304.99 3 763 600 21.59 18-19 80 994 286 3.53 45.47 80 851 282.70 3 682 473 21.99 19-20 80 708 306 3.80 44.63 80 555 263.25 3 601 622 22.41 20-21 80 402 327 4.07 43.79 80 238 245.38 3 521 067 22.84 21-22 80 075 347 4.33 42.97 79 901 230.26 3 440 829 23.27 22-23 79 728 365 4.57 42.15 79 545 217.93 3 360 928 23.72 23-24 79 363 381 4.81 41.35 79 172 207.80 3 281 383 24.18 24-25 78 982 399 5.05 40.54 78 783 197.45 3 202 211 24.67 25-26 78 583 416 5.30 39.75 78 375 188.40 3 123 428 25.16 26-27 78 167 433 5.53 38.96 77 951 180.03 3 045 053 25.67 27-28 77 734 446 5.75 38.17 77 511 173.79 2 967 102 26.20 28-29 77 288 460 5.95 37.39 77 058 167.52 2 889 591 26.75 29-30 76 828 475 6.18 36.61 76 590 161.24 2 812 533 27.31 30-31 76 353 491 6.43 35.83 76 107 155.00 2 735 943 27.91 31-32 75 862 508 6.69 35.06 75 608 148.83 2 659 836 28.52 32-33 75 354 524 6.96 34.29 75 092 143.31 2 584 228 29.16 33-34 74 830 539 7.20 33.53 74 561 138.33 2 509 136 29.82 34-35 74 291 553 7.45 32.77 74 014 133.84 2 434 575 30.52 35-36 73 738 567 7.69 32.01 73 454 129.55 2 360 561 31.24 36-37 73 171 579 7.92 31.26 72 881 125.87 2 287 107 31.99 37-38 72 592 592 8.15 30.50 72 296 122.12 2 214 226 32.79 38-39 72 000 606 8.41 29.75 71 697 118.31 2 141 930 33.61 39-40 71 394 619 8.68 29.00 71 084 114.84 2 070 233 34.48 40-41 70 775 635 8.97 28.25 70 457 110.96 1 999 149 35.40 41-42 70 140 653 9.31 27.50 69 813 106.91 1 928 692 36.36 42-43 69 487 675 9.71 26.75 69 149 102.44 1 858 879 37.38 43-44 68 812 699 10.16 26.01 68 463 97.94 1 789 730 38.45 44-45 68 113 725 10.65 25.27 67 751 93.45 1 721 267 39.57 UNITED STATES LIFE TABLES. THE STATE ON NEW YORK: 1910. REPORTED DEATHS IN 1909 (64,607), IN 1910 (68,014), AND IN 1911 (67,286). illustrative examples, showing how to use the tables, are given on pages 29 to 49. 167 TABLE 58 STATIONARY FEMALE POPULATION, Rate of Complete Expectation op Life. Unaffected by Emigrat on and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Op 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to x-\-l lx d x lOOOfe o e x Li LzMr % lOOOk/T, 1 2 3 4 s 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 67 388 754 11.19 24.54 67 Oil 88.87 1 653 516 40.75 46-47 66 634 784 11.76 23.81 66 242 84.49 1 586 505 42.00 47-48 65 850 811 12.32 23.09 65 445 80.70 1 520 263 43.31 48-49 65 039 837 12.87 22.37 64 620 77.20 1 454 818 44.70 49-50 64 202 866 13.48 21.65 63 769 73.64 1 390 198 46.19 50-51 63 336 894 14.12 20.94 62 889 70.35 1 326 429 47.76 51-52 62 442 928 14.87 20.24 61 978 66.79 1 263 540 49.41 52-53 61 514 973 15.81 19.53 61 027 62.72 1 201 562 51.20 53-54 60 541 1 028 16.99 18.84 60 027 58.39 1 140 535 53.08 54-55 59 513 1 090 18.32 18.16 58 968 54.10 1 080 508 55.07 55 56 58 423 1 161 19.86 17.49 57 842 49.82 1 021 540 57.18 56-57 57 262 1 236 21.59 16.83 56 644 45.83 963 698 59.42 57-58 56 026 1 310 23.38 16.19 55 371 42.27 907 054 61.77 58-59 54 716 1 377 25.17 15.57 54 028 39.24 851 683 64.23 59-60 53 339 1 444 27.08 14.95 52 617 36.44 797 655 66.89 60-61 51 895 1 510 29.09 14.36 51 140 33.87 745 038 69.64 61-62 50 385 1 573 31.21 13.77 49 599 31.53 693 898 72.62 62-63 48 812 1 637 33.54 13.20 47 994 29.32 644 299 75.76 63-64 47 175 1 703 36.10 12.64 46 324 27.20 596 305 79.11 64-65 45 472 1 763 38.77 12.09 44 591 25.29 549 981 82.71 65-66 43 709 1 816 41.54 11.56 42 801 23.57 505 390 86.51 66-67 41 893 1 869 44.62 11.04 40 959 21.91 462 589 90.58 67-68 40 024 1 927 48.15 10.53 39 061 20.27 421 630 94.97 68-69 38 097 1 986 52.13 10.04 37 104 18.68 382 569 99.60 69-70 36 111 2 039 56.46 9.57 35 091 17.21 345 465 104.49 70-71 34 072 2 087 61.26 9.11 33 029 15.83 310 374 109.77 71-72 31 985 2 117 66.20 8.67 30 926 14.61 277 345 115.34 72-73 29 868 2 119 70.94 8.25 28 808 13.60 246 419 121.21 73-74 27 749 2 097 75.58 7.84 26 700 12.73 217 611 127.55 74-75 25 652 2 068 80.60 7.44 24 618 11.90 190 911 134.41 75-76 23 584 2 025 85.88 7.05 22 571 11.15 166 293 141.84 76-77 21 559 1 980 91.84 6.67 20 569 10.39 143 722 149.93 77-78 19 579 1 939 99.04 6.29 18 609 9.60 123 153 158.98 78-79 17 640 1 900 107.71 5.93 16 690 8.78 104 544 168.63 79-80 15 740 1 852 117.68 5.58 14 814 8.00 87 854 179.21 80-81 13 888 1 804 129.85 5.26 12 986 7.20 73 040 190.11 81-82 12 084 1 724 142.68 4.97 11 222 6.51 60 054 201.21 82-83 10 360 1 593 153.77 4.71 9 564 6.00 48 832 212.31 83-84 8 767 1 426 162.71 4.48 8 054 5.65 39 268 223.21 84-85 7 341 1 268 172.63 4.25 6 707 5.29 31 214 235.29 85-86 6 073 1 111 182.92 4.03 5 518 4.97 24 507 248.14 86-87 4 962 960 193.55 3.83 4 482 4.67 18 989 261.10 87-88 4 002 819 204.58 3.62 3 593 4.39 14 507 276.24 88-89 3 183 688 216.32 3.43 2 839 4.12 10 914 291.55 89-90 2 495 572 229.20 3.24 2 209 3.86 8 075 308.64 90-91 1 923 468 243.47 3.05 1 689 3.61 5 866 327.87 91-92 1 455 377 259.15 2.87 1 266 3.36 4 177 348.43 92-93 1 078 298 276.08 2.70 929 3.12 2 911 370.37 93-94 780 229 294.03 2.54 665 2.90 1 982 393.70 94-95 551 172 312.63 2.39 465 2.70 1 317 418.41 95-96 379 126 331.72 2.25 316 2.51 852 444.44 96-97 253 89 351.18 2.12 209 2.35 536 471.70 97-98 164 61 371.25 1.99 134 2.19 327 502.51 98-99 103 40 392.28 1.87 83 2.05 193 534.76 99-100 63 26 414.66 1.75 50 1.91 110 571.43 100-101 37 16 438.59 1.64 29 1.78 60 609.76 101-102 21 10 464.42 1.53 16 1.65 31 653.59 102-103 ' 11 5 492.11 1.43 8 1.53 15 699.30 103-104 6 3 521.55 1.33 4 1.42 7 751.88 104-105 3 2 552.48 1.24 2 1.31 3 - 806.45 105-106 1 1 584.73 1.15 1 i 1.21 1 869.57 168 TABLE 59 UNITED STATES LIFE TABLES. LIFE TABLE FOR MALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (280,923), AND ON THE Note. — An explanation of each column of the life tables is given on pages 25 to 29, and AGE INTERVAL. Of 100,000 Males Born Alive: Rate op Mortality per Thousand. ' Complete Expectation or Life. STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which. Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning cf age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x-\-l lx d x lOOOtfa lx L* LxMr % ioooyT x 1 2 3 1 5 6 7 8 9 INFA NT MORTALI TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly rate. In years. Per month. Annual rate. LIF E TABLE FO R WHOLE RA NTGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 100 000 84 264 80 125 78 277 76 993 75 998 75 239 74 668 74 243 73 926 73 685 73 488 73 309 73 124 72 912 72 654 72 336 71 945 71 490 71 000 70 492 69 964 69 419 65 853 68 261 67 640 66 996 66 331 65 653 64 967 64 280 63 588 82 892 62 189 61 473 60 741 59 994 59 232 58 455 57 665 56 861 56 010 55 200 54 341 53 167 15 736 4 139 1 848 1 284 995 759 571 425 317 241 197 179 185 212 258 318 391 455 490 508 528 545 566 592 621 644 665 678 686 687 692 696 703 716 732 747 762 777 790 804 821 840 859 874 889 Annual rate. 157.38 49.12 23.06 16.41 12.92 9.99 7.59 5.69 4.27 3.27 2.67 2.43 2.52 2.90 3.53 4.38 5.41 6.32 6.86 7.16 7.49 7.79 8.14 8.60 9.10 9.52 9.92 10.23 10.44 10.59 10.76 10.94 11.18 11.51 11.90 12.29 12.70 13.11 13.52 13.95 14.43 14.99 15.56 16.09 16.62 In years. 41.64 48.36 49.83 50.00 49.83 49.47 48.97 4S.34 47.61 46.81 45.96 45.09 14.19 43.31 42.43 41.58 10.76 39.98 39.23 38.50 37.77 37.05 36.34 35.63 34.94 34.25 33.58 32.91 32.25 31.58 30.91 30.24 29.57 28.90 28.23 27.57 26.90 26.24 25.59 24.93 24.27 23.62 22.97 22.33 21.69 88 670 81 822 79 146 77 609 76 476 75 619 74 954 74 456 74 085 73 805 73 586 73 398 73 217 73 018 72 783 72 495 72 141 71 718 71 245 70 746 70 228 69 691 69 136 63 557 67 950 67 318 66 664 65 992 65 310 64 624 [ 63 934 63 240 62 540 61 831 61 107 60 367 59 613 58 844 58 060 57 263 56 451 55 620 54 771 53 904 53 023 Per year. 5.63 19.77 42.83 60.44 76.86 99.63 131.27 175.19 233.71 306.24 373.53 410.04 395.77 344.12 282.10 227.97 184.50 157.62 145.40 139.20 133.01 127.87 122.15 115.81 109.42 104.53 100.25 97.33 95.20 94,07 92.39 90.86 88.96 86.36 83.48 80.81 78.23 75.73 73.19 71.22 68.76 66.21 63.76 61.68 59.64 4 163 508 4 074 838 3 993 016 3 913 870 3 836 261 3 759 785 3 684 166 3 609 212 3 534 756 3 460 671 3 386 866 3 313 280 3 239 882 3 166 665 3 093 647 3 020 864 2 948 369 2 876 228 2 804 510 2 733 265 2 662 519 2 592 291 2 522 600 2 453 464 2 384 907 2 316 957 2 219 639 2 182 975 2 116 983 2 051 673 1 987 049 1 923 115 1 859 875 1 797 335 1 735 504 1 674 397 1 611 030 1 554 417 1 495 573 1 437 513 1 380 250 1 323 799 1 268 179 1 213 408 1 159 504 Annual rate. 24.02 20.68 20.07 20.00 20.07 20.21 20.42 20.69 21.00 21.36 21.76 22.18 22.63 23.09 23.57 24.05 24.53 25.01 25.49 25.97 26.48 26.99 27.52 28.07 28.62 29.20 29.78 30.39 31.01 31.67 32.35 33.07 33.82 34.60 35.42 36.27 37.17 38.11 39.08 40.11 41.20 42.34 43.54 44.78 46.10 UNITED STATES LIFE TABLES. THE CITY OF BOSTON: 1901. REPORTED DEATHS IN 1900 (5,840), IN 1901 (5,901), AND IN 1902 (5,661). illustrative examples, showing how to use the tables, are given on pages 29 to 49. 169 TABLE 59 170 UNITED STATES LIFE TABLES. TABLE 60 TABLE LIFE FOR MALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (330,841), AND ON THE Note. — An explanation of each column of the life tables is given on pages 25 to 29, and AGE INTERVAL Op 100,000 Males Born Alive: Rate op Mortality per Thousand. Complete Expectation of Life. STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Un formly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VrTALITT. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- . rent and all older age intervals. X to x-\-\ lx d x lOOOg^. e x L* hx/dx T* 1000iWT x 1 2 3 4 5 6 7 8 9 INF YNT MORTAI ITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly rate. In years. Per month. Annual rate. LIF E TABLE FOl 1 WHOLE RAI JGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 . 42-42 42-43 43-44 44-45 100 000 86 473 83 667 82 469 81 618 80 950 80 429 80 026 79 713 79 464 79 257 79 073 78 898 78 718 78 525 78 308 78 059 77 767 77 439 77 097 76 750 76 395 76 031 75 653 75 254 74 827 74 374 73 894 73 386 72 846 72 273 71 662 71 010 70 320 69 601 68 859 68 096 67 315 66 510 65 673 64 795 63 875 62 907 61 903 60 884 13 527 2 806 1 198 851 668 521 403 313 249 207 184 175 180 193 217 249 292 328 342 347 355 364 378 399 427 453 480 508 540 573 611 652 690 719 742 763 781 805 837 878 920 968 1 004 1 019 1 020 Annual rate. 135.27 32.44 14.32 10.32 8.19 6.43 5.01 3.92 3.13 2.60 2.32 2.22 2.27 2.46 2.76 3.18 3.75 4.21 4.43 4.50 4.63 4.76 4.97 5.28 5.67 6.06 6.45 6.88 7.35 7.88 8.45 9.09 9.72 10.23 10.66 11.08 11.48 11.95 12.59 13.37 14.20 15.15 15.96 16.46 16.75 In years. 46.05 52.21 52.95 52.71 52.25 51.68 51.01 50.27 49.46 48.62 47.74 46.85 45.95 45.06 44.17 43.29 42.12 41.58 40.76 39.93 39.11 38.29 37.47 36.66 35.85 35.05 34.26 33.48 32.71 31.95 31.20 30.46 29.73 29.02 28.32 27.62 26.92 26.23 25.54 ! 24.86 24.19 23.53 22.88 22.24 21.61 90 260 84 817 83 032 82 026 81 270 80 689 80 228 79 869 79 588 79 360 79 165 78 985 78 808 78 622 78 417 78 184 77 913 77 603 77 268 76 923 76 573 76 213 75 842 75 451 75 041 74 600 74 134 73 640 73 116 72 560 71 967 71 336 70 665 69 961 69 230 68 478 67 705 66 913 66 092 65 234 64 335 63 391 62 405 61 393 60 374 Per year. 6.67 30.23 69.31 96.39 121.66 154.87 199.08 255.17 319.63 383.38 430.24 451.34 437.82 407.37 361.37 313.99 266.83 236.59 225.93 221.68 215.70 209.38 200.64 189.11 175.74 164.68 154.45 144.96 135.40 126.63 117.79 109.41 102.41 97.30 93.30 89.75 86.69 83.12 78.96 74.30 69.93 65.49 62.16 60.25 59.19 4 604 944 4 514 684 4 429 867 4 346 835 4 264 809 4 183 539 4 102 850 4 022 622 3 942 753 3 863 165 3 783 805 . 3 704 640 3 625 655 3 546 847 3 468 225 3 389 808 3 311 624 3 233 711 3 156 108 3 078 840 3 001 917 2 925 344 2 849 131 2 773 289 2 697 836 2 622 794 2 518 194 2 474 060 2 400 420 2 327 304 2 254 744 2 182 777 2 111 441 2 040 776 1 970 815 1 901 585 1 833 107 1 765 402 1 698 489 1 632 397 1 567 163 1 502 828 1 439 437 1 377 032 1 315 639 Annual rate. 21.72 19.15 18.89 18.97 19.14 19.35 19.60 19.89 20.22 20.57 20.95 21.34 21.76 22.19 22.64 23.10 23.57 24.05 24.53 25.04 25.57 26.12 26.69 27.28 27.89 28.53 29.19 29.87 30.57 31.30 32.05 32.83 33.64 34.46 35.31 36.21 37.15 38.12 39.15 40.23 41.34 42.50 43.71 44.96 46.27 UNITED STATES LIFE TABLES. 171 THE CITY OF BOSTON: 1910. REPORTED DEATHS IN 1909 (5,797), IN 1910 (6,049), AND IN 1911 (6,234). illustrative examples, showing how to use the tables, are given on pages 29 to 49. TABLE 60 . , , STATIONARY MALE POPULATION, AGE INTERVAL. Of 100,000 Males Born Alive: Rate of Mortality per Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to x+1 h d x 1000^ h J_, x T-*x/dx T* lOOOZa/Tz 1 2 3 4 5 6 7 8 9 LIFE TABLE FOE WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 59 864 1 023 17.09 20.97 59 353 58.02 1 255 265 47.69 46-47 58 841 1 021 17.36 20.32 58 330 57.13 1 195 912 49.21 47-48 57 820 1 041 18.00 19.67 57 299 55.04 1 137 582 50.84 48-49 56 779 1 096 19.31 19.03 56 231 51.31 1 080 283 52.55 49-50 55 683 1 175 21.09 18.39 55 095 46.89 1 024 052 54.38 50 -SI 54 508 1 251 22.96 17.78 53 882 43.07 968 957 56.24 51-58 53 257 1 337 25.09 17.18 52 588 39.33 915 075 58.21 52-53 51 920 1 396 26.90 16.61 51 222 36.69 862 487 60.20 53-54 50 524 1 416 28.02 16.06 49 816 35.18 811 265 62.27 54-55 49 108 1 410 28.71 15.51 48 403 34.33 761 449 64.47 55-56 47 698 1 411 29.58 14.95 46 993 33.30 713 046 66.89 56-57 46 287 1 406 30.39 14.39 45 584 32.42 666 053 69.49 57-58 44 881 1 439 32.05 13.82 44 162 30.69 620 469 72.36 58-59 43 442 1 529 35.20 13.27 42 678 27.91 576 307 75.36 59-60 41 913 1 647 39.31 12.73 41 089 24.95 533 629 78.55 60-61 40 266 1 750 43.45 12.23 39 391 22.51 492 540 81.77 61-62 38 516 1 845 47.91 11.77 37 594 20.38 453 149 84.96 62-63 36 671 1 894 51.64 11.33 35 724 18.86 415 555 88.26 63-64 34 ^77 1 880 54.06 10.92 33 837 18.00 379 831 91.58 64-65 32 897 1 829 55.61 10.52 31 982 17.49 345 994 95.06 65-66 31 068 1 778 57.22 10.11 30 179 16.97 314 012 98.91 66-67 29 290 1 713 58.49 9.69 28 433 16.60 283 833 103.20 67-68 27 577 1 677 60.80 9.26 26 739 15.94 255 400 107.99 68-69 25 900 1 693 65.36 8.83 25 054 14.80 228 661 113.25 69-70 24 207 1 740 71.91 8.41 23 337 13.41 203 607 118.91 70-71 22 467 1 777 79.09 8.02 21 578 12.14 180 270 124.69 71-72 20 690 1 777 85.89 7.67 19 801 11.14 158 692 130.38 72-73 18 913 1 732 91.59 7.34 18 047 10.42 138 891 -136.24 73-74 17 181- 1 662 96.70 7.03 16 350 9.84 120 844 142.25 74-75 15 519 1 571 101.24 6.73 14 734 9.38 104 494 148.59 75-76 13 948 1 472 105.51 6.44 13 212 8.98 89 760 155.28 76-77 12 476 1 372 110.00 6.14 11 790 8.59 76 548 162.87 77-78 11 104 1 279 115.22 5.83 10 464 8.18 64 758 171.53 78-79 9 825 1 195 121.58 5.53 9 227 7.72 54 294 180.83 79-80 8 630 1 116 129.27 5.22 8 072 7.23 45 067 191.57 80-81 7 514 1 039 138.28 4.92 6 995 6.73 36 995 203.25 81-82 6 475 961 148.42 4.63 5 995 6.24 30 000 215.98 82-83 5 514 879 159.51 4.35 5 075 5.77 24 005 229.89 83-84 4 635 795 171.54 4.08 4 237 5.33 18 930 245.10 84-85 3 840 709 184.62 3.83 3 485 4.92 14 693 261.10 85-86 3 131 623 198.96 3.58 2 819 4.53 11 208 279.33 86-87 2 508 539 214.75 3.34 2 239 4.16 8 389 299.40 87-88 1 969 457 232.03 3.12 1 741 3.81 6 150 320.51 88-89 1 512 379 250.64 2.91 1 323 3.49 4 409 343.64 89-90 1 133 306 270.25 2.72 980 3.20 3 086 367.65 90-91 827 240 290.46 2.55 707 2.94 2 106 392.16 91-92 587 183 310.99 2.38 496 2.72 1 399 420.17 92-93 404 134 331.75 2.23 337 2.51 903 448.43 93-94 270 95 352.87 2.09 223 2.33 566 478.47 94-95 175 66 374.60 1.96 142 2.17 343 510.20 95-96 109 43 397.35 1.84 88 2.02 201 543.48 96-97 66 28 421.46 1.72 52 1.87 113 581.40 97-98 38 17 447.13 1.60 30 1.74 61 625.00 98-99 21 10 474.35 1.50 16 1.61 31 666.67 99-100 11 5 503.01 1.39 8 1.49 15 719.42 100-101 6 3 532.89 1.30 4 1.38 7 769.23 101-102 3 2 563.70 1.21 2 1.27 3 826.45 102-103 1 1 595.35 1.13 1 1.18 1 884.96 172 UNITED STATES LIFE TABLES. TABLE 61 LIFE TABLE FOR FEMALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (292,004), AND ON THE Note.— An explanation of each column of the life tables is given on pages 25 to 29, and STATIONARY FEMALE POPULATION, AGE INTERVAL. Of 100,000 Females Born Alive: Rate of Mortality per Complete Expectation of Life. Unaffected by Emigration and Immigration, which. Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Tear. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUE- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older interval. age intervals. x to x-\-l lx d x lOOOfe ex ~L X li x /d x Ts \000l x /T x 1 2 3 4 5 6 7 8 9 INFA NT MORTAL] TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 5-6 Monthly rate. In years. Per month. Annual rate. 6-7 7-8 8-9 9-10 10-11 11-12 LIFJ 5 TABLE FO R WHOLE RA NGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 13 548 135.48 45.14 90 381 6.67 4 514 027 22.15 1-2 86 452 3 435 39.73 51.17 84 425 24.58 4 423 646 19.54 2-3 83 017 1 916 23.08 52.27 82 001 42.80 4 339 221 19.13 3-4 81 101 1 179 14.53 52.49 SO 488 68.27 4 257 220 19.05 4-5 79 922 939 11.76 52.26 79 434 84.59 4 176 732 19.14 5-6 78 983 746 9.44 51.88 78 610 105.38 4 097 298 19.28 6-7 78 237 590 7.55 51.37 77 942 132.11 4 018 688 19.47 7-8 77 647 470 6.05 50.75 77 412 164.71 3 940 746 19.70 8-9 77 177 378 4.90 50.06 76 988 203.67 3 863 334 19.98 9-10 76 799 313 4.07 49.30 76 642 244.86 3 786 346 20.28 10-11 76 486 270 3.53 48.50 76 351 282.78 3 709 704 20.62 11-12 76 216 246 3.23 47.67 76 093 309.32 3 683 353 20.98 12-13 75 970 238 3.14 46.82 75 851 318.70 3 557 260 21.36 13-14 75 732 244 3.21 45.97 75 610 309.88 3 481 409 21.75 14-15 75 488 258 3.43 45.12 75 359 292.09 3 405 799 22.16 15-16 75 230 281 3.74 44.27 75 089 267.22 3 330 440 22.59 16-17 74 949 308 4.11 43.43 74 795 242.84 3 255 351 23.03 17-18 74 641 343 4.60 42.61 74 469 217.11 3 180 556 23.47 18-19 74 298 383 5.15 41.81 74 106 193.49 3 106 087 23.92 19-20 73 915 418 5.66 41.02 73 706 176.33 3 031 981 24.38 20-21 73 497 450 6.12 40.25 73 272 162.83 2 958 275 24.84 21-22 73 047 478 6.53 39.50 72 808 152.32 2 885 003 25.32 22-23 72 569 500 6.90 38.75 72 319 144.64 2 812 195 25.81 23-24 72 069 521 7.24 38.02 71 808 137.83 2 739 876 26.30 24-25 71 548 543 7.58 37.29 71 276 131.26 2 668 068 26.82 25-26 71 005 561 7.91 36.57 70 725 126.07 2 596 792 27.34 26-27 70 444 581 8.25 35.86 70 153 120.75 2 526 067 27.89 27-28 69 863 596 8.54 35.15 69 565 116.72 2 455 914 28.45 28-29 69 267 608 8.78 34.45 68 963 113.43 2 386 349 29.03 29-30 68 659 618 8.99 33.75 68 350 110.60 2 317 386 29.63 30-31 68 041 627 9.23 33.05 67 728 108.02 2 249 036 30.26 31-32 67 414 640 9.49 32.36 67 094 104.83 2 181 308 30.90 32-33 66 774 652 9.76 31.66 66 448 101.91 2 114 214 31.59 33-34 66 122 662 10.00 30.97 65 791 99.38 2 047 766 32.29 34-35 65 460 668 10.22 30.28 65 126 97.49 1 981 975 33.03 35-36 64 792 676 10.43 29.58 64 454 95.35 1 916 849 33.81 36-37 64 116 681 10.62 28.89 63 775 93.65 1 852 395 34.61 37-38 63 435 691 10.89 28.20 63 090 91.30 1 788 620 35.46 38-39 62 744 711 11.33 27.50 62 389 87.75 1 725 530 36.36 39-40 62 033 737 11.90 26.81 61 665 83.67 1 663 141 37.30 40-41 61 296 768 12.52 26.13 60 912 79.31 1 601 476 38.27 41-42 60 528 802 13.27 25.45 60 127 74.97 1 540 564 39.29 42-43 59 726 828 13.86 24.79 59 312 71.63 1 480 437 40.34 43-44 58 898 831 14.10 24.13 58 482 70.38 1 421 125 41.44 44-45 58 067 818 14.09 23.47 57 658 70.49 1 362 643 42.61 UNITED STATES LIFE TABLES. THE CITY OF BOSTON: 1901. REPORTED DEATHS IN 1900 (5,610), IN 1901 (5,396), AND IN 1902 (5,338). illustrative examples, showing how to use the tables, are given on pages 29 to 49. 173 TABLE 61 STATIONARY FEMALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigral on and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE MEASURE OF VITALITY. POPULATION IN CUE- RENT AND ALL OLDER DEATH RATE PER THOUSAND. INTERVAL. AGE INTERVALS. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to x+1 1* d x 1000^ tx L* Was T* 10004/Tz 1 2 3 4 5 6 7 8 9 LIFE TABLE FOE WHOLE BANGE OP LIFE BY AGE INTERVALS OF ONE YEAE— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 57 249 809 14.13 22.79 56 845 70.27 1 304 985 43.88 46-47 66 440 797 14.13 22.11 56 042 70.32 1 248 140 45.23 47-48 55 643 805 14.46 21.42 55 240 68.62 1 192 098 46.69 48-49 64 838 842 15.35 20.73 54 417 64.63 1 136 858 48.24 49-60 53 996 898 16.64 20.05 53 547 59.63 1 082 441 49.88 50-51 53 098 952 17.92 19.38 52 622 55.28 1 028 894 51.60 51-52 52 146 1 004 19.25 18.72 51 644 51.44 976 272 53.42 52-53 51 142 1 053 20.60 18.08 50 616 48.07 924 628 55.31 53-54 50 089 1 103 22.02 17.45 49 537 44.91 874 012 57.31 54-55 48 986 1 157 23.62 16.83 48 408 41.84 824 475 59.42 55-56 47 829 1 220 25.51 16.23 47 219 38.70 776 067 61.61 66-57 46 609 1 298 27.85 15.64 45 960 35.41 728 848 63.94 57-58 45 311 1 367 30.17 15.07 44 627 32.65 682 888 66.36 68-59 43 944 1 402 31.89 14.52 43 243 30.84 638 261 68.87 59-60 42 542 1 407 33.07 13.99 41 839 29.74 595 018 71.48 60-61 41 135 1 410 34.29 13.45 40 430 28.67 553 179 74.35 61-62 39 725 1 403 35.30 12.91 39 024 27.81 512 749 77.46 62-63 38 322 1 413 36.88 12.36 37 616 26.62 473 725 80.91 63-64 36 909 1 465 39.69 11.82 36 176 24.69 436 109 84.60 64-65 35 444 1 551 43.75 11.28 34 669 22.35 399 933 88.65 65-66 33 893 1 634 48.23 10.78 33 076 20.24 365 264 92.76 66-67 32 259 1 729 53.57 10.30 31 394 18.16 332 188 97.09 67-68 30 530 1 803 59.07 9.85 29 629 16.43 300 794 101.52 68-69 28 727 1 824 63.51 9.44 27 815 15.25 271 165 105.93 69-70 26 903 1 799 66.86 9.05 26 003 14.45 243 350 110.50 70-71 25 104 1 773 70.61 8.66 24 218 13.66 217 347 115.47 71-72 23 331 1 737 74.47 8.28 22 463 12.93 193 129 120.77 72-73 21 594 1 693 78.38 7.90 20 748 12.26 170 666 126.58 73-74 19 901 1 646 82.74 7.53 19 078 11.59 149 918 132.80 74-75 18 255 1 602 87.75 7.17 17 454 10.90 130 840 139.47 75-76 16 653 1 549 93.02 6.81 15 878 10.25 113 386 146.84 76-77 15 104 1 491 98.71 6.46 14 358 9.63 97 508 154.80 77-78 13 613 1 431 105.15 6.11 12 897 9.01 83 150 163.67 78-79 12 182 1 369 112.33 5.77 11 497 8.40 70 253 173.31 79-80 10 813 1 299 120.14 5.43 10 164 7.82 58 756 184.16 80-81 9 514 1 225 128.73 5.11 8 902 7.27 48 592 195.69 81-82 8 289 1 152 139.06 4.79 7 713 6.69 39 690 208.77 82-83 7 137 1 075 150.61 4.48 6 599 6.14 31 977 223.21 83-84 6 062 991 163.50 4.19 5 566 5.62 25 378 238.66 84-85 5 071 901 177.67 3.91 4 620 5.13 19 812 255.75 85-86 4 170 805 193.06 3.64 3 767 4.68 15 192 274.73 86-87 3 365 705 209.58 3.40 3 012 4.27 11 425 294.12 87-88 2 660 605 227.15 3.16 2 357 3.90 8 413 316.46 88-89 2 055 505 245.73 2.95 1 803 3.57 6 056 338.98 89-90 1 550 411 265.34 2.74 1 345 3.27 4 253 364.96 90-91 1 139 326 286.04 2.55 976 3.00 2 908 392.16 91-92 813 250 307.89 2.37 688 2.75 1 932 421.94 92-93 563 186 330.96 2.21 470 2.52 1 244 452.49 93-94 377 134 355.24 2.05 310 2.32 774 487.80 94-95 243 93 380.74 1.91 197 2.13 464 523.56 95-96 150 61 407.43 1.77 120 1.95 267 564.97 96-97 89 39 435.27 1.65 70 1.80 147 606.06 97-98 50 23 464.22 1.53 39 1.65 77 653.59 98-99 27 13 494.24 1.42 20 1.52 38 704.23 99-100 14 8 525.03 1.32 10 1.40 18 757.58 100-101 6 3 556.96 1.23 5 1.30 8 813.01 101-102 3 2 589.71 1.14 2 1.20 3 877.19 . 102-103 1 1 623.16 1.06 1 1.10 1 943.40 V 174 UNITED STATES LIFE TABLES. TABLE 62 LIFE TABLE FOR FEMALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (342,058), AND ON THE Note.— An explanation of each column of the life tables is given on pages 25 to 29, and AGE INTERVAL. Period of lifetime between two exact ages. X to x-\-\ Of 100,000 Females Born Alive: Number alive at beginning of age interval. Number dyinf in age interval d x Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. lOOOgz Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. e x STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which. Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTEBVALS. Population per death in age interval. "Lxldx Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. lOOOZj/Tz INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly rate. In years. Per month. Annual rate. LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 100 000 88 670 86 149 85 060 84 386 83 819 83 347 82 958 82 636 82 367 82 133 81 917 81 707 81 494 81 270 81 029 80 764 81) 470 80 150 79 816 79 475 79 127 78 771 78 402 78 013 77 596 77 153 76 681 7ti 189 75 694 7r, 204 7+ 716 74 233 73 742 73 224 72 «K7 72 075 71 449 70 792 70 109 6!) 402 68 666 67 898 67 102 66 289 Annual rate. 11 330 113.30 2 521 28.43 1 089 12.64 674 7.92 567 6.72 472 5.63 389 4.68 322 3.88 269 3.26 234 2.84 216 2.63 210 2.56 213 2.61 224 2.75 241 2.97 265 3.27 294 3.65 320 3.98 334 4.16 341 4.27 348 4.39 356 4.50 369 4.68 389 4.97 417 5.34 443 5.71 472 6.12 492 6.41 495 6.50 490 6.47 488 6.48 483 6.47 491 6.62 518 7.03 557 7.60 592 8.14 626 8.69 657 9.19 683 9.65 707 10.09 736 10.60 768 11.19 796 11.73 813 12.11 822 12.40 In years. 50.28 55.67 56.29 56.00 55.45 54.82 54.13 53.38 52.58 51.75 50.90 50.03 49.16 48.29 47.42 46.56 45.71 44.87 44.05 43.23 42.42 41.60 40*79 39.98 39.17 38.38 37.60 36.83 36.06 35.30 34.52 33.74 32.96 32.18 31.40 30.64 29.88 29.14 28.41 27.68 26.96 26.24 25.53 24.83 24.13 91 956 87 183 85 572 8+ 710 84 091 83 583 83 153 82 797 82 501 82 250 82 025 81 812 81 600 81 382 81 150 80 897 80 617 80 310 79 983 79 646 79 301 78 949 78 587 78 208 77 804 77 374 76 917 76 435 75 941 75 449 74 960 74 475 73 988 73 483 72 945 72 371 71 762 71 121 70 451 69 756 69 034 68 282 67 500 66 695 65 878 Per year. 8.12 34.58 78.58 125.68 148.31 177.08 213.76 257.13 306.70 351.50 379.75 389.58 383.10 363.31 336.72 305.27 274.21 250.97 239.47 233.57 227.88 221.77 212.97 201.05 186.58 174.66 162.96 155.36 153.42 153.98 153.61 154.19 150.69 141.86 130.96 122.25 114.64 108.25 103.15 98.66 93.80 88.91 84.80 82.04 80.14 Annual rate 5 028 358 19.89 4 936 402 17.96 4 849 219 17.77 4 763 647 17.86 4 678 937 18.03 4 594 846 18.24 4 511 263 18.47 4 428 110 18.73 4 345 313 19.02 4 262 812 19.32 4 180 562 19.65 4 098 537 19.99 4 016 725 20.34 3 935 125 20.71 3 853 743 21.09 3 772 593 21.48 3 691 696 21.88 3 611 079 22.29 3 530 769 22.70 3 450 786 23.13 3 371 140 23.57 3 291 839 24.04 3 212 890 24.52 3 134 303 25.01 3 056 095 25.53 2 978 291 26.06 2 900 917 26.60 2 824 000 27.15 2 747 565 27.73 2 671 624 28.33 2 596 175 28.97 2 521 215 29.64 2 446 740 30.34 2 372 752 31.08 2 299 269 31.85 2 226 324 32.64 2 153 953 33.47 2 082 191 34.32 2 Oil 070 35.20 1 940 619 36.13 1 870 863 37.09 1 801 829 38.11 1 733 547 39.17 1 666 047 40.27 1 599 352 41.44 UNITED STATES LIFE TABLES. 175 THE CITY OF BOSTON: 1910. REPORTED DEATHS IN 1909 (5,259), IN 1910 (5,513), AND IN 1911 (5,531). illustrative examples, showing how to use the tables, are given on pages 29 to 49. TABLE 62 v STATIONARY FEMALE POPULATION, AGE INTERVAL. Op 100,000 Females Born Alive: Rate op Mortality per Thousand. Complete Expectation op Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. population in cur- rent AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x+1 lx dx lOOOfo he L* I'A T* lOOOZz/Tz I 2 3 4 5 6 7 8 9 LIFE TABLE FOE WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 46-47 47-48 48-49 49-50 65 467 64 634 63 792 62 927 62 017 833 842 865 910 972 12.73 13.03 13.55 14.46 15.66 23.42 22.72 22.01 21.31 20.61 65 050 64 213 63 359 62 472 61 531 78.09 76.26 73.25 68.65 63.30 1 533 474 1 468 424 1 404 211 1 340 852 1 278 380 42.70 44.01 45.43 46.93 48.52 50-51 51-52 52-53 53-54 54-55 61 045 60 012 58 910 57 750 56 550 1 033 1 102 1 160 1 200 1 233 16.93 18.36 19.69 20.79 21.79 19.93 19.27 18.62 17.98 17.35 60 529 59 461 58 330 57 150 55 933 58.60 53.96 50.28 47.63 45.36 1 216 849 1 156 320 1 096 859 1 038 529 981 379 50.18 51.89 53.71 55.62 57.64 55-56 56-57 57-58 58-59 59-60 55 317 54 045 52 730 51 350 49 878 1 272 1 315 1 380 1 472 1 568 23.00 24.33 26.17 28.66 31.43 16.73 16.11 15.50 14.90 14.33 54 681 53 387 52 040 50 614 49 094 42.99 40.60 37.71 34.38 31.31 925 446 870 765 817 378 765 338 714 724 59.77 62.07 64.52 67.11 69.78 60-61 61-62 62-63 63-64 64-65 48 310 46 662 44 946 43 181 41 375 1 648 1 716 1 765 1 806 1 844 34.12 36.76 39.28 41.82 44.58 13.78 13.25 12.73 ; 12.23 11.75 47 486 45 804 44 064 42 278 40 453 28.81 26.69 24.97 23.41 21.94 665 630 618 144 572 340 528 276 485 998 72.57 75.47 78.55 81.77 85.11 65-66 66-67 67-68 68-69 69-70 39 531 37 650 35 733 33 791 31 846 1 881 1 917 1 942 1 945 1 927 47.58 50.91 54.35 57.56 60.52 11.27 j 10.81 10.36 9.93 9.50' 38 590 36 692 34 762 32 818 30 882 20.52 19.14 17.90 16.87 16.03 445 545 406 955 370 263 335 501 302 683 88.73 92.51 96.53 100.70 105.26 70-71 71-72 72-73 73-74 74-75 29 919 28 013 26 138 24 294 22 474 1 906 1 875 1 844 1 820 1 800 63.68 66.94 70.55 74.91 80.09 9.08 8.67 8.25 7.84 7.44 28 966 27 076 25 216 23 384 21 574 15.20 14.44 13.67 12.85 11.99 271 801 242 835 215 759 190 543 167 159 110.13 115.34 121.21 127.55 134.41 75-76 76-77 77-78 78-79 79-80 20 674 18 895 17 135 15 396 13 688 1 779 1 760 1 739 1 708 1 660 86.06 93.16 101.48 110.94 121.27 7.04 6.66 6.29 5.94 5.62 19 785 18 015 16 265 14 542 12 858 11.12 10.24 9.35 8.51 7.75 145 585 125 800 107 785 91 520 76 978 142.05 150.15 158.98 168.35 177.94 80-81 81-82 82-83 83-84 84-85 12 028 10 439 8 949 7 579 6 346 1 589 1 490 1 370 1 233 1 088 132.07 142.82 153.10 162.66 171.47 5.33 5.07 4.83 4.61 4.41 11 234 9 694 8 264 6 962 5 802 7.07 6.50 6.03 6.65 5.33 64 120 52 886 43 192 34 928 27 966 187.62 197.24 207.04 216.92 226.76 85-86 86-87 87-88 88-89 89-90 5 258 4 313 3 502 2 814 2 235 945 811 688 579 483 179.76 187.93 196.44 205.72 216.04 4.22 4.03 3.85 3.67 3.49 4 785 3 907 3 158 2 525 1 994 5.06 4.82 4.59 4.36 4.13 22 164 17 379 13 472 10 314 7 789 236.97 248.14 259.74 272.48 286.53 90-91 91-92 92-93 93-94 94-95 1 752 1 354 1 029 768 562 398 325 261 206 159 227.52 240.11 253.70 268.17 283.50 3.31 3.14 1 2.97 2.81 2.65 1 553 1 191 898 665 482 3.90 3.66 3.44 3.23 3.03 5 795 4 242 3 051 2 153 1 488 302.11 318.47 336.70 355.87 377.36 95-96 96-97 97-98 98-99 99-100 403 282 193 128 83 121 89 65 45 31 299.69 316.83 335.09 354.40 374.92 2.50 2.36 2.22 2.09 1.96 342 237 160 105 67 2.84 2.66 2.48 2.32 2.17 1 006 664 427 267 162 400.00 423.73 450.45 478.47 510.20 100-101 101-102 102-103 103-104 104-105 52 31 18 10 5 21 13 8 5 2 396.74 419.96 444.68 471.02 499.11 1.84 1.73 1.61 1.51 1.40 41 25 14 8 4 2.02 1.88 1.75 1.62 1.50 95 54 29 15 7 543.48 578.03 621.12 662.25 714.29 105-106 106-107 3 1 2 1 529.11 561.17 1.31 1.21 2 1 1.39 1.28 3 1 763.36 826.45 176 UNITED STATES LIFE TABLES. TABLE 63 LIFE TABLE FOR MALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (892,052), AND ON THE Note. — An explanation of each column of the lifo tables is given on pages 25 to 29, an d STATIONARY MALE POPULATION, Rate of Complete Expectation op Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Op 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Tear. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATtON IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH KATE PEE THOUSAND. Period of lifetime Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 Average length of life remaining to each one alive at beginning of age interval. Including only those in current Population per death in age interval. Sum of numbers in column 6 in cur- Average annual death rate per thousand of pop- between two exact ages. alive at begin- ning of age interval. month or year of age. rent and all older age intervals. ulation in cur- rent and all older age intervals. x to rr-f-1 h a, 1000^ &x L* W4c Ts 1000l x /T x 1 2 3 4 5 6 7 8 9 INFA NT MORTALI TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 5-6 Monthly rate. In years. Per month. Annual rate. 6-7 7-8 8-9 9-10 10-11 11-12 LIF] 5 TABLE FOl \ WHOLE RA1 TCE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 12 010 120.10 46.31 91 352 7.61 4 631 387 21.59 1-2 87 990 3 132 35.59 51.60 86 142 27.50 4 540 035 19.38 2-3 84 858 1 391 16.39 52.49 84 121 60.48 4 453 893 19.05 3-4 83 467 930 11.15 52.35 82 983 89.23 4 369 772 19.10 4-5 82 537 728 8.82 51.94 82 158 112.85 4 286 789 19.25 5-6 81 809 580 7.09 51.40 81 519 140.55 4 204 631 19.46 6-7 81 229 472 5.81 50.76 80 993 171.60 4 123 112 19.70 7-8 80 757 388 4.80 50.05 80 563 207.64 4 042 119 19.98 8-9 80 369 324 4.03 49.29 80 207 247.55 3 961 556 20.29 9-10 80 045 279 3.48 48.49 79 906 286.40 3 881 349 20.62 10-11 79 766 250 3.14 47.66 79 641 318.56 3 801 443 20.98 11-12 79 516 238 3.00 46.81 79 397 333.60 3 721 802 21.36 12-13 79 278 241 3.04 45.94 79 157 328.45 3 642 405 21.77 13-14 79 037 257 3.25 45.08 78 908 307.04 3 563 248 22.18 14-15 78 780 285 3.61 44.23 1 78 638 275.92 3 484 340 22.61 15-16 78 495 324 4.13 43.39 78 333 241.77 3 405 702 23.05 16-17 78 171 375 4.80 42.57 77 984 207.96 3 327 369 23.49 17-18 77 796 421 5.41 41.77 77 586 184.29 3 249 385 23.94 18-19 77 375 449 5.81 40.99 77 150 171.83 3 171 799 24.40 19-20 76 926 465 6.04 40.23 76 693 164.93 3 094 649 24.86 20-21 76 461 483 6.32 39.47 76 219 157.80 3 017 956 25.34 21-22 75 978 503 6.61 38.72 75 726 150.55 2 941 737 25.83 22-23 75 475 514 6.81 37.97 75 218 146.34 2 866 Oil 26.34 23-24 74 961 516 6.89 37.23 74 703 144.77 2 790 793 26.86 24-25 74 445 515 6.91 36.48 74 187 144.05 2 716 090 27.41 25-26 73 930 513 6.94 35.74 73 674 143.61 2 641 903 27.98 26-27 73 417 510 6.95 34.98 73 162 143.45 2 568 229 28.59 27-28 72 907 514 7.05 34.22 72 650 141.34 2 495 067 29.22 28-29 72 393 529 7.31 33.46 72 129 136.35 2 422 417 29.89 29-30 71 864 551 7.67 32.70 71 589 129.93 2 350 288 30.58 30-31 71 313 573 8.04 31.95 71 026 123.95 2 278 699 31.30 31-32 70 740 596 8.42 31.21 70 442 118.19 2 207 673 32.04 32-33 70 144 619 8.82 30.47 69 834 112.82 2 137 231 32.82 33-34 69 525 641 9.22 29.74 69 204 107.96 2 067 397 33.62 34-35 68 884 663 9.62 29.01 68 553 103.40 1 998 193 34.47 35-36 68 221 685 10.05 28.29 67 879 99.09 1 929 640 35.35 36-37 67 536 708 10.49 27.57 67 182 94.89 1 861 761 36.27 37-38 66 828 735 10.99 26.85 66 461 90.42 1 794 579 37.24 38-39 66 093 767 11.61 26.15 65 710 85.67 1 728 118 38.24 39-40 65 326 805 12.32 25.45 64 924 80.65 1 662 408 39.29 40-41 64 521 844 13.08 24.76 64 099 75.95 1 597 484 40.39 41-42 63 677 888 13.94 24.08 63 233 71.21 1 533 385 41.53 42-43 62 789 926 14.75 23.41 62 326 67.31 1 470 152 42.72 43-44 61 863 954 15.43 22.76 61 386 64.35 1 407 826 43.94 44-45 60 909 977 16.04 22.11 60 420 61.84 1 346 440 45.23 UNITED STATES LIFE TABLES. 177 THE CITY OF CHICAGO: 1901. REPORTED DEATHS IN 1900 (14,382), IN 1901 (13,510), AND IN 1902 (14,991). illustrative examples, showing how to use the tables, are given on pages 29 to 49. TABLE 63 STATIONARY MALE POPULATION, Rate of Complete Expectation op Life. Unaffected by Emigration and Immigration, which. Assuming the Mortality Rates in Column 4, AGE INTERVAL. Op 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE MEASURE OF VITALITY. POPULATION IN CUE- RENT AND ALL OLDER DEATH RATE PER THOUSAND. INTERVAL. AGE INTERVALS. Period of lifetime Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 Average length of lite remaining to each one alive at beginning of age interval. Including only those in current Population per death in age interval. Sum of numbers in column 6 in cur- Average annual death rate per thousand of pop- between two exact ages. alive at begin- ning of age interval. month or year of age. rent and all older age intervals. ulation in cur- rent and all older age intervals. X to x+1 i x d x 1000^ *x L* h x Jd x T* 10Q0l x JT x 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE EANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 59 932 1 005 16.76 21.46 59 430 59.13 1 286 020 46.60 46-47 58 927 1 034 17.56 20.82 58 410 56.49 1 226 590 48.03 47-48 57 893 1 072 18.52 20.18 57 357 53.50 1 168 180 49.55 48-49 56 821 1 116 19.63 19.55 56 263 50.41 1 110 823 51.15 49-50 55 705 1 158 20.80 18.93 55 126 47.60 1 054 560 52.83 50-51 54 547 1 199 21.97 18.32 53 948 44.99 999 434 54.59 51-52 53 348 1 234 23.14 17.72 52 731 42.73 945 486 56.43 52-53 52 114 1 267 24.32 17.13 51 480 40.63 892 755 58.38 53-54 50 847 1 302 25.60 16.55 50 196 38.55 841 275 60.42 54-55 49 545 1 341 27.08 15.97 48 874 36.45 791 079 62.62 55-56 48 204 1 385 28.74 15.40 47 511 34.30 742 205 64.94 56-57 46 819 1 437 30.69 14.84 46 100 32.08 694 694 67.39 57-58 45 382 1 483 32.67 14.29 44 640 30.10 648 594 69.98 58-59 43 899 1 507 34.32 13.76 43 146 28.63 603 954 72.67 59-60 42 392 1 510 35.63 13.23 41 637 27.57 560 808 75.59 60-61 ! 40 882 1 512 37.00 12.70 40 126 26.54 519 171 78.74 61-62 39 370 1 505 38.23 12.17 38 617 25.66 479 045 82.17 62-63 37 865 1 516 40.03 11.63 37 107 24.48 440 428 85.98 63-64 36 349 1 664 43.04 11.10 35 567 22.74 403 321 90.09 64-65 34 785 1 644 47.25 10.57 33 963 20.66 367 754 94.61 65-66 33 141 1 719 51.86 10.07 32 282 18.78 333 791 99.30 66-67 31 422 1 797 57.20 9.60 30 524 16.99 301 509 104.17 67-68 29 625 1 860 62.80 9.15 28 695 15.43 270 985 109.29 68-69 27 765 1 884 67.84 8.73 26 823 14.24 242 290 114.55 69-70 25 881 1 871 72.30 8.33 24 945 13.33 215 467 120.05 70-71 24 010 1 855 77.24 7.94 23 083 12.44 190 522 125.94 71-72 22 155 1 827 82.49 7.56 21 242 11.63 167 439 132.28 72-73 20 328 1 784 87.75 7.19 19 436 10.89 146 197 139.08 73-74 18 544 1 728 93.19 6.84 17 680 10.23 126 761 146.20 74-75 16 816 1 665 99.04 6.49 15 983 9.60 109 081 154.08 75-76 1 15 151 1 595 105.25 6.14 14 353 9.00 93 098 162.87 76-77 13 556 1 516 111.86 5.81 12 798 8.44 78 745 172.12 77-78 12 040 1 438 119.43 5.48 11 321 7.87 65 947 182.48 78-79 10 602 1 360 128.24 5.15 9 922 7.30 54 626 194.17 79-80 9 242 1 277 138.17 4.84 8 604 6.74 44 704 206.61 80-81 7 965 1 188 149.15 4.53 7 371 6.20 36 100 220.75 81-82 6 777 1 093 161.38 4.24 6 230 5.70 28 729 235.85 82-83 5 684 996 175.13 3.96 5 186 5.21 22 499 252.53 83-84 4 688 893 190.44 3.69 4 242 4.75 17 313 271.00 84-85 3 795 786 207.20 3.44 3 402 4.33 13 071 290.70 85-86 3 009 677 225.13 3.21 2 670 3.94 9 669 311.53 86-87 2 332 569 243.83 3.00 2 047 3.60 6 999 333.33 87-88 1 763 463 262.90 2.81 1 531 3.30 4 952 355.87 88-89 1 300 367 282.07 2.63 1 116 3.05 3 421 380.23 89-90 933 281 301.24 2.47 792 2.82 2 305 404.86 90-91 652 209 320.53 2.32 547 2.62 1 513 431.03 91-92 443 151 340.16 2.18 368 2.44 966 458.72 92-93 292 105 360.53 2.05 240 2.27 598 487.80 93-94 187 71 382.00 1.92 151 2.12 358 520.83 94-95 116 47 404.82 1.80 92 1.97 207 555.56 95-96 69 30 429.03 1.69 54 1.83 115 591.72 96-97 39 18 454.58 1.58 30 1.70 61 632.91 97-98 21 10 481.27 1.47 16 1.58 31 680.27 98-99 11 6 508.92 1.38 8 1.46 15 724.64 99-100 5 2 537.33 1.29 4 1.36 7 775.19 100-101 3 2 566.60 1.20 2 1.26 3 833.33 101-102 1 1 596.66 1.13 1 1.18 1 884.96 150822°— 21 12 178 UNITED STATES LIFE TABLES. TABLE 64 LIFE TABLE FOR MALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (1,131,054), AND ON THE Note.— An explanation of each column of the life tables is given on pages 25 to 29, and STATIONARY MALE POPULATION, Rate of Complete Expectation op Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDEB AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x-\-l h d x lOOOgs «x L* L x jd x Tx ioooyT x 1 2 3 4 5 6 7 8 9 INFA NT MORTAL] TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 Monthly rate. In years. Per month. Annual rate." 5-6 6-7 7-8 8-9 9-10 10-11 11-12 I LIF1 : TABLE FOl * WHOLE RAi *JGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 13 066 130.66 45.92 90 592 6.93 4 591 642 21.78 1-2 86 934 3 013 34.65 51.78 85 156 28.26 4 501 050 19.31 2-3 83 921 1 367 16.30 52.62 83 196 60.86 4 415 894 19.00 3-4 82 554 879 10.64 52.48 82 097 93.40 4 332 698 19.05 4-5 81 676 655 8.03 52.04 81 335 124.18 4 250 601 19.22 5-6 81 020 514 6.35 51.46 80 763 157.13 4 169 266 19.43 6-7 80 506 419 5.20 50.79 80 296 191.64 4 088 503 19.69 7-8 80 087 341 4.26 50.05 79 916 234.36 4 008 207 19.98 8-9 79 746 281 3.52 49.26 79 605 283.29 3 928 291 20.30 9-10 79 465 237 2.98 48.43 79 346 334.79 3 848 686 20.65 10-11 79 228 209 2.63 47.58 79 124 378.58 3' 769 340 21.02 11-12 79 019 193 2.45 46.70 78 923 408.93 3 690 216 21.41 13-13 78 826 192 2.44 45.81 78 730 410.05 3 611 293 21.83 13-14 78 634 202 2.56 44.92 78 533 388.78 3 532 563 22.26 14-15 78 432 220 2.81 44.04 78 322 356.01 3 454 030 22.71 15-16 78 212 247 3.15 43.16 78 089 316.15 3 375 708 23.17 16-17 77 965 279 3.58 42.30 77 826 278.95 3 297 619 23.64 17-18 77 686 311 4.01 41.45 77 531 249.30 3 219 793 24.13 18-19 77 375 341 4.41 40.61 77 204 226.40 3 142 262 24.62 19-20 77 034 36S 4.74 39.79 76 851 210.55 3 065 058 25.13 20-21 76 669 389 5.07 38.98 76 474 196.59 2 988 207 25.65 21-22 76 280 412 5.40 38.17 76 074 184.65 2 911 733 26.20 22-23 75 868 431 5.68 37.38 75 652 175.53 2 835 659 26.75 23-24 75 437 445 5.90 36.59 75 214 169.02 2 760 007 27.33 24-25 74 992 457 6.10 35.80 74 763 163.60 2 684 793 27.93 25-26 74 535 471 6.31 35.02 74 299 157.75 2 610 030 28.56 26-27 74 064 484 6.54 34.24 73 822 152.52 2 535 731 29.21 27-28 73 580 499 6.79 33.46 73 330 146.95 2 461 909 29.89 28-29 73 081 519 7.09 32.68 72 821 140.31 2 388 579 30.60 29-30 72 562 540 7.45 31.91 j 72 292 133.87 2 315 758 31.34 30-31 72 022 566 7.85 31.15 71 739 126.75 2 243 466 32.10 31-32 71 456 593 8.30 30.39 71 160 120.00 2 171 727 32.91 32-33 70 863 624 8.80 29.64 1 70 551 113.06 2 100 567 33.74 33-34 70 239 656 9.34 28.90 i 69 911 106.57 2 030 016 34.60 34-35 69 583 688 9.89 28.17 69 239 100.64 1 960 105 35.50 35-36 68 895 723 10.49 27.45 68 534 94.79 1 890 866 36.43 36-37 68 172 758 11.13 26.73 67 793 89.44 1 822 332 37.41 37-38 67 414 794 11.77 26.03 67 017 84.40 1 754 539 38.42 38-39 66 620 826 12.40 25.33 66 207 80.15 1 687 522 39.48 39-40 65 794 858 13.04 24.64 | 65 365 76.18 1 621 315 40.58 40-41 64 936 890 13.71 23.96 64 491 72.46 1 555 950 41.74 41-42 64 046 921 14.38 23.29 63 586 69.04 1 491 459 42.94 42-43 63 125 956 15.16 22.62 | 62 647 65.53 1 427 873 44.21 43-44 62 169 1 001 16.10 21.96 61 668 61.61 1 365 226 45.54 44-45 61 168 1 051 17.17 21.31 60 642 57.70 1 303 558 46.93 UNITED STATES LIFE TABLES. 179 THE CITY OF CHICAGO: 1910. REPORTED DEATHS IN 1909 (17,871), IN 1910 (19,169), AND IN 1911 (18,947). illustrative examples, showing how to use the tables, are given on pages 29 to 49. TABLE 64 *— ■ STATIONARY MALE POPULATION, AGE INTERVAL. Of 100,000 Males Born Alive: Rate op Mortality per Thousand. Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x-\-l h d x 1000& e x L* l->x/dx T* 1000^/Ts 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE DF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 46-47 47-48 48-49 49-50 60 117 59 018 57 870 56 677 55 451 1 099 1 148 1 193 1 226 1 252 18.28 19.46 20.61 21.63 22.58 20.67 20.05 19.44 18.84 18.24 59 568 58 444 57 274 56 064 54 825 54.20 50.91 48.01 45.73 43.79 1 242 916 1 183 348 1 124 904 1 067 630 1 Oil 566 48.38 49.88 51.44 53.08 54.82 50-51 ■ 51-52 52-53 53-54 54-55 54 199 52 921 51 618 50 286 48 909 1 278 1 303 1 332 1 377 1 438 23.59 24.61 25.81 27.39 29.39 17.65 17.07 16.48 15.91 15.34 53 560 52 270 50 952 49 597 48 190 41.91 40.12 38.25 36.02 33.51 956 741 903 181 850 911 799 959 750 362 56.66 58.58 60.68 62.85 65.19 55-56 56-57 57-58 58-59 59-60 47 471 45 964 44 369 42 694 40 987 1 507 1 595 1 675 1 707 1 696 31.74 34.71 37.74 39.98 41.40 14.79 14.26 13.75 13.27 12.81 46 718 45 167 43 532 41 841 40 139 31.00 28.32 25.99 24.51 23.67 702 172 655 454 610 287 566 755 524 914 67.61 70.13 72.73 75.36 78.06 60-61 61-62 62-63 63-64 64-65 39 291 37 605 35 945 34 295 32 616 1 686 1 660 1 650 1 679 1 732 42.89 44.15 45.92 48.94 53.11 12.34 11.87 11.39 10.92 10.45 38 448 36 775 35 120 33 455 31 750 22.80 22.15 21.28 19.93 18.33 484 775 446 327 409 552 374 432 340 977 61.04 84.25 87.80 91.58 95.69 65-66 66-67 67-68 68-69 69-70 30 884 29 112 27 303 25 486 23 702 1 772 1 809 1 817 1 784 1 723 57.39 62.12 66.56 70.01 72.71 10.01 9.59 9.19 8.81 8.44 29 998 28 207 26 395 24 594 22 840 16.93 15.59 14.53 13.79 13.26 309 227 279 229 251 022 224 627 200 033 99.90 104.28 108.81 113.51 118.48 70-71 71-72 72-73 73-74 74-75 21 979 20 315 18 695 17 109 15 555 1 664 1 620 1 586 1 554 1 523 75.67 79.75 84.82 90.85 97.90 8.06 7.68 7.30 6.93 6.58 21 147 19 505 17 902 16 332 14 794 12.71 12.04 11.29 10.51 9.71 177 193 156 046 136 541 118 639 102 307 124.07 130.21 136.99 144.30 151.98 75-76 76-77 77-78 78-79 79-80 14 032 12 547 11 109 9 732 8 432 1 485 1 438 1 377 1 300 1 209 105.88 114.61 123.91 133.58 143.37 6.24 5.92 5.62 5.34 5.09 13 289 11 828 10 420 9 082 7 828 8.95 8.23 7.57 6.99 6.47 87 513 74 224 62 396 51 976 42 894 160.26 168.92 177.94 187.27 196.46 80-81 81-82 82-83 83-84 84-85 7 223 6 117 5 124 4 246 3 482 1 106 993 878 764 654 153.07 162.45 171.37 179.79 187.85 4.85 4.64 4.44 4.26 4.09 6 670 I 5 621 4 685 3 864 3 155 6.03 5.66 5.34 5.06 4.82 35 066 28 396 22 775 18 090 14 226 206.19 215.52 225.23 234.74 244.50 85-86 86-87 87-88 88-89 89-90 2 828 2 274 1 810 1 423 1 105 554 464 387 318 259 195.88 204.27 213.39 223.48 234.60 3.91 3.75 3.58 3.41 3.25 2 551 2 042 1 617 1 264 976 4.61 4.40 4.19 3.97 3.76 11 071 8 520 6 478 4 861 3 597 255.75 266.67 279.33 293.26 307.69 90-91 91-92 92-93 93-94 94-95 846 637 472 343 245 209 165 129 98 73 246.66 259.42 272.63 286. 12 299.92 3.10 2.95 2.81 2.67 2.54 742 555 408 294 208 3.55 3.35 3.17 3.00 2.83 2 621 1 879 1 324 916 622 322.58 338.98 355.87 374.53 393.70 95-96 96-97 97-98 98-99 99-100 172 118 79 52 33 54 39 27 19 13 314.20 329.26 345.39 362.98 381.97 2.41 2.29 2.17 2.05 1.94 145 98 65 42 27 2.68 2.54 2.40 2.25 2.12 414 269 171 106 64 414.94 436.68 460.83 487.80 515.46 100-101 101-102 102-103 103-104 104-105 20 12 7 4 2 8 5 3 2 1 402.14 423.60 446.45 470.81 496.84 1.83 1.72 1.62 1.51 1.12 16 10 5 3 2 1.99 1.86 1.74 1.62 1.51 37 21 11 6 3 546.45 581.40 617.28 662.25 704.23 105-106 1 1 524.68 1.33 1 1.41 1 757.58 180 UNITED STATES LIFE TABLES. TABLE 65 LIFE TABLE FOR FEMALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (859,917), AND ON THE Note. — An explanation of each column of the life tables is given on pages 25 to 29, and AGE INTERVAL. Period of lifetime between two exact ages. x to z-f-l Op 100,000 Females Born Alive : Number alive at beginning of age interval. Number dying in age interval d x Complete Rate of Mortality Expectation Thousand of Life ' Number dying in age interval among 1,000 alive at begin- ning of age interval. lOOOoz Average length of life remaining to.each one alive at beginning of age interval. STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. Population per death in age interval. I*eMe POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. ioooyT x INFANT mobtality— first year of life by age intervals of ONE MONTH. Months. O-l 1-2 2-3 3-1 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly rate. In years. Per month. Annual rate. LIFE TABLE FOR "WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 100 000 90 238 87 236 85 918 85 036 84 324 83 751 83 293 82 925 82 626 82 376 82 158 81 954 81 751 81 534 81 292 81 014 80 692 80 329 79 941 79 537 79 116 78 678 78 225 77 757 77 276 76 783 76 278 75 763 75 240 74 710 74 173 73 «29 73 077 7-2 514 71 940 71 354 70 758 70 149 69 526 68 886 68 227 67 545 66 840 66 117 Annual rate 9 762 97.62 3 002 33.27 1 318 15.11 882 10.26 712 8.38 573 6.79 458 5.47 368 4.42 299 3.61 250 3.02 218 2.65 204 2.48 203 2.48 217 2.65 242 2.97 278 3.42 322 3.98 363 4.49 388 4.83 404 5.05 421 5.30 438 5.54 453 5.76 468 5.98 481 6.18 493 6.38 505 6.58 515 6.76 523 6.91 530 7.04 537 7.19 544 7.33 552 7.50 563 7.70 574 7.92 586 8.14 596 8.36 609 8.61 623 8.88 640 9.20 659 9.57 682 10.00 705 10.43 723 10.82 739 11.18 In years. 50.79 55.26 56.15 56.00 55.58 55.04 54.41 53.71 52.95 52.14 51.29 50.43 49.55 48.67 47.80 46.94 46.10 45.28 44.49 43.70 42.92 42.14 41.38 40.61 39.85 39.10 38.35 37.60 36.85 36.10 35.36 34.61 33.86 33.11 32.36 31.62 30.87 30.13 29.39 28.65 27.91 27.17 26.44 25.72 24.99 93 0«9 88 467 86 537 85 459 84 666 84 038 83 522 83 109 82 775 82 501 82 267 82 056 81 853 81 643 81 413 81 153 80 853 80 510 80 135 79 739 79 327 78 897 78 451 77 991 77 517 77 030 76 531 76 021 75 5111 74 975 74 442 73 901 73 353 72 795 72 227 71 647 71 056 70 453 69 837 69 206 68 556 67 886 67 192 66 479 65 747 Per year. 9.53 29.47 65.66 96.89 118.91 146.66 182.36 225.84 276.84 330.00 377.37 402.24 403.22 376.24 336.42 291.92 251.10 221.79 206.53 197.37 188.43 180.13 173.18 166.65 161.16 156.25 151.55 147.61 144.36 141.46 138.63 135.85 132.89 129.30 125.83 122.26 119.22 115.69 112.10 108.13 104.03 99.54 95.31 91.95 88.97 5 079 412 4 986 343 4 897 876 4 811 339 4 725 880 4 641 214 4 557 176 4 473 654 4 390 545 4 307 770 4 225 269 4 143 002 4 060 946 3 979 093 3 897 450 3 816 037 3 734 884 3 654 031 3 573 521 3 493 386 3 413 647 3 334 320 3 255 423 3 176 972 3 098 981 3 021 464 2 944 434 2 867 903 2 791 882 2 716 381 2 641 406 2 566 964 o 493 063 2 419 710 2 346 915 2 274 688 2 203 041 2 131 985 2 061 532 1 991 695 1 922 489 1 853 933 1 786 047 1 718 855 1 652 376 Annual rate. 19.69 18.10 17.81 17.86 17.99 18.17 18.38 18.62 18.89 19.18 19.50 19.83 20.18 20.55 20.92 21.30 21.69 22.08 22.48 22.88 23.30 23.73 24.17 24.62 25.09 25.58 26.08 26.60 27.14 27.70 28.28 28.89 29.53 30.20 30.90 31.63 32.39 33.19 34.03 34.90 35.83 36.81 37.82 38.88 40.02 UNITED STATES LIFE TABLES. 181 THE CITY OF CHICAGO: 1901. REPORTED DEATHS IN 1900 (11,680), IN 1901 (10,968), AND IN 1902 (11,494). illustrative examples, showing how to use the tables, are given on pages 29 to 49. TABLE 65 STATIONARY FEMALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigrat on and Immigration, which, Assuming the Mortality Rales in Column 4, AGE INTERVAL. Op 100,000 Females Born Alive : Mortality per would result if 100,000 Females were Bora Alive Uniformly Throughout Each Year. Thousand. POPTJLATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPTJLATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 Average length of life remaining to each one alive at beginning of age interval. Including only those in current Population per death in age interval. Sum of numbers in column 6 in cur- Average annual death rate per thousand of pop- between two exact ages. alive at begin- ning of age interval. month or year of age. rent and all older age intervals. ulation in cur- rent and all older age intervals. x \ax-\-\ lx d x 1000^ o e x L* ~L x /d x Tx ioooyT x l 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Tears. Annual rate. In years. Per year. Annua! rate. 45-46 65 378 758 11.59 24.27 64 999 85.75 1 586 629 41.20 46-47 64 620 778 12.04 23.55 64 231 82.56 1 521 630 42.46 47-48 63 842 806 12.63 22.83 63 439 78.71 1 457 399 43.80 48-49 63 036 846 13.42 22.11 62 613 74.01 1 393 960 45.23 49-50 62 190 893 14.36 21.41 61 743 69.14 1 331 347 46.71 50-51 61 297 939 15.32 20.71 60 827 64.78 1 269 604 48.29 51-52 60 358 985 16.32 20.03 59 865 60.78 1 208 777 49.93 52-53 59 373 1 030 17.35 19.35 58 858 57.14 1 148 912 51.68 53-54 58 343 1 077 18.46 18.68 57 804 53.67 1 090 054 53.53 54-55 57 266 1 129 19.72 18.03 56 701 50.22 1 032 250 55.46 55-56 56 137 1 189 21.18 17.38 55 542 46.71 975 549 57.54 56-57 54 948 1 261 22.95 16.74 54 317 43.07 920 007 59.74 57-58 53 687 1 331 24.78 16.12 53 021 39.84 865 690 62.03 58-59 52 356 1 380 26.36 15.52 51 666 37.44 812 669 64.43 59-60 50 976 1 410 27.67 14.93 50 271 35.65 761 003 66.98 60 -«1 49 566 1 439 29.03 14.34 48 846 33.94 710 732 69.74 61-62 48 127 1 456 30.25 13.75 47 399 32.55 661 886 72.73 62-63 46 671 1 493 32.00 13.17 45 924 30.76 614 487 75.93 63-64 45 178 1 576 34.87 12.58 44 390 28.17 568 563 79.49 64-65 43 602 1 688 38.73 12.02 42 758 25.33 524 173 83.19 65-66 41 914 1 796 42.86 11.49 41 016 22.84 481 415 87.03 66-67 40 118 1 909 47.56 10.98 39 164 20.52 440 399 91.07 67-68 '38 209 1 987 52.01 10.50 37 216 18.73 401 235 95.24 68-69 36 222 2 006 55.39 10.05 35 219 17.56 364 019 99.50 69-70 34 216 1 983 57.94 9.61 33 224 16.75 328 800 104.06 70-71 32 233 1 961 60.84 9.17 31 253 15.94 295 576 109.05 71-72 30 272 1 934 63.88 8.73 29 305 15.15 264 323 114.55 72-73 28 338 1 910 67.40 8.29 27 383 14.34 235 018 120.63 73-74 26 428 1 900 71.90 7.86 25 478 13.41 207 635 127.23 74-75 24 528 1 898 77.37 7.43 23 579 12.42 182 157 134.59 75-76 22 630 1 882 83.17 7.01 21 689 11.52 158 578 142.65 76-77 20 748 1 869 90.08 6.60 19 814 10.60 136 889 151.52 77-78 18 879 1 864 98.75 6.20 17 947 9.63 117 075 161.29 78-79 17 015 1 852 108.86 5.83 16 089 8.69 99 128 171.53 79-80 15 163 1 822 120.16 5.48 14 252 7.82 83 039 182.48 80-81 13 341 1 763 132.16 5.16 12 459 7.07 68 787 193.80 81-82 11 578 1 671 144.27 4.87 10 742 6.43 56 328 205.34 82-83 9 907 1 545 155.99 4.60 9 135 5.91 45 586 217.39 83-84 8 362 1 397 167.07 4.36 7 663 5.49 36 451 229.36 84-85 6 965 1 237 177.62 4.13 6 346 5.13 28 788 242.13 85-86 5 728 1 077 188.04 3.92 5 189 4.82 22 442 255.10 86-87 4 651 925 198.92 3.71 4 188 4.53 17 253 269.54 87-88 3 726 786 210.81 3.51 3 333 4.24 13 065 284.90 88-89 2 940 658 224.01 3.31 2 611 3.96 9 732 302.11 89-90 2 282 545 238.52 3.12 2 009 3.69 7 121 320.51 90-91 1 737 441 254.11 2.94 1 517 3.44 5 112 340.14 91-92 1 296 351 270.40 2.77 1 121 3.20 3 595 361.01 92-93 945 271 287.07 2.62 810 2.98 2 474 381.68 93-94 674 205 303.98 2.47 572 2.79 1 664 404.86 94-95 469 151 321.25 2.33 394 2.61 1 092 429.18 95-96 318 108 339.20 2.20 264 2.45 698 454.55 96-97 210 75 358.25 2.07 173 2.29 434 483.09 97-98 135 51 378.73 1.94 109 2.14 261 515.46 98-99 84 34 400.82 1.82 67 1.99 152 549.45 99-100 50 21 424.53 1.71 40 • 1.86 85 584.80 100-101 29 13 449.76 1.59 22 1.72 45 628.93 101-102 16 8 476.41 1.49 12 1.60 23 671.14 102-103 8 4 504.43 1.39 6 1.48 11 719.42 103-104 4 2 533.79 1.30 3 1.37 5 769.23 104-105 2 1 564.63 1.21 1 1.27 2 826.45 105-106 1 1 597.02 1.12 1 1.18 1 892.86 182 UNITED STATES LIFE TABLES. TABLE 66 LIFE TABLE FOR FEMALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (1,064,497), AND ON THE Note. — An explanation of each column of the life tables is given on pages 25 to 29, and AGE INTERVAL. Period of lifetime between two exact ages. x to x+1 Of 100,000 Females Born Alive: Number alive at beginning of age interval. Number dying in age interval. Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. 1000 9x Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. e x STATIONARY FEMALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN CUEEENT AGE INTEEVAL. Including only those in current month or year of age. MEASUEE OF VITALITY. Population per death in age interval. Jj x /d x POPULATION IN CUE- EENT AND ALL OLDEB AGE INTEEVALS, Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH KATE PEE THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. lOOOZ^/Ts INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly rate. In years. Per month. Annual rate. LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 100 000 89 569 86 804 85 534 84 675 84 041 83 559 83 159 82 H29 82 557 82 328 82 129 81 9+4 81 763 81 574 81 370 81 146 80 898 80 62+ 80 327 80 008 79 667 79 305 78 926 78 538 78 1+3 77 7 11 77 331 76 911 76 477 76 025 75 555 75 065 74 555 74 027 73 484 72 925 72 348 71 759 71 159 70 552 69 935 69 311 68 670 67 994 Annual rate. 431 104.31 2 765 30.87 1 270 14.63 859 10.04 634 7.49 482 5.73 400 4.79 330 3.97 272 3.29 229 2.77 199 2.42 185 2.25 181 2.22 189 2.31 204 2.50 224 2.76 248 3.06 274 3.38 297 3.69 319 3.97 341 4.26 362 4.55 379 4.77 388 4.92 395 5.03 402 5.15 410 5.27 420 5.43 434 5.65 452 5.91 470 6.18 490 6.48 510 6.79 528 7.08 543 7.34 559 7.61 577 7.90 589 8.15 600 8.35 607 8.54 617 8.74 624 8.92 641 9.26 676 9.84 719 10.58 In years. 51.68 56.66 57.46 57.30 56.88 56.30 55.63 54.89 54.11 53.29 52.43 51.56 50.67 49.78 48.90 48.02 47.15 46.29 45.45 44.62 43.79 +2.98 42.17 41.37 40.57 39.78 38.98 38.18 37.39 36.60 35.81 35.03 34.26 33.49 32.72 31.96 31.20 30.45 29.69 28.94 28.18 27.43 26.67 25.92 25.17 92 594 87 938 86 131 85 088 84 345 83 800 83 359 82 994 82 693 82 4+3 82 229 82 037 81 854 81 668 81 472 81 258 81 022 80 761 80 +75 80 167 79 838 79 486 79 116 78 732 78 341 77 942 77 536 77 121 76 694 76 251 75 790 75 310 74 810 74 291 73 756 73 204 72 637 72 053 71 459 70 855 70 243 69 623 68 990 68 332 67 634 Per year. 8.88 31.80 67.82 99.05 133.04 173.86 208.40 251.50 304.02 360.01 413.21 443.44 452.23 432.11 399.37 362.76 326.70 294.75 270.96 251.31 234.13 219.57 208.75 202.92 198.33 193. 89 189.11 183.62 176.71 168.70 161.26 153.69 146.69 140.70 135.83 130.96 125.89 122.33 119.10 116.73 113.85 111.58 107.63 101.08 94.07 Annual rate 5 167 992 19.35 5 075 398 17.65 4 987 460 17.40 4 901 329 17.45 4 816 241 17.58 4 731 896 17.76 4 648 096 17.98 4 564 737 18.22 4 481 743 18.48 4 399 050 18.77 4 316 607 19.07 4 234 378 19.39 4 152 341 19.74 4 070 487 20.09 3 988 819 20.45 3 907 347 20.82 3 826 089 21.21 3 745 067 21.60 3 664 306 22.00 3 583 831 22.41 3 503 664 22.84 3 423 826 23.27 3 344 340 23.71 3 265 224 24.17 3 186 492 24.65 3 108 151 25.14 3 030 209 25.65 2 952 673 26.19 2 875 552 26.75 2 798 858 27.32 2 722 607 27.93 2 646 817 28.55 2 571 507 29.19 2 496 697 29.86 2 422 406 30.56 2 3+8 650 31.29 2 275 446 32.05 2 202 809 32.84 2 130 756 33.68 2 059 297 34.55 1 988 412 35.49 1 918 199 36.46 1 8+8 576 37.50 1 779 586 38.58 1 711 254 39.73 UNITED STATES LIFE TABLES. 183 THE CITY OF CHICAGO: 1910. REPORTED DEATHS IN 1909 (13,425), IN 1910 (14,072), AND IN 1911 (13,584). illustrative examples, showing how to use the tables, are given on pages 29 to 49. TABLE 66 STATIONARY FEMALE POPULATION, • Rate op Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x+1 h dx 1000 fo Cx L * L x /d x T* lOOOZz/Ts 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALE OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-16 67 275 765 11.36 24.43 66 893 87.44 1 643 620 40.93 46-47 66 510 812 12.21 23.71 66 104 81.41 1 576 727 42.18 47-48 65 698 854 13.00 22.99 65 271 76.43 1 510 623 43.50 48-49 64 844 885 13.65 22.29 64 401 72.77 1 445 352 44.86 49-50 63 959 910 14.22 21.59 63 504 69.78 1 380 951 46.32 50-51 63 049 937 14.87 20.90 62 580 66.79 1 317 447 47.85 51-52 62 112 967 15.56 20.20 61 629 63.73 1 254 867 49.50 52-53 61 145 1 003 16.41 19.51 60 644 60.46 1 193 238 51.26 53-54 60 142 1 056 17.56 18.83 !i 59 614 56.45 1 132 594 53.11 54-55 59 086 1 123 19.02 18.16 58 524 52.11 1 072 980 55.07 55-56 57 963 1 200 20.69 17.50 57 363 47.80 1 014 456 57.14 56-57 56 763 1 290 22.74 16.86 56 118 43.50 957 093 59.31 57-58 55 473 1 377 24.82 16.24 54 784 39.79 900 975 61.58 58-59 1 54 096 1 433 26.49 15.64 1 53 379 37.25 846 191 63.94 59-60 52 663 1 461 27.74 15.05 51 932 35.55 792 812 66.45 60-61 51 202 1 487 29.05 14.47 50 458 33.93 740 880 69.11 61-62 49 715 1 504 30.24 13.89 48 963 32.56 690 422 71.99 62-63 48 211 1 533 31.80 13.31 47 445 30.95 641 459 75.13 63-64 46 678 1 595 34.18 12.73 45 880 28.76 594 014 78.55 64-65 45 083 1 685 37.37 12.16 44 240 26.26 548 134 82.24 65-66 43 398 1 768 40.75 11.61 42 514 24.05 503 894 86.13 66-67 41 630 1 854 44.53 11.08 !l 40 703 21.95 461 380 90.25 67-68 39 776 1 928 48.48 10.58 ;: 38 812 20.13 420 677 94.52 68-69 37 848 1 977 52.24 10.09 36 859 18.64 381 865 99.11 69-70 35 871 2 005 55.87 9.62 34 869 17.39 345 006 103.95 70-71 33 866 2 029 59.92 9.16 i 32 852 16.19 310 137 109.17 71-72 31 837 2 046 64.27 8.71 30 814 15.06 277 285 114.81 72-73 29 791 2 061 69.17 8.27 28 761 13.95 246 471 120.92 73-74 27 730 2 077 .74.93 7.85 li 26 692 12.85 217 710 127.39 74-75 25 653 2 090 81.47 7.45 24 608 11.77 191 018 134.23 75-76 23 563 2 087 88.57 7.06 22 519 10.79 166 410 141.64 76-77 21 476 2 072 96.48 6.70 20 440 9.86 143 891 149.25 77-78 19 404 2 025 104.34 6.36 18 392 9.08 123 451 157.23 78-79 17 379 1 937 111.46 6.05 16 411 8.47 105 059 165.29 79-80 15 442 1 824 118.12 5.74 14 530 7.97 88 648 174.22 80-81 13 618 1 709 125.52 5.44 12 763 7.47 74 118 183.82 81-82 11 909 1 591 133.61 5.15 11 113 6.98 61 355 194.17 82-83 10 318 1 471 142.58 4.87 9 582 6.51 50 242 205.34 83-84 8 847 1 350 152.58 4.60 8 172 6.05 40 660 217.39 84-85 7 497 1 225 163.36 4.33 6 884 5.62 32 488 • 230.95 85-86 6 272 1 096 174.71 4.08 5 724 5.22 25 604 245.10 86-87 5 176 965 186.57 3.84 4 693 4.86 19 880 260.42 87-88 4 211 840 199.28 3.61 3 791 4.52 15 187 277.01 88-89 3 371 720 213.58 3.38 3 Oil 4.18 11 396 295.86 89-90 2 651 609 230.00 3.16 2 346 3.85 8 385 316.46 90-91 2 042 506 247.77 2.96 ! 1 789 3.54 6 039 337.84 91-92 1 536 410 266.56 2.77 1 331 3.25 4 250 361.01 92-93 1 126 321 285.39 2.59 966 3.00 2 919 386.10 93-94 805 245 304.88 2.43 682 2.78 1 953 411.52 94-95 560 182 325.07 2.27 469 2.58 1 271 440.53 95-96 378 131 346.10 2.13 312 2.39 802 469.48 96-97 247 91 368.16 1.99 201 2.22 490 502.51 97-98 156 61 391.50 1.86 125 2.05 289 537.63 98-99 95 40 416.32 1.74 75 1.90 164 574.71 99-100 55 24 442.72 1.62 43 1.76 89 617.28 100-101 31 15 470.72 1.51 24 1.62 46 662.25 101-102 16 8 500.25 1.40 12 1.50 22 714.29 102-103 8 4 531.17 1.30 6 1.38 10 769.23 103-104 4 2 563.33 1.21 3 1.28 4 826.45 104-105 2 1 596.81 1.12 1 1.18 1 892.86 105-106 1 1 631.57 1.04 1.08 961.54 L 184 UNITED STATES LIFE TABLES. TABLE 67 LIFE TABLE FOR MALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (1,779,796), AND ON THE Note. — An explanation of each column of the life tables is given on pages 25 to 29, and AGE INTERVAL Period of lifetime between two exact ages. x to r+1 Or 100,000 Males Born Alive: Number alive at beginning of age interval. Number dying in age interval. Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. 1000^ Complete Expectation op Life. Average length of life remaining to each one alive at beginning of age interval. STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Population per death in age interval. Lz/(4 Sum of numbers in column 6 in cur- rent and all older age intervals. T* DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. lOOOZz/Ts INFANT MORTALITY— FTRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 -1-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly rate. In years. Per month. Annual rate. LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 100 000 84 327 79 692 77 725 76 468 75 565 74 913 74 384 73 959 73 618 73 342 73 112 72 911 72 722 72 527 72 313 72 064 71 768 71 423 71 032 70 601 70 127 69 612 69 062 68 487 67 891 67 277 66 645 65 •193 65 311 64 593 63 840 63 050 62 229 61 386 60 529 <-,<> 657 58 771 57 869 56 947 56 000 55 030 54 032 53 013 51 980 Annual rate. 15 673 156.73 4 635 54.96 1 967 24.69 1 257 16.17 903 11.81 652 8.63 529 7.06 425 5.72 341 4.61 276 3.75 230 3.13 201 2.75 189 2.60 195 2.68 214 2.96 249 3.44 296 4.10 345 4.81 391 5.48 431 6.07 474 6.70 515 7.35 550 7.90 575 8.33 596 8.70 614 9.05 632 9.38 652 9.79 682 10.34 718 10.99 753 11.66 790 12.37 821 13.03 843 13.55 857 13.97 872 14.41 886 14.85 902 15.34 922 15.94 947 16.62 970 17.33 998 18.13 1 019 18.87 1 033 19.49 1 042 20.04 In years. 40.65 47.15 48.87 49.10 48.90 48.47 47.89 47.23 46.50 45.71 44.88 44.02 43.14 42.25 41.36 40.48 39.62 38.78 37.97 37.18 36.40 35.64 34.90 34.18 33.46 32.75 32.04 31.34 30.65 29.96 29.29 28.63 27.98 27.34 26.71 26.08 25.46 24.83 24.21 23.60 22.99 22.38 21.79 21.20 20.61 88 715 81 592 78 649 77 071 7.5 998 75 239 74 648 74 171 73 788 73 480 73 227 73 012 72 817 72 625 72 420 72 188 71 916 71 596 71 227 70 816 70 364 69 870 69 337 68 774 68 189 67 584 66 961 66 319 65 652 64 952 64 217 63 445 62 640 HI 808 60 957 60 093 59 214 58 320 57 408 56 474 55 515 54 531 53 522 52 496 51 459 Per year. 5.66 17.60 39.98 61.31 84.16 115.40 141.11 174.52 216.39 266.23 318.38 363.24 385.28 372.44 338.41 289.91 242.96 207.52 182.17 164.31 148.45 135.67 126.07 119.61 114.41 110.07 105.95 101.72 96.26 90.46 85.28 80.31 76.30 73.32 71.13 68.91 66.83 64.66 62.26 59.63 57.23 54.64 52.52 50.82 49.38 Annual rate 4 065 000 24.60 3 976 285 21.21 3 894 693 20.46 3 816 044 20.37 3 738 973 20.45 3 662 975 20.63 3 587 736 20.88 3 513 088 21.17 3 438 917 21.51 3 365 129 21.88 3 291 649 22.28 3 218 422 22.72 3 145 410 23.18 3 072 593 23.67 2 999 968 24.18 2 927 548 24.70 2 855 360 25.24 2 783 444 25.79 2 711 848 26.34 2 640 621 26.90 2 569 805 27.47 2 499 441 28.06 2 429 571 28.65 2 360 234 29.26 2 291 460 29.89 2 223 271 30.53 2 155 687 31.21 2 088 726 31.91 2 022 407 32.63 1 956 755 33.38 1 891 803 34.14 1 827 586 34.93 1 764 141 35.74 1 701 501 36.58 1 639 693 37.44 1 578 736 38.34 1 518 643 39.28 1 459 429 40.27 1 401 109 41.31 1 343 701 42.37 1 287 227 43.50 1 231 712 44.68 1 177 181 45.89 1 123 659 47.17 1 071 163 48.52 UNITED STATES LIFE TABLES. 185 THE CITY OF NEW YORK: 1901. REPORTED DEATHS IN 1900 (38,029), IN 1901 (38,174), AND IN 1902 (36;899). illustrative examples, showing how to use the tables, are given on pages 29 to 49. TABLE 67 STATIONARY MALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which. Assuming the Mortality Rales rn Column 4, AGE INTERVAL. Of 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Bora Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUE- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to £+1 kc 4 lOOOfe «as L* Jj x /d x Tz lOOO^/T, 1 2 3 4 5 6 7 8 9 LIFE TABLE FOE WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 50 938 1 053 20.68 20.02 50 411 47.87 1 019 704 49.95 46-47 49 885 1 066 21.37 19.43 49 352 46.30 969 293 51.47 47-48 48 819 1 087 22.26 18.84 48 275 44.41 919 941 53.08 48-49 47 732 1 115 23.37 18.26 47 174 42.31 871 666 54.76 49-50 46 617 1 147 24.60 17.69 46 043 40.14 824 492 56.53 50-51 45 470 1 174 25.82 17.12 44 883 38.23 778 449 58.41 51-52 44 296 1 198 27.04 16.56 43 697 36.47 733 566 60.39 52-53 43 098 1 220 28.32 16.01 42 488 34.83 689 869 62.46 53-54 41 878 1 249 29.82 15.46 41 253 33.03 647 381 64.68 54-55 40 629 1 286 31.63 14.92 39 986 31.09 606 128 67.02 55-56 39 343 1 325 33.69 14.39 38 681 29.19 566 142 69.49 56-57 38 018 1 372 36.09 13.87 37 332 27.21 527 461 72.10 57-58 36 646 1 417 38.67 13.37 35 937 25.36 490 129 74.79 58-59 35 229 1 445 41.01 12.89 34 506 23.88 454 192 77.58 59-60 33 784 1 454 43.03 12.42 33 057 22.74 419 686 80.52 60-61 32 330 1 458 45.12 11.96 31 601 21.67 386 629 83.61 61-62 30 872 1 455 47.13 11.50 30 144 20.72 355 028 86.96 62-63 29 417 1 453 49.38 11.04 28 690 19.75 324 884 90.58 63-64 27 964 1 464 52.36 10.59 27 232 18.60 296 194 94.43 64-65 26 500 1 489 56.18 10.15 25 755 17.30 268 962 98.52 65-66 25 Oil 1 512 60.46 9.72 24 255 16.04 243 207 102.88 66-67 23 499 1 528 65.00 9.32 22 735 14.88 218 952 107.30 67-68 21 971 1 513 68.88 8.93 21 215 14.02 196 217 111.98 68-69 20 458 1 485 72.58 8.55 19 716 13.28 175 002 116.96 69-70 18 973 1 445 76.17 8.18 18 251 12.63 155 286 122.25 70-71 17 528 1 400 79.89 7.82 16 828 12.02 137 035 . 127.88 71-72 16 128 1 356 84.07 7.45 15 450 11.39 120 207 134.23 72-73 14 772 1 316 89.07 7.09 14 114 10.72 104 757 141.04 73-74 13 456 1 280 95.13 6.74 12 816 10.01 90 643 148.37 74-75 12 176 1 245 102.30 6.39 11 553 9.28 77 827 156.49 75-76 10 931 1 207 110.42 6.06 10 327 8.56 66 274 165.02 76-77 9 724 1 159 119.16 5.75 9 144 7.89 55 947 173.91 77-78 8 565 1 098 128.16 5.46 8 016 7.30 46 803 183.15 78-79 7 467 1 024 137.12 5.19 6 955 6.79 38 787 192.68 79-80 6 443 940 145.92 4.94 5 973 6.35 31 832 202.43 80-81 5 503 851 154.62 4.70 5 078 5.97 25 859 212.77 81-82 4 652 760 163.45 4.47 4 272 5.62 20 781 223.71 82-83 3 892 673 172.77 4.24 3 556 5.29 16 509 235.85 83-84 3 219 588 182.88 4.02 2 925 4.97 12 953 248.76 84-85 2 631 511 193.95 3.81 2 376 4.66 10 028 262.47 85-86 2 120 436 206.01 3.61 1 902 4.35 7 652 277.01 86-87 1 684 369 218.94 3.42 1 499 4.07 5 750 292.40 87-88 1 315 306 232.50 3.23 1 162 3.80 4 251 309.60 88-89 1 009 249 246.49 3.06 885 3.56 3 089 326.80 89-90 760 198 260.81 2.90 661 3.33 2 204 344.83 90-91 562 155 275.48 2.74 485 3.13 1 543 364.96 91-92 407 118 290.63 2.60 348 2.94 1 058 384.62 92-93 289 89 306.42 2.46 245 2.76 710 406.50 93-94 200 64 323.06 2.32 168 2.60 465 431.03 94-95 136 47 340.73 2.19 113 2.43 297 456.62 95-96 89 32 359.57 2.07 73 2.28 184 483.09 96-97 57 21 379.61 1.95 46 2.13 111 512.82 97-98 36 15 400.87 1.83 28 1.99 65 546.45 98-99 21 9 423.32 1.72 17 1.86 37 581.40 99-100 12 5 446.94 1.61 10 1.74 20 621.12 100-101 7 3 471.74 1.51 5 1.62 10 662.25 101-102 4 2 497.71 1.42 3 1.51 5 704.23 102-103 2 1 524.96 1.33 1 1.40 2 751.88 103-104 1 1 553.54 1.24 1 1.31 1 806.45 186 UNITED STATES LIFE TABLES. TABLE 68 LIFE TABLE FOR MALES IN BASED ON 'THE ESTIMATED POPULATION JULY 1, 1910 (2,396,502), AND ON THE Note.— An explanation of each column of the life tables is given on pages 25 to 29, and AGE INTERVAL. Period of lifetime between two exact ages. x to z+1 Op 100,000 Males Born Alive: Number alive at beginning of age interval. Number dyint in age interval Rate op Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. lOOOgz Complete Expectation op Life. Average length of life remaining to each one alive at beginning of age interval. e x STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. MEASURE OF VITALITY. Population per death in age interval. "Lx/d x POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. Sum of numbers in column 6 in cur- rent and all older age intervals. DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. loooyTz INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 Monthly rate. In years. Per month. Annual rate. 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. O-l 100 OOO 13 186 131.86 45.30 90 506 6.86 4 530 257 22.08 1-2 86 814 3 613 41.61 51.14 84 682 23.44 4 439 751 19.55 2-3 83 201 1 602 19.25 52.34 82 352 51.41 4 355 069 19.11 3-4 81 599 890 10.92 52.36 ! 81 136 91.16 4 272 717 19.10 4-5 80 709 616 7.63 51.93 80 389 130.50 4 191 581 19.26 5-6 80 093 489 6.12 51.33 79 848 163.29 4 111 192 19.48 6-7 79 604 390 4.89 50.64 79 409 203.61 4 031 344 19.75 7-8 79 214 311 3.92 49.89 79 059 254.21 3 951 935 20.04 8-9 78 903 251 3.18 49.08 78 778 313.86 3 872 876 20.37 9-10 78 652 209 2.66 48.24 78 548 375.83 3 794 098 20.73 10-11 78 443 183 2.33 47.37 78 352 428.15 3 715 550 21.11 11-12 78 260 171 2.19 46.48 78 174 457.16 3 637 198 21.51 12-13 78 089 173 2.21 45.58 78 002 450.88 3 559 024 21.94 13-14 77 916 184 2.37 44.68 77 824 422.96 3 481 022 22.38 14-15 77 732 205 2.64 43.78 77 630 378.68 3 403 198 22.84 15-16 77 527 234 3.02 42.90 77 410 330.81 3 325 568 23.31 16-17 77 293 271 3.51 42.02 77 157 284.71 3 248 158 23.80 17-18 77 022 305 3.96 41.17 76 870 252.03 3 171 001 24.29 18-19 76 717 328 4.28 40.33 76 553 233.39 3 094 131 24.80 19-20 76 389 344 4.51 39.50 76 217 221.56 3 017 578 25.32 20-21 76 045 363 4.78 38.68 75 863 208.99 2 941 361 25.85 21-22 75 682 383 5.06 37.86 75 491 197.10 2 865 498 26.41 22-23 75 299 400 5.32 37.05 75 099 187.75 2 790 007 26.99 23-24 74 899 418 5.58 36.25 74 690 178.68 2 714 908 27.59 24-25 74 481 435 5.84 35.45 74 264 170.72 2 640 218 28.21 25-26 74 046 452 6.11 34.65 ! 73 820 163.32 2 565 954 28.86 26-27 73 594 470 6.39 33.86 73 359 156.08 2 492 134 29.53 27-28 73 124 491 6.72 33.08 72 879 148.43 2 418 775 30.23 28-29 72 633 519 7.15 32.30 72 373 139.45 2 345 896 30.96 29-30 72 114 553 7.67 31.53 71 837 129.90 2 273 523 31.72 30-31 71 561 588 8.22 30.77 71 267 121.20 2 201 686 32.50 31-32 70 973 626 8.82 30.02 70 660 112.88 2 130 419 33.31 32-33 70 347 667 9.48 29.28 70 013 104.97 2 059 759 34.15 33-34 69 680 707 10.15 28.56 69 326 98.06 1 989 746 35.01 34-35 68 973 746 10.81 27.84 68 600 91.96 1 920 420 35.92 35-36 68 227 785 11.51 27.14 67 834 86.41 1 851 820 36.85 36-37 67 442 824 12.23 26.45 67 030 81.35 1 783 986 37.81 37-38 66 618 860 12.91 25.77 66 188 76.96 1 716 956 38.80 38-39 65 758 890 13.53 25.10 65 313 73.39 1 650 768 39.84 39-40 64 868 918 14.14 24.44 64 409 70.16 1 585 455 40.92 40-41 63 950 945 14.79 23.78 63 477 67.17 1 521 046 42.05 41-42 63 005 974 15.46 23.13 62 518 64.19 1 457 569 43.23 42-43 62 031 1 004 16.18 22.49 61 529 61.28 1 395 051 44.46 43-44 61 027 1 034 16.95 21.85 60 510 58.52 1 333 522 45.77 44-45 59 993 1 066 17.77 21.22 59 460 55.78 1 273 012 47.13 UNITED STATES LIFE TABLES. THE CITY OF NEW YORK: 1910. REPORTED DEATHS IN 1909 (40,388), IN 1910 (41,763), AND IN 1911 (41,118). 187 TABLE 68 illustrative examples, showing how to use the tables, are given on pages 29 to 49. ■ — - ' 1 STATIONARY MALE POPULATION, Bate of Complete Expectation of Life. Unaffected by Emigrat on and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to x-\-\ <>x d x 1000? x e x L* W*r T* loooyTs 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 58 927 1 097 18.63 20.59 58 378 53.22 1 213 552 48.57 46-47 57 830 1 130 19.53 19.98 57 265 50.68 1 155 174 50.05 47-48 56 700 1 163 20.50 19.36 56 119 48.25 1 097 909 51.65 48-49 55 537 1 195 21.52 18.76 54 940 45.97 1 041 790 53.30 49-50 54 342 1 227 22.58 18.16 53 729 43.79 986 850 55.07 50-51 53 115 1 258 23.70 17.57 52 486 41.72 933 121 56.92 51-52 51 857 1 290 24.87 16.98 51 212 39.70 880 635 58.89 52-53 50 567 1 321 26.13 16.40 49 907 37.78 829 423 60.98 53-54 49 246 1 357 27.56 15.83 48 568 35.79 779 516 63.17 54-55 47 889 1 402 29.28 15.26 47 188 33.66 730 948 65.53 55-56 46 487 1 455 31.29 14.71 45 759 31.45 683 760 67.98 56-57 45 032 1 517 33.70 14.17 44 273 29.18 638 001 70.57 57-58 43 515 1 589 36.51 13.64 42 720 26.88 593 728 73.31 58-59 41 926 1 651 39.38 13.14 41 100 24.89 551 008 76.10 59-60 40 275 1 694 42.06 12.66 39 428 23.28 509 908 78.99 60-61 38 581 1 730 44.82 12.19 37 716 21.80 470 480 82.03 61-62 36 851 1 752 47.56 11.74 35 975 20.53 432 764 85.18 62-63 35 099 1 764 50.24 11.30 34 217 19.40 396 789 88.50 63-64 33 335 1 769 53.08 10.88 32 451 18.34 362 572 91.91 64-65 31 566 1 774 56.19 10.46 30 679 17.29 330 121 95.60 65-66 29 792 1 769 59.39 10.05 28 907 16.34 299 442 99.50 66-67 28 023 1 757 62.69 9.65 27 144 15.45 270 535 103.63 67-68 26 266 1 739 66.19 9.27 25 397 14.60 243 391 107.87 68-69 24 527 1 713 69.88 8.89 23 671 13.82 217 994 112.49 69-70 22 814 1 682 73.71 8.52 21 973 13.06 194 323 117.37 70-71 21 132 1 643 77.75 8.16 20 311 12.36 172 350 122.55 71-72 19 489 1 599 82.06 7.80 18 689 11.69 152 039 128.21 72-73 17 890 1 558 87.08 7.45 17 111 10.98 133 350 134.23 73-74 16 332 1 513 92.66 7.12 15 575 10.29 116 239 140.45 74-75 14 819 1 464 98.76 6.79 14 087 9.62 100 664 147.28 75-76 13 355 1 406 105.27 6.48 12 652 9.00 86 577 154.32 76-77 11 949 1 338 112.02 6.19 11 280 8.43 73 925 161.55 77-78 10 611 1 262 118.87 5.90 9 980 7.91 62 645 169.49 78-79 9 349 1 175 125.74 5.63 8 762 7.46 52 665 177.62 79-80 8 174 1 085 132.67 5.37 7 632 7.03 43 903 186.22 80-81 7 089 991 139.82 5.12 6 594 6.65 36 271 195.31 81-82 6 098 899 147.42 4.87 5 649 6.28 29 677 205.34 82-83 5 199 809 155.71 4.62 4 794 5.92 24 028 216.45 83-84 4 390 724 164.87 4.38 4 028 5.57 19 234 228.31 84-85 3 666 642 175.02 4.15 3 345 5.21 15 206 240.96 85-86 3 024 563 186.18 3.92 2 743 " 4.87 11 861 255.10 86-87 2 461 488 198.26 3.70 2 217 4.54 9 118 270.27 87-88 1 973 416 211.16 3.50 1 765 4.24 6 901 285.71 88-89 1 557 350 224.80 3.30 1 382 3.95 5 136 303.03 89-90 1 207 289 239.15 3.11 1 062 3.68 3 754 321.54 90-91 918 233 254.26 2.93 801 3.43 2 692 341.30 91-92 685 185 270.19 2.76 592 3.20 1 891 362.32 92-93 500 144 287.02 2.60 428 2.98 1 299 384.62 93-94 356 108 304.82 2.44 302 2.78 871 409.84 94-95 248 80 323.64 2.30 208 2.59 569 434.78 95-96 168 58 343.52 2.16 139 2.41 361 462.96 96-97 110 40 364.49 2.02 90 2.24 222 495.05 97-98 70 27 386.60 1.90 56 2.09 132 526.32 98-99 43 18 409.91 1.77 34 1.94 76 564.97 99-100 25 11 434.46 1.66 20 1.80 42 602.41 100-101 14 6 460.28 1.55 11 1.67 22 645.16 101-102 8 4 487.43 1.45 6 1.55 11 689.66 102-103 4 2 515.95 1.35 3 1.44 5 740.74 103-104 2 1 545.87 1.26 1 1.33 2 793.65 104-105 1 1 577.22 1.17 1 1.23 1 854.70 188 UNITED STATES LIFE TABLES. TABLE 69 LIFE TABLE FOR FEMALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (1,803,278), AND ON THE Note. — An explanation of each column of the life tables is given on pages 25 to 29, and ■ — ' ~~i STATIONARY FEMALE POPULATION, AGE INTERVAL. Of 100,000 Females Born Alive: Rate of Mortality per Thousand. Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUE- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to x-\-X lx dx 1000 fe o Li W<4 Tz loooyTs 1 2 3 4 5 6 7 8 9 INFA NT MORTAL] TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 S-9 9-10 10-11 11-12 Monthly rate. In years. Per month. Annual rate. LIF] 3 TABLE FOl ^ WHOLE RA1 >JGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 1-2 2-3 3-4 4-5 100 000 86 702 82 436 80 544 79 357 13 298 4 266 1 892 1 187 899 132.98 49.20 22.95 14.74 11.32 44.86 50.70 52.30 52.52 52.30 90 558 84 185 81 433 79 926 78 889 6.81 19.73 43.04 67.33 87.75 4 486 189 4 395 631 4 311 446 4 230 013 4 150 087 22.29 19.72 19.12 19.04 19.12 5-6 6-7 7-8 8-9 9-10 78 458 77 785 77 283 76 908 76 620 673 502 375 288 232 8.58 6.45 4.86 3.74 3.02 51.89 51.33 50.66 49.91 49.10 78 121 77 534 77 095 76 764 76 504 116.08 154.45 205.59 266.54 329.76 4 071 198 3 993 077 3 915 543 3 838 448 3 761 684 19.27 19.48 19.74 20.04 20.37 10-11 11-12 12-13 13-14 14-15 76 388 76 187 75 997 75 805 75 600 201 190 192 205 218 2.63 2.49 2.54 2.69 2.88 48.24 47.37 46.49 45.60 44.72 76 288 76 092 75 901 75 703 75 491 379.54 400.48 395.32 369.28 346.29 3 685 180 3 608 892 3 532 800 3 456 899 3 381 196 20.73 21.11 21.51 21.93 22.36 15-16 16-17 17-18 18-19 19-20 75 382 75 141 74 869 74 564 74 223 241 272 305 341 374 3.20 3.62 4.09 4.57 5.04 43.85 42.99 42.15 41.32 40.50 75 262 75 005 74 717 74 393 74 036 312.29 275.75 244.97 218.16 197.96 3 305 705 3 230 443 3 155 438 3 080 721 3 006 328 22.81 23.26 23.72 24.20 24.69 20-21 21-22 22-23 23-24 24-25 73 849 73 442 73 005 72 539 72 047 407 437 466 492 517 5.51 5.96 6.38 6.78 7.19 39.71 38.92 38.15 37.40 36.65 73 616 73 224 72 772 72 293 71 7S8 180.95 167.56 156.16 146.94 138.85 2 932 292 2 858 616 2 785 122 2 712 650 2 640 357 25.18 25.69 26.21 26.71 27.29 25-26 26-27 27-28 28-29 29-30 71 530 70 986 70 415 69 822 69 209 544 571 593 613 629 7.60 8.03 8.43 8.78 9.09 35.91 35.18 34.46 33.75 33.04 71 258 70 701 70 119 69 515 68 894 130.99 123.82 118.24 113.40 109.53 2 568 569 2 497 311 2 426 610 2 356 491 2 286 976 27.85 28.43 29.02 29.63 30.27 30-31 31-32 32-33 33-34 34-35 68 580 67 933 67 268 66 586 65 891 647 665 682 695 704 9.43 9.79 10.14 10.43 10.68 32.34 31.65 30.95 30.27 29.58 68 256 67 600 66 927 66 238 65 539 105.50 101.65 98.13 95.31 93.10 2 218 082 2 149 826 2 082 226 2 015 299 1 919 061 30.92 31.60 32.31 33.04 33.81 35-36 36-37 37-38 38-39 39-40 65 187 64 476 63 757 63 030 62 288 711 719 727 742 762 10.92 11.14 11.40 11.77 12.24 28.89 28.21 27.52 26.83 26.15 64 831 64 116 63 394 62 659 61 907 91.18 89.17 87.20 84.45 81.24 I 883 522 1 818 691 1 754 575 1 691 181 1 628 522 34.61 35.45 36.34 37.27 38.24 40-41 41-42 42-13 43-44 44-45 61 526 60 742 59 932 59 099 58 256 784 810 833 843 817 12.74 13.34 13.89 11.27 14.55 25.46 24.78 24.11 23.45 22.78 61 134 60 337 59 515 58 678 57 832 77.98 74.49 71.45 69.61 68.28 1 566 615 1 505 481 1 445 144 1 385 629 1 326 951 39.28 40.36 41.48 42.64 43.90 UNITED STATES LIFE TABLES. THE CITY OF NEW YORK: 1901. REPORTED DEATHS IN 1900 (32,838), IN 1901 (32,434), AND IN 1902 (31,087). illustrative examples, showing how to use the tables, are given on pages 29 to 49. 189 TABLE 69 STATIONARY FEMALE POPULATION, AGE INTERVAL. Of 100,000 Females Born Alive: Rate of Mortality per Thousand. Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. POPULATION IN MEASURE OF POPULATION IN CUE- DEATH RATE CURRENT AGE INTERVAL. VITALITY. RENT AND ALL OLDER AGE INTERVALS. PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X tOE+l h dx 1000 ?x o ex i* W*c % ioooyT x 1 2 3 4 5 6 7 8 9 LIFE TABLE FOE WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 57 409 S55 14.88 22.11 56 981 66.64 1 269 119 45.23 46-47 56 554 861 15.22 21.43 56 124 65.18 1 212 138 46.66 47- 48 55 693 881 15.82 20.76 55 253 62.72 1 156 014 48.17 48-49 54 812 922 16.84 20.08 54 351 58.95 1 100 761 49.80 49-50 53 890 979 18.16 19.42 53 400 54.55 1 016 410 51.49 50-51 52 911 1 031 19.49 18.77 52 395 50.82 993 010 53.28 51-52 51 880 1 084 20.89 18.13 51 33S 47.36 940 615 55.16 52-53 50 796 1 133 22.30 17.51 50 230 44.33 889 277 57.11 53-54 49 663 1 179 23.74 16.89 49 074 41.62 839 047 59.21 54-55 48 484 1 229 25.35 16.29 47 870 38.95 799 973 61.39 55-56 47 255 1 286 27.21 15.70 46 612 36.25 742 103 63.69 56-57 45 969 1 351 29.38 15.13 45 294 33.53 695 491 66.09 57-58 44 618 1 416 31.75 14.57 43 910 31.01 850 197 68.63 58-59 43 202 1 469 33.99 14.03 1 42 467 28.91 606 287 71.28 59-80 41 733 1 501 35.98 13.51 40 982 27.30 563 820 74.02 60-61 40 232 1 528 37.98 13.00 39 468 25.S3 522 838 76.92 61-62 38 704 .1 544 39.89 12.49 37 932 24.57 483 370 80.06 62-63 37 160 1 558 41.92 11.99 36 381 23.35 445 438 83.40 63-64 35 602 1 581 44.42 11.49 34 811 22.02 409 057 87.03 64-65 34 021 1 618 47.56 11.00 33 212 20.53 374 246 90.91 65-66 32 403 1 653 51.01 10.52 31 576 19.10 341 034 95.06 66-67 30 750 1 692 55.02 10.06 29 904 17.67 309 458 99.40 67-68 29 058 1 727 59.42 9.62 28 191 16.33 279 554 103.95 68-69 27 331 1 738 63.62 9.20 26 462 15.23 251 360 10S.70 69-70 25 593 1 726 67.43 8.79 24 730 14.33 224 898 113.77 70-71 23 867 1 707 71.52 8.39 23 013 13.48 200 168 119.19 71-72 22 160 I 677 75.69 7.99 21 321 12.71 177 155 125.16 72-73 20 483 1 654 80.73 7.61 19 656 11.88 155 834 131.41 73-74 18 829 1 625 86.31 7.23 18 016 11.09 136 178 138.31 74-75 17 -204 1 591 92.50 6.87 16 108 10.31 118 162 145.56 75-76 15 613 1 551 99.30 6.52 14 837 9.57 101 754 153.37 76-77 14 062 1 499 106.65 6.18 13 312 8.88 86 917 161.81 77-78 12 563 1 439 114.50 5.86 11 843 8.23 73 605 170.65 78-79 11 124 1 365 122.77 5.55 10 441 7.65 61 762 180.18 79-80 9 759 1 283 131.44 5.26 9 117 7.11 51 321 190.11 80-81 8 476 1 192 140.57 4.98 7 880 6.61 42 204 200.80 81-82 7 284 1 094 150.23 4.71 6 737 6.16 34 324 212.31 82-83 6 190 994 160.53 4.46 5 693 5.73 27 587 224.22 83-84 5 196 891 171.51 4.21 4 751 5.33 21 894 237.53 84-85, 4 305 788 183.18 3.98 3 911 4.96 17 143 251.26 85-86 3 517 688 195.48 3.76 3 173 4.62 13 232 265.96 86-87 2 829 589 208.34 3.56 2 534 4.30 10 059 280.90 87-88 2 240 497 221.68 3.36 1 991 4.01 7 525 297.62 88-89 1 743 410 235.50- 3.18 1 538 3.75 5 534 314.47 89-90 1 333 333 249.83 3.00 1 166 3.50 3 996 333.33 90-91 1 000 265 264.78 2.83 867 3.28 2 830 353.36 91-92 735 206 280.46 2.67 632 3.07 1 963 374.53 92-93 529 157 297.01 2.52 450 2.87 1 331 396.83 93-94 372 117 314.55 2.37 313 2.68 881 421.94 94-95 255 85 333.14 2.23 ! 212 2.50 568 448.43 95-96 170 60 352.82 2.10 140 2.33 356 476.19 96-97 110 41 373.59 1.97 89 2.18 216 507.01 97-98 69 27 395.48 1.85 55 2.03 127 540.54 98-99 42 18 418.48 1.74 33 1.89 72 574.71 99-100 24 11 442.65 1.63 19 1.76 39 613.50 100-101 13 6 468.06 1.52 10 1.64 20 657.89 101-102 7 3 494.74 1.43 5 1.52 10 699.30 102-103 4 2 522.75 1.33 3 1.41 5 751.88 103-104 2 1 552.10 1.24 1 1.31 2 806.45 104-105 1 1 582.84 1.16 1 1.22 1 862.07 190 UNITED STATES LIFE TABLES. TABLE 70 LIFE TABLE FOR FEMALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (2,398,433), AND ON THE Note. — An explanation of each column of the life tables is given on pages 25 to 29, and STATIONARY FEMALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. ■ Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUE- KENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to X+l <>x d x 1000? x h L* Lr/da; T* loooyTz 1 2 3 4 5 6 7 8 9 INFA NT MORTALI TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 5-6 Monthly rate. In years. Per month. Annual rate. 6-7 7-8 8-9 9-10 10-11 11-12 LIF1 I TABLE PO] * WHOLE RA] TOE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. Annual rate. In years. Per year. Annual rate. 0-1 100 000 11 405 114.05 49.46 91 902 8.06 4 946 392 20.22 1-2 88 595 3 357 37.89 54.79 86 614 25.80 4 854 490 18.25 2-3 85 238 1 402 16.45 55.94 84 495 60.27 4 767 876 17.88 3-4 83 836 945 11.27 55.86 83 344 88.19 4 683 381 17.90 4-5 82 891 599 7.22 55.50 82 580 137.86 4 600 037 18.02 5-6 82 292 434 5.28 54.90 82 075 189.11 4 517 457 18.21 6-7 81 858 365 4.47 54.18 81 675 223.77 4 435 382 18.46 18.72 7-8 81 493 306 3.75 53.42 81 340 265.82 4 353 707 8-9 81 187 255 3.15 52.62 81 060 317.88 4 272 367 19.00 9-10 80 932 217 2.68 51.79 80 824 372.46 4 191 307 19.31 10-11 80 715 190 2.36 50.93 80 620 424.32 4 110 483 19.63 11-12 80 525 175 2.17 50.04 80 438 459.65 4 029 863 19.98 12-13 80 350 170 2.12 49.15 80 265 472.15 3 949 425 20.35 13-14 80 180 175 2.18 48.26 80 092 457.67 3 869 160 20.72 14-15 80 005 186 2.33 47.36 79 912 429.63 3 789 068 21.11 15-16 79 819 203 2.55 46.47 79 717 392.69 3 709 156 21.52 16-17 79 616 225 2.82 45.59 79 504 353.35 3 629 439 21.93 17-18 79 391 247 3.11 14.71 79 268 320.92 3 549 935 22.37 18-19 79 144 269 3.41 43.85 79 010 293.72 3 470 667 22.81 19-20 78 875 291 3.69 43.00 78 729 270.55 3 391 657 23.26 20-21 78 584 313 3.98 42.16 78 427 250.57 3 312 928 23.72 21-22 78 271 334 4.26 41.32 78 104 233.84 3 234 501 24.20 22-23 77 937 352 4.53 40.50 77 761 220.91 3 156 397 24.69 23-24 77 585 371 4.78 39.68 77 400 208.63 3 078 636 25.20 24-25 77 214 389 5.04 38.87 77 020 197.99 3 001 236 25.73 25-26 76 825 408 5.32 38.06 76 621 187.80 2 924 216 26.27 26-27 76 417 431 5.64 37.26 76 201 176.80 2 847 595 26.84 27-28 75 986 452 5.9S 36. 47 75 760 167.61 2 771 394 27.42 28-29 75 534 471 6.23 35.69 75 298 159.87 2 695 634 28.02 29-30 75 063 488 6.50 34.91 74 819 153.32 2 620 336 28.65 30-31 74 575 506 6.79 34.13 74 322 146.88 2 545 517 29.30 31-32 74 069 526 7.11 33.36 73 806 140.32 2 471 195 29.98 32-33 73 543 548 7.45 32.60 73 269 133.70 2 397 389 30.67 33-34 72 995 570 7.81 31.84 72 710 127.56 2 324 120 31.41 34-35 72 425 591 8.16 31.09 72 129 122.05 2 251 410 32.16 35-36 71 834 612 8.51 30.34 71 528 116.88 2 179 281 32.96 36-37 71 222 630 8.86 29.59 70 907 112.55 2 107 753 33.80 37-38 70 592 649 9.19 28.85 70 267 108.27 2 036 846 34.66 38-39 69 943 665 9.51 28.12 69 610 104.68 1 966 579 35.56 39-40 69 278 683 9.86 27.38 68 936 100.93 1 896 969 36.52 40-41 68 595 702 10.23 26.65 68 241 97.21 1 828 033 37.52 41-42 67 893 723 10.64 25.92 67 531 93.40 1 759 789 38.58 42-43 67 170 745 11.09 25.19 66 798 89.66 1 692 258 39.70 43-44 66 425 770 11.59 24.47 66 040 85.77 1 625 460 40.87 44-45 65 655 796 12.12 23.75 65 257 81.98 1 559 420 42.11 UNITED STATES LIFE TABLES. 191 THE CITY OF NEW YORK: 1910. REPORTED DEATHS IN 1909 (33,875), IN 1910 (35,024), AND IN 1911 (34,211). illustrative examples, showing how to use the tables, are given on pages 29 to 49. TABLE 70 STATIONARY FEMALE POPULATION, Rate op Complete Expectation or Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, AGE INTERVAL. Of 100,000 Females Born Alive: Mortality per would result if 100,000 Females were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 Average length of life remaining to each one alive at beginning of age interval. Including only those in current Population per death in age interval. . Sum of numbers in column 6 in cur- Average annual death rate per thousand of pop- between two exact ages. alive at begin- ning of age interval. month or year of age. rent and all older age intervals. ulation in cur- rent and all older age intervals. x tox+1 lx d x i(mq x o ex li x li x ld x T* lOOOZz/Tz 1 2 3 4 5 6 1 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rale. In years. Per year. Annual rate. 45-46 64 859 824 12.70 23.04 64 447 78.21 1 494 163 43.40 46-47 64 035 853 13.33 22.33 63 609 74.57 1 429 716 44.78 47-48 63 182 SB7 14.04 21.62 62 738 70.73 1 366 107 46.25 48-49 62 295 923 14.82 20.92 61 833 66.99 1 303 369 47.80 49-50 61 372 963 15.69 20.23 60 890 63.23 1 241 536 49.43 50-51 60 409 1 005 16.63 19.54 59 906 59.61 1 180 646 51.18 51-52 59 404 1 047 17.64 18.87 58 880 56.24 1 120 740 52.99 52-53 58 357 1 096 18.78 18.20 57 809 52.75 1 061 860 54.95 53-54 57 261 1 154 20.14 17.53 56 684 49.12 1 004 051 57.05 54-55 56 107 1 223 21.81 16.89 55 496 45.38 947 367 59.21 55-56 54 884 1 304 23.76 16.25 54 232 41.59 891 871 61.54 56-57 53 580 1 399 26.10 15.63 52 880 37.80 837 639 63.98 57-58 52 181 1 497 28.70 15.04 51 432 34.36 784 759 66.49 58-59 50 684 1 579 31.16 14.47 49 894 31.60 733 327 69.11 59-60 49 105 1 636 33.31 13.92 48 287 29.52 683 433 71.84 60-61 47 469 1 685 35.50 13.38 46 626 27.67 635 146 74.74 61-62 45 784 1 720 37.57 12.85 44 924 26.12 588 520 77.82 62-63 44 064 1 753 39.77 12.34 43 188 24.64 543 596 81.04 63-64 42 311 1 798 42.51 11.83 41 412 23.03 500 408 84.53 64-65 40 513 1 859 45.89 11.33 39 583 21.29 458 996 88.26 65-66 38 654 1 914 49.50 10.85 37 697 19.70 419 413 92.17 66-67 36 740 1 967 53.54 10.39 ■ 35 757 18.18 381 716 96.25 67-68 34 773 2 009 57.79 9.95 33 768 16.81 345 959 100.50 68-69 32 764 2 025 61.79 9.53 31 751 15.68 312 191 104.93 69-70 30 739 2 012 65.47 9.12 29 733 14.78 280 440 109.65 70-71 28 727 1 995 69.44 8.73 27 729 13.90 250 707 114.55 71-72 26 732 1 967 73.58 8.34 25 749 13.09 222 978 119.90 72-73 24 765 1 930 77.94 7.96 23 800 12.33 197 229 125.63 73-74 22 835 1 892 82.85 7.59 21 889 11.57 173 429 131.75 74-75 20 943 1 853 88.49 7.24 20 016 10.80 151 540 138.12 75-76 19 090 1 807 94.66 6.89 18 186 10.06 131 524 145.14 76-77 17 283 1 757 101.65 6.56 16 404 9.34 113 338 152.44 77-78 15 526 1 696 109.22 6.24 14 678 8.65 96 934 160.26 78-79 13 830 1 615 116.82 5.95 13 022 8.06 82 256 168.07 79-80 12 215 1 518 124.25 5.67 11 456 7.55 69 234 176.37 80-81 10 697 1 417 132.46 5.40 9 989 7.05 57 778 185.19 81-82 9 280 1 313 141.54 5.15 8 623 6.57 47 789 194.17 82-83 7 967 1 200 150.57 4.92 7 367 6.14 39 166 203.25 83-84 6 767 1 076 159.04 4.70 6 229 5.79 31 799 212.77 84-85 5 691 951 167.02 4.49 5 216 5.49 25 570 222.72 85-86 4 740 829 174.86 4.29 4 326 5.22 20 354 233.10 86-87 3 911 716 183.28 4.10 3 553 4.96 16 028 243.90 87-88 3 195 617 192.88 3.91 2 886 4.68 12 475 255.75 88-89 2 578 523 203.10 3.72 2 317 4.42 9 589 268.82 89-90 2 055 440 213.94 3.54 1 835 4.17 7 272 282.49 90-91 1 615 364 225.35 3.37 1 433 3.94 5 437 296.74 91-92 1 251 297 237.28 3.20 1 103 3.71 4 004 312.50 92-93 954 238 249.72 3.04 835 3.50 2 901 328.95 93-94 716 188 262.74 2.89 622 3.31 2 066 346.02 94-95 528 146 276.42 2.74 455 3.12 1 444 364.96 95-96 382 111 290.97 2.59 326 2.94 989 386.10 96-97 271 83 306.72 2.45 229 2.76 663 408.16 97-98 188 61 323.54 2.32 157 2.59 434 431.03 98-99 127 43 341.42 2.18 105 2.43 277 458.72 99-100 84 31 360.45 2.06 69 2.27 172 485.44 100-101 53 20 380.74 1.93 43 2.13 103 518.13 101-102 33 13 402.38 1.82 26 1.99 60 549.45 102-103 20 9 425.50 1.70 16 1.85 34 588.24 103-104 11 5 450.23 1.59 9 1.72 18 628.93 104-105 6 3 476.73 1.49 5 1.60 9 671.14 105-106 3 1 505.17 1.38 2 1.48 4 724.64 106-107 2 1 535.76 1.28 1 1.37 2 781.25 107-108 1 1 568.75 1.19 ' 1.26 1 840.34 192 UNITED STATES LIFE TABLES. TABLE 71 LIFE TABLE FOR MALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (648,298), AND ON THE Note. — An explanation of each column of the life tables is given on pages 25 to 29, and AGE INTERVAL. Of 100,000 Males Born Alive : Rate of Mortality PER Thousand. Complete Expectation of Life. STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rales in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION in cur- rent AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. x to z+1 lx d x 1000g x «i L* \t x jd x % 1000l x fT x 1 2 3 4 5 6 7 8 9 INFA NT MORTALI TY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly rate. In years. Per month. Annual rate. ! LIF E TABLE FO R WHOLE RA TCE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 100 000 84 973 81 022 79 191 77 939 76 994 76 286 75 757 75 357 75 044 74 786 74 553 74 326 74 090 73 836 73 563 73 261 72 920 72 536 72 111 71 648 71 148 70 613 70 052 69 474 68 886 68 289 67 681 67 065 66 439 65 803 65 157 64 501 63 831 63 139 62 419 61 673 60 898 60 101 59 290 58 473 57 647 . 56 813 55 964 55 084 15 027 3 951 1 831 1 252 945 708 529 400 313 258 233 227 236 254 273 302 341 384 425 463 500 535 561 578 588 597 608 616 626 636 646 656 670 692 720 746 775 797 811 817 826 834 849 880 922 Annual rate. 150.27 46.50 22.59 15.81 12.13 9.19 6.94 5.28 4.15 3.45 3.11 3.05 3.18 3.42 3.70 4.11 4.65 5.26 5.86 6.42 6.98 7.52 7.95 8.24 8.46 8.68 8.90 9.11 9.33 9.57 9.82 10.06 10.39 10.85 11.39 11.95 12.57 13.10 13.49 13.79 14.13 14.46 14.95 15.73 16.73 In years. 42.51 48.97 50.34 50.50 50.30 49.91 49.37 48.71 47.97 47.16 46.33 45.47 44.61 43.75 42.90 42.05 41.22 40.41 39.63 38.86 38.10 37.37 36.65 35.94 35.23 34.53 33.83 33.13 32.43 31.73 31.03 30.33 29.63 28.94 28.25 27.57 26.90 26.23 25.58 21 .92 24.26 23.60 22.94 22.28 21.63 89 181 82 642 80 052 78 540 77 448 76 640 76 022 75 557 75 201 74 915 74 669 74 439 74 208 73 963 73 700 73 412 73 090 72 728 72 324 71 879 71 398 70 881 ' 70 332 69 763 69 180 68 588 67 985 67 373 66 752 66 121 65 480 64 829 64 166 63 485 62 779 62 046 61 286 60 500 59 695 58 882 58 060 57 230 56 388 55 524 54 623 Per year. 5.93 20.92 43.72 62.73 81.96 108.25 143.71 188.89 240.26 290.37 3L0.47 327.93 314.44 291.19 269.96 243.09 214.34 189.40 170.17 155.25 142.80 132.49 125.37 120.70 117.65 114.89 111.82 109.37 106.63 103.96 101.36 98.82 95.77 91.74 87.19 83.17 79.08 75.91 73.61 72.07 70.29 68.62 66.42 63.10 59.24 4 250 702 4 161 521 4 078 879 3 998 827 3 920 287 3 842 839 3 766 199 3 690 177 3 614 620 3 539 419 3 464 504 3 389 835 3 315 396 3 241 188 3 167 225 3 093 525 3 020 113 2 947 023 2 874 295 2 801 971 2 730 092 2 658 694 2 587 813 2 517 481 2 447 718 2 378 538 2 309 950 2 241 965 2 174 592 2 107 840 2 041 719 1 976 239 1 911 410 1 847 244 1 783 759 1 720 980 1 658 934 1 597 648 1 537 148 1 477 453 1 418 571 1 360 511 1 303 281 1 246 893 1 191 369 Annual rate. 23.52 20.42 19.86 19.80 19.88 20.04 20.26 20.53 20.85 21.20 21.58 21.99 22.42 22.86 23.31 23.78 24.26 24.75 25.23 25.73 26.25 26.76 27.29 27.82 28.38 28.96 29.56 30.18 30.84 31.52 32.23 32.97 33.75 34.55 35.40 36.27 37.17 38.12 39.09 40.13 41.22 42.37 43.59 44.88 46.23 UNITED STATES LIFE TABLES. 193 CITY OF PHILADELPHIA: 1901. REPORTED DEATHS IN 1900 (14,139), IN 1901 (12,200), AND IN 1902 (12,297). illustrative examples, showing how to use the tables, are given on pages 29 to 49. TABLE 71 STATIONARY MALE POPULATION, Rate op Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Males Born Alive: Mortality PER would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER DEATH RATE PER THOUSAND. INTERVAL. AGE INTERVALS. Period of lifetime between two exact ages. Number alive at beginning of age interval. Number dying in age interval. Number dying in age interval among 1,000 alive at begin- ning of age interval. Average length of life remaining to each one alive at beginning of age interval. Including only those in current month or year of age. Population per death in age interval. Sum of numbers in column 6 in cur- rent and all older age intervals. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. X to z+1 lx d x 1000^ lx Lx IjxI^x Tx IOOOZ^Tjc 1 2 3 i 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual ratft. 45-46 54 162 965 17.81 20.99 53 680 55.63 1 136 746 47.64 46-47 53 197 1 014. 19.07 20.36 52 690 51.96 1 083 066 49.12 47-48 52 183 1 057 20.24 19.75 51 655 48.87 1 030 376 50.63 48-49 51 126 1 078 21.08 19.14 50 587 46.93 978 721 52.25 49-50 50 048 1 084 21.67 18.54 49 506 45.67 928 134 53.94 50-51 48 964 1 094 22.33 17.94 48 417 44.26 878 628 55.74 51-52 47 870 1 098 22.95 17.34 47 321 43.10 830 211 57.67 52-53 46 772 1 115 23.84 16.74 46 214 41.45 782 890 59.74 53-54 45 657 1 154 25.26 16.14 45 080 39.06 736 676 61.96 54-55 44 503 1 210 27.21 15.54 43 898 36.28 691 596 64.35 55-56 43 293 1 271 29.35 14.96 42 657 33.56 647 698 66.84 56-57 42 022 1 340 31.89 14.40 41 352 30.86 605 041 69.44 57-58 40 682 1 401 34.45 13.86 39 981 28.54 563 689 72.15 58-59 39 281 1 435 36.53 13.33 38 563 26.87 523 708 75.02 59-60 37 846 1 445 38.18 12.82 37 123 25.69 485 145 78.00 60-61 36 401 1 455 39.96 12.31 35 673 24.52 448 022 81.23 61-62 34 946 1 456 41.67 11.80 34 218 23.50 412 349 84.75 62-63 33 490 1 468 43.83 11.29 32 756 22.31 378 131 88.57 63-64 32 022 1 506 47.03 10.79 31 269 20.76 345 375 92.68 64-65 30 516 1 564 51.26 10.29 29 734 19.01 314 106 97.18 65-66 28 952 1 618 55.89 9.82 28 143 17.39 284 372 101.83 66-67 27 334 1 656 60.59 9.37 26 506 16.01 256 229 106.72 67-68 25 678 1 668 64.97 8.95 24 844 14.89 229 723 111.73 68-69 24 010 1 664 69.28 8.53 23 178 13.93 204 879 117.23 69-70 22 346 1 643 73.54 8.13 21 525 13.10 181 701 123.00 70-71 20 703 1 612 77.85 7.74 19 897 12.34 160 176 129.20 71-72 19 091 1 574 82.44 7.35 18 304 11.63 140 279 136.05 72-73 17 517 1 533 87.55 6.96 16 750 10.93 121 975 143.68 73-74 15 984 1 494 93.42 6.58 15 237 10.20 105 225 151.98 74-75 14 490 1 453 100.29 6.21 13 764 9.47 89 988 161.03 75-76 13 037 1 412 108.35 5.85 12 331 8.73 76 224 170.94 76-77 11 625 1 369 117.70 5.50 10 940 7.99 63 893 181.82 77-78 10 256 1 316 128.37 5.16 9 598 7.29 52 953 193.80 78-79 8 940 1 254 140.22 4.85 8 313 6.63 43 355 206.19 79-80 7 686 ,, 1 176 153.04 4.56 7 098 6.04 35 042 219.30 80-81 6 510 1 084 166.45 4.29 5 968 5.51 27 944 233.10 81-82 5 426 977 180.08 4.05 4 938 5.05 21 976 246.91 82-83 4 449 861 193.58 3.83 4 019 4.67 17 038 261.10 83-84 3 588 742 206.75 3.63 3 217 4.34 13 019 275.48 84-85 2 846 625 219.51 3.44 2 534 4.06 9 802 290.70 85-86 2 221 515 231.99 3.27 1 964 3.81 7 268 305.81 86-87 1 706 417 244.44 3.11 1 498 3.59 5 304 321.54 87-88 1 289 332 257.20 2.95 1 123 3.39 3 806 338.98 88-89 957 259 270.58 2.80 828 3.20 2 683 357.14 89-90 698 199 284.82 2.66 599 3.01 1 855 375.94 90-91 499 149 300.02 2.52 425 2.83 1 256 396.83 91-92 350 111 316.20 2.38 294 2.66 831 420.17 92-93 239 80 333.30 2.25 199 2.50 537 444.44 93-94 159 56 351.28 2.13 131 2.35 338 469.48 94-95 103 38 370.11 2.01 84 2.20 207 497.51 95-96 65 25 389.83 1.90 52 2.07 123 526.32 96-97 40 17 410.48 1.79 32 1.94 71 558.66 97-98 23 10 432.10 1.68 18 1.81 39 595.24 98-99 13 6 454.74 1.59 10 1.70 21 628.93 99-100 7 3 478.42 1.49 6 1.59 11 671.14 100-101 4 2 503.17 1.40 3 1.49 5 714.29 101-102 2 1 529.04 1.32 1 1.39 2 757.58 102-103 1 1 556.04 1.24 1 1.30 1 806.45 150822°— 21- -13 194 TABLE : Y2 UNITED STATES LIFE TABLES. LIFE TABLE FOR MALES IN THE BASED ON THE ESTIMATED POPULATION JULY 1, 1910 (763,107), AND ON THE Note.— An explanation of each column ol the life tables is given on pages 25 to 29, and AGE INTERVAL Period of lifetime between two exact ages. x to £+1 Of 100,000 Males Born Alive: Number alive at beginning of age interval. h Number dying in age interval Kate op Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. lOOOg-r Complete Expectation of Life. Average length of life remaining to each one alive at beginning of age interval. STATIONARY MALE POPULATION, Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. POPULATION IN CURRENT AGE INTERVAL. Including only those in current month or year of age. Li MEASURE OF VITALITY. POPULATION IN CUR- RENT AND ALL OLDER AGE INTERVALS Population per death in age interval. ~L x /d x Sum of numbers in column 6 in cur- rent and all older age intervals. T* DEATH RATE PER THOUSAND. Average annual death rate per thousand of pop- ulation in cur- rent and all older age intervals. 1000k/Ts INFANT MORTALITY— FIRST YEAR OF LIFE BY AGE INTERVALS OF ONE MONTH. Months. O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Monthly rate. In years. Per month. Annual rate. LIFE TABLE FOR WHOLE RANGE OF LIFE BY AGE INTERVALS OF ONE YEAR. Years. -1 1 -2 2 -3 .1 -4 4 -5 5 -6 6 -7 7 -8 8 -9 9 -10 10 -11 11 -12 12 -13 13 -14 14 -15 15 -16 16 -17 17 -18 IK ■ 19 19 -20 20 ■21 21 22 22 •23 23 24 21 25 25 26 26 27 27 28 2* 29 29- 30 30- 31 31- 32 32- 33 33- 34 34- 35 35- 36 36- 37 37- SH 38- 39 39- (O 40- 11 41- 42 42- 13 43- 44 44- 45 100 000 85 826 82 544 81 056 81) 119 79 442 78 967 78 578 78 260 77 995 77 769 77 568 77 379 77 192 76 995 76 780 76 541 76 272 75 969 75 636 75 272 74 879 74 456 74 009 73 544 73 061 72 569 72 057 71 529 70 986 70 425 «!) 847 69 253 68 634 67 982 67 290 66 561 65 793 61 997 64 186 63 371 62 548 61 719 60 875 59 999 Annual rate. 14 174 141.74 3 282 38.24 1 488 18.03 937 11.56 677 8.46 475 5.98 389 4.92 318 4.06 265 3.39 226 2.90 201 2.58 189 2.43 187 2.43 197 2.55 215 2.79 239 3.12 269 3.52 303 3.96 333 4.39 364 4.80 393 5.22 423 • 5.65 447 6.01 465 6.29 480 6.52 495 6.78 512 7.05 528 7.32 543 7.60 561 7.90 578 8.21 594 8.51 619 8.93 652 9.51 692 10.17 729 10.84 768 11.54 796 12.11 811 12.47 815 12>71 823 12.98 829 13.25 844 13.68 876 14.38 916 15.27 In years. 45.47 89 795 51.93 83 890 52.98 81 756 52.94 80 569 52.56 79 767 52.00 79 204 51.31 78 773 50.56 78 419 49.76 78 127 48.93 77 882 48.07 77 668 47.20 77 474 46.31 77 286 45.42 77 093 44.54 76 888 43.66 76 661 42.79 76 406 41.94 76 120 41.11 75 802 40.29 75 454 39.48 75 076 38.68 74 668 37.90 74 233 37.13 73 777 36.36 73 304 35.59 72 816 34.83 72 313 34.08 71 793 33.32 71 258 32.58 70 705 31.83 70 136 31.09 69 550 30.35 68 944 29.62 68 308 28.90 67 636 28.19 66 926 27.50 66 177 26.81 65 395 26.13 64 591 25.46 63 779 24.78 62 959 24.10 62 134 23.42 61 297 22.73 60 437 22.06 59 541 Per year. 6.34 25.56 54.94 85.99 117.82 166.75 202.50 246.60 294.82 344.61 386.41 409.92 413.29 391.34 357.62 320.76 284.04 251.22 227.63 207.29 191.03 176.52 166.07 158.66 152.72 147.10 141.24 135.97 131.23 126.03 121.34 117.09 111.38 104.77 97.74 91.81 86.17 82.15 79.64 78.26 76.50 74.95 72.63 68.99 65.00 Annual rate 4 546 697 21.99 4 456 902 19.26 4 373 012 18.88 4 291 256 18.89 4 210 687 19.03 4 130 920 19.23 4 051 716 19.49 3 972 943 X9.78 3 894 524 20.10 3 816 397 20.44 3 738 515 20.80 3 660 847 21.19 3 583 373 21.59 3 506 087 22.02 3 428 994 22.45 3 352 106 22.90 3 275 445 23.37 3 199 039 23.84 3 122 919 24.32 3 047 117 24.82 2 971 663 25.33 2 896 587 25.85 2 821 919 26.39 2 747 686 26.93 2 673 909 27.50 2 600 605 28.10 2 527 789 28.71 2 455 476 29.34 2 383 683 30.01 2 312 425 30.69 2 241 720 31.42 2 171 584 32.16 2 102 034 32.95 2 033 090 33.76 1 964 782 34.60 1 897 146 35.47 1 830 220 36.36 1 764 043 37.30 1 698 648 38.27 1 634 057 39.28 1 570 278 40.36 1 507 319 41.49 1 445 185 42.70 1 383 888 43.99 1 323 451 45.33 UNITED STATES LIFE TABLES. 195 CITY OF PHILADELPHIA: 1910. REPORTED DEATHS IN 1909 (12,976), IN 1910 (14,255), AND IN 1911 (13,895). illustrative examples, showing how to use the tables, are given on pages 29 to 49. TABLE 72 STATIONARY MALE POPULATION, Rate of Complete Expectation of Life. Unaffected by Emigration and Immigration, which, Assuming the Mortality Rates in Column 4, AGE INTERVAL. Of 100,000 Males Born Alive: Mortality per would result if 100,000 Males were Born Alive Uniformly Throughout Each Year. Thousand. POPULATION IN CURRENT AGE INTERVAL. MEASURE OF VITALITY. POPULATION IN CUE- RENT AND ALL OLDER AGE INTERVALS. DEATH RATE PER THOUSAND. Period of lifetime Number alive at beginning of age interval. Number dying Number dying in age interval among 1,000 Average length of life remaining to each one alive at beginning of age interval. Including only those in current Population per death in age interval. • Sum of numbers in column 6 in cur- Average annual death rate per thousand of pop- between two exact ages. in age interval. alive at begin. ning of age interval. month or year of age. rent and all older age intervals. ulation in cur- rent and all older age intervals. x to x-\-\ ^x d x 1000^ «x i* W4r T* IOOOZJTj 1 2 3 4 5 6 7 8 9 LIFE TABLE FOR WHOLE RANGF OF LIFE BY AGE INTERVALS OF ONE YEAR— Continued. Years. Annual rate. In years. Per year. Annual rate. 45-46 59 083 957 16.20 21.39 58 604 61.24 1 263 910 46.75 46-47 58 126 1 001 17.21 20.74 57 626 57.57 1 205 306 48.22 47-48 57 125 1 039 18.20 20.09 56 606 54.48 1 147 680 49.78 48-49 56 086 1 069 19.06 19.45 55 551 51.97 1 091 074 51.41 49-50 55 017 1 092 19.85 18.82 54 471 49.88 1 035 523 53.13 50-51 53 925 1 117 20.71 18.19 53 366 47.78 981 052 54.98 51-52 52 808 1 140 21.59 17.57 52 238 45.82 927 686 56.92 52-53 51 668 1 171 22.67 16.94 51 082 43.62 875 448 59.03 53-54 50 497 1 221 24.18 16.33 49 886 40.86 824 366 61.24 54-55 49 276 1 289 26.16 15.72 48 631 37.73 774 480 63.61 55-56 47 987 1 365 28.45 15.13 47 304 34.65 725 849 66.09 66-57 46 622 1 460 31.30 14.55 45 892 31.43 678 545 68.73 57-58 45 162 1 547 34.25 14.01 44 389 28.69 632 653 71.38 58-59 43 615 1 597 36.63 13.49 42 817 26.81 588 264 74.13 59-60 42 018 1 614 38.40 12.98 41 211 25.53 545 447 77.04 60-61 40 404 1 628 40.30 12.48 39 590 24.32 504 236 80.13 61-62 38 776 1 631 42.05 11.98 37 961 23.27 464 646 83.47 62-63 37 145 1 643 44.24 11.49 36 324 22.11 426 685 87.03 63-64 35 502 1 685 47.46 11.00 34 659 20.57 390 361 90.91 64-65 33 817 1 747 v 51.66 10.52 32 943 18.86 355 702 95.06 65-66 32 070 1 797 56.05 10.06 31 171 17.35 322 759 99.40 66-67 30 273 1 844 60.91 9.63 29 351 15.92 291 588 103.84 67-68 28 429 1 867 65.68 9.22 27 495 14.73 262 237 108.46 68-69 26 562 1 852 69.70 8.84 25 636 13.84 234 742 113.12 69-70 24 710 1 807 73.14 8.46 23 807 13.17 209 106 118.20 70-71 22 903 1 762 76.92 8.09 22 022 12.50 185 299 123.61 71-72 21 141 1 708 80.83 7.72 20 287 11.88 163 277 129.53 72-73 19 433 1 657 85.25 7.36 18 604 11.23 142 990 135.87 73-74 17 776 1 612 90.69 7.00 16 970 10.53 124 386 142.86 74-75 16 164 1 571 97.18 6.65 15 378 9.79 107 416 150.38 75-76 14 593 1 522 104.27 6.31 13 832 9.09 92 038 158.48 76-77 13 071 1 469 112.40 5.98 12 337 8.40 78 206 167.22 77-78 11 602 1 402 120.84 5.68 10 901 7.78 65 869 176.06 78-79 10 200 1 312 128.62 5.39 9 544 7.27 54 968 185.53 79-80 8 888 1 206 135.73 5.11 8 285 6.87 45 424 195.69 80-81 7 682 1 103 143.54 4.83 7 131 6.47 37 139 207.04 81-82 6 579 1 003 152.53 4.56 6 078 6.06 30 008 219.30 82-83 5 576 910 163.14 4.29 5 121 5.63 23 930 233.10 83-84 4 666 817 175.16 4.03 4 257 5.21 18 809 248.14 84-85 3 849 726 188.62 3.78 3 486 4.80 14 552 264.55 85-86 3 123 635 203.41 3.54 2 805 4.42 11 066 282.49 86-87 2 488 546 219.28 3.32 2 215 4.06 8 261 301.20 87-88 1 942 458 235.97 3.11 1 713 3.74 6 046 321.54 88-89 1 484 376 253.24 2.92 1 296 3.45 4 333 342.47 89-90 1 108 300 270.95 2.74 958 3.19 3 037 364.96 90-91 808 234 289.09 2.57 691 2.96 2 079 389.11 91-92 574 176 307.78 2.42 486 2.75 1 388 413.22 92-93 398 131 327.19 2.27 333 2.56 902 440.53 93-94 267 92 347.49 2.13 221 2.38 569 469.48 94-95 175 65 368.81 2.00 142 2.21 348 500.00 95-96 110 43 391.23 1.87 89 2.06 206 534.76 96-97 67 28 414.76 1.75 53 1.91 117 571.43 97-98 39 17 439.31 1.64 31 1.78 64 609.76 98-99 22 10 465.03 1.54 17 1.65 33 649.35 99-100 12 6 491.84 1.44 9 1.53 16 694.44 100-101 6 3 519.73 1.34 4 1.42 7 746.27 101-102 3 2 548.70 1.25 2 1.32 3 800.00 102-103 1 1 578.72 1.17 1 1.23 1 854.70 196 UNITED STATES LIFE TABLES. TABLE 73 LIFE TABLE FOR FEMALES IN BASED ON THE ESTIMATED POPULATION JULY 1, 1901 (673,408), AND ON THE Note.— An explanation of each column of the life tables is given on pages 25 to 29, and AGE INTERVAL. Period of lifetime between two exact ages. X to x-\-l Of 100,000 Females Born Alive: Number alive at beginning of age interval. Number dyine in age interval dx Rate of Mortality per Thousand. Number dying in age interval among 1,000 alive at begin- ning of age interval. 1000 MALES 50 13.95 11.87 16.57 17.01 16.93 11.77 42.80 13.45 17.75 11.11 11.24 17.88 15.28 SI 14.63 12.66 17.66 17.73 18.09 12.46 44.00 14.32 18.87 11.67 12.13 19.16 15.85 52 15.38 13.57 18.85 18.48 19.30 13.29 45.40 15.21 20.09 12.29 12.75 20.50 16.83 53 16.22 14.61 20.16 19.31 20.54 14.38 46.80 16.05 21.41 12.88 13.46 21.91 18.18 54 17.14 15.83 21.56 20.32 21.95 15.61 48.30 16.85 22.88 13.50 14.45 23.35 19.66 55 18.16 17.07 23.08 21.53 23.57 16.86 49.90 17.73 24.48 14.16 15.26 24.85 21.38 56 19.34 18.44 24.72 22.99 25.12 18.07 51.50 18.83 26.24 14.89 15.69 26.49 23.18 57 20.71 19.78 26.49 24.72 26.62 19.44 53.40 20.28 28.16 15.71 16.64 28.40 24.83 58 22.29 21.41 28.39 26.61 28.37 20.90 55.40 22.11 30.27 16.67 17.89 30.62 26.37 59 24.00 22.74 30.44 28.64 30.39 22.47 57.50 24.25 32.56 17.81 19.38 32.99 28.09 60 25.84 23.89 32.62 30.84 32.60 24.29 59.80 26.62 35.06 19.14 20.66 35.43 29.90 61 27.88 25.57 34.96 33.16 35.11 25.93 62.40 29.17 37.78 20.66 22.89 37.88 31.93 62 30.12 27.46 37.45 35.64 37.87 28.26 65.30 31.84 40.74 22.40 23.13 40.52 34.32 63 32.57 29.48 40.03 38.28 40.83 31.20 68.30 34.44 43.97 24.34 26.22 43.44 37.04 64 35.37 31.55 42.69 41.14 43.91 33.95 71.70 37.01 47.46 26.47 27.87 46.75 39.88 65 38.59 34.03 45.57 44.30 47.06 37.20 75.50 39.83 61. 21 28.80 30.04 50.42 42.92 66 42.30 37.04 48.80 47.93 50.73 40.73 79.80 43.19 55.22 31.27 32.21 54.46 46.05 67 46.44 40.44 52.53 52.04 55.13 44.05 84.30 47.38 59.52 33.85 36.54 58.82 49.22 68 51.06 44.14 56.85 56.76 59.67 47.91 89.50 52.43 64.14 36.58 38.69 63.54 52.53 69 56.11 48.46 61.72 62.20 64.20 52.51 95.50 58.15 69.10 39.51 41.96 68.57 56.11 70 61.62 53.63 67.08 68.32 69.36 57.43 101.70 64.49 74.45 42.76 46.40 73.93 59.90 71 67.60 58.19 72.87 75.05 75.60 62.11 109. 10 71.38 80.22 46.46 50.54 79.58 64.31 72 74.15 62.37 79.02 82.28 82.63 67.95 117.30 78.78 86.40 50.71 55.49 85.73 69.63 73 81.22 67.48 85.66 89.69 89.91 74.97 126.30 86.35 92.96 55.57 60.56 9.1.47 75.79 74 88.62 73.67 92.90 99.08 97.71 81.81 136. 60 94.13 99.84 60.97 67.43 100.16 82.54 75 96.10 80.79 100.62 108.70 106.40 89.21 148.00 102. 62 107.50 66.91 74.60 108. 89 90.15 76 103.69 89.22 108. 67 119.40 115.35 97.54 160.90 112.31 115.80 73.38 811. 03 118.91 98.03 77 111.58 99.60 116.88 131.00 124.63 106. 10 174.80 123.69 124. 70 80.48 89.86 130.00 105.76 78 119.88 110. 13 125. 00 143.90 135.09 114.50 191.40 137.38 134.30 88.26 10J.02 142.01 113.64 79 128.68 120. 22 133.12 156. 60 146.19 125.40 209.20 153.05 144.70 96.89 109.43 154.33 122.81 80 137.95 131.97 141.63 167.80 157. 87 137.00 228.70 169. 78 155.80 106.34 120. 81 166.92 133.66 81 147. 74 144.32 150.95 177. 60 170. 82 148. 10 251.30 186.64 167.80 116.61 130.97 179.37 145.39 82 158. 76 156.49 161.58 188.90 184. 77 159. 80 275.20 202. 71 180. 70 127.55 146.57 192.02 156.97 83 170.91 170.00 173.92 202.30 199.62 173.50 300. 90 218.56 194.60 139.11 159.08 204.55 169.30 84 183.66 181.95 187. 87 •218.20 215.41 188.30 331.10 234.71 209.60 151.27 176.99 217.86 182.08 85 197.01 191.64 203.15 230.50 231.60 204.00 366.30 251.60 225.80 164.09 192.27 232. 16 195.04 86 210.92 202.22 219.44 239.20 248.05 217.00 398.40 269.62 243.20 177.47 210. 76 248.87 208.05 .87 225. 73 224.32 236.32 248.00 265.12 229.00 428. 60 289. 10 261.90 191.23 225.22 267. 12 221.09 88 241.82 257.39 254.59 257.20 283.07 244.00 477.30 310.32 282. 10 205.42 244.96 286.27 234.23 89 259.07 281. 58 274. 75 266.90 301. 51 260.00 521. 70 333. 49 303.80 220.14 269.07 303.04 247.63 90 277.36 290.48 295.66 276.80 320.02 290.00 545.50 358. 74 327. 20 235.78 286.99 317.20 261.48 91 296. 60 315.91 287. 70 338. 74 350. 00 600.00 386. 18 352.40 252.33 304.41 329. 24 275.88 92 316. 72 333. 81 299.50 357.67 410.00 500.00 415.82 379. 50 270. 46 325. 43 344.21 290.92 306.60 322.91 339.81 357.34 375.58 394. 71 93 337.57 348. 60 312. 20 376.61 470.00 1000.00 447.65 408. 70 290. 03 340. 11 364.63 94 359. 07 360.31 326. 10 395. 43 530. 00 481.56 440. 20 309. 61 369. 10 392. 39 425.31 95 381. 11 369. 66 341. 50 413.99 600.00 517.41 474.00 329.32 398. 02 96 403.60 378.06 358.20 432. 13 700.00 554.99 510.60 349.30 416.98 463.23 506. 15 97 426.41 387.50 376.80 449. 67 800.00 594.01 549.80 371.00 419. 11 98 449. 46 400.59 400.00 466.41 900.00 634.16 592.20 395.00 428. 93 555.88 99 480.02 420.31 425.00 482. 16 1000.00 675.03 637.80 419.00 480.71 612.53 675.97 414.95 436.52 100 525.36 449.69 460.00 496.68 686.90 458.00 495.00 * lOOOga; is copied in each case to the nearest second decimal. When only the first decimal was given a cipher was added. t Whites in the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey Indiana, Michigan, and the District of Columbia. ' 206 Table 76 UNITED STATES LIFE TABLES. FOREIGN COUNTRIES. FEMALES. ANNUAL TAKEN FROM THE PUBLISHED LIFE TABLES OF VARIOUS COUNTRIES, BASED ON THEIR OFFICIAL MAY BE MADE Age. Australia: 1901-1910 Denmark: 1906-1910 England: 1901-1910 * Feance: 1898-1903 Germany: 1901-1910 Holland: 1900-1909 India: 1901-1910 * Italy: 1901-1910 Japan: 1898-1903 Norway: 1901-1910 Sweden: 1901-1910 Switzer- land: .1901-1910 United States: 1901-1910 t 1 2 3 4 5 6 7 8 9 10 11 12 13 14 FEM ALES. RATE OF MORTALITY PEE THOUSAND, lOOO^. 79.53 97.71 117.43 136. 49 170. 48 117. 69 284. 60 152. 11 140. 92 66. 79 75.98 112. 58 105. 51 1 16.65 15.99 37.64 31.66 38.47 34.22 86.20 71 36 35. 98 16.76 21.21 21.61 27.43 2 6.29 6.29 15.26 17.54 14.63 15.71 61.60 31.85 26.02 9.03 10.32 9.45 12.61 3 4.11 4.41 10.05 11.57 9.25 8.20 45.10 17.89 17.32 6.18 7.58 6.25 8.28 s 4 3.24 3.19 7.48 8.67 6.84 5.95 33.70 12.43 11.68 4.91 6.14 4.82 6.10 5 2.58 2.57 5.53 6.49 5.31 4.63 26.20 8.50 8.10 4.28 5.16 4.06 5.00 6 2.14 2.34 4.12 5.26 4.38 3.76 21.20 5.83 5.96 3.83 4.36 3.20 4.16 7 1.91 2.23 3.13 4.45 3.73 3.16 17.80 4.14 4.81 3.50 3.79 2.94 3.47 8 1.75 2.15 2.50 3.88 3.19 2.74 15.40 3.22 4.22 3.29 3.66 2.67 2.94 9 1.63 2.10 2.14 3.50 2.80 2.46 14.00 2.87 3.91 3.18 3.31 2.44 2.57 10 1.59 2.08 1.99 3.28 2.56 2.28 12.90 2.90 3.77 3.19 3.25 2.26 2.36 11 1.63 2.11 1.98 3.23 2.42 2.22 12.40 3.19 3.85 3.29 3.16 2.24 2.29 12 1.75 2.21 2.07 3.34 2.41 2.28 12.30 3.60 4.21 3.53 3.20 2.40 2.34 13 1.84 2.31 2.22 3.63 2.54 2.45 12.40 4.06 4.81 3.83 3.56 2.75 2.51 14 2.00 2.55 2.40 4.03 2.75 2.79 12.80 4.50 5.56 4.19 3.82 3.24 2. 7« 15 2.19 2.91 2.58 4.47 3.02 3.21 13.40 4.89 6.38 4.58 4.19 3.81 3.09 16 2.44 3.18 2.74 1.89 3.34 3.52 14.10 5.22 7.24 4.96 4.61 4.35 3.45 17 2.69 3.36 2.89 5.27 3.61 3.61 14.80 5.53 8.06 5.33 4.84 4.79 3.80 18 2.90 3.52 3.02 5.62 3.81 3.60 15. 60 5.86 8.76 5.64 5.00 5.08 4.15 19 3.10 3.67 3.14 5.95 4.01 3.66 16. 30 6.18 9.29 5.91 5.05 5.26 4.51 20 3.29 3.78 3.25 6.27 4.22 3.84 17.00 6.48 9.64 6.13 5.26 5.40 4.90 21 3.49 3.88 3.37 6.54 4.44 4.05 17.60 6.74 9.85 6.31 5.53 5.56 5.21 22 3.70 4.00 3.49 6.80 4.70 4.16 18.20 6.96 9.94 6.44 5.68 5.73 5.43 23 3.88 4.15 3.61 7.03 4.98 4.22 18.80 7.12 9.96 6.54 5.61 5.91 5.59 24 4.09 4.31 3.73 7.22 5.21 4.31 19.40 7.24 9.95 6.61 5.70 6.06 5.75 25 4.30 4.44 3.86 7.35 5.37 4.48 20.00 7.33 9.92 6.66 5.96 6.18 5.91 26 4.48 4.55 4.00 7.42 5.50 4.68 20.60 7.39 9.90 6.71 6.06 6.27 6.07 27 4.69 4.69 4.17 7.42 5.64 4.79 21.20 7.46 9.90 6.75 5.96 6.36 6.25 28 4.89 4.77 4.37 7.45 5.78 4.88 21.80 7.52 9.90 6.79 5.95 6.45 6.45 29 5.03 4.83 4.60 7.52 5.87 5.01 22.40 7.55 9.93 6.85 6.01 6.54 6.65 30 5.19 4.87 4.84 7.59 5.97 5.17 23.10 7.58 9.98 6.93 6.12 6.63 6.87 31 5.40 4.97 5.10 7.68 6.11 5.36 23.70 7.61 10.06 7.03 6.01 6.74 7.07 32 5.58 5.10 5.36 7.78 6.28 5.58 24.40 7.66 10.17 7.14 v 6.01 6.84 7.26 33 5.79 5.19 5.62 7.92 6.45 5.75 25.10 7.73 10.31 7.26 6.18 6.96 7.43 34 5.99 5.35 5.89 8.06 6.65 5.84 25.80 7.81 10.48 7.37 6.36 7.08 7.60 / 35 36 6.17 5.50 6.17 8.20 6.86 5.97 26.60 7.89 10.67 7.43 6.50 7.22 7.77 6.38 5.58 6.46 8.32 7.01 6.20 27.40 7.99 10.87 7.48 6.52 7.38 7.93 37 6.59 5.70 6. 76 8.45 7.15 6.40 28.20 8.10 11.05 7.53 6.73 7.58 8.07 38 6.77 5.84 7.06 8.56 7.35 6.62 29.10 8.23 11.21 7.58 6.86 7.80 8.22 39 6.98 6.01 7.36 8.65 7.55 6.87 30.00 8.38 11.32 7.65 6.87 8.03 8.38 40 7.18 6.23 7.66 8.79 7.71 7.10N 30.80 8. 54 11.38 7.73 7.00 8.22 8.64 41 7.36 6.47 8.00 8.96 7.88 7.21 31.70 8.68 11.39 7.81 7.15 8.35 8.76 42 7.57 6.69 8.38 9.18 8.01 7.31 32. 60 8.80 11.38 7.88 7.22 8.44 9.05 43 7.73 6.92 8.79 9.44 8.09 7.39 33.50 8.84 11.35 7.92 7.27 8.54 9.41 44 7.87 7.19 9.23 9.71 8.24 7.43 34.40 8.82 11.38 7.97 7.50 8.74 9.81 45 8.07 7.34 9.70 10.03 8.54 7.64 35.30 8.80 11. 49 8.06 7.68 9.07 10.27 46 8.25 7.48 10.22 10.39 8.90 8.07 36.30 8.87 11.71 8.20 7.73 9.56 j 10. 7>> 47 8.51 7.73 10.78 10.79 9.33 8.33 37.20 9.10 12.04 8.42 8.44 10.18 11. 24 48 8.80 8.01 11.38 11.27 9.90 8.55 38.30 9.50 12.51 8.71 8.40 10.88 11.71 49 9.15 8.35 11. 99 11.83 10.54 9.28 39.40 10.03 13.10 9.07 8.95 11.59 12. 24 * lOOOgz is copied in each case to the nearest second decimal. When only the first decimal was given a cipher was added. t Whites in the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, and the District of Columbia. FOREIGN COUNTRIES. RATE OF MORTALITY PER THOUSAND. 207 Table 76 POPULATION AND DEATH STATISTICS, AND EXHIBITED HERE IN TABULAR FORM SO THAT A COMPARISON AT EACH AGE. Age. Australia: 1901-1910 Denmark: 1906-1910 England: 1901-1910 * France: 1898-1903 Germany: 1901-1910 Holland: 1900-1909 India: 1901-1910 Italy: 1901-1910 Japan: 1898-1903 Norway- 1901-1910 Sweden: 1901-1910 Switzer- land: 1901-1910 United States: 1901-1910 t 1 2 3 i 5 6 7 8 9 10 11 12 13 14 KATE OF MORTALITY PER THOUSAND, lOOOgr-,;. FEMALES. 50 9.56 8.97 12.67 12. 44 11.26 10.09 40.60 10. 66 13.80 9.46 9.11 12.34 12.78 51 9.99 9.63 13.44 13.10 12.18 10.71 41.80 11.37 14.58 9.88 9.56 13.13 13. 45 52 10.54 10.23 14.36 13.80 13.17 11.29 43.10 12.13 15.44 10.32 9.83 14.05 14.34 53 11.17 10.88 15.43 14.56 14.08 11.97 44.40 12.87 16.37 10.83 10.54 15.06 15.44 54 11.92 11.50 16.65 15.37 15.00 12.59 45.80 13.60 17.39 11.36 11.46 16.23 16.67 55 12.77 11.87 17.98 16.32 16.19 13.37 47.40 14.44 18.52 11.94 11.96 17.53 18.08 56 13.70 12.48 19.39 17.44 17.64 14.61 49.10 15.52 19.77 12.61 12.59 19.08 19.58 57 14.76 13.45 20.84 18.80 19.21 15.94 50.90 16.95 21.18 13.33 13.37 20.82 21.03 58 16.06 14.51 22.30 20.48 20.88 17.09 53.00 18.77 22.77 14.12 14.46 22.76 22.42 59 17.53 15.80 23.80 22.36 22.68 18. (iS 55.20 20.88 24.53 15. 05 15. 21 24.80 23.91 60 19.20 17.44 25.39 24.36 24.73 20. 75 57.80 23.26 26.50 16.11 16.60 27.01 25.53 61 21.01 19.18 27.11 26.48 27.24 22.83 60.60 25.87 28.69 17.35 17.84 29.52 27.33 62 22.97 21.02 29.03 28.78 30.11 24.86 63.50 28.67 31.10 18.78 19.06 32.45 29.49 63 25.12 23. 11 31.02 31.18 33.11 27.12 66.80 31.50 33.76 20.39 20.98 35.79 31.97 64 27.45 25.52 33.06 33.79 36.25 29.70 70.40 34.37 36.68 22.17 22.85 39.44 34.57 65 29.98 28.20 35.34 36.64 39.60 32.36 74.40 37.54 39.87 24.12 24.92 43.27 37.33 66 32.72 30.99 38.04 39.79 43.24 35.46 78.80 41.28 43.37 26.24 27.14 47.28 40.28 67 35.77 34.32 41.41 43.61 47. 40 39.13 83.60 45.82 47.17 28.57 29.95 51. 54 43.43 68 39.16 37.99 45.66 48.01 52.00 43.27 88.90 51.23 51.30 31.12 32.97 56.27 46.84 69 43.14 41.68 50.75 52.97 56.78 47.59 94.80 57.34 55.81 33.94 36.17 61.48 50.59 70 47.77 46.18 56.43 58.50 62.06 51.74 101.20 64.07 60.72 37.13 40.32 07.14 54.72 71 53.04 50.86 62.42 64.63 68.39 56.58 108.20 71.32 66.05 40.74 43.40 73.20 59.23 72 58.87 54.83 68.39 71.32 75. 31 62.62 116. 30 79.02 71.83 44.88 49.84 79.80 64.09 73 65.02 59.48 74.26 78.44 82.13 69. 26 125.10 86.89 78.11 49.59 53.85 87.18 69.29 74 71.35 65.51 80.23 86.15 89.69 75.21 135.00 95.00 84.94 54.91 59.00 95.31 74.95 75 77.79 72.06 86.43 94. 54 98.31 81.62 146.00 103. 74 92.00 60.72 67.02 104.03 81.13 76 84.31 79.76 93.00 103.60 106. 97 89.86 158. 30 113. 52 99.65 66.99 73.76 112. 97 67.71 77 91.01 89.67 100. 09 113.40 116. 27 98.67 172.20 124. 72 107.90 73.69 as. 32 122. 30 94.77 78 98.01 98. 59 107.68 123. 90 126. 60 107. 60 188.90 137. 87 116. 90 80.74 87.93 132. 16 102.56 79 105.42 107. 32 115. 70 135. 10 136. 45 117. 70 205. 20 152. 69 126. 60 88.22 99.58 143. 02 111.52 80 113. 33 119.06 124. 29 146. 70 146. 50 127.80 224. 90 168. 42 137.20 96.29 109.48 154. 71 122.14 81 121. 85 129. 80 133. 62 157.60 158. 97 137. 40 246. 90 184.29 148. 60 105. 20 120. 77 167. 26 133.54 82 131.00 139. 87 143. 86 169.20 173. 18 148. 30 271. 60 199.52 160. 90 115.13 131. 15 180. 16 144. 41 83 140. 91 152. 26 155. 37 181. 40 1S7.43 161. 70 299.00 214. 76 174. 30 126. 15 144. 98 193. 35 154. 51 84 151.97 162.71 168. 19 194. 40 202. 01 175. 80 329. 00 230. 53 188.80 137. 95 161. 70 206.62 165.91 85 164. 59 170. 35 182. 03 206. 70 217. 39 188.30 362.80 247. 27 204. 50 150. 31 173.55 220. 16 178. 61 86 178. 70 182.99 196. 51 213. 40 233. 55 201.00 399. 30 265.37 221.50 162. 99 189. 31 234. 50 191.60 87 193. 81 200.53 211.15 220.20 249. 89 216. 00 440. 00 285.16 239.90 175. 63 205.52 250. 30 204.46 88 209.38 224. 08 226. 13 227. 00 265. 24 231. 00 485.00 306. 89 259. 80 188.64 220.95 268.83 217. 43 89 225. 38 246. 09 241. 80 233. 90 280. 15 242.00 535. 00 330. 77 281. 40 202. 73 238.04 288.98 231.75 90 242. 21 257. 06 257. 81 240. 60 295. 66 270.00 590. 70 356. 92 304. SO 218. 48 252. 73 309. 20 246. 87 91 92 93 94 95 96 97 98 99 100 260. 17 279. 16 299.06 319. 75 341.45 364. 71 389. 62 '415. 84 450. 50 500.73 273. 76 289. 18 303.83 317. 70 330. 96 343. 96 357. 21 371. 35 387. 15 405. It 247. 40 254. 20 261.10 268.40 275. 70 283.30 292. 00 302.00 314.00 329. 00 311. 24 326. 38 341.07 355.18 368. 57 381.13 392. 74 403.28 412. 66 420. 77 300.00 350.00 400. 00 470.00 560. 00 660. 00 780.00 800.00 900.00 1,000.00 653. 00 723. 90 803. 40 385.41 416. 25 449. 38 484. 69 521. 98 561. 01 601.47 642. 98 685.10 330. 10 357. 60 387. 30 419. 50 454. 40 492. 10 533. 00 577. 30 625. 30 677. 30 235.96 255. 32 275. 32 294. 50 311.60 328. 41 344. 32 358. 00 374.00 396.00 269. 20 292. 83 312. 27 326. 80 360.75 386. 04 392. 59 394. 38 417.30 440.00 325.04 337. 43 348. 51 374. 66 402. 96 432. 44 468.80 506. 72 546. 98 590.07 262.65 278. 76 294.77 310. 26 324. 90 338.69 351.88 365.07 378.85 393.81 * 1000?! is copied in each case to the nearest second decimal. When only the first decimal was given a cipher was added. f Whites in the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, and the District of Columbia. 208 Table 77 UNITED STATES LIFE TABLES. FOEEIGN COUNTRIES. MALES. NUMBER OF TAKEN FROM THE PUBLISHED LIFE TABLES OF VARIOUS COUNTRIES, BASED ON THEIR OFFICIAL MAY BE MADE Age. Australia: 1901-1910 * Denmark: 1906-1910 England: 1901-1910 * France: 1898-1903 Germany: 1901-1910 * Holland: 1900-1909 India: 1901-1910 Italy: 1901-1910 Japan: 1898-1903- Norway: 1901-1910 Sweden: 1901-1910 * Switzer- land: 1901-1910 United States: 1901-1910 t 1 2 3 4 5 6 7 8 9 10 11 12 13 14 MAL ES. NUMBER OF SURVIVORS, l x . 100,000 100,000 100,000 100,000 100,000 100,000 100,000 100,000 100,000 100,000 100,000 100,000 100,000 1 90,490 87,933 85,566 83,674 79,766 85,954 71,002 83,229 84,314 91,855 90, 745 86, 160 87,262 2 88,879 86,472 82, 110 80,839 76,585 82,898 64,529 77,370 81,206 90, 169 88,679 84,266 84,628 3 88,280 85,884 80,800 79,310 75,442 81,518 60,288 74,987 79, 102 89,392 87, 712 83,442 83,464 4 87,892 85,500 79,990 78,365 74,727 80,771 57, 375 73,680 77, 757 88,824 87,022 82,898 82,730 5 87,585 85,229 79,398 77,692 74,211 80,243 55,308 72,816 76,887 88,366 86,491 82,469 82,195 6 87,339 84,986 78,967 77, 199 73,820 79,845 53,785 72,257 76, 282 87,979 86,057 82, 129 81,764 7 87, 134 84,772 78,653 76,808 73,506 79,529 52,617 71,897 75,836 87,639 85,682 81,861 81,403 8 86,952 84,578 78,419 76,478 73,244 79,267 51,684 71,658 75,476 87,330 85,339 81,620 81,097 9 86,782 84,402 78,237 76, 195 73,023 79,045 50,898 71,481 75, 165 87,041 85,037 81,402 80,835 10 86,622 84,240 78,083 75,944 72,827 78,850 50,212 71,325 74, 891 86, 769 84,762 81,201 80,605 11 86,467 84,088 77,941 75, 714 72,650 78,672 49,586 71, 164 74,643 86,510 84,489 81,019 80,394 12 86,312 83,939 77, 798 75,497 72, 487 78,508 48,993 70,982 74,407 86,262 84,239 80,849 80,192 13 86,153 83,790 77,647 75,283 72,334 78,350 48,408 70, 771 74,171 86,017 84,003 80,685 79,989 14 85,982 83,635 77,480 75,062 72, 179 78, 188 47, 818 70,531 73,908 85,762 83,771 80,519 79, 775 15 85,789 83,461 77,297 74,818 72,007 78,010 47,213 70,264 73,602 85,475 83,533 80,335 79,544 16 85,570 83,254 77,095 74,537 71,808 77,807 46,587 69,975 73,252 85,126 83,264 80,119 79,291 17 85,330 83,021 76,875 74,211 71,573 77,573 45,936 69,665 72,848 84,689 82,941 79,856 79,009 18 85,071 82,770 76,638 73,837 71' 300 77,300 45,260 69.333 72,387 84,153 82,566 79,543 78,694 19 84,789 82,498 76,384 73,416 70,989 76,978 44,557 68,972 71,871 83,524 82,126 79,186 78,344 20 84,493 82,205 76, 113 72,948 70,647 76,612 43,833 68,579 71,310 82,817 81,638 78, 797 77,957 21 84,180 81, 887 75,825 72, 438 70,291 76,224 43,091 68, 154 70, 718 82,066 81,115 78,390 77,532 22 83,851 81.556 75,521 71,894 69,935 75,832 42,333 67,704 70, 110 81,301 80,585 77,975 77,078 23 83,512 81,213 75,205 71,333 69,582 75,444 41,560 67,238 69, 499 80,538 80,064 77,558 76,614 24 83,163 80,861 74,879 70, 775 69,232 75,061 40, 773 66,768 68,894 79, 791 79,545 77, 140 76, 148 25 82,802 80,523 74,546 70,230 68,881 74,684 39,973 66,303 68,304 79,068 79,037 76,718 75,679 26 82,431 80, 198 74,208 69,702 68,528 74,317 39, 156 65,849 67, 732 78,374 78,541 76,291 75, 208 27 82,048 79,869 73, 862 69, 190 68, 173 73, 960 38, 331 65,406 67, 178 77, 709 78,048 75,856 74,732 28 81,656 79,537 73,505 68,683 67,817 73,608 37,502 64,970 66,641 77, 071 77,568 75,413 74, 245 29 81,253 79,202 73, 132 68, 172 67,458 73,258 36,669 64,537 66,115 76,458 77,092 74,962 73, 741 30 80,844 78,862 72, 741 67,653 67,092 72,907 35,831 64, 108 65,596 75,866 76,619 74,506 73,222 31 80,425 78,509 72,329 67, 121 66, 719 72,561 34,988 63,680 65,080 75,292 76,156 74,044 72,687 32 79, 991 78, 146 71,896 66,575 66,338 72,223 34, 135 63,253 64,563 74, 733 75,694 73,574 72, 133 33 79,544 77, 772 71,442 66,012 65,946 71,882 33, 274 62,825 64,041 74,184 75,237 73|088 71,558 34 79,082 77,386 70,967 65,434 65,536 71,526 32,406 62,395 63,513 73,642 74,785 72,584 70,961 35 78,607 76,988 70,472 64,839 65,104 71,155 31,533 61, 962 62, 976 73, 104 74,331 72,060 70,342 36 78,109 76,581 69,956 64,228 64,650 70, 773 30,656 61, 525 62,429 72,567 73,858 71,517 69,699 37 77,591 76, 162 69,418 63,601 64, 175 70,377 29,776 61,080 61, 870 72,030 73,386 70, 953 69,038 38 77,050 75, 722 68,858 62,959 63,676 69,966 28,896 60,625 61,296 71,492 72,906 70,365 68,365 39 76,482 75,260 68,275 62,306 63, 149 69,539 28,015 60, 156 60, 707 70, 952 72,414 69, 747 67,685 40 75,887 74, 773 67, 668 61,641 62,598 69,090 27, 136 59,669 60, 101 70,408 71,897 69,100 66,996 41 75, 268 74,267 67,038 60,960 62,021 68,621 26,260 59', 163 59,476 69,860 71,352 68,421 66,299 42 74,621 73, 710 66,382 60,261 61,413 68,134 25,387 58,638 58,829 69,305 70,797 67,711 65,590 43 73, 942 73, 132 65,697 59,541 60, 773 67, 628 24,519 58,094 58, 160 68, 742 70,228 66,966 64,858 44 73,228 72,524 64,980 58, 799 60,105 67, 098 23,657 57,535 57, 466 68, 167 69,645 66,184 64,097 45 72,479 71,879 64,230 58,033 59,405 66,532 22,803 56,962 56,743 67,579 69,050 65,364 63,304 46 71,694 71,205 63,444 57,242 58,666 65, 935 21,955 56, 375 55, 989 66, 976 68,412 64,509 62,475 47 70, 875 70,511 62,621 56,424 57, 892 65, 315 21,116 55, 771 55,203 66,356 67, 767 63,620 61,615 48 70, 021 69, 795 61,757 55,580 57,084 64,666 20,287 55,144 54,382 65,716 67,089 62,693 60,739 49 69, 139 69,054 60,851 54,711 56,233 63,980 19, 467 54,488 53,524 65,054 66,427 61, 719 89,856 * These derived values were all copied to the nearest integer when the radix is 100,000. f Whites In the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, and the District of Columbia. FOREIGN COUNTRIES. 209 SURVIVORS OUT OF 100,000 BORN ALIVE. Table 77 POPULATION AND DEATH STATISTICS, AND EXHIBITED HERE IN TABULAR FORM SO THAT A COMPARISON AT EACH AGE. Age. Australia: Denmark: England: France: Germany: Holland: India: Italy: Japan: Norway: Sweden: SWITZER- United States: 1901-1910 t 1901-1910 * 1906-1910. 1901-1910 * 1898-1903 1901-1910 1900-1909 1901-1910 1901-1910 1898-1903 1901-1910 1901-1910 * 1901-1910 1 2 3 4. 5 6 7 8 9 10 11 12 13 14 NUMBER OF SURVIVORS, l x . MALES. 50 68,221 68,284 59,903 53, 818 55,340 63, 265 18,658 53, 799 52, 629 64, 366 65, 702 60, 692 58,963 51 67,270 67, 473 58,910 52, 903 54, 403 62, 520 17,860 53,075 51, 695 63,651 64, 963 59, 607 58,062 52 66,286 66,619 57,870 51,965 53, 419 61, 741 17,074 52,315 50, 720 62, 908 64,175 58,464 57, 142 53 65, 266 65,715 56, 779 51, 005 52,388 60,920 16,299 51.S19 49,700 62, 135 63, 357 57,266 56,180 54 64,208 64, 755 55,635 50,020 51,312 60,044 15,537 50, 692 48, 636 61, 335 62,504 56,011 55, 159 55 63,107 63,730 54, 435 49,004 50, 185 59, 107 14, 787 49,838 47, 523 60,507 61,601 54, 703 54,075 56 61,961 62, 642 53, 179 47, 949 49,003 58, 110 14, 049 48, 954 46, 360 59, 650 60,661 53,344 52,919 57 60,763 61, 487 51, 864 46,847 47,772 57, 060 13,325 48,032 45, 144 58, 762 59,709 51, 931 51, 692 58 59, 505 60, 271 50, 490 45, 689 46,500 55,951 12, 613 47,058 43, 873 57, 839 58, 716 50, 456 50,409 59 58,178 58,980 49,057 44, 473 45,180 54, 782 11,914 46, 018 42, 545 56,875 57, 665 48,911 49,079 60 58, 782 57,639 47,564 43, 199 43,807 53,551 11,229 44,902 41, 160 55,862 56. 548 47,298 47, 701 61 55,315 56,262 46,012 41, 867 42, 379 52,250 10, 557 43, 707 39, 717 54, 793 55,380 45,622 46,275 6a 53,772 54, 823 44, 404 40, 479 40, 892 50, 895 9,898 42, 432 38,216 53,661 64, 112 43,894 44, 797 63 52, 153 53, 318 42,741 39,036 39,343 49,457 9,252 41,081 35,659 52, 459 52,860 42, 115 43,260 64 50, 455 51, 746 41,030 37,542 37, 737 47,914 8,620 39, 666 35,047 51,182 51,471 40,286 41, 658 65 48, 670 50, 114 39,278 35, 998 36,079 46,287 8,002 38, 198 33,384 49, 827 50, 040 38,402 39,996 66 46, 792 48, 408 37, 488 34, 403 34,381 44, 565 7,39S 36, 677 31,674 48, 392 48,537 36, 466 38,279 67 44,813 46,615 35, 659 32, 754 32,637 42, 750 6,808 35,093 29,925 46, 879 46, 973 34,480 36, 517 68 42,732 44, 730 33, 786 31,049 30,838 40, 867 . 6,234 33,430 28,144 45,292 45, 257 32, 452 34,720 - 69 40,550 42, 756 31,865 29,287 28, 998 38,909 5,676 31,677 26,339 43,635 43, 506 30,390 32,896 70 38,275 40,684 29, 898 27,465 27, 136 36,866 5,131 29,835 24,519 41, 911 41,680 28,306 31,050 71 35,916 38,502 27, 893 25,589 25,254 34, 749 4,612 27, 911 22, 694 40, 119 39, 746 26,213 29,190 72 33,488 36,261 25,860 23, 669 23, 345 32, 591 4,109 25, 919 20, 873 38,255 37, 738 24,127 27,313 73 31,005 34,000 23,817 21, 722 21, 416 30, 376 3,627 23,877 19,070 36,315 35, 644 22,059 25, 411 74 28, 487 31,705 21,777 19, 774 19, 490 28, 099 3, Hi9 21, 815 17,297 34,297 33,4S5 20,019 23,486 75 25,962 29,370 19,754 17, 815 17, 586 25,800 2,736 19,762 15, 570 32,206 31,227 18, 014 21, 547 76 23,467 26, 997 17, 766 15, 879 15,715 23,498 2,331 17,734 13,896 30,051 28, 898 16,052 19,605 77 21,034 24,588 15, 836 13, 984 13,902 21, 206 1,956 15, 742 12,287 27,846 26, 566 14,144 17,683 78 18,687 22, 139 13,985 12, 152 12, 169 18,956 1,611 13, 795 10,755 25,605 24, 170 12,305 15, 813 79 16,447 19, 701 12,237 10,403 10,525 16, 786 1,305 11,900 9,311 23,345 21,728 10,558 14,016 80 14,330 17,333 10, 608 8,774 8,987 14, 681 1,032 10, 079 7,964 21,083 19,350 8,928 12,295 81 12, 354 15, 045 9,105 7,302 7,568 12, 670 796 8,368 6,723 18,841 17,013 7,438 10,651 82 10,528 12, 874 7,731 6,005 6,275 10, 794 596 6,806 5,595 16,644 14,784 6,104 9,103 83 8,857 10,859 6,482 4,871 5,116 9,069 432 5,426 4,584 14, 521 12, 618 4,932 7,674 84 7,343 9,013 5,354 3,885 4,094 7,496 302 4,240 3,692 12, 501 10,610 3,923 6,375 85 5,995 7,373 4,349 3,037 3,212 6,085 202 3,245 2,918 10,610 8,732 3,068 5,214 66 4,814 5,960 3,465 2,337 2,468 4,844 128 2,429 2,259 8,869 7,053 2,350 4,197 87 3,798 4,755 2,705 1,778 1,856 3,793 77 1,774 1,710 7,295 5,567 1,770 3,324 88 2,941 3,688 2,066 1,337 1,364 2,924 44 1,261 1,262 5,900 4,313 1,297 2,589 89 2,230 2,739 1,540 993 978 2,211 23 870 906 4,688 3,257 926 1,983 90 1,652 1,968 1,117 728 683 1,636 11 580 631 3,656 2,380 645 1,492 91 1,194 787 526 464 1,162 5 372 425 2,794 1,697 441 1,102 92 93 94 95 96 97 98 99 100 840 574 380 244 151 90 52 28 15 538 358 234 149 94 59 36 22 13 375 263 181 122 80 51 32 19 11 307 197 123 74 44 25 14 7 4 755 445 236 111 44 13 3 2 1 228 133 73 38 18 8 3 1 273 171 101 57 30 15 7 3 1 2,089 1, 524 1,082 747 601 326 205 124 72 1,181 796 526 332 200 116 67 39 20 295 194 123 78 43 23 11 5 2 798 666 392 266 175 113 70 43 25 ♦These derived values were all copied to the nearest integer when the radix is 100,000. t Whites in the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, andthe District of Columbia. 150822°— 21 14 210 Table 78 UNITED STATES LIFE TABLES. FOKEIGN COUNTRIES. FEMALES. NUMBER OF TAKEN FROM THE PUBLISHED LIFE TABLES OF VARIOUS COUNTRIES, BASED ON THEIR OFFICIAL MAY BE MADE Age. Australia: 1901-1910 * Denmark: 1906-1910 England: 1901-1910 * France: 1898-1903 Germany: 1901-1910 * Holland: 1900-1909 India: 1901-1910 Italy: 1901-1910 Japan: 1898-1903 Norway: 1901-1910 Sweden: 1901-1910 * Switzer- land: 1901-1910 United States: 1901-1910 t 1 2 3 t 5 6 7 8 9 10 11 12 13 141 FEM AXES. NUMBER OF SURVIVORS, l x . 100, 000 100,000 100,000 100,000 100, 000 100,000 100,000 100, 000 100, 000 100, 000 100, 000 100,000 100,000 1 92, 047 90,229 88,257 86,351 82, 952 88,231 71, 540 84, 789 85, 908 93, 321 92, 402 88,742 89, 449 2 90,515 88,786 84, 934 83,617 79, 761 85,212 65, 375 78, 738 82, 817 91, 757 90, 442 86,824 86,996 3 89,946 88,228 83,638 82, 150 78, 594 83,873 61, 348 76, 230 80, 662 90, 928 89,509 86,004 85,899 4 89, 576 87,839 82, 797 81,200 77, 867 83,185 58,582 74,866 79,265 90,366 88,830 85,466 85,188 5 89,285 87, 558 82, 178 80, 496 77, 334 82, 690 56, 608 73,935 78,339 89,922 88,285 85,054 84,668 6 89, 055 87, 333 81, 723 79, 974 76, 924 82, 307 55,123 73,307 77, 704 89, 537 87, 829 84, 709 84,245 7 88,865 87, 129 81,387 79,553 76,587 81, 998 53, 954 72,880 77,241 89, 194 87, 446 84,438 83,895 8 88,695 86,935 81, 132 79, 199 76,301 81, 739 52, 995 72, 578 76, 869 88,882 87, 115 84,190 83,603 9 88,540 86, 748 80,929 78, 892 76,058 81, 515 52, 178 72.344 76, 545 88,590 86,796 83,965 83,357 10 88,395 86,566 80,756 78,616 75, 845 81, 314 51, 450 72, 136 76,245 88,308 86, 509 83,760 83,143 11 88,255 86, 386 80,595 78, 358 75, 651 81,129 50, 787 71,927 75, 958 88,026 86, 228 83,571 82, 947 12 88,111 86, 203 80, 436 78, 105 75, 467 80, 949 50, 160 71, 698 75, 666 87, 736 85,955 83,384 82, 757 13 87, 957 86, 013 80, 269 77, 844 75,285 80, 764 49, 545 71,440 75, 347 87, 426 85,680 83,183 82,563 14 87, 795 85,814 80,090 77, 561 75, 094 80, 566 48, 931 71,150 74,985 87, 091 85,375 82,955 82, 356 15 87, 619 85,596 79,898 77,248 74, 887 80,341 48,304 70,830 74,568 86. 726 85,049 82,686 82, 129 16 87, 428 85,346 79,692 76, 903 74, 661 80,083 47, 658 70,484 74, 092 86,329 84, 693 82,371 81,875 17 87,215 85,075 79,473 76, 527 74,411 79,801 46,988 70, 116 73,556 85,901 84,302 82,013 81, 593 18 86,980 84, 789 79,244 76, 124 74, 143 79, 513 46, 293 69, 728 72,963 85,443 83,894 81,620 81,283 19 86, 728 84, 491 79,004 75, 696 73,861 79,227 45, 571 69, 319 72, 324 84, 961 83,475 81,205 80,946 20 86, 459 84, 180 78, 756 75,246 73,564 78, 937 44,828 68, 891 71, 652 84, 459 83,053 80, 778 80,581 21 86,175 83,862 78, 500 74, 774 73,254 78, 634 44,067 68, 445 70, 961 83,941 82,616 80, 342 80, 186 22 85,874 83,537 78,235 74,285 72, 929 78, 316 43,293 67,984 70,262 83,411 82,159 79,895 79,768 23 85,556 83,203 77, 962 73, 780 72, 586 77,990 42, 507 67,511 69, 564 82, 874 81,693 79,437 79, 335 24 85,224 82,857 77, 681 73,261 72,225 77, 661 41, 709 67,030 68, 871 82,332 81, 235 78,968 78, 891 25 84, 875 82,500 77, 391 72, 732 71,849 77, 326 40,901 66, 545 68,186 81,788 80, 771 78, 489 78, 437 26 84,510 82, 134 77, 092 72, 197 71,463 76, 980 40,083 66, 057 67,510 81,243 80,290 78,004 77,974 27 84,132 81,760 76,784 71,661 71,070 76, 620 39,258 65,569 66,842 80,698 79, 804 77, 515 77,500 28 83,738 81,377 76,463 71, 129 70, 669 76,253 38, 426 65,080 66, 180 80, 153 79, 328 77,022 77,016 29 83,328 80,989 76, 129 70,599 70,261 75,881 37,588 64, 591 65,525 79, 609 78,856 76,525 76, 519 30 82, 909 80,598 75, 779 70, 068 69,848 75, 501 36, 745 64,103 64, 874 79,064 78,382 76,025 76,009 31 82, 478 80,205 75,412 69, 536 69, 432 75,111 35, 897 63,617 64, 227 78,516 77,902 75,521 75, 488 32 82, 033 79, 806 75,028 69,002 69,008 74,708 35, 045 63, 133 63,581 77,964 77, 434 75,012 74, 954 33 81,576 79, 399 74, 626 68, 465 68, 575 74, 291 34, 190 62, 649 62, 934 77, 407 76, 969 74,499 74,409 34 81,104 78, 987 74,206 67,923 68, 132 73, 864 33,332 62,165 62,285 76,845 76,493 73,980 73,856 35 80,618 78,565 73,769 67,377 67, 679 73, 433 32,471 61,679 61, 632 76,279 76,007 73,456 73,295 36 80, 120 78, 133 ?3, 314 66, 825 67, 215 72, 995 31,608 61, 192 60, 974 75, 712 75, 512 72, 926 72, 725 37 79,609 77, 697 72, 840 66, 269 66, 744 72, 542 30, 743 60, 703 60,311 75, 146 75,020 72,388 72,149 38 79, 084 77,253 72, 347 65, 709 66, 266 72,078 29, 876 60,211 59, 645 74, 580 74,515 71,839 71,566 39 78,549 76, 803 71, 837 65, 147 65,779 71, 601 29,008 59, 715 58, 976 74, 015 74,004 71,279 70, 978 40 78,001 76,341 71,308 64,583 65,283 71,109 28, 139 59,215 58, 308 73, 449 73,496 70, 706 70, 383 41 77,441 75,865 70,762 64,015 64,779 70,604 27,271 58,709 57, 644 72,881 72,981 70,125 69,782 42 76, 871 75, 375 70, 196 63,411 64, 269 70, 095 26, 406 58, 199 56,987 72, 312 72,459 69,540 69,171 43 76,289 74,870 69, 608 62,859 63, 754 69,583 25, 545 57, 687 56, 33S 71, 742 71,936 68, 953 68,545 44 75,699 74,352 68,996 62,266 63, 238 69, 069 24, 689 57,177 55, 699 71,174 71,413 68,364 67,901 45 75, 103 73, 818 68, 359 61, 601 62, 717 68, 556 23,839 56,673 55, 065 70,607 70, 878 67, 766 67,235 46 74, 497 73,276 67, 696 61, 043 62, 181 68, 032 22,997 50, 174 54, 432 70,038 70,333 67, 152 66,544 47 73,882 72, 728 67, 005 60, 409 61, 628 67,483 22,163 55, 670 53, 795 69, 464 69, 790 66,510 65, 828 48 73,254 72, 165 66, 282 59, 757 51, 053 66,921 21,338 55,169 53,147 68, 879 69, 201 65,833 65,088 49 72, 009 71, 587 65,528 .59,084 60,449 66, 349 20,522 54,645 52,482 68,279 68, 619 65,116 64, 326 * These derived values were all copied to the nearest integer when the radix is 100,000. tWhites in the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, and the District of Columbia. FOREIGN COUNTRIES. SURVIVORS OUT OF 100,000 BORN ALIVE. 211 Table 78 POPULATION AND DEATH STATISTICS, AND EXHIBITED HERE IN TABULAR FORM SO THAT A COMPARISON AT EACH AGE. Age. Australia: Denmark: England: France: Germany: Holland: India: Italy: Japan: Norway: Sweden: Switzer- United States: 1901-1910 t 1901-1910 * 1906-1910 1901-1910 * 1898-1903 1901-1910 * 1900-1909 1901-1910 1901-1910 1898-1903 1901-1910 1901-1910 * land: 1901-1910 i 2 3 i 5 6 7 8 9 10 11 12 13 14 NUMBER OP SURVIVORS, l x . FEMALES. 50 71, 945 70,990 64, 742 58,385 59, 812 65, 733 19,714 54, 097 51, 794 67, 660 68, 005 64, 362 63, 539 51 71,257 70,353' 63,922 57, 659 59, 138 65, 070 18,914 53, 520 51, 079 67, 020 67, 386 63, 567 62, 727 52 70, 546 69, 675 63,063 56,904 58,418 64,373 18, 123 52, 911 50,334 66, 358 66,741 62, 733 61,883 53 69, 802 68,963 62,157 56, 119 57, 648 63,646 17,342 52, 269 49, 557 65, 673 66, 085 61, 851 60, 996 54 69,022 68, 212 61,198 55,302 56,837 62, 8S4 16,572 51,596 48, 746 64, 962 65, 389 60, 920 60, 054 55 68, 199 67, 428 60,179 54, 452 55, 984 62, 092 15, 813 50, 894 47, 898 64,224 64,639 59,931 59, 053 56 67,329 66, 628 59,097 53,563 55, 077 61, 262 15, 064 50, 159 47, 011 63, 457 63, 866 58, 881 57, 985 57 66, 406 65, 796 57, 951 52, 629 54, 106 60,367 14, 325 49,381 46, 082 62, 657 63, 062 57, 757 56, 850 58 65, 426 64,911 56, 743 51, 640 53, 067 59, 405 13, 596 48, 544 45, 106 61, 822 62,219 66, 555 55, 654 59 64, 375 63, 969 55,478 50, 572 51,959 58,390 12, 876 47, 633 44, 079 60, 949 61, 319 55, 268 54, 407 60 63,247 62,958 54, 157 49, 441 50, 780 57, 299 12, 165 46, 638 12, 998 60, 032 60,387 53, 897 53,104 61 62,033 61, 861 52,782 48, 237 49, 524 56,110 11, 462 45, 553 41, 859 59, 065 59,384 52, 441 61, 748 62 60,730 60, 674 51,351 46, 960 48,176 54, 829 10, 768 44, 375 40,658 58, 040 58,325 50, 893 50,334 63 59,335 59,399 49, 860 45, 609 46, 725 53, 466 10, 084 43. 103 39,394 56, 950 57, 213 49, 242 48,850 64 57, 844 68, 026 48,314 44, 187 45, 178 52,016 9,410 41, 745 38, 064 5a, 789 56,013 47, 479 47, 288 65 56,256 56, 545/ 46, 716 42,694 43, 540 50, 471 8,747 40,310 36, 668 54, 552 54, 733 45,607 45, 654 66 54,570 54, 951 45,066 41, 130 41, 816 48,838 S.096 38, 797 35, 206 53,236 53, 369 43, 633 43,949 67 52, 784 53,248 43,351 39, 493 40,007 47, 106 7,458 37, 195 33, 679 51,839 51, 921 41,570 42, 179 68 50, 896 51,420 41, 556 37, 771 38,111 45,263 6,835 35, 491 32,090 50, 358 50,366 39, 428 40,348 69 48, 902 49, 467 39, 659 35,958 36, 129 43,304 6,227 33, 673 30, 444 48, 791 48, 705 37,209 38, 458 70 46, 793 47,405 37, 646 34, 053 34, 078 41,243 5,637 31, 742 28, 745 47, 135 46, 943 34, 922 36, 512 71 44,557 45,216 35, 522 32, 061 31, 963 39, 109 5,067 29,708 27, 000 45,385 45, 051 32, 577 34,514 72 42, 194 42,916 33, 304 29, 989 29, 777 36,896 4,519 27, 589 25,217 43, 536 43,091 30, 192 32, 470 73 39, 710 40, 563 31, 027 27, 850 27, 535 34, 586 3,994 25, 409 23, 406 41,582 40,944 27,783 30,389 74 37,128 38, 150 28,723 25, 665 25,273 32, 191 3,494 23,201 21, 578 39, 520 38, 739 25, 361 28,283 75 34, 479 35,651 26, 418 23, 454 23,006 29, 770 3,022 20,997 19, 745 37,350 36, 453 22,944 26,163 76 31, 797 33,082 24,135 21,237 20, 745 27,340 2,581 18,819 17,928 35,082 34,010 20,557 24, 041 77 29,116 30, 443 21, 891 19, 036 18,526 24,883 2,172 16,683 16,141 32, 732 31,502 18,235 21,932 78 26, 466 27, 714 19, 699 16, 878 16,372 22, 428 1,798 14, 602 14,399 30,320 28, 877 16,004 19,854 79 23,872 24,981 17,578 14, 787 14, 299 20, 015 1,458 12,589 12, 716 27, 872 26,338 13,889 17, 817 80 21,356 22,300 15,545 12, 789 12,348 17, 659 1,159 10, 667 11, 106 25, 413 23, 715 11, 903 15,831 81 18,935 19, 645 13, 613 10,913 10,539 15, 402 898 8,870 9,582 22, 966 21,119 10,061 13, 897 82 16, 628 17,095 11, 794 9,194 8,864 13, 286 676 7,235 8,168 20, 550 18,568 8,378 12,041 83 14, 450 14, 704 10,097 7,638 7,329 11,316 492 5,791 6,845 18, 184 16, 133 6,869 10,302 84 12, 414 12,465 8,528 6,253 5,955 9,486 345 4,547 5,652 15, 890 13, 794 5,541 8,710 85 10,527 10, 437 7,094 5,037 4,752 7,818 231 3,499 4,585 13, 698 11,564 4,396 7,265 86 8,795 8,659 5,803 3,996 3,719 6,346 147 2,634 3,647 11,639 9,557 3,428 5,968 87 7,223 7,075 4,662 3,143 2,850 5,070 88 1,935 2,839 9,742 7,748 2,624 4,824 88 5,823 5,656 3,678 2,451 2,138 3,975 49 1,383 2,158 8,031 6,155 1,967 3,838 89 4,604 4,389 2,846 1,895 1,571 3,057 25 959 1,597 6,516 4,795 1,439 3,003 90 3,566 3,309 2,158 1,452 1,131 2,317 12 642 1,148 5,195 3,654 1,023 2,307 91 2,703 1,999 1,602 1,163 1,103 830 797 1,691 5 413 798 4,060 2,730 1,995 1,411 707 1 738 92 549 1,184 2 254 535 3,102 477 1,281 924 93 1,441 827 619 370 770 1 148 344 2,310 316- 94 95 1,010 687 576 393 457 334 244 157 462 245 81 42 211 122 1,674 1,181 970 653 206 129 652 450 96 97 98 99 100 453 288 175 103 56 263 172 111 70 43 242 173 123 86 59 99 61 37' 22 13 108 37 8 2 20 9 4 1 67 34 16 7 3 813 546 358 230 144 418 256 156 95 55 77 44 23 11 5 303 201 130 83 51 * These derived values were all copied to the nearest integer when the radix is 100,000. fWhites in the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey Indiana, Michigan, and the District of Columbia. 212 Table 79 UNITED STATES LIFE TABLES. FOREIGN COUNTRIES. MALES. NUMBER TAKEN FROM THE PUBLISHED LIFE TABLES OF VARIOUS COUNTRIES, BASED ON THEIR OFFICIAL MAY BE MADE Age. Australia: Denmark: England: France: Germany: Holland: India: Italy: Japan: Norway: Sweden: Switzer- United States: 1901-1910 t 1901-1910 * 1906-1910 * 1901-1910 *• 1898-1903 1901-1910 * 1900-1909 1901-1910 1901-1910 * 1898-1903 1901-1910 1901-1910 * land: 1901-1910 * l 2 3 4 5 6 7 8 9 10 11 12 13 14 MAL ES. NUMBER OF DEATHS, d x . 9,510 12, 067 14, 434 16, 326 20,234 14, 046 28, 998 16,771 15, 686 8,145 9,255 13,840 12, 738 1 1,611 1,461 3,456 2,835 3,181 3,056 6, 473 5,859 3,108 1,686 2,066 1,894 2,634 2 599 588 1,310 1,529 1,143 1,380 4,241 2,383 2,104 777 967 824 1,164 3 388 384 810 945 715 747 2,913 1,307 1,345 568 690 544 734 4 307 271 592 673 510 528 2,069 864 870 458 531 429 535 5 246 243 431 493 391 398 1, 523 559 605 387 434 340 431 6 205 214 314 391 314 316 1,168 360 446 340 375 268 361 7 182 194 234 330 262 262 933 239 360 309 343 241 306 8 170 176 182 283 221 222 786 177 311 289 302 218 262 9 160 162 154 251 196 195 686 156 274 272 275 201 230 10 155 152 142 230 177 178 626 161 248 259 273 182 211 11 155 149 143 217 163 164 593 182 236 248 250 170 202 12 159 149 151 214 153 158 585 211 236 245 236 164 203 13 171 155 167 221 155 162 590 240 263 255 232 166 214 14 193 174 183 244 172 178 605 267 306 287 238 184 231 15 219 207 202 281 199 203 626 289 350 349 269 216 253 16 240 233 220 326 235 234 651 310 404 437 323 263 282 17 259 251 237 374 273 273 676 332 461 536 375 313 315 18 282 272 254 421 311 322 703 361 516 629 440 357 350 19 296 293 271 468 342 366 724 393 561 707 488 389 387 20 313 318 288 510 356 388 742 425 592 751 523 407 425 21 329 331 304 544 356 392 758 450 608 765 530 415 454 22 339 843 316 561 353 388 773 466 611 763 521 417 464 23 349 352 326 558 350 383 787 470 605 747 519 418 466 24 361 338 333 545 351 377 800 465 590 723 508 422 469 25 371 325 338 528 353 367 817 454 572 694 496 427 471 26 383 329 346 512 355 357 825 443 554 665 493 435 476 27 392 332 357 507 356 352 829 436 537 638 480 443 487 28 403 335 373 511 359 350 833 433 526 613 476 451 504 29 409 340 391 5i9 366 351 838 429 519 592 473 456 519 30 419 353 412 532 373 346 843 428 516 574 463 462 535 31 434 363 433 546 381 3S8 853 427 517 559 462 470 554 32 447 374 454 563 392 341 861 428 522 549 457 486 575 33 462 386 475 578 410 356 868 430 528 542 452 504 597 34 475 398 495 595 432 371 873 433 537 538 454 524 619 35 498 407 516 611 454 382 877 437 547 537 473 543 643 36 518 419 538 627 475 396 880 445 559 537 472 564 661 37 541 440 560 642 499 411 880 455 574 538 480 588 673 38 568 462 583 653 527 427 881 469 589 540 492 618 680 39 595 487 607 665 551 449 879 487 606 544 517 647 689 40 619 516 630 681 577 469 876 506 625 548 545 679 697 41 647 547 656 699 608 487 873 525 647 555 555 710 709 42 679 578 685 720 640 506 868 544 669 563 569 745 732 43 714 608 717 742 668 530 862 559 694 575 583 782 761 44 749 645 750 766 700 566 854 573 723 588 595 820 793 45 785 674 786 791 739 597 848 587 754 603 638 855 829 46 819 694 823 818 774 620 839 604 786 620 645 889 860 47 854 716 864 844 808 649 829 627 821 640 678 927 876 48 882 741 906 869 851 686 820 656 858 662 662 974 883 49 918 770 948 893 893 715 809 689 895 688 7% 1,027 893 * These derived values agree with those for lx in Table 77, p. 208. See footnote to that table. t Whites in the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York New Jersey, Indiana, Michigan, and the District of Columbia. FOREIGN COUNTRIES. OF DEATHS OUT OF 100,000 BORN ALIVE. 213 Table 79 POPULATION AND DEATH STATISTICS, AND EXHIBITED HERE IN TABULAR FORM SO THAT A COMPARISON AT EACH AGE. Age. Australia: Denmark: Engund: France: Germany: Holland: India: Italy: Japan: Norway: Sweden: SWTTZER- United States: 1901-1910 t 1901-1910 * 1906-1910 * 1901-1910 * 1898-1903 1901-1910 * 1900-1909 1901-1910 1901-1910 * 1898-1903 1901-1910 1901-1910 * 1901-1910 * 1 2 3 4 5 6 7 8 9 10 11 12 13 14 NUMBER OP DEATHS ^. MALES. 60 951 811 993 915 937 745 798 724 934 715 739 1,085 901 51 984 854 1,040 938 984 779 786 760 975 743 788 1,143 920 52 1, 020 904 1,091 960 1,031 821 775 796 1,020 773 818 1,198 962 53 1,058 960 1,144 985 1,076 876 762 827 1,064 800 853 1,255 1,021 54 1,101 1,025 1,200 1,016 1,126 937 750 854 1,113 828 903 1,308 1,084 55 1,146 1,088 1,256 1,055 1,183 997 738 884 1,163 857 940 1,359 1,156 56 1, 198 1,155 1,315 1,102 1,231 1,050 724 " 922 1,216 888 952 1,413 1,227 57 1,258 1,216 1,374 1,158 1,272 1,109 712 974 1,271 923 993 1,475 1,283 58 1,327 1,291 1,433 1,216 1,320 1,169 699 1,040 1,328 964 1,051 1,545 1,330 59 1,396 1,341 1,493 1,274 1,373 1,231 685 1,116 1,385 1,013 1,117 1,613 1,378 60 1,467 1,377 1,552 1,332 1,428 1,301 672 1,195 1,443 1,069 1,168 1,676 1,426 61 1,543 1,439 1,608 1,388 1,487 1,355 659 1,275 1,501 1,132 1,268 1,728 1,478 62 1,619 1,505 1,663 1,443 1,549 1,438 646 1,351 1,557 1,202 1,252 1,779 1,537 63 1,698 1,572 1,711 1,494 1,606 1,543 632 1,415 1,612 1,277 1,386 1,829 1,602 64 1,785 1,632 1,752 1,544 1,658 1,627 618 1,468 1,663 1,355 1,434 1,884 1,662 65 1,878 1,706 1,790 1,595 1,698 1,722 604 1,521 1,710 1,435 1,503 1,936 1,717 66 1,979 1,793 1,829 1,649 1,744 1,815 590 1,584 1,749 1,513 1,564 1,986 1,762 67 2,081 1,885 1,873 1,705 1,799 1,883 574 1,663 1,781 1,587 1,716 2,028 1,797 68 2,182 1,974 1,921 1,762 1,840 1,958 558 1,753 1,805 1,657 1,751 2,062 1,824 69 2,275 2,072 1,967 1,822 1,862 2,043 542 1,842 1,820 1,724 1,826 2,084 1,846 70 2,359 2,182 2,005 1,876 1,882 2,117 522 1,924 1,825 1,792 1,934 2,093 1,860 71 2,428 2,241 2,033 1,920 1,909 2,158 503 1,992 1,821 1,864 2,008 2,086 1,877 72 2,483 2,261 2,043 1,947 1,929 2,215 482 2,042 1,803 1,940 2,094 2,068 1,902 73 2,518 2,295 2,040 1,948 1,926 2,277 458 2,062 1,773 2,018 2,159 2,040 1,925 74 2,525 ' 2,335 2,023 1,959 1,904 2,299 433 2,053 1,727 2,091 2,258 2,005 1,939 75 2,495 2,373 1,988 1,936 1,871 2,302 405 2,028 1,674 2,155 2,329 1,962 1,942 76 2,433 2,409 1,930 1,895 1,813 2,292 375 1,992 1,609 2,205 2,342 1,908 1,922 77 2,347 2,449 1,851 1,832 1,733 2,250 342 1,947 1,532 2,241 2,386 1,839 1,870 78 2,240 2,438 1,748 1,749 1,644 2,170 309 1,895 1,444 2,260 2,442 1,747 1,797 79 2,117 2,368 1,629 1,629 1,538 2,105 273 1,821 1,347 2,262 2,378 1,630 1,721 SO 1,976 2,288 1,503 1,472 1,419 2,011 236 1,711 1,241 2,242 2,337 1,490 • 1,644 81 1,826 2,171 1,374 1,297 1,293 1,876 200 1,562 1,128 2,197 2,229 1,334 1,548 82 1,671 2,015 1,249 1,134 1,159 1,725 164 1,380 1,011 2,123 2,166 1,172 1,429 83 1,514 1,846 1,128 986 1,022 1,573 130 1,186 892 2,020 2,008 1,009 1,299 84 1,348 1,640 1,005 848 882 1,411 100 995 774 1,891 1,878 855 1,161 85 1,181 1,413 884 700 744 1,241 74 816 659 1,741 1,679 712 1,017 86 1,016 1,205 760 559 612 1,051 51 655 549 1,574 1,486 586 873 87 857 1,067 639 441 492 869 33 513 448 1,395 1,254 473 735 88 711 949 526 344 386 713 21 391 356 1,212 1,056 371 606 89 578 771 423 265 295 575 12 290 275 1,032 877 281 491 90 91 92 93 94 95 96 97 98 99 100 458 354 266 194 136 93 61 38 24 13 8 330 249 180 124 85 55 35 23 14 9 6 202 151 112 82 59 42 29 19 13 8 5 219 157 110 74 49 30 19 11 7 3 474 407 310 209 125 67 31 10 3 6 3 1 1 208 144 95 60 35 20 10 5 2 1 206 150 104 70 44 27 15 8 4 2 1 862 705 565 442 335 246 175 121 81 52 33 683 516 385 270 194 132 84 49 28 19 10 204 146 101 71 48 32 20 12 6 3 1 390 304 232 174 126 91 62 43 27 18 11 * These derived values agree with those for l x in Table 77, p. 208. See footnote to that table, t Whites in the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecricut, New York, New Jersey. Indiana, Michigan, and the District of Columbia. 214 Table 80 UNITED STATES LIFE TABLES. FOREIGN COUNTRIES. FEMALES. NUMBER TAKEN FROM THE PUBLISHED LIFE TABLES OF VARIOUS COUNTRIES, BASED ON THEIR OFFICIAL MAY BE MADE Age. Australia: Denmark : England: France: Germany: Holland: India: Italy: Japan: Norway: Sweden: Switzer- land: 1901-1910 * United States: 1901-1910 t 1901-1910 * 1906-1910 * 1901-1910 * 1898-1903 1901-1910 * 1900-1909 1901-1910 1901-1910 * 1898-1903 1901-1910 1901-1910 * 1 2 3 4 5 6 7 8 9 10 11 12 13 li FEM ALES. NUMBER OF DEATHS, d x . 7,953 9,771 11, 743 13,649 17,048 11, 769 28,460 15,211 14,092 6,679 7,598 11,258 10, 551 1 1,532 1,443 3,323 2,734 3,191 3,019 6,165 6,051 3,091 1,564 1,960 1,918 2,453 2 569 558 1,296 1,467 1,167 1,339 4,027 2,508 2,155 829 933 820 1,097 3 370 389 841 950 727 688 2,766 1,364 1,397 562 679 538 711 4 291 281 619 704 533 495 1,974 931 926 444 545 412 520 5 230 225 455 522 410 383 1,485 628 635 385 456 345 423 6 190 204 336 421 337 309 1,169 427 463 343 383 271 350 7 170 194 255 354 286 259 959 302 372 312 331 248 292 S 155 187 2p3 307 243 224 817 2J34 324 292 319 225 246 9 145 182 173 276 213 201 728 208 300 282 287 205 214 10 140 180 161 258 194 185 663 209 287 282 281 189 196 11 144 183 159 253 184 180 627 229 292 290 273 187 190 12 154 190 167 261 182 185 615 258 319 310 275 201 194 13 162 199 179 283 191 198 614 290 362 335 305 228 207 14 176 218 192 313 207 225 627 320 417 365 326 269 227 15 191 250 206 345 226 258 646 346 476 397 356 315 254 16 213 271 219 376 250 282 670 368 536 428 391 358 282 17 235 286 229 403 268 288 695 388 593 458 408 393 310 18 252 298 240 428 282 286 722 409 639 482 419 415 337 19 269 311 248 450 297 290 743 428 672 502 422 427 365 20 284 318 256 472 310 303 761 446 691 518 437 436 395 21 301 325 265 489 325 318 774 461 699 530 457 447 418 22 318 334 273 505 343 326 786 473 698 537 466 458 433 23 332 346 281 519 361 329 798 481 693 542 458 469 444 24 349 357 290 529 376 335 808 485 685 544 464 479 454 25 365 366 299 535 386 346 818 488 676 545 481 485 463 26 378 374 308 536 393 360 825 488 668 545 486 489 474 27 394 383 321 532 401 367 832 489 662 545 476 493 484 28 410 388 334 530 408 372 838 489 655 544 472 497 497 29 419 391 350 531 413 380 843 488 651 545 474 500 510 30 431 393 367 532 416 390 848 486 647 548 480 504 521 31 445 399 384 534 424 403 852 484 646 552 468 509 534 32 457 407 402 537 433 417 855 484 647 557 465 513 545 33 472 412 420 542 443 .427 858 484 649 562 476 519 553 34 486 422 437 546 453 431 861 486 653 566 486 524 561 35 498 432 455 552 464 438 863 487 658 567 495 530 570 36 511 436 474 556 471 453 865 489 663 566 492 538 576 37 525 444 493 560 478 464 867 492 666 566 505 549 583 38 535 450 510 562 487 477 868 496 669 565 511 560 588 39 548 462 529 564 496 495 869 500 668 566 508 573 595 40 560 476 546 568 504 503 868 506 664 568 515 581 601 41 570 490 566 574 510 509 865 510 657 569 522 585 611 42 582 505 588 582 515 512 861 512 649 570 523 587 626 43 590 518 612 593 516 514 856 510 639 568 523 589 644 44 596 534 637 605 521 513 850 504 634 567 535 598 666 45 606 542 663 618 536 524 842 499 633 569 545 614 691 46 615 548 691 634 553 549 834 498 637 574 543 642 716 47 628 563 723 652 575 562 825 507 64S 585 589 677 740 48 645 578 754 673 604 572 816 524 665 600 582 717 762 49 664 - 597 786 699 637 616 808 548 688 619 614 754 787 * These derived values agree with those for h in Table 78, p. 210. See footnote to that table. t Whites in the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, and the District of Columbia. FOREIGN COUNTRIES. OF DEATHS OUT OF 100,000 BOEN ALIVE. 215 Table 80 POPULATION AND DEATH STATISTICS, AND EXHIBITED HERE IN TABULAR FORM SO THAT A COMPARISON AT EACH AGE. Age. Australia: 1901-1910 * Denmark: 1906-1910 England: 1901-1910 * France: 1898-1903 Germany: 1901-1910 Holland: 1900-1909 India: 1901-1910 Italy: 1901-1910 * Japan: 1898-1903 Norway: 1901-1910 Sweden: 1901-1910 * Switzer- land: 1901-1910 * United States: 1901-1910 t 1 2 3 4 5 6 7 8 9 10 11 12 13 14 NUMBER OF DEATHS, d x . FEMALES. 50 688 637 820 726 674 663 800 577 715 640 619 795 812 51 711 678 859 755 720 697 791 609 745 662 645 834 844 52 744 712 906 785 770 727 781 642 777 685 656 882 887 53 780 751 959 817 811 762 770 673 811 711 696 931 942 54 823 784 1,019 850 853 792 759 702 848 738 750 989 1,001 55 870 800 1,082 889 907 830 749 735 887 767 773 1,050 1,068 58 923 832 1,146 934 971 895 739 778 929 800 804 1,124 1,135 57 980 885 1,208 989 1,039 962 729 837 976 835 843 1,202 1,196 58 1,051 942 1,265 1,068 1,108 1,015 720 911 1,027 873 900 1,287 1,247 59 1,128 1,011 1,321 1,131 1,179 1,091 711 995 1,081 917 932 1,371 1,303 60 1,214 1,097 1,375 1,204 1,256 1,189 703 1,085 1,139 967 1,003 1,456 1,356 61 1,303 1,187 1,431 1,277 1,348 1,281 694 1,178 1,201 1,025 1,059 1,548 1,414 62 1,395 1,275 1,491 1,351 1,451 1,363 684 1,272 1,264 1,090 1,112 1,651 1,484 63 1,491 1,373 1,546 1,422 1,547 1,450 674 1,358 1,330 1,161 1,200 1,763 1,562 64 1,588 1,481 1,598 1,493 1,638 1,545 663 1,435 1,396 1,237 1,280 1,872 1,634 65 1,686 1,594 1,650 1,564 1,724 1,633 651 1,513 1,462 1,316 1,364 1,974 1,705 66 1,786 1,703 1,715 1,637 1,809 1,732 638 1,602 1,527 1,397 1,448 2,063 1,770 67 1,888 1,828 1,795 1,722 1,896 1,843 623 1,704 1,589 1,481 1,555 2,142 1,831 68 1,994 1,953 1,897 1,813 1,982 1,959 608 1,818 1,646 1,567 1,661 2,219 1,890 69 2,109 2,062 2,013 1,905 2,051 2,061 590 1,931 1,699 1,656 1,762 2,287 1,946 70 2,236 2,189 2,124 1,992 2,115 2,134 570 2,034 1,745 1,750 1,892 2,345 1,998 71 2,363 2,300 2,218 2,072 2,186 2,213 548 2,119 1,783 1,849 1,960 2,385 2,044 72 2,484 2,353 2,277 2,139 2,242 2,310 525 2,180 1,811 1,954 2,147 2,409 2,081 73 2,582 2,413 2,304 2,185 2,262 2,395 500 2,208 1,828 2,062 2,205 2,422 2,106 74 2,649 2,499 2,305 2,211 2,267 2,421 472 2,204 1,833 2,170 2,286 2,417 2,120 75 2,682 2,569 2,283 2,217 2,261 2,430 441 2,178 1,817 2,268 2,443 2,387 2,122 76 2,681 2,639 2,244 2,201 2,219 2,457 409 2,136 1,787 2,350 2,508 2,322 2,109 77 2,650 2,729 2,192 2,158 2,154 2,455 374 2,081 1,742 2,412 2,625 2,231 2,078 78 2,594 2,733 2,121 2,091 2,073 2,413 340 2,013 1,683 2,448 2,539 2,115 2,037 79 2,516 2,681 2,033 1,998 1,951 2,356 299 1,922 1,610 2,459 2,623 1,986 1,986 80 2,421 2,655 1,932 1,876 1,809 2,257 261 1,797 1,524 2,447 2,596 1,842 1,934 81 2,307 2,550 1,819 1,719 1,675 2,116 222 1,635 1,424 2,416 2,551 1,683 1,856 82 2,178 2,391 1,697 1,556 1,535 1,970 184 1,444 1,313 2,366 2,435 1,509 1,739 83 2,036 2,239 1,569 1,385 1,374 1,830 147 1,244 1,193 2,294 2,339 1,328 1,592 84 1,887 2,028 1,434 1,216 1,203 1,668 114 1,048 1,067 2,192 2,230 1,145 1,445 85 1,732 1,778 1,291 1,041 1,033 1,472 84 865 938 2,059 2,007 968 1,297 86 1,572 1,584 1,141 853 869 1,276 59 699 808 1,897 1,809 804 1,144 87 1,400 1,419 984 692 712 1,095 39 552 681 1,711 1,593 657 986 88 1,219 1,267 832 556 567 918 24 424 561 1,515 1,360 528 835 89 1,038 1,080 688 443 440 740 13 317 449 1,321 1,141 416 696 90 91 92 93 94 95 96 97 98 99 100 863 704 558 431 323 234 165 113 72 47 28 556 439 336 251 183 130 91 61 41 27 18 349 273 211 162 123 92 69 50 37 27 19 334 248 179 126 87 58 38 24 15 9 626 507 414 308 217 137 71 29 6 2 7 3 1 1 229 159 106 67 39 22 11 5 3 1 350 263 191 133 89 55 33 18 9 4 2 1,135 958 792 636 493 368 267 188 128 86 57 924 735 584 441 317 235 162 100 61 40 24 316 230 161 110 77 52 33 21 12 6 3 569 457 357 272 202 147 102 71 47 32 20 * These derived values agree with those for lx in Table 78, p. 210. See footnote to that table. t Whites in the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, and the District of Columbia. 216 Table 81 UNITED STATES LIFE TABLES. FOREIGN COUNTRIES. MALES. COMPLETE TAKEN FROM THE PUBLISHED LIFE TABLES OF VARIOUS COUNTRIES, BASED ON THEIR OFFICIAL MAY BE MADE 1 jTustralia: 1901-1910 * Denmark: 1906-1910 * England: 1901-1910 France: 1898-190T Germany: 1901-1910 Holland: 1900-1909 * India: 1901-1910 Italy: 1901-1910 Japan: 1898-1903 Norway: 1901-1910 t Sweden: 1901-1910 Switzer- land: 1901-1910 United States: 1901-1910 X 2 3 4 5 6 7 8 9 10 11 12 13 14 MAI ES. COMPLETE EXPECTATION OF LIFE IN YEARS, f^. 55.20 54.9 48.53 45.74 44.82 51.0 22.59 44.24 43.97 54.84 54.53 49.25 49.32 1 59.96 61.5 55.68 53.59 55.12 58.2 30.72 52.05 51.11 58.66 59.06 56.08 55.48 2 60.04 61.5 57.00 54.43 56.39 59.3 32.76 54.95 52.04 58.75 59.43 56.32 56.19 3 59.45 60.9 56.92 54.47 56.24 59.3 34.03 55.68 52.41 58.25 59.08 55.88 55.97 4 58.71 60.2 56.49 54.11 55.77 58.9 34.73 55.66 52.31 57.62 58.54 55.24 55.46 5 57.91 59.4 55.90 53.57 55.15 58.3 35.01 55.32 51.90 56.92 57.90 54.52 54.82 6 57.08 58.6 55.21 52.91 54.44 57.6 34.99 54.74 51.31 56.17 57.19 53.75 54.11 7 56.21 57.7 54.42 52.17 53.67 56.8 34.76 54.01 50.60 55.38 56.43 52.92 53.34 8 55.33 56.8 53.59 51.39 52.86 56.0 34.38 53.19 49.84 54.58 55.66 52.08 52.54 9 54.43 55.9 52.71 50.58 52.02 55.1 33.90 52.32 49.05 53.76 54.86 51.22 51.71 10 53.53 55.1 51.81 49.75 51.16 54.3 33.36 51.44 48.23 52.92 54.03 50.34 50.86 11 52.63 54.2 50.91 48.89 50.28 53.4 32.77 50.55 47.38 52.08 53.21 49.45 49.99 12 51.72 53.2 50.00 48.03 49.40 52.5 32.16 49.68 46.53 51.23 52.36 48.56 49.11 13 50.82 52.3 49.09 47.16 48.50 51.6 31.54 48.83 45.68 50.37 51.51 47.65 48.24 14 49.92 51.4 48.20 46.31 47.60 50.7 30.93 47.99 44.84 49.52 50.65 46.75 47.37 15 49.03 50.5 47.31 45. 45 46.71 49.8 30.32 47.17 44.02 48.69 49.79 45.86 46.50 16 48.15 49.7 46.43 44.62 45. S4 48.9 29.72 46.36 43.23 47.88 48.95 44.98 45.65 17 47.28 48.8 45.57 43.81 44.99 48.1 29.13 45. 57 42.47 47.13 48. 14 44.13 44.81 18 46.43 48.0 44.71 43.03 44.16 47.3 28.56 44.78 41.74 46.43 47.36 43.30 43.99 19 45.58 47.1 43.85 42.27 43.35 46.5 28.00 44.02 41.03 45.77 46.61 42.49 43.18 20 44.74 46.3 43.01 41.53 42.56 45.7 27.46 43.27 40.35 45.16 45.88 41.70 42.39 21 43.90 45.5 42.17 40.82 41.77 44.9 26.92 42.53 39.69 44.57 45. IS 40.91 41.62 22 43.07 44.6 41.34 40.12 40.98 44.1 26.39 41.81 39.03 43.98 44.47 40.13 40.87 23 42.25 43.8 40.51 39.42 40.19 43.4 25.87 41.10 38.36 43.39 43.75 39.34 40.11. 24 41.42 43.0 39.68 38.73 39.39 42.6 25.36 40.38 37.70 42.80 43.04 38.55 39.35 25 40.60 42.2 38.86 39.03 38.59 41.8 24.86 39.66 37.02 42.18 42.31 37.76 38.59 26 39.78 41.4 38.03 37.30 37.78 41.0 24.37 38.93 36.33 41.55 41.57 36.97 37.83 27 38.96 40.5 37.21 36.57 36.98 40.2 23.88 38.19 35.62 40.90 40.83 36.18 37.07 28 38.15 39.7 36.39 35.83 36.17 39.4 23.39 37.45 34.90 40.24 40.08 35.39 36.31 29 37.33 38.9 35.57 35.10 35.36 38.6 22.92 36.69 34.18 39.56 39.33 34.60 35.55 30 36.52 38.0 34.76 34.35 34.55 37.8 22.44 35.94 33.44 38.86 38.57 33.80 34.80 31 35.71 37.2 33.95 33.63 33.74 36.9 21.97 35.17 32.71 38.15 37.80 33.01 34.05 32 34.90 36.4 33.15 32.89 32.93 36.1 21.51 34.41 31.96 37.43 37.03 32.22 33.31 33 34.09 35.5 32.36 32.16 32.12 35.3 21.05 33.64 31.22 36.71 36.25 31.43 32.58 34 33.29 34.7 31.57 31.44 31.32 34.4 20.60 32.87 30.48 35.97 35.46 30.65 31.85 35 32.49 33.9 30.79 30.71 30.53 33.6 20.16 32.09 29.73 35.24 34.68 29.87 31.12 36 31.69 33.1 30.02 30.00 29.74 32.8 19.72 31.32 28.99 34.49 33.90 29.09 30.40 37 30.90 32.2 29.25 29.28 28.95 32.0 19.29 30.54 28.24 33.75 33.11 28.32 29. 69 38 30.11 31.4 28.48 28.57 28.18 31.2 18.86 29.77 27.50 33.00 32.33 27.55 28.98 39 29.33 30.6 27.72 27.84 27.41 30.4 18.44 29.00 26.77 32.24 31.54 26.79 28.26 40 28.56 29.7 26.96 27.15 26.64 29.5 18.02 28.23 26.03 31.49 30.77 26.03 27.55 41 27.79 29.0 26.21 26. -14 25.89 28.7 17.61 27.47 25.30 30.73 30.00 25.29 26.83 42 27.03 28.2 25.47 25.74 25.14 27.9 17.19 26.71 24.57 29.97 29.23 24.55 26.12 43 26.27 27.4 24.72 25.04 24.40 27.2 16.78 25.95 23.85 29.22 28.46 23.81 25.41 44 25.52 26.7 23.99 24.34 23.66 26.4 16.38 25.20 23.13 28.46 27.70 23.09 24.70 45 24.78 25.9 23.27 23.64 22.94 25.6 15.97 24.45 22.42 27.70 26.93 22.37 24.01 46 24.04 25.1 22.55 22.96 22.22 24.8 15.57 23.70 21.72 26.95 26.18 21.66 23.32 47 23.32 24.4 21.84 22.28 21.51 24.0 15.17 22.95 21.02 26.19 25.42 20.96 22.64 48 22.59 23.6 21.14 21.60 20.81 23.3 14.77 22.20 20.33 25.44 24.67 20.26 21.96 49 21.88 22.9 20.44 20.93 20.11 22.5 14.37 21.47 19.64 24.70 23.91 19.57 21.27 * These values were copied to the nearest second decimal. Only the first decimal was shown in the tables lor Denmark and Holland, t See first footnote on p. 203. % Whites in the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey Indiana, Michigan, and the District of Columbia. ' *' FOREIGN COUNTRIES. EXPECTATION OF LIFE IN YEARS. 217 Table 81 POPULATION AND DEATH STATISTICS, AND EXHIBITED HERE IN TABULAR FORM SO THAT A COMPARISON AT EACH AGE. Age. Australia: Denmark: England: France: Germany: Holland: India: Italy : Japan: Norway: Sweden: Switzer- land: 1901-1910 United States : 1901-1910 t 1901-1910 1906-1910 * 1901-1910 1898-1903 1901-1910 1900-1909 * 1901-1910 1901-1910 1898-1903 1901-1910 t 1901-1910 1 2 3 i 5 6 7 8 9 10 11 12 13 14 COMPLETE EXPECTATION OF LIFE IN YEARS, e x . MALES. 50 21.16 22.1 19.76 20.26 19.43 21.8 13.97 20.73 18.97 23.96 23.17 18.90 20.59 51 20.46 21.4 19.08 19.59 18.76 21.0 13.58 20.01 18.30 23.22 22.43 18.23 19.90 52 19.75 20.7 18.42 18.93 18.09 20.3 13.18 19.29 17.65 22.49 21.70 17.58 19.21 53 19.05 19.9 17.76 18.27 17.44 19.5 12.78 18.58 17.00 21.76 20.97 16.93 18.53 54 18.36 19.2 17.12 17.61 16.80 18.8 12.38 17.88 16.36 21.04 20.25 16.30 17.87 55 17.67 18.5 16.48 16.95 16.16 18.1 11.99 17.18 15.73 20.32 19.54 15.68 17.21 56 16.99 17.8 15.86 16.30 15.54 17.4 11.59 16.48 15.11 19.60 18.84 15.07 16.58 57 16.31 17.2 15.25 15.66 14.93 16.7 11.19 15.79 14.51 18.89 18.13 14.46 15.96 58 15.65 16.5 14.65 15.03 14.32 16.1 10.79 15.10 13.91 18.19 17.43 13.87 15.35 59 14.99 15.9 14.07 14.42 13.72 15.4 10.40 14.43 13.33 17.49 16.74 13.29 14.76 60 14.35 15.2 13.49 13.81 13.14 14.7 10.00 13.78 12.76 16.79 16.06 12.73 14.17 61 13.72 14.6 12.93 13.22 12.56 14.1 9.61 13.14 12.21 16.11 15.38 12.18 13.59 62 13.09 13.9 12.38 12.64 12.00 13.4 9.21 12.52 11.67 15.44 14.73 11.64 13.02 63 12.49 13.3 11.84 12.07 11.46 12.8 8.82 11.92 11.14 14.78 14.07 11.11 12.47 64 11.89 12.7 11.31 11.51 10.92 12.2 8.43 11.32 10.63 14.14 13.44 10.59 11.93 65 11.31 12.1 10.80 10.96 10.40 11.6 8.04 10.74 10.14 13.51 12.81 10.09 11.40 66 10.74 11.5 10.29 10.42 9.89 11.1 7.66 10.16 9.66 12.90 12.19 9.60 10.89 67 10.19 10.9 9.79 9.90 9.39 10.5 7.28 9.60 9.19 12.30 11.58 9.12 10.39 68 9.66 10.4 9.31 9.39 8.91 10.0 6.90 9.05 8.74 11.71 11.00 8.66 9.90 69 9.16 9.8 8.84 8.89 8.45 9.4 6.53 8.53 8.31 11.14 10.42 8.21 9.42 70 8.67 9.3 8.39 8.42 7.99 8.9 6.17 8.02 7.89 10.57 9.85 7.78 8.96 71 8.21 8.8 7.95 7.96 7.55 8.5 5.81 7.54 7.48 10.02 9.31 7.36 8.49 72 7.77 8.3 7.54 7.52 7.13 8.0 5.46 7.08 7.09 9.49 8.78 6.96 8.04 73 7.35 7.8 7.14 7.11 6.72 7.5 5.12 6.64 6.71 8.97 8.26 6.56 7.61 74 6.95 7.4 6.76 6.71 6.34 7.1 4.79 6.22 6.35 8.47 7.76 6.18 7.19 75 6.58 6.9 6.41 6.34 5.97 6.7 4.47 5.82 6.00 7.98 7.29 5.81 6.79 76 6.23 6.5 6.07 5.99 5.62 6.3 4.16 5.43 5.66 7.52 6.84 5.46 6.42 77 5.89 6.1 5.74 5.67 5.29 5.9 3.86 5.05 5.33 7.08 6.40 5.13 6.06 78 5.57 5.7 5.44 5.37 4.97 5.6 3.57 4.69 5.02 6.65 5.98 4.82 5.72 79 5.26 5.4 5.14 5.11 4.67 5.2 3.30 4.36 4.72 6.25 5.59 4.53 5.39 80 4.96 5.1 4.86 4.87 4.38 4.9 3.04 4.06 4.44 5.86 5.22 4.27 5.07 81 4.68 4.8 4.58 4.64 4.11 4.6 2.79 3.79 4.17 5.50 4.87 4.03 4.77 82 4.40 4.3 4.30 4.44 3.85 4.3 2.56 3.54 3.90 5.16 4.53 3.80 4.50 83 4.14 4.1 4.03 4.24 3.61 4.0 2.34 3.31 3.66 4.84 4.22 3.58 4.25 84 3.89 3.9 3.78 4.06 3.39 3.7 2.13 3.10 3.42 4.54 3.92 3.37 4.01 85 3.65 3.7 3.53 3.91 3.18 3.5 1.94 2.90 3.19 4.26 3.66 3.18 3.79 86 3.43 3.4 3.31 3.78 2.99 3.3 1.77 2.71 2.98 4.00 3.41 2.98 3.59 87 3.22 3.0 3.10 3.66 2.81 3.0 1.62 2.52 2.77 3.76 3.19 2.81 3.40 88 3.01 2.8 2.90 3.54 2.64 2.8 1.45 2.34 2.58 3.53 2.97 2.65 3.22 89 2.82 2.7 2.72 3.41 2.49 2.5 1.33 2.17 2.39 3.31 2.77 2.51 3.06 90 2.64 2.6 2.06 3.29 2.35 2.2 1.23 2.01 2.22 3.11 2.60 2.38 2.90 91 92 93 94 95 96 97 98 99 100 2.47 2.31 2.16 2.02 1.88 1.76 1.63 1.50 1.35 MS 2.43 2.32 2.22 2.15 2.07 2.00 1.91 1.80 1.67 1.53 3.18 3.05 2.92 2.80 2.66 2.64 2.41 2.25 2.11 1.93 2.22 2.10 1.99 1.89 1.80 1.72 1.65 1.59 1.54 1.50 1.9 1.6 1.4 1.2 1.0 0.9 0.7 0.5 1.10 1.00 .50 1.85 1.70 1.56 1.43 1.29 1.17 1.00 .83 .50 2.05 1.90 1.75 1.62 1.48 1.37 1.23 1.07 .83 .50 2.91 2.73 2.55 2.39 2.24 2.09 1.95 1.81 1.66 1.50 2.45 2.30 2.16 2.02 1.89 1.80 1.75 1.65 1.51 1.45 2.25 2.12 1.96 1.80 1.63 1.48 1.33 1.23 1.10 1.00 2.75 2.60 2.47 2.34 2.21 2.09 1.98 1.87 1.77 1.66 * These values were copied to the nearest second decimal. Only the first decimal was shown in tables for Denmark and Holland. I wLte^n^he'oriSnafregistration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, and the District of Columbia. 218 Table 82 UNITED STATES LIFE TABLES. FOREIGN COUNTRIES. FEMALES. COMPLETE TAKEN FROM THE PUBLISHED LIFE TABLES OF VARIOUS COUNTRIES, BASED ON THEIR OFFICIAL MAY BE MADE Age. Australia* 1901-1910 * Denmark: 1906-1910 * England: 1901-1910 France: 1898-1903 Germany: 1901-1910 Holland: 1900-1909 * India: 1901-1910 Italy: 1901-1910 Japan: 1898-1903 Norway: 1901-1910 t Sweden: 1901-1910 Switzer- land: 1901-1910 United States: 1901-1910 t 1 2 3 & 5 6 7 8 9 10 11 12 13 11 FEM ALES. COMPLETE EXPECTATION OF LIFE IN YEARS, e x . 58.84 57.9 52.38 49.13 48.33 53.4 23.31 44.83 44.85 57.72 56.98 52.15 52.54 1 62.89 63.2 58.31 55.84 57.20 59.5 31.49 51.78 51.17 60.81 60.64 57.71 57.70 2 62.95 63.2 59.58 56.63 58.47 60.6 33.42 54.72 52.06 60.84 60.95 57.97 58.32 3 62.34 62.6 59.49 56.63 58.33 60.5 34.58 55.51 52.44 60.39 60.58 57.52 58.05 4 61.60 61.9 59.09 56.28 57.87 60.0 35.19 55.51 52.36 59.76 60.03 56.88 57.53 5 60.80 61.1 58.53 55.75 57.27 59.4 35.40 55.20 51.97 59.06 59.40 56.15 56.89 6 59.95 60.2 57.85 55.12 56.57 58.7 35.34 54.67 51.39 58.31 58.71 55.38 56.17 7 59.08 59.4 57.09 54.41 55.82 57.9 35.10 53.99 50.69 57.53 57.96 54.55 55.40 8 58.19 58.5 56.27 53.65 55.03 57.1 34.73 53.21 49.94 56.73 57.18 53.71 54.59 9 57.29 57.6 55.41 52.85 54.20 56.2 34.26 52.38 49.15 55.91 56.39 52.86 53.75 10 56.39 56.7 54.53 52.03 53.35 55.4 33.74 51.53 48.34 55.09 55.58 51.98 52.89 11 55.47 55.9 53.64 51.20 52.49 54.5 33.17 50. 68 47.52 54.27 54. 75 51.10 52.01 12 54.56 55.0 52.74 50.36 51.61 53.6 32.58 49.84 46.70 53.44 53.93 50.21 51.13 13 53. 66 54.1 51.85 49.53 50.74 52.7 31.98 49.02 45.90 52.63 53.10 49.33 50.25 14 52.76 53.2 50.96 48.71 49.87 51.9 31.38 48.22 45.12 51.83 52.29 48.47 49.38 15 51.86 52.4 50.08 47.90 49.00 51.0 30.78 47.43 44.36 51.05 51.48 47.62 48.51 16 50.97 51.5 49.21 47.11 48.15 50.2 30.19 46.66 43.65 50.28 50.70 46.80 47.66 17 50.10 50.7 48.35 46.33 47.31 49.3 29.61 45.90 42.96 49.53 49.93 46.01 46.82 18 49.23 49.8 47.49 45.58 46.48 48.5 29.05 45.16 42.31 48.79 49.17 45.23 46.00 19 48.37 49.0 46.63 44.83 45.65 47.7 28.50 44.42 41.69 48.07 48.42 44.45 45.19 20 47.52 48.2 45.77 44.02 44.84 46.9 27.96 43.69 41.06 47.35 47.66 43.69 44.39 21 46.68 47.4 44.92 43.37 44.02 46.0 27.44 42.98 40.46 46.64 46.91 42.92 43.61 22 45.84 46.6 44.07 42.64 43.22 45.2 26.92 42.26 39.85 45.93 46.17 42.16 42.83 23 45.01 45.8 43.22 41.92 42.42 44.4 26.41 41.56 39.25 45.23 45.43 41.40 42.06 24 44.18 44.9 42.38 41.22 41.63 43.6 25.90 40.85 38.64 44.52 44.68 40.64 41.30 25 43.36 44.1 41.54 40.51 40.84 42.8 25.40 40.14 38.02 43.81 43.93 39.89 40.53 28 42.55 43.3 40.69 39.81 40.06 42.0 24.91 39.44 37.40 43.10 43.20 39.13 39.77 27 41.73 42.5 39.86 39.09 39.28 41.2 24.43 38.73 36.77 42.39 42.46 38.37 39.01 28 40.93 41.8 39.02 38.37 38.50 40.4 23.94 38.01 36.13 41.68 41.71 37.62 38.25 29 40.13 40.9 38.19 37.66 37.72 39.6 23.47 37.30 35.49 40.% 40.95 36.86 37.50 30 39.33 40.1 37.36 36.93 36.94 38.8 22.99 36.58 34.84 " 40.24 40.20 36.10 36.75 31 38.53 39.3 36.54 36.21 36.16 38.0 22.53 35.85 34.18 39.51 39.44 35.33 36.00 32 37.74 38.5 35.73 35.49 35.38 37.2 22.06 35.13 33.52 38.79 38.68 34.57 35.25 33 36.94 37.7 34.92 34.75 34.60 36.4 21.60 34.39 32.86 38.06 37.91 33.81 34.51 34 36.16 36.9 34.11 34.02 33.82 35.6 21.14 33.66 32.20 37.34 37.14 33.04 33.76 35 35.37 36.1 33.31 33.29 33.04 34.8 20.69 32.92 31.54 36.61 36.38 32.27 33.01 36 34.59 35.3 32.52 32.56 32.27 34.0 20.24 32.18 30.87 35.88 35.61 31.50 32.27 37 33.81 34.5 31.72 31.82 31.49 33.2 19.80 31.43 ' 30.21 35.15 34. S4 30.73 31.52 38 33.03 33.7 30.94 31.08 30.72 32.4 19.36 30.68 29.54 34.41 34.07 29.96 30.78 39 32.25 32.9- 30.15 30.35 29.94 31.6 18.92 29.93 28.87 33.67 33.31 29.20 30.03 40 31.47 32.0 29.37 29.60 29.16 30.8 18.49 29.18 28.19 32.93 32.53 28.43 29.28 41 30.70 31.2 28.59 28.85 28.39 30.1 18.06 28.43 27.51 32.18 31.76 27.66 28.52 42 29.92 30.4 27.82 28.11 27.61 29.3 17.64 27.68 26.82 31.43 30.98 26.89 27.77 43 29.15 29.6 27.05 27.36 26.83 28.5 17.22 26.92 26.13 30.68 30.21 26.11 27.02 44 28. 37 28.9 26.29 26.61 26.04 27.7 16.80 26.15 25.42 29.92 29.42 25.33 26.27 45 27.59 28.1 25.53 25.86 25.25 •26.9 16.38 25.38 24.71 29.15 28.64 24.55 25.53 46 26.81 27.3 24.77 25.11 24.47 26.1 15.96 24.60 23.99 28.38 27.86 23.77 24.79 47 26.03 26.5 24.02 24.36 23.68 25.3 15.54 23.82 23.27 27.62 27.07 23.00 24.05 48 25.25 25.7 23.28 23.62 22.90 24.5 15.12 23.03 22.54 26.85 26.30 22.23 23.32 49 24.47 24.9 22.54 22.88 22.12 23.7 14.70 22.25 21.82 26.08 25.52 21.47 22.59 * These values were copied to the nearest second decimal. Only the first decimal was shown in the tables for Denmark and Holland, f See first footnote on p. 203. J "Whites in the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, andthe District of Columbia. FOREIGN COUNTRIES. EXPECTATION OF LIFE IN YEARS. 219 Table 82 POPULATION AND DEATH STATISTICS, AND EXHIBITED HERE IN TABULAR FORM SO THAT A COMPARISON AT EACH AGE. Age. Australia: 1901-1910 * Denmark: 1906-1910 * England: 1901-1910 France: 1898-1903 Germany: 1901-1910 Holland: 1900-1909 * India: 1901-1910 Italy: 1901-1910 Japan: 1898-1903 Norway: 1901-1910 t Sweden: 1901-1910 Switzer- land: 1901-1910 United States : 1901-1910 t 1 2 3 •t 5 6 7 8 9 10 11 13 13 14 COMPLETE EXPECTATION OP LIFE IN YEARS, e x . FEMALES. 50 23.69 24.1 21.81 22. 14 21.35 22.9 14.28 21.47 21.11 25.31 24.74 20.71 21.86 51 22.91 23.3 21.08 21.41 20.59 22.2 13.87 20.69 20.39 24.55 23.97 19.97 21.14 52 22.14 22.5 20.36 20.67 19.84 21.4 13.45 19.93 19.69 23.79 23.19 19.22 20.42 53 21.37 22.0 19.65 19.95 19.10 20.6 13.03 19.16 18.99 23.03 22.42 18.49 19.71 54 20.61 21.0 18.95 19.23 18.36 19.9 12.62 18.41 18.30 22.28 21.65 17.77 19.01 55 19.85 20. 2 v 18.27 18.52 17.64 19.1 12.20 17.65 17.61 21.53 20.90 17.05 18.33 56 19.10 19.4 17.59 17.81 16.92 18.4 11.78 16.91 16.94 20.78 20.14 16.35 17.65 57 18.36 18.7 16.93 17.11 16.21 17.6 11.36 16.16 16.27 20.04 19.39 15.66 17.00 58 17.62 17.9 16.28 16.41 15.52 16.9 10.94 15.43 15.61 19.30 18.65 14.98 16.35 59 16.90 17.2 15.64 15.74 14.84 16.2 10.53 14.72 14.96 18.57 17.92 14.31 15.71 60 16.20 16.5 16.01 15.08 14.17 15.5 10.11 14.02 14.32 17.85 17.19 13.67 15.09 61 15.50 15.7 14.39 14.43 13.52 14.8 9.70 13.35 13.70 17.13 16.47 13.03 14.47 62 14.82 15.1 13.77 13.79 12.88 14.2 9.30 12.69 13.09 16.43 15.76 12.41 13.86 63 14.16 14.5 13.17 13.32 12.27 13.5 8.89 12.05 12.49 15.73 15.05 11.81 13.27 64 13.51 13.7 12.58 12.56 11.67 12.9 8.49 11.42 11.91 15.05 14.37 11.23 12.69 65 12.88 13.0 11.99 11.97 11.09 12.3 8.10 10.81 11.35 14.38 13.69 10.67 12.13 66 12.26 12.4 11.41 11.38 10.53 11.6 7.71 10.21 10.80 13.72 13.03 10.13 11.58 67 11.66 11.8 10.84 10.81 9.98 11.1 7.33 9.63 10.26 13.08 12.38 9.61 11.04 68 11.07 11.2 10.29 10.26 9.45 10.5 6.95 9.07 9.75 12.45 11.74 9.11 10.52 69 10.50 10.6 9.76 9.73 8.95 9.9 6.58 8.53 9.25 11.83 11.13 8.62 10.01 70 9.96 10.0 9.25 9.21 8.45 9.4 6.22 8.02 8.77 11.23 10.53 8.15 9.52 71 9.43 9.5 8.77 8.73 7.98 8.9 5.86 7.54 8.30 10.64 9.95 7.70 9.04 72 8.93 8.9 8.32 8.26 7.53 8.4 5.51 7.08 7.85 10.08 9.38 7.27 8.58 73 8.46 8.5 7.90 7.82 7.10 7.9 5.17 6.64 7.42 9.53 8.84 6.86 8.13 74 8.01 8.0 7.49 7.40 6.69 7.5 4.84 6.22 7.01 9.00 8.32 6.46 7.70 75 7.59 7.5 7.10 7.00 6.30 7.0 4.52 5.83 6.61 8.49 7.81 6.09 7.29 76 7.18 7.1 6.73 6.63 5.94 6.6 4.20 5.44 6.23 8.01 7.33 5.74 6.88 77 6.80 " 6.6 6.36 6.28 5.59 6.2 3.90 5.08 5.86 7.55 6.87 5.41 6.50 78 6.43 .6.2 6.02 5.96 5.26 5.9 3.61 4.73 5.51 7.11 6.45 5.09 6.13 79 6.07 5.8 5.68 5.66 4.95 5.5 3.33 4.40 5.18 6.69 6.03 4.79 5.77 80 5.73 5.5 5.36 5.38 4.65 5.2 3.06 4.11 4.85 6.29 5.64 4.51 5.43 81 5.40 5.2 5.05 5.14 4.36 4.9 2.81 3.84 4.55 5.90 5.27 4.24 5.12 82 5.08 4.9 4.75 4.91 4.09 4.6 2.57 3.59 4.25 5.54 4.93 4.00 4.83 83 4.77 4.6 4.47 4.71 3.84 4.3 2.34 3.36 3.97 5.19 4.60 3.76 4.56 84 4.47 4.3 4.20 4.53 3.61 4.0 2.12 3.14 3.70 4.87 4.29 3.55 4.30 85 4.19 4.0 3.94 4.39 3.40 3.7 1.93 2.94 3.45 4.57 4.02 3.34 4.05 86 3.92 3.8 3.71 4.27 3.20 3.5 1.74 2.74 3.21 4.29 3.76 3.14 3.83 87 3.66 3.5 3.49 4.16 3.03 3.2 1.56 2.54 2.98 4.03 3.52 2.95 3.62 88 3.42 3.3 3.30 4.05 2.87 3.0 1.40 2.36 2.76 3.78 3.30 2.77 3.42 89 3.20 3.1 3.11 3.94 2.73 2.7 1.24 2.18 2.56 3.54 3.10 2.60 3.23 90 2.99 2.9 2.94 3.84 2.59 2.4 1.10 2.01 2.36 3.31 2.91 2.45 3.05 91 92 93 94 95 96 97 98 99 100 2.79 2.60 2.43 2.26 2.10 1.94 1.78 1.62 1.44 1.24 2.79 2.66 2.53 2.42 2.32 2.22 2.12 2.01 1.91 1.80 3.74 3.64 3.53 3.43 3.33 3.21 3.09 2.94 2.78 2.59 2.47 2.36 2.26 2.17 2.10 2.03 1.98 ■ 1.93 1.90 1.87 2.2 1.9 1.6 1.4 1.1 0.9 0.8 0.7 0.5 .96 .84 .72 1.85 1.70 1.56 1.44 1.31 1.20 1.06 .75 .50 2.18 2.00 1.84 1.68 1.55 1.41 1.29 1.19 1.07 .83 3.10 2.90 2.72 2.57 2.43 2.30 2.18 2.07 1.94 1.81 2.72 2.54 2.39 2.25 2.10 2.00 1.95 1.89 1.79 1.70 2.33 2.21 2.08 1.92 1.76 1.62 1.45 1.33 1.23 1.10 2.89 2.74 2.60 2.48 2.37 2.27 2.17 2.08 1.99 1.90 * These values were copied to the nearest second decimal. Only the first decimal was shown in the tables for Denmark and Holland, f See first footnote on p. 203. J Whites in the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, and the District of Columbia. 220 Table 83 UNITED STATES LIFE TABLES. FOREIGN COUNTRIES. MALES. TAKEN PROM THE PUBLISHED LIFE TABLES OP VARIOUS COUNTRIES,* BASED ON THEIR OFFICIAL MAY BE MADE Age. Australia: 1901-1910 ■Denmark: 1906-1910 England: 1901-1910 France: 1898-1903 Germany: 1901-1910 Holland: 1900-1909 India: 1901-1910 Italy: 1901-1910 Japan: 1898-1903 Norway: 1901-1910 Sweden: 1901-1910 Switzer- land: 1901-1910 United States: 1901-1910 t 1 2 3 4 5 6 7 8 9 10 11 12 13 li MAL ES. MEASURE OF VITALITY, X x . 10.02 7.79 6.43 5.63 4.44 6.62 2.95 5.46 5.88 11.78 10.30 6.73 7.14 1 55.67 59.69 24.26 29.01 24.58 27.63 10.47 13.71 26.63 53.98 43.42 44.99 32.54 2 147.88 146.56 62.19 52.37 66.50 59.57 14.72 31.97 38.10 115.55 91.21 101. 76 72.17 3 227.03 223.16 99.31 83.43 105. 01 108.63 20.20 56.87 58.31 156.88 126. 62 152. 89 113. 19 4 285.79 315.00 134. 55 115. 94 144. 32 152. 48 27.23 84.78 88.88 193. 44 163.38 192. 74 154.12 5 355. 54 350.24 183.85 157.09 189.30 201. 12 35.82 129. 76 126. 59 227. 84 198. 79 242.06 190. 21 6 425.54 396.63 250.83 196. 94 234.60 252. 17 45.55 200.21 170.54 258.26 228.99 305. 95 225.99 7 478. 26 436.47 335. 62 232.25 280.06 303. 05 55.90 300.32 210. 16 283.12 249. 30 339.17 265. 52 8 510. 98 480.06 429.19 269. 74 330. 92 356.56 65.26 404.35 242.19 301.68 282.08 373. 90 309.03 9 541.89 520.50 508.19 303. 07 372. 07 404. 86 73.70 457. 71 273.82 319.50 308. 73 404. 49 350.96 10 558.35 553.71 549.77 329.69 410. 95 442.48 79.71 442.51 301. 48 334. 52 309.98 445. 66 381.52 11 557.35 563.85 546.07 348. 41 445.21 479.21 ■ 83.12 390.51 315. 78 348. 33 337.46 476.08 397. 49 12 542.34 562.85 512. 01 352.29 473. 27 496. 39 83.25 335. 91 314. 78 351. 59 356. 44 492. 48 394.54 13 503.32 540.08 466. 69 340. 15 466.17 483.14 81.55 294.38 281.52 336. 82 361.58 485.55 373. 28 14 445.00 480.16 421. 51 307. 13 419. 15 438. 76 78.54 263.66 241. 03 298.32 351. 48 437. 10 344.85 15 391.23 402. 69 382.54 265. 76 361. 34 383.79 74.92 242.63 209. 79 244. 41 310. 03 371. 42 313. 91 16 356.04 356.81 350.09 228.14 305.07 332. 01 71.06 225.23 180.82 194. 30 257.28 304.13 280.67 17 328.96 330.26 323.59 197. 93 261. 67 283.65 67.45 209.33 157.52 157.50 220. 68 254.63 250.32 18 301.17 303.80 300.99 174.88 228.76 239.56 63.88 191. 56 139. 78 133.29 187. 15 222. 31 224. 34 19 285.95 281.06 281.15 156.37 207. 07 209.82 61.04 175. 00 127. 61 117.64 167. 79 203.06 201. 94 20 269. 45 258.01 263.78 142.54 197. 95 196. 95 58.57 160.86 119. 96 109. 78 155. 60 193. 10 182. 93 21 255.37 246. 89 249.58 132.66 196. 95 193. 95 56.35 150.95 115. 81 106. 78 152. 55 188.39 170. 28 22 246. 85 237.27 238.19 127. 65 197. 62 194. 94 54.26 144.79 114. 25 106. 05 154.17 186. 49 165. 62 23 238.79 230.22 230.12 127. 34 198. 31 196. 48 52.31 142.56 114. 37 107. 32 153.77 185.05 163.91 24 229. 87 238. 73 224. 70 129.36 196. 74 198.60 50.47 143.09 116. 27 109.86 156.08 182. 30 161. 86 25 222. 69 247. 26 219. 79 132. 51 194.63 203.00 48.43 145.54 118. 91 113. 43 158.85 179. 17 160.18 26 214. 72 243. 26 214. 10 135.64 192.54 207. 67 46.96 148. 14 121. 76 117. 36 158.81 174. 88 157.50 27 208.81 240. 07 206. 34 135. 97 191.00 209.61 45.74 149. 51 124. 60 121. 30 162. 10 170. 73 152. 95 28 202. 12 236. 92 196. 67 133. 91 188.41 209. 81 44.52 149. 55 126. 19 125. 23 162. 46 166. 71 146. 81 29 198. 16 232. 45 186. 30 130. 85 183.81 208. 21 43.26 149. 94 126. 89 128.65 162. 49 163.89 141.58 30 192. 45 222. 91 176. 06 126. 67 179. 37 210. 21 42.00 149.29 126.62 131. 67 164.98 160.77 136. 36 31 184.81 215. 78 166.50 122. 43 174. 62 214. 18 40.52 148.63 125. 38 134. 19 164.34 157. 04 130. 70 32 178. 45 208. 45 157.83 117. 75 168.73 211. 30 39.15 147.29 123. 18 135.63 165.13 150.89 124.95 33 171. 67 200.98 150.06 113. 71 160.34 201. 42 37.83 145.60 120. 79 136. 37 165. 95 144. 52 119. 36 34 165.99 193. 94 142. 87 109. 47 151. 20 192. 29 36.62 143.60 117. 77 136. 38 164.22 138. 02 114. 14 35 157. 35 188.66 136. 07 105. 62 142. 90 185. 77 35.46 141. 29 114.63 135. 63 156.65 132. 21 108. 90 36 150.29 182. 27 129.60 101. 94 135. 61 178. 22 34.34 137. 76 111. 18 134.63 155. 98 126. 30 104. 95 37 142.92 172.60 123.37 98.57 128. 11 170. 73 33.34 133. 74 107. 29 133. 38 152. 39 120. 17 102. 08 38 135. 15 153.40 117.55 95.92 120. 33 163.35 32.30 128.76 103. 57 131. 89 147.68 113. 36 100.04 39 128.04 154.04 112. 13 93.19 114.11 154.38 31.37 123. 02 99.68 129.93 139. 57 107. 30 97.74 40 122. 10 144.41 106. 89 90.02 107. 99 146. 81 30.48 117. 42 95.66 127. 98 131. 42 101. 27 95.62 41 115. 83 135. 25 101. 69 86.71 101. 51 140. 41 29.58 112. 19 91.43 125. 37 128.06 95.87 93.01 42 109.40 127.03 96.39 83.20 95.46 134. 15 28.75 107. 29 87.44 122. 60 123. 92 90.39 89.10 43 103.06 119. 78 91.15 79.74 90.48 127.10 27.94 103. 42 83.30 119.05 119. 96 85.13 84.73 44 97.27 111. 94 86.12 76.26 8.5. 36 118. 0.5 27.20 99.91 7X.98 115. 43 116.55 80.21 80.33 45 91.83 106. 15 81.23 72.87 79.89 110. 94 26.39 96. 54 74.76 111. 57 107. 73 75.95 75.86 46 87.04 102. 10 76.54 69.48 75.30 105. 85 25.67 92. 84 70.73 107.53 105. 57 72.06 72.15 47 82.49 97.98 71.99 66.35 71.15 100. 14 24.97 88.45 66.74 103. IS 99.45 68.13 69.84 48 78.89 93.69 67.70 63.46 66.58 93.77 24.24 83.56 62.88 98.77 100.84 63.87 68.29 49 74.81 89.18 63.68 60.77 62.47 88.98 23.56 78.58 59.30 94.06 91.12 59.60 66.53 * See second footnote on p. 203. t Whites in the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, and the District of Columbia. FOREIGN COUNTRIES. MEASURE OF VITALITY.* 221 Table 83 POPULATION AND DEATH STATISTICS, AND EXHIBITED HERE IN TABULAR FORM SO THAT A COMPARISON AT EACH AGE. Age. A.OSTRALIA: 1901-1910 Denmark: 1906-1910 England: 1901-1910 France: 1898-1903 Germany: 1901-1910 Holland: 1900-1909 India: 1901-1910 Italy: 1901-1910 Japan: 1898-1903 Norway: 1901-1910 Sweden: 1901-1910 Switzer- land: 1901-1910 United States: 1901-1910 t 1 2 3 4 S 6 7 8 9 10 11 12 13 14 MEASURE OF VITALITY, X x . MALES. 50 71.24 83.70 59.83 58.32 58.56 84.42 22.88 73.81 55.85 89.52 88.41 55.44 64.94 51 67.86 78.51 56.13 55.90 54.79 79.76 22.22 69.34 52.52 85.17 81.94 51.65 62.61 52 64.49 73.19 52.54 53.63 51.31 74.70 21.53 65.22 49.23 80.88 77.95 48.30 58.90 53 61.19 67.95 49.11 51.28 48.19 69.04 20.89 61.80 46.21 77.17 73.78 45.13 54.52 54 57.82 62.68 45.88 48.73 45.07 63.58 20.22 58.86 43.20 73.58 68.72 42.32 50.38 55 54.57 58.08 42.83 45.95 41.92 58.78 19.54 55.88 40.36 70.10 65.03 39.75 46.28 56 51.22 53.74 39.96 43.01 39.31 54.84 18.90 52.60 37.63 66.67 63.22 37.25 42.63 57 47.80 50.06 37.26 39.96 37.06 50.95 18.21 48.81 35.02 63.16 59.63 34.71 39.79 58 44.34 46.19 34.72 37.07 34.73 47.36 17.54 44.75 32.54 59.50 55.37 32.16 37.40 59 41.17 43.48 32.36 34.41 32.41 44.00 16.89 40.73 30.22 55.65 51.12 29.82 35.12 60 38.21 41.36 30.16 31.93 30.18 40.66 16.21 37.07 28.02 51. 76 47.91 27.72 32.95 61 35.35 38.60 28.11 29.66 28.00 38.06 15.52 33.78 25.96 47.90 43.18 25.90 30.81 62 32.71 35.93 26.20 27.55 25.90 34.89 14.82 30.91 24.04 44.14 42.72 24.17 28.65 63 30.21 33.42 24.48 25.63 24.00 31.55 14.14 28.53 22.24 40.58 37.64 22.53 26.50 64 27.77 31.21 22.92 23.81 22.26 28.95 13.45 26.52 20.57 37.27 35.40 20.88 24.56 65 25.42 28.88 21.44 22.07 20.75 26.38 12.75 24.61 19.02 34.22 32.79 19.34 22.79 66 23.14 26.50 19.99 20.36 19.21 24.05 12.04 22.65 17.61 31.48 30.53 17.86 21.22 67 21.03 24.23 18.54 18.71 17.64 22.20 11.36 20.60 16.30 29.04 26.87 16.50 19.82 68 19.08 22.16 17.09 17.12 16.26 20.37 10.67 18.57 15.09 26.83 25.35 15.24 18.54 69 17.32 20.14 15.70 15.57 15.07 18.55 9.97 16.70 13.97 24.81 23.33 14.08 17.32 70 15.73 18.15 14.41 14.14 13.92 16.91 9.34 15.01 12.94 22.89 21.05 13.02 16.19 7.1 14.29 16.68 13.22 12.83 12.73 15.60 8.67 13.51 11.96 21.02 19.29 12.07 15.05 72 12.99 15.54 12.16 11.66 11.60 14.21 8.02 12.19 11.08 19.22 17.52 11.17 13.86 73 11.81 14.31 11.17 10.65 10.62 12.84 7.42 11.08 10.26 17.50 16.01 10.31 12.70 74 10.78 13.08 10.26 9.59 9.74 11.72 6.82 10.13 9.52 15.90 14.33 9.48 11.61 75 9.91 11.88 9.44 8.70 8.90 10.71 6.26 9.24 8.80 14.44 12.91 8.68 10.60 76 9.15 10.71 8.70 7.88 8.17 9.75 5.72 8.40 8.14 13.13 11.84 7.91 9.70 77 8.46 9.54 8.06 7.13 7.52 8.92 5.22 7.59 7.52 11.93 10.63 7.19 8.96 78 7.84 8.58 7.50 6.45 6.90 8.24 4.72 6.78 6.95 10.83 9.40 6.54 8.30 79 7.27 7.82 7.01 5.89 6.34 7.47 4.28 6.03 6.41 9.82 8.64 5.98 7.64 80 6.75 7.08 6.56 5.46 5.83 6.80 3.87 5.39 5.92 8.90 7.78 5.49 6.98 81 6.27 6.43 6.12 5.13 5.35 6.25 3.48 4.86 5.46 8.08 7.13 5.08 6.38 82 5.80 5.89 5.69 4.80 4.91 5.76 3.13 4.43 5.03 7.34 6.33 4.71 5.87 83 5.35 5.38 5.25 4.44 4.51 5.27 2.82 4.08 4.64 6.69 5.78 4.39 5.41 84 4.94 5.00 4.82 4.08 4.14 4.81 2.52 3.76 4.27 6.11 5.15 4.09 4.99 85 4.58 4.72 4.42 3.84 3.82 4.40 2.23 3.48 3.93 5.59 4.70 3.81 4.63 86 4.24 4.45 4.06 3.68 3.53 4.11 2.01 3.21 3.61 5.13 4.25 3.52 4.31 87 3.93 3.96 3.73 3.53 3.27 3.86 1.83 2.96 3.32 4.73 3.94 3.24 4.02 88 3.64 3.39 3.43 3.39 3.03 3.60 1.60 2.73 3.04 4.37 3.58 3.00 3.77 89 3.36 3.05 3.14 3.25 2.82 3.35 1.42 2.50 2.79 4.04 3.21 2.80 3.54 90 91 92 93 94 95 96 97 98 99 100 3.11 2.87 2.66 2.46 2.29 2.12 1.98 1.85 1.72 1.58 1.40 2.88 2.66 2.50 2.37 2.28 2.20 2.15 2.08 1.99 1.89 1.73 3.10 2.98 2.85 2.71 2.57 2.40 2.26 2.18 1.96 1.88 1.70 2.62 2.46 2.29 2.16 2.03 1.92 1.81 1.73 1.65 1.57 2.95 2.36 1.94 1.63 1.3? 1.16 .92 .80 .50 1.33 1.17 1.50 .50 2.29 2.08 1.90 1.72 1.59 1.40 1.30 1.10 1.00 .50 2.56 2.33 2.14 1.94 1.80 1.61 1.50 1.38 1.25 1.00 .50 3.74 3.46 3.20 2.95 2.73 2.54 2.36 2.19 2.03 1.88 1.68 2.98 2.79 2.57 2.45 2.21 2.02 1.88 1.89 1.83 1.58 1.52 2.66 2.52 2.42 2.23 2.06 1.84 1.65 1.42 1.33 1.17 3.32 3.12 2.94 2.76 2.60 2.44 2.30 2.16 2.07 1.91 1.79 * See second footnote on p. 203. t Whites in the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, and the District of Columbia. 222 Table 84 UNITED STATES LIFE TABLES. FOREIGN COUNTRIES. FEMALES. TAKEN FROM THE PUBLISHED LIFE TABLES OF VARIOUS COUNTRIES,* BASED ON THEIR OFFICIAL MAY BE MADE Age. Australia: 1901-1910 Denmark: 190r,-1910 England: 1901-1910 France: 1898-1903 Germany: 1901-1910 Holland: 1900-1909 India: 1901-1910 Italy: 1901-1910 Japan: 1898-1903 Nceway: 190i-1910 Sweden: 1901-1910 Switzer- land: 1901-1910 United States: 1901-1910 t 1 2 3 4 5 6 7 8 9 10 11 12 13 14 FEM ALES. MEASURE OF VITALITY, \ x . 12.07 9.73 8.02 6.83 5.37 8.00 3.01 6.07 6.60 14.47 12.66 8.38 8.79 1 59.58 62.03 26.07 31.08 25.50 28.73 11.10 13.51 27.29 59.17 46.64 45.77 35.88 2 - 158.58 158. 61 65.01 56.50 67.85 63.14 15.73 30.89 37.93 110. 18 96.44 105. 38 78.77 3 242.60 226. 31 99.01 85.97 107. 61 121. 41 21.68 55.39 57.24 161. 29 131. 32 159. 36 120.29 4 307. 32 312.09 133.24 114.84 145. 59 167. 55 29.18 79.91 85.10 203. 03 162. 49 206. 94 163.30 5 387. 70 388. 65 180. 15 153. 71 188. 12 215. 40 37.62 117.23 122. 87 233.06 193. 11 246.03 199. 66 6 468. 21 427. 60 242.43 189. 46 227. 76 265. 87 46.65 171. 18 167. 33 260.54 228.82 312. 08 240.20 7 522. 24 448.62 318. 54 224.23 267.29 316. 09 55.76 240.82 207. 14 285.38 263.69 339.98 286. 81 8 571. 73 464. 39 399.36 257. 48 313. 50 364. 41 64.37 309. 66 236.75 303. 89 272. 59 373. 68 339. 35 9 610. 12 476. 14 466. 49 285.34 3.56. 58 405. 05 71.17 347.31 254.65 313. 65 301. 93 409.09 389. 02 10 630.89 480. 42 502. 96 304.21 390. 45 439.04 77.10 344.65 265. 16 312. 65 307. 36 442.67 423.70 11 612. 38 471. 55 504.17 309.22 410. 65 450. 22 80.50 313. 59 259. 63 303.04 315. 35 446.40 436.06 12 571. 65 453. 20 481. 73 298. 75 414. 15 437. 06 81.06 277. 40 236.70 282. 52 312. 06 414. 35 426. 08 13 542.44 431.73 449. 18 274. 57 393. 66 407. 40 80.19 245.84 207.64 260. 47 280.42 364.34 398. 36 14 498. 34 393. 14 416. 20 247.31 362. 27 357. 57 77.54 221.84 179. 32 238.11 261.39 307.88 362. 30 15 458. 24 341.88 387. 35 223.41 330. 86 310. 90 74.27 204.21 156. 16 217. 95 238.40 262. 00 322.84 16 409.96 314. 43 364.06 204.03 298.14 283.48 70.63 191.03 137. 73 201.20 216. 11 229.59 289.84 17 370. 63 296.97 345. 34 189. 39 277. 15 276. 59 67.11 180.21 123.54 187. 06 206. 12 208.18 262. 70 18 344.66 284.03 330.23 177. 36 262. 42 277. 52 63.62 169. 98 113. 68 176. 77 199. 72 196. 17 240.70 19 321. 91 271.18 317. 81 167. 71 248.19 272.70 60.83 161.46 107. 13 168. 7.5 197. 31 189. 68 221.27 20 303.93 264.22 306.78 158. 92 236.80 260. 02 58.41 153.96 103. 19 162. 55 189. 55 184.77 203. 50 21 285.80 257. 54 296. 51 152. 41 224.90 246.78 56.43 147. 97 101.02 157. 88 180.28 179.24 191.33 22 269.54 249.61 286.18 146. 60 212.12 239.73 54.58 143.23 100. 16 154.83 175. 81 173.94 183.72 23 257.20 239. 97 276. 45 141. 66 200.57 236.55 52.77 139. 86 99.88 152. 40 177. 87 168.88 178. 18 24 243.69 231.59 267. 46 137.99 191. 59 231.32 51.12 137. 71 100.04 150.85 174. 58 164.36 173.27 25 232.03 224.91 258.68 135. 45 185.64 222.99 49.50 135. 86 100.37 ' 149.57 167. 42 161.33 168. 91 26 223.07 219. 11 249.31 134.20 181. 34 213. 33 48.09 134.86 100. 56 148. 57 164.71 159.02 164.00 27 213.03 212.97 239.22 134.20 176. 73 208. 27 46.69 133.59 100.47 147.57 167.16 156. 73 159. 62 28 203. 74 209.23 228.16 133. 71 172. 71 204.48 45.35 132. 59 100.54 146.84 167.57 154.47 154.46 29 198. 37 206.63 216.95 132. 45 169. 62 199. 19 44.09 131. 86 100.15 145. 57 165. 86 152. 55 149.54 30 191. 86 204.58 206.04 131. 21 167. 40 193. 09 42.83 131. 40 99.77 143.78 162. 80 150.34 145. 39 31 184.84 200.52 195. 68 129.72 163. 25 185.88 41.63 130. 94 98.92 141. 74 165. 96 147. 87 140. 86 32 179.00 195. 58 186.23 128.00 158. 87 178. 66 40.49 129.94 97.77 139.47 166.02 145. 72 137. 03 33 172. 33 192.22 177.43 125. 82 154.30 173. 48 39.35 128. 94 96.47 137.23 161.20 143.04 134. 06 34 166. 38 186.67 169.23 123. 90 149. 90 170. 88 38.21 127. 41 94.88 135. 27 156.89 140. 68 131. 15 35 161. 38 181. 36 161.45 121. 56 145. 36 167. 16 37.13 126. 15 93.17 134.03 153. 05 138. 10 128. 09 36 156.29 178. 70 154.20 119. 69 142. 21 160. 64 36.04 124. 64 91.47 133. 27 152. 98 135. 05 125. 76 37 151. 14 174. 49 147. 40 117.84 139.13 155. 84 34.96 122. 88 90.06 132. 27 148. 05 131. 35 123.25 38 147. 32 171. 17 141.16 116. 42 135. 57 150. 61 33.92 120. 89 88.66 131. 50 145. 32 127. 78 121 21 39 142.84 165. 74 135. 45 115. 01 132. 12 144. 15 32.88 118. 93 87.79 130. 27 145. 18 123.90 118. 79 40 138. 79 159. 88 129.98 113. 20 129.03 140.87 31.92 116. 53 87.31 128. 81 142.21 121. 20 116. 61 41 135. 36 154. 33 124. 50 111.02 126. 52 138. 21 31.03 114. 62 87.24 127.59 139. 31 119. 37 113.71 42 131.58 148. 76 118. 88 108. 51 124. 29 136. 40 30.17 113. 17 87.31 126. 36 138. 04 117. 97 110.00 43 128.80 144.04 113.29 105. 50 123.05 134.88 29.34 112.61 87.67 125 81 137.04 116. 57 105. 94 44 126. 51 138. 74 107. 88 102.42 120.88 134.14 28.55 112. 95 87.35 125. 03 132. 98 113. 82 101. 45 45 123.43 135. 70 102. 59 99.28 116.51 130. 33 27.81 113.07 86.49 123.59 129.55 109.87 96.80 46 120.63 133. 22 97.40 95.78 111.94 123.42 27.07 112. 30 84.95 121. 52 129.03 104.10 92.44 47 117.15 128. 68 92.24 92.15 106. 68 119. 58 26.36 109.31 82.52 118. 24 117. 99 97.74 88.46 48 113.07 124.35 87.41 88.29 100.58 116. 49 25.65 104.78 79.42 114. 30 118. 40 91.32 84.92 49 108.85 119. 41 82.89 84.03 94.40 107. 21 24.90 99.22 75.78 109.81 111. 26 85.86 81.24 * See second footnote on p. 203. t Whites in the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, andthe District of Columbia. FOREIGN COUNTRIES. MEASURE OF VITALITY.* 223 Table 84 POPULATION AND DEATH STATISTICS, AND EXHIBITED HERE IN TABULAR FORM SO THAT A COMPARISON AT EACH AGE. Age. Australia: Denmark: England: France: Germany: Holland: India: Italy : Japan: Norway: Sweden: Switzer- land: 1901-1910 United States: 1901-1910 t 1901-1910 1906-1910 1901-1910 1898-1903 1901-1910 1900-1909 1901-1910 1901-1910 1898-1903 1901-1910 1901-1910 1 2 3 4 S 6 7 8 9 10 11 12 13 14 MEASURE OF VITALITY, \ x . FEMALES. 50 104. 07 110.94 78.42 79.92 88.24 98.64 24.14 93.26 71.94 105. 22 109. 36 80.46 77.75 51 99.72 103. 27 73.89 75.87 81.64 92.86 23.41 87.38 68.06 100. 74 103. 97 75.72 73.82 52 94.32 97.36 69.16 71.99 75.37 88. 05 22.70 81.92 64.28 96.37 101.24 70.63 69.27 53 88.99 91.33 64.29 68.19 70.58 83.02 22.02 77.17 60.61 91.87 94.45 65.94 64.25 54 83.37 86.51 59.56 64.56 66.13 78.90 21.33 73.00 56.98 87.52 86.69 61.10 59.49 55 77.89 83.79 55.11 60.75 61.22 74.31 20.61 68.74 53.50 83.23 83.12 56.58 54.79 56 72.45 79.58 51.07 56.85 56.22 67.95 19.88 63.97 50.10 78.82 78.94 51.89 50.59 57 67.26 73. So 47.48 62.71 51.58 62.25 19.15 58.50 46.72 74.54 74.31 47.55 47.03 58 61.75 68.41 44.34 47.85 47.39 58.03 18.38 52.79 43.42 70.32 68.63 43.44 44.13 59 56.57 62.77 41.51 44.21 43.57 53.02 17.61 47.37 40.28 65.97 65.29 39.81 41.25 60 51.60 56.89 38.88 40.56 39.93 47.69 16.80 42.48 37.25 61.58 59.71 36.52 38.66 61 47.11 51.62 36.38 37.27 36.24 43.30 16.02 38.17 34.35 57.12 55.58 33.38 36.10 62 43.03 47.09 33.95 34.26 32.70 39.73 15.24 34.39 31.67 52.75 51.95 30.33 33.42 63 39.30 42.76 31.74 31.57 29.70 36.37 14.46 31.24 29.12 48.55 47.18 27.43 30.77 64 35.93 38.68 29.75 29.10 27.08 33.17 13.69 28.59 26.77 44.60 43.26 24.86 28. 44 65 32. 87 34.97 27.80 26.80 24.76 30.41 12.94 26.14 24.58 40.95 39.63 22.60 26.28 66 30.05 31.77 25.78 24.63 22.62 27.70 12.19 23.72 22.56 37.61 36.36 20.65 24.33 67 27.46 28.63 23.65 22.43 20.60 25.06 11.47 21.33 20.70 34.50 32.89 18.91 22.54 68 25.02 25.83 21.40 20.33 18.73 22.61 10.74 19.02 19.00 31.64 29.82 17.27 20.85 69 22.69 23.49 19.20 18.38 17.12 20.51 10.05 16.94 17.42 28.96 27.14 15.77 19.26 70 20.43 21.16 17.22 16.59 15.61 18.83 9.39 15.11 15.97 26.43 24.31 14.39 17.77 71 18.36 19.16 15.52 14.97 14.12 17.17 8.75 13.52 14.64 24.05 22.49 13.16 16.39 72 16.49 17.74 14.12 13.52 12.78 15.47 8.11 12.16 13.42 21.78 19.57 12.03 15.10 73 14.88 16.31 12.97 12.25 11.67 13.94 7.49 11.01 12.30 19.67 18.07 10.97 13.93 74 13.52 14.77 11.96 11.11 10.65 12.80 6.90 10.03 11.27 17.71 16.45 9.99 12.84 75 12.36 13.38 11.07 10.08 9.68 11.75 6.35 9.14 10.37 15.97 14.42 9.11 11.83 76 11.36 12.04 10.25 9.15 8.85 10.63 5.81 8.31 9.53 14.43 13.06 8.35 10.90 77 10.49 10.66 9.49 8.32 8.10 9.64 5.31 7.52 8.77 13.07 11.50 7.67 10.05 78 9.70 9.64 8.79 7.57 7.40 8.79 4.79 6.75 8.06 11.89 10.87 7.07 9.25 79 8.99 8.82 8.14 6.90 6.83 8.00 4.38 6.05 7.40 10.83 9.54 6.49 8.47 80 8.32 7.90 7.55 6.32 6.33 7.32 3.94 5.44 6.79 9.89 8.64 5.96 7.69 81 7.71 7.20 6.98 5.85 5.79 6.78 3.55 4.93 6.23 9.01 7.78 5.48 6.99 82 7.13 6.65 6.45 5.41 5.27 6.24 3.17 4.51 5.71 8.19 7.13 5.05 6.42 83 6.60 6.07 5.94 5.01 4.83 5.68 2.85 4.16 5.24 7.43 6.40 4.67 5.97 84 6.08 5.65 5.45 4.64 4.45 5.19 2.53 3.84 4.80 6.75 5.69 4.34 5.53 85 5.58 5.37 4.99 4.34 4.10 4.81 2.25 3.55 4.39 6.15 5.26 4.04 5.10 86 5.10 4.97 4.59 4.18 3.78 4.47 1.99 3.27 4.01 5.64 4.78 3.76 4.72 87 4.66 4.49 4.24 4.04 3.50 4.13 1.76 3.01 3.67 5.19 4.36 3.49 4.39 88 4.28 3.96 3.92 3.91 3.27 3.83 1.54 2.76 3.35 4.80 4.03 3.23 4.10 89 3.94 3.56 3.64 3.78 3.07 3.63 1.42 2.53 3.06 4.43 3.70 2.96 3.81 90 91 92 93 94 95 96 97 98 99 100 3.63 3.34 3.08 2.84 2.63 2.43 2.24 2.07 1.90 1.72 1.50 3.38 3.15 2.96 2.79 2.65 2.52 2.41 2.30 2.20 2.08 1.97 3.66 3.54 3.43 3.32 3.22 3.13 3.01 2.96 2.82 2.69 2.61 2.89 2.71 2.57 2.44 2.30 2.22 2.12 2.05 1.97 1.93 3.20 2.84 2.36 2.00 1.63 1.29 1.02 .78 .83 .50 1.21 1.17 1.50 .50 2.30 2.10 1.90 1.71 1.58 1.41 1.32 1.30 .83 .50 2.78 2.53 2.30 2.09 1.87 1.72 1.53 1.39 1.28 1.25 1.00 4.08 3.74 3.42 ' 3.13 2.90 2.71 2.54 2.40 2.30 2.17 2.03 3.45 3.21 2.92 2.70 2.56 2.28 2.08 2.06 2.04 1.90 1.78 2.74 2.57 2.46 2.37 2.18 1.98 1.83 1.60 1.42 1.33 1.17 3.55 3.31 3.09 2.89 2.72 2.58 2.45 2.34 2.24 2.14 2.04 t Whiles' in the original registration states, which include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, and the District of Columbia. MORTALITY TABLES BASED ON EXPERIENCE OF LIFE INSURANCE COMPANIES. DESCRIPTION OF TABLES. 90. Four of these tables are based on experience for the most part on insured lives in the United States, one on that in the United States and Canada, while five others are based on experience on insured lives in Great Britain, France, Germany, Japan, and Sweden, respectively; the life table for white males in the origi- nal regis trationstates, 1910, is based on census statistics. The American Experience Mortality Table was con- structed by Sheppard Homans about 1860 and was first published under its present name in a schedule attached to an act passed by the legislature of the state of New York in 1868. It has for its basis the experi- ence on insured lives in the Mutual Life Insurance Company, of New York, but it is not an accurate repre- sentation of the individual experience of that company. The table was intended to represent the death rate among insured lives residing in healthful districts after the effects of medical selection were eliminated. It is quite generally prescribed by state laws for valuation purposes and is employed by practically all the old- line companies in this country to calculate their premiums and reserves and also by the United States Government for insurance on soldiers. The Thirty American Offices Tables were compiled by Levi W. Meech and are based upon the experience of thirty American life insurance companies on insured lives. The experience closed with the year 1874. The tables were prepared with great care and in con- siderable detail, but they have never been used to any extent by insurance companies. The table included in this volume is for males. The most recent investigation of mortality rates based upon the experience of insured lives in the United States and Canada is known as the American-Canadian Mortality Investigation. It was conducted by the Actuarial Society of America, with the cooperation of the American Institute of Actuaries and the National Convention of Insurance Commissioners, and was based on the experience of life insurance companies of the United States and Canada during the years 1900 to 1915, inclusive, with policies issued from 1843 to 1914, inclusive. This investigation undoubtedly shows very closely the rates of mortality now existing among insured lives in this country and Canada. The table included in this volume is for American men and represents the experience on men who had been insured at least five years. It is what is known as a "truncated" table of mortality, the first five years of insurance having been excluded from the ob- servations used in its construction. The result of excluding the first five years of insurance experience is practically to eliminate the effect of medical selection. The rates of mortality by this table are much lower than those shown by the American Experience or the Thirty American Offices Life Table for nearly all ages. The symbol for the American-Canadian Table in- cluded in this volume is AM W ; the AM denotes (224) American Men, and the superscript (5) denotes that it is a truncated table based on insured lives where the first five insurance years are excluded. The British Offices Life Tables were prepared under the supervision of a joint committee of the Institute of Actuaries of Great Britain and the Faculty of Actu- aries of Scotland. They comprise the experience of practically all the British and Scotch companies on insured lives during the period 1863-1893. The table included herein is based upon the experience with whole life participating insurance on men, and the symbol used to designate it is M(5) . The superscript (5) indicates that it is a truncated table, policies of dura- tion of less than five years having been excluded from the observations used in its construction. This table is quite generally employed by life insurance companies in England and Canada for the calculation of premiums and reserves. The Four French Offices Mortality Experience is based on the experience on insured lives in four French companies, and the observations extended from 1819 to the end of 1887. It includes the experience on both male and female lives, and is used at the present time by French insurance companies for the calculation of premiums and reserves. It is designated by the symbol AF, the A referring to Assurance and the F to French, the combination meaning French insur- ance. This table runs very near the British Offices Life Table from age 17 to about age 45, after which it shows higher mortality rates. The Twenty-three German Offices Life Tables are based upon the experience on insured lives of twenty- three German life insurance companies. The experi- ence closed in 1875 and included tables for male lives, female lives, and for both sexes combined. The table included in this volume and used by German life insur- ance companies is the one based on the combined experience on men and women. It shows rates of mortality considerably above those in the American Experience, American-Canadian, British Offices, and French Offices Tables. The Three Japanese Offices Life Tables are based upon the experience on insured lives in three Japanese companies, the Neiji, established in 1881 ; the Teikoku, established in 1888; and the Nippon, established in 1888. The observations covered all their insured risks from date of organization to the close of 1905, with some exceptions in connection with military service and emi- grants. The table included herein is based on the expe- rience on insured Japanese men and is designated by the symbol J™^ . This indicates that it is a truncated table for Japanese males, the first five years of insurance ex- perience having been excluded. This table is used by Japanese companies for the calculation of premiums and reserves. It shows a much higher mortality than any of the other insurance tables for most ages. The Seventeen Swedish Offices Life Tables are based on insured lives from 1895 to 1906 in seventeen Swed- LIFE INSURANCE MORTALITY TABLES. 225 ish life insurance companies. Numerous tables were constructed from this experience, some based on the medical examination as the unit, some on the amount insured as the unit, and some on the life insured. The table included is based on male lives, the person or life being the unit. It also includes the aggregate experience; in other words, it is not a truncated table. The symbol for this table is D M£; M means that the table relates to men; the subscript a means that it is an aggregate table, including all years of insurance experience; the superscript p , that the person or life is the unit; and the superscript h , that the table in question is based on the entire experience on men and not on any special class of policies, as whole life policies alone or endowment policies alone. The National Fraternal Congress Table of Mortality was prepared in 1898 by a joint committee appointed by the National Fraternal Congress, a representative association of fraternal societies in this country. According to the committee, "the experience exam- ined and available embraced the mortality experience of old-line companies in the United States, England, Canada, and Australia; of the fraternals, the experi- ence of the two oldest and largest in this country." This table is employed by many fraternal societies in this country as a basis for their assessment rates and to measure the present value of benefits promised in their certificates and the present value of the future contributions of their members. The rates of mor- tality are between those of the American-Canadian and the American Experience from age 20 to age 49, but from age 50 to age 80 they are lower than the rates in both these tables. The Standard Industrial Mortality Table is based on the industrial insurance experience of the Metropolitan Life during the ten years 1896-1905. It has been adopted as the legal basis for industrial insurance in the state of New York and is employed by most of the industrial companies as a basis for their premiums and reserves. It is based on the entire experience on all the male lives and is an aggregate table, no insurance years having been excluded. The rates of mortality from age 2 to age 20 are somewhat higher than those in most of the census life tables and from age 30 to age 50 much higher than those in the other insurance tables; from age 50 to age 93 they run very close to those in the Three Japanese Offices Tables. MORTALITY FUNCTIONS APPEARING IN TABLES AND GRAPHS. 91. Tables 85 to 89 on pages 226 to 235 exhibit the rate of mortality per thousand, the number of sur- vivors out of 79,116 alive at age 20, the number of deaths out of 79,116 alive at age 20, the complete expectation of life* and the measure of vitality, t The common radix, 79,116, is the number of survivors at age 20 in the life table for white males in the original registration states for 1910, and was chosen in order to compare the number of survivors and number of deaths in the various insurance tables. Tables 90 and 91 on pages 236 to 239 show the number of survivors and num- ber of deaths out of the number alive according to the original radix of each table. (See sec. 77, p. 46.) DIFFERENCE BETWEEN MORTALITY TABLES BASED ON INSURED LIVES AND LIFE TABLES BASED ON CENSUS STATISTICS. 92. It is shown in Part VI on the Mathematical Theory of Construction of Life Tables that the rates of mortality in the life tables are derived by the applica- tion of certain formulas to the original census statis- tics, that is, to the enumerated populations, the re- ported deaths, and the birth registration statistics. All persons living are taken into account, as well as all the births and deaths. The case is quite different in the construction of mortality tables based on insured lives. The individual does not come under observation until accepted as a risk by the insurance company. Before the policy is issued the applicant is required to pass a satisfactory medical examination, and this constitutes the chief distinction between the aggregate of policyholders in an insurance company and the aggregate of persons in the general unselected popula- tion. The former is said to constitute a selected group, the basis of selection being the medical examination. It has been found that the rates of mortality during the first five insurance years among insured lives are much lower than the rates of mortality at the same ages in the general population, and actuaries have shown that the effect of this medical selection does not entirely pass away until after ten or more years; some actuaries contend that its effect never entirely disappears. The effect of medical selection should be borne in mind when comparing insurance tables with census tables. Attention has been called to some of the mortality tables which were constructed by excluding the first five insurance years from the observations, and it is evident that the truncated tables so obtained are more nearly comparable with census life tables because the effect of medical selection has been eliminated to some extent. Even in these cases, however, great caution should be used in making comparisons, because the composition of the general population is likely to be quite different from that of the policyholders in an insurance company. It should also be remembered, in comparing insurance tables, that they are not based on the same kind of experience; for example, some are aggregate tables, some truncated tables, some based on male lives, some on male and female lives, some based on the class of policyholders who take industrial insurance, and others on the class of policyholders who take the more expensive forms of insurance. In addition to all these varying factors some of the tables are based on insured lives in different countries. )/l x . The l x used to compute these values were taken from * The complete expectation of life for the Seventeen Swedish Offices Life Tables and for the Standard Industrial Mortality Tables was computed in the Bureau of the Census according to the formula £+( S^c )/ Table 90, p. 236. V x+l / f The measure of vitality for the ten tables based on insured lives was computed in the Bureau of the Census according to the formula lx/dx—i- The l x and d x used to compute the values in Table 89, p. 234, were taken from Tables 90 and 91, respectively, pp. 236 to 239. Those for the United States were taken from Table 9, p. 68. 150822°— 21 15 226 Table 85 UNITED STATES LIFE TABLES. INSUKED LIVES. ANNUAL RATES BASED ON MORTALITY TABLES DERIVED FROM THE EXPERIENCE OF LIFE INSURANCE COMPANIES IN VARIOUS MALES IN THE ORIGINAL Age. American Experience Mortality Table: 1860. * Thirty American Offices Life Tables: 1874. Males. * American- Canadian Mortality Investigation: 1900-1915. American men. AMIS British Offices Life Tables: 1863-1893. Males. 0«(5) Four French Offices Mortality Experience: 1819-1887. Males and females. AF Twenty-three German Offices Life Tables: 1875. Males and females. i Three Japanese Offices Life Tables: 1905. Males. J«(S) Seventeen Swedish Offices Life Tables: 189.5-1906. Aggregate males. National Fraternal Congress Mortality Table: 1898. Standard Industrial Mortality Table: 1896-1905. Males. * United States. Original Registration States: 1909-1911. White males. + 1 2 3 4 5 6 7 8 9 10 11 12 ANNUAL RATE OF MORTALITY PER THOUSAND, W00q x . 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 36.02 27.49 20.85 15.75 11.87 8.97 6.87 5.40 4.43 3.88 3.64 3.66 3.87 4.22 4.66 5.15 5.65 6.10 6.48 6.75 6.90 123.26 28.21 12.73 i.93 5.72 4.71 4.00 3.40 2.93 2.59 2.38 2.28 2.29 2.41 2.59 2.83 3.15 3.55 3.98 4.42 4.89 34.67 22.47 13.23 9.46 7.20 5.95 4.89 4.06 3.44 3.05 2.88 2,94 3.17 3.58 4.11 4.78 5.50 6.21 6.91 7.49 7.52 7.54 7.57 7.60 7.63 7.66 7.69 7.73 7.77 7.81 6.48 6.50 6.52 6.54 6.57 6.59 6.61 6.65 6.68 6.72 6.76 6.13 6.17 6.19 6.22 6.25 6.29 6.33 6.38 6.42 6.46 6.52 7.05 7.15 7.36 7.64 8.05 8.62 9.32 10.11 10.89 11.56 11.99 3.46 3.53 3.63 3.71 3.81 3.92 2.77 2.81 2.86 2.91 2.96 3.02 8.86 9.20 9.34 9.20 5.00 21 7.86 6.81 4.02 6.59 6.92 9.17 12.15 3.09 5.04 7.56 5.24 22 7.91 6.86 4.12 6.65 6.81 9.03 11.98 3.16 5.07 8.15 5.39 23 7.96 6.91 4.18 6.72 6.62 8.84 11.54 3.24 5.11 8.64 5.42 24 8.01 6.97 4.25 6.80 6.41 8.66 10.92 3.33 5.15 9.09 5.48 25 8.07 7.03 4.31 6.89 6.28 8.54 10.24 3.42 5.20 9.53 5.54 26 8.13 7.12 4.35 6.98 6.40 8.48 9.56 3.52 5.26 9.94 5.63 27 8.20 7.19 4.39 7.09 6.53 8.48 9.03 3.64 5.32 10.35 5.82 28 8.26 7.28 4.41 7.21 6.67 8.54 8.60 3.76 5.39 10.81 6.07 29 8.35 7.39 4.43 7.32 6.82 8.67 8. 3ti 3.89 5.47 11.24 6.33 30 8.43 7.49 4.46 7.47 6.98 8.83 8.20 4.04 5. 55 11.60 6.60 31 8.51 7.60 4.48 7.62 7.17 9.01 8.12 4.20 5.65 11.97 6.93 32 8.61 7.73 4.51 7.77 7.36 9.23 8.10 4.38 5.75 12.26 7.31 33 8.72 7.87 4.59 7.9fi 7.58 9.4.5 8.10 4.57 5.87 12.49 7.70 34 8.83 8.03 4.68 8.16 7.81. 9.70 8.14 4.78 6.00 12.74 8.10 35 8.95 8.21 4.78 8.37 8.07 9.98 8.18 5.01 6.15 12.99 8.52 36 9.09 8.39 4.94 8.60 8.35 10.27 8.31 5.26 6.31 13.22 8.90 37 9.23 8.59 5.12 8.86 8.66 10.59 8.53 5.53 6.49 13.53 9.23 38 9.41 8.83 0.32 9.15 8.99 10.95 8.86 5.83 6.70 13.87 9.54 39 9.59 9.08 5.56 9.45 9.36 11.33 9. 32 6.16 6. 92 14.23 9.87 40 9.79 9.36 5.84 9.78 9.75 11.77 9.92 6.52 7.17 14.65 10.22 41 10.01 9.65 6.16 10.15 10.19 12.29 10.67 6.92 7.45 15.09 10.60 42 10.25 10.00 6.54 10.56 10.66 12.79 11.56 7.34 7.77 15. 57 11.04 43 10.52 10.35 6.94 10.99 11.18 13.32 12. 56 7.81 S. 11 16.11 11.52 44 10.83 10.76 7.42 11.46 11.74 13.85 13.66 8.33 8.48 16.71 12.05 45 11.16 11.20 7.94 12.00 12.36 14.37 14.85 8.89 8.87 17.35 12.64 46 11.56 11.69 X. 52 12.56 13.03 14.89 16.10 9.50 9.29 18.07 13.25 47 12.00 12.23 (1. 18 13.20 13.76 15.50 17.41 10.17 9.7.5 18. S2 13.83 48 12.51 12.81 9. 89 13.88 14.56 16.21 18. 79 10.91 10.27 19.69 14.37 49 13.11 13.46 10.70 14.63 15.43 17.06 20.24 11.71 10.82 20.62 14.95 * 1000?a: was copied to the nearest second decimal. t The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, Now \ ork, New Jersey, Indiana, Michigan, and the District of Columbia. LIFE INSURANCE MORTALITY TABLES. OF MORTALITY PER THOUSAND. 227 Table 85 COUNTRIES; ALSO THE RATE OF MORTALITY PER THOUSAND TAKEN FROM THE LIFE TABLE FOR WHITE REGISTRATION STATES: 1910. Age. American Experience Mortality Table:' 1860. * Thirty American Offices Life Tables: 1874. Males. * American- Canadian Mortality Investigation: 1900-1915. American men. AMM British Offices Life Tables: 1863-1893. Males. OM(5) Four French Offices Mortality Experience: 1819-1887. Males and females. AF Twenty-three (lerman Offices Life Tables: 1875. Males and females. Three Japanese Offices Life Tables: 1005. Male';. JMIil Seventeen Swedish Offices Life Tables: 189.5-1900. Aggregate males. National Fraternal Congress Mortality Table: 1898. Standard Industrial Mortality Table:' 1896-1905. Males. * ] United States. Original Registration States: 1909-1911. White males. t l * 3 1 5 6 7 8 9 10 11 12 1 ANNUAL RATE OF MORTALITY PER THOUSAND, 1000^. 50 13. 7S 14. IS 11. 58 15.45 16. 38' 18.14 21.71 12.59 11.44 21.04 15.53 51 14.54 14.96 12.54 18. 34 17.42 19.31 23.19 13.55 12.15 22.77 16.24 52 15.39 15.81 13.62 17.31 IS. 55 20.61 24.70 14.60 12.90 24.02 17.21 53 16.33 16.75 14. 7S 18.39 19.78 21.99 26.29 15.75 13. 75 25.34 18.45 54 17.40 17.78 16. OS 19.56 21.12 23. 49 2S.02 17.00 14.68 26. S3 19. S5 55 18.57 18. 93 17.47 20.83 22.59 25.05 30.04 18.37 15.71 28, 46 21.50 56 19.89 20.17 19.02 22.22 24.20 26.80 32.36 19.88 16.86 30.23 23.30 57 21.34 21. 56 20.69 23. 75 25.92 28.67 35.07 21.52 18.12 32.20 25. OS 58 22.94 23.06 22.51 25.41 27.82 30.73 38.09 23.31 19.50 34.32 26.81 59 24.72 24.71 24.49 27.22 29.88 32. 89 41.40 25.27 21.05 36.66 28. 71 60 26.69 26.53 26. lis 29.21 32.13 35.36 44.90 27.42 22. 75 39.22 30. 75 61 28. NX 28.53 29. 03 31.38 34.58 37.82 48.54 29.76 24.64 42.03 32.95 62 31.29 30.70 31. 5S 33.73 37.25 40.42 52.08 32.33 26.72 45.09 35.41 63 33.94 33.' 11 34. 37 36. 32 40.15 43.17 55.32 35. 13 29.03 48.44 38.09 64 36.87 35.74 37. 38 39.12 43.31 46.13 58.26 38.20 31. 57 52.11 40. SS 65 40.13 38. 04 40. 60 42.21 46.74 49.43 • 60.84 41.50 34.39 56. 13 43.79 66 43.71 41.79 44.18 45. 54 50.48 53. 29 63. 43 45. 22 37.52 60. 53 46.87 67 47.65 45.28 ■18. 03 49. IS 54. 55 57. (12 116. 39 49. 23 40.96 65.31 50.23 68 52.00 49.04 52. Hi 53. 17 5S. 96 02.26 70.35 .53. 62 44.-78 70. 53 53. 92 69 56. 76 53.24 56.64 .57. 4.S 63.76 67. 31 75. 77 58.41 48. 98 76.22 57. 88 70 61.99 57. 78 61.47 62.19 68.97 72.76 82. S3 63.66 53.65 S2.47 62.14 71 67.67 62. 78 66.70 67.31 74.62 78.50 91.47 69.39 58. 81 89.26 66.90 72 73.73 68.22 72. 33 72.90 80.76 84. 59 101.32 75.66 64. 49 '.16. 66 72.30 73 80. IS 74.15 78. 39 78. 96 87. 41 91.30 111. si N2. 51 70.81 104. 69 78.33 74 87. 03 SO. 71 84.92 85. 53 94.61 98. 54 122. 63 90.01 77.78 113.40 S4.99 75 94.37 87.79 91.94 92.(17 102.41 106. 49 133. 35 98.20 SS. 4S 122. 97 92.53 76 102. 31 95.50 99.51 100. 43 110.85 114.51 143.94 107.17 93.99 133. 28 100. 34 77 111.06 104. 00 107. 65 108.85 119. 97 123. 12 154. 42 116.97 103. 40 144.44 108. 04 78 120. 83 113. IS 116.31 117.94 129. 82 132. 33 165. 43 127. 68 113. 83 156.57 115. SS 79 131.73 123. 19 125.69 127. 81 140. 45 142. 19 177. 27 139. 40 125. 35 169. 62 124. 9s 80 144.47 134.07 135. 74 138. 50 151.90 15.5. 14 190. 44 152. 21 138. 09 183. 80 13.5. 75 81 158. 61 145. 83 146. 42 150.00 164.24 169. 74 205.18 166. 22 1.52. 20 199. 02 147. 2S S2 174. 30 158. 70 157. 87 162. 40 177. 49 184.51 220. 98 181.54 167.77 21.5. 57 158. 33 83 191. 56 172. 46 170. 05 175. 73 191. 72 198.25 238. 22 198. 30 184.96 233. 15 168. 54 84 211. 3(i 1S7. 52 183. In 190. 14 206. 98 211.12 255.99 216.62 204. 04 251. 98 179.56 8.5 235.55 203. 63 197. 07 205. 69 223. 30 222. 00 275. 74 236. 65 225.08 272. 32 191. 11 86 265.68 220. 84 211.80 222. 13 240. 74 228. 05 295. 97 258.55 248. 35 293. 83 203. 07 87 303. 02 239. 89 227.29 240. 01 259.33 233. 68 317. 48 282.50 274. 15 316. 00 215. 45 88 346. 69 259. 55 244. 08 2.5S. 87 279. 11 237.88 339. 97 308. 69 302. 57 341.46 22S. 30 89 395. 86 292. 60 261. 70 278. 81 300. 10 243. 16 364. 22 337. 32 334. is 366. 01 241.57 90 91 92 93 94 95 96 97 98 99 100 454. 5^i 532. 47 634. 26 734. IS 857. 14 1,000.00 328. 15 358. 54 389. 74 425. 00 462. 45 500. 00 558. S2 600. 00 666. 67 1,000.00 280. 35 299. 46 321.08 341.88 363. 64 387. 76 411.11 443. 40 457. 63 500. 00 562. 50 300. 75 322. 31 389. 83 368.79 395. 19 255. 17 322. 58 345. 75 416. 67 407. 67 420. 46 26S. S7 347. SS 370. 43 447. 62 449. 74 450. 98 2S2. 5(1 371. 20 400. 00 424. 73 396. 30 465. 52 498. 45 464. 29 296. 24 423. 33 516. 13 549. 38 500. 00 310. 21 451. 46 533. 33 602. 74 533. 33 324. Sli 457. 94 482. 76 500. 00 533. 33 571.13 480. 60 510. 65 541.48 572. 92 604. 78 571. 43 666. 67 1,000.00 655. 17 700.00 1,000.00 571.43 666.67 1,000.00 340. 85 358. 73 379.05 401. 97 1 127. 46 * lOOOflz was copied to the nearest second decimal. t The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, and the District of Columbia. 228 Table 86 UNITED STATES LIFE TABLES. INSURED LIVES. NUMBER OF SUR BASED ON MORTALITY TABLES* DERIVED FROM THE EXPERIENCE OF LIFE INSURANCE COMPANIES IN VARIOUS ORIGINAL REGISTRA Age. American Experience Mortality Table: 1860. Thirty American Offices Life Tables: 1874. Males. •t American- Canadian Mortality Investigation: 1900-1915. American men. AM«) British Offices Life Tables: 1863-1893. Males. M <« Four French Offices Mortality Experience: 1819-1887. Males and females. AF Twenty-three German Offices Life Tables: 1875. Males and females. Three Japanese Offices Life Tables: 1905. Males. JM(6) Seventeen Swedish Offices Life Tables: 1895-1906. Aggregate males. National Fraternal Congress ' Mortality Table: 1898. Standard Industrial Mortality Table: 1896-1905. Males. United States. Original Registration States: 1909-1911. White males. t 1 2 1 5 6 7 8 9 10 11 12 NUMBER OF SURVIVORS, } r . 1 95, 996 92,539 89, 995 88,119 100,000 87,674 2 91,254 85,201 3 88,090 84,117 4 86, 731 85, 71)2 86,111 83,449 5 84,972 82,972 6 84, 933 84, 349 83,894 84, 168 83,562 82, 581 82, 251 s 83,065 82, 658 82, 323 81, 971 9 83,522 81, 731 10 85 404 84,520 83,973 83 427 84 262 83 198 86, 406 81, 519 11 12 84, 765 84 128 83,74.5 83 228 82,895 82 592 85,797 85,183 82,040 81,790 81,325 81, 140 80,954 80,759 80,549 80,321 13 83 493 82,883 82,341 81 800 82, 713 82, 199 82,273 81,926 81 543 84,557 81, 554 14 15 82, 861 82 232 83,911 83,235 81,314 81,057 80,567 80 288 80, 258 80,036 16 81 604 81 261 81 172 81,123 80,665 82, 518 81,749 80,767 17 80,979 80,356 79, 735 80 724 80 005 80,659 80 145 81, 321 79,811 80,435 80 050 80,068 79,785 79, 467 18 80, 187 79 715 80,173 79,654 80,602 80,922 80,041 79,583 79,351 79,116 19 79, 651 79, 116 79 419 79,630 79, 116 79,861 79 611 20 79, 116 79, 116 79,116 79, 116 79, 116 79,116 79, 116 79, 116 21 78,499 78,581 78,806 78,600 78, 570 78, 389 78, 167 78,877 78, 720 78, 569 78, 729 22 77,882 78,046 78, 489 78,082 78,026 77, 671 77,217 78,632 78, 324 77, 975 78,316 23 77,266 77,511 78, 166 77, 563 77, 495 76, 969 76,292 78, 384 77, 927 77, 340 77,894 24 76,651 76, 975 77,839 77,042 76,982 76,288 75, 412 78, 130 77,529 76,672 77, 472 25 76, 037 76,438 77, 508 76, 518 76,488 75, 627 74,589 77,870 77, 129 75, 975 77,047 26 75, 424 75, 901 77, 174 75, 990 76,008 74,981 73, 825 77,604 76, 728 75,251 76,621 27 74, 811 75, 361 76,838 75, 460 75, 521 74, 345 73,119 77, 331 76, 325 74, 503 76, 189 28 74, 198 74, 819 76,500 74,925 75, 028 73, 715 72, 459 77,049 75, 919 73, 732 75, 746 29 73,584 74,275 76, 162 74,385 74,528 73, 086 71,836 76,760 75, 510 72,935 75,286 30 72, 970 73, 726 75, 825 73,840 74, 020 72, 453 71,235 76, 461 75,097 72, 116 74,810 31 72, 355 73,174 7.5, 486 73,288 73,503 71,814 70,651 76, 152 74,680 71, 279 74, 316 Ji 71, 740 72, 618 75, 148 72, 730 72, 976 71, 166 70,077 75,832 74,258 70, 426 73,801 33 71, 122 72, 057 74, 809 72, 165 72, 439 70,509 69, 510 75,500 73,831 69,563 73,261 34 70, 502 71, 490 74, 466 71,590 71, 890 69, 844 68,947 75, 154 73,397 68, 694 72, 697 35 69,880 70,916 74,117 71,006 71,329 69, 166 68, 385 74,795 72, 957 67, 819 72, 108 36 69,254 70,334 73, 762 70,411 70, 753 68, 476 67, 826 74, 420 72,508 66, 938 71, 494 37 68,625 69,744 73, 398 69, 806 70, 162 67, 772 67,262 74, 028 72, 051 66, 053 70,858 38 67, 991 69,111 73, 023 69, 187 69, 555 67,056 66, 688 73,619 71,583 65, 160 70,204 39 67,352 68, 534 72, 634 68, 555 68, 929 66,321 66, 097 73, 190 71,104 64,256 69, 534 40 66, 706 67, 912 72,231 67, 907 68,284 65, 570 65,481 72, 739 70, 612 63,342 68,848 41 66,053 67,276 71, 809 67, 243 67, 618 64, 798 64,832 72, 264 70, 105 62, 414 68, 144 42 65, 392 66, 627 71,366 66, 560 66, 929 64,002 64, 140 71, 764 69,583 61, 472 67, 422 43 64, 721 65, 961 70, 900 6.5, 858 66, 216 63, 184 63,399 71,238 69,043 60, 515 66, 678 44 64,040 65, 278 70, 408 65, 134 65, 476 62, 343 62,603 70, 682 68,483 59, 540 65,909 45 63,347 64,576 69,885 64, 387 64, 707 61, 479 61, 748 70, 093 67, 902 58, 546 65, 115 46 62,640 63,852 69, 330 63, 615 63, 907 60, 595 60,830 69, 470 67,300 57,530 64,292 47 61,916 63, 106 68, 740 62, 815 63,075 59, 693 59,851 68, 810 66, 675 56, 491 63,440 48 61,173 62,335 68, 109 61,986 62,207 58, 768 58, 809 68, 110 66, 025 55, 427 62,563 49 60, 407 61,536 67, 435 61, 126 61,301 57, 816 57, 704 67, 367 65,347 54,336 61,663 * The method of obtaining these values is oxplained in sec 91, p. 225. t The original registration states include Maine, New Hampshire, Vermont and the District of Columbia. MuisiuihiisetiK, liliodr Island, Connecticut, New York, New Jersey, Jndiana, Michigan, LIFE INSURANCE MORTALITY TABLES. VIVORS OUT OF 79,116 ALIVE AT AGE 20.* 229 Table 86 COUNTRIES; ALSO THE NUMBER OF SURVIVORS TAKEN FROM THE LIFE TABLE FOR WHITE MALES IN THE TION STATES: 1910. American- Four French Twenty-three German Offices Life Tables: 1875. Males and females. Three Japanese Offices Life Tables: 1905. Males. ,T» Seventeen Swedish Offices Life Tables: 1895-1906. Aggregate males. National Fraternal Congress Mortality Table: 1898. Standard Industrial Mortality Table: 1896-1905. Males. United States. Original Registration States: 1909-1911. "White males. t 1 2 ,'! I 5 1 r, 7 8 9 10 11 12 NUMBER OF DEATHS, d x . 1 3,457 2,544 1 12,326 2,473 1,084 668 477 391 330 280 240 212 194 2 1,876 3,164 1,979 1,139 804 606 497 407 335 283 3 4 5 6 8 1,388 1,029 769 584 455 372 324 303 • 517 609 517 303 614 250 185 12 13 14 15 16 17 18 19 20 63.5 544 515 514 319 347 626 646 236 240 186 195 629 541 513 514 383 420 676 717 2.57 290 210 228 222 283 513 458 769 225 332 253 290 514 492 719 827 228 283 296 515 519 741 881 232 439 318 303 514 538 745 925 235 49.3 351 617 535 310 516 546 727 949 239 396 547 387 21 617 535 317 518 544 718 950 245 396 594 413 22 616 535 323 519 531 702 925 248 397 635 422 23 615 536 327 521 513 681 880 254 398 668 422 24 614 537 331 524 494 661 823 260 400 697 425 25 613 537 334 528 480 646 764 266 401 724 426 26 613 540 336 530 487 636 706 273 403 748 432 27 613 542 338 535 493 630 660 282 406 771 443 28 614 544 338 540 500 629 623 289 409 797 460 29 614 54a 337 545 508 633 601 299 413 819 476 30 615 552 339 552 517 639 584 309 417 • 837 . 494 31 615 556 338 558 527 648 574 320 422 853 515 32 618 561 339 565 537 657 567 332 427 863 540 33 620 567 343 575 549 665 563 346 434 869 564 34 622 574 349 584 561 678 562 359 440 875 589 35 626 582 355 595 576 690 559 375 449 XXI 614 36 629 590 364 605 591 704 564 392 457 88.3 636 37 634 600 375 619 607 716 574 409 468 893 654 38 639 610 389 632 626 735 591 429 479 904 670 39 646 622 403 648 64.3 751 616 451 492 914 686 40 663 636 422 664 606 772 649 475 507 928 704 41 661 6411 443 683 689 * 796 692 500 522 942 722 42 671 666 466 702 713 818 741 526 540 957 744 43 681 083 492 724 740 841 796 556 560 975 769 44 693 702 523 747 769 864 855 589 581 994 794 45 707 721 555 772 800 XX4 918 623 602 1,016 823 46 724 746 590 800 832 902 979 660 625 1,039 852 47 743 771 631 829 868 92ri 1,042 700 650 1,064 877 48 766 799 674 800 906 952 1,105 743 678 1,091 900 49 791 829 721 894 946 9X6 1,1 tw 7 KM 708 1,121 922 * These values were derived fioin Table x«, p. 2: fThe original registration stales include Maine and the District of Columbia. x. Sec fust footnoto of that table. New Hampshire, Vermont, Massachusetts, Rhode Island, Coimeclieul , New York, New Jersey, Indiana, Michigan, LIFE INSURANCE MORTALITY TABLES. OUT OF 79,116 ALIVE AT AGE 20.* 231 Table 87 COUNTRIES; ALSO THE NUMBER OF DEATHS TAKEN FROM THE LIFE TABLE FOR WHITE MALES IN THE TION STATES: 1910. Age. American Experience Mortality Table: 1860. Thirty American Offices Life Tables: 1874. Males. American- Canadian Mortality investigation: 1900-1915. American men. AM) * Four French Offices Mortality Experience: 1819-1887. Males and females. AF * Twenty-three German Offices Life Tables: 1.875. Males and females. Three Japanese Offices Life Tables: 1905. Males. * Seventeen Swedish Oflices Life Tables: 1895-1906. Aggregate males. P M h t National Fraternal Congress Mortality Table: 1898. Standard Industrial Mortality Table: 1896-1905. Males, t United States. Original Registration States: 1909-1911. White males. t l 2 3 4 s 6 7 8 in 11 ia COMPLETE EXPECTATION OF LIFE IN YEARS • e x . 50 20.91 21.24 21.29 20.52 19.66 19.00 17.19 20.75 22. 16 17.77 20.39 61 20.20 20.54 20.53 19.84 18.98 18. 35 16. 56 20.01 21.41 17.16 , 19.70 52 19.49 19.84 19.79 19.16 18.31 17.70 15.94 19.28 20.67 16.54 19.02 53 18.79 19.15 19.05 18.49 17.64 17.06 15.33 18.56 19.93 15.94 18.35 54 18.09 18.47 18.33 17.82 16.99 16.43 14.74 17.85 19.20 15.34 17.68 55 17.40 17.80 17.62 17.17 16.34 15.81 14.15 17.15 18.48 14.75 17.03 56 16.72 17.13 16.93 16.52 15.71 15.21 13.57 16.46 17.77 14.17 16.39 57 16.05 16.47 16.25 15.89 15.09 14.61 13.01 15.78 17.07 13.59 15.77 58 15.39 15.83 15.58 15.26 14.48 14.03 12.46 15.12 16.37 13.03 15.16 59 14.74 15.19 14.93 14.65 13.88 13.46 11.93 14.47 15.69 12.47 14.57 60 14.10 14.56 14.29 14.04 13.29 12.90 11.43 13.83 15.01 11.93 13.98 61 13.47 13.94 13.67 13.45 12.71 12.35 10.94 13.21 14.35 11.39 13.41 62 12.86 13.34 13.06 12.87 12.15 11.82 10.47 12.60 13.70 10.87 12.85 63 12.26 12.74 12.47 12.30 11.60 11.30 10.02 12.00 13.06 10.36 12.31 64 11.67 12.16 11.90 11.75 11.06 10.78 9.58 11.42 12.44 9.86 11.77 65 11.10 11.60 11.34 11.20 10.54 10.28 9.14 10.85 11.83 9.38 11.26 66 10.54 11.04 10.80 10.68 10.03 9.79 8.70 10.30 11.23 8.91 10.75 87 10.00 10.50 10.28 10.16 9.54 9.31 8.26 9.77 10.65 8.45 10.25 68 9.47 9.97 9.77 9.66 9.06 8.85 7.81 9.25 10.08 8.00 9.77 69 8.97 9.46 9.28 9.18 8.60 8.40 7.36 8.74 9.53 7.57 9.29 70 8.48 8.97 8.81 8.71 8.15 7.97 6.92 8.25 9.00 7.16 8.83 71 8.00 8.49 8.35 8.25 7.72 7.56 6.50 7.78 8.48 6.76 8.39 72 7.55 8.02 7.91 7.81 7.30 7.16 6.11 7.32 7.98 6.37 7.95 73 7.11 7.57 7.49 7.38 6.90 6.78 5.74 6.88 7.49 6.00 7.53 74 6.68 7.14 7.08 6.97 6.51 6.41 5.40 6.45 7.03 5.64 7.13 75 6.27 6.72 6.69 6.58 6.14 6.05 5.08 6.04 6.58 5.30 6.75 76 5.88 6.32 6.32 6.20 5.78 5.72 4.79 5. 65 6.15 4.97 6.38 77 5.49 5.93 5.96 5.84 5.44 5.39 4.51 5.26 5.73 4.66 6.04 78 6.11 5.57 5.62 5.49 5.11 5.08 4.24 4.90 5.33 4.36 5.71 79 4.74 5.21 5.30 5.15 4.80 4.77 3.98 4.54 4.96 4.08 5.39 80 4.39 4.87 4.99 4.84 4.50 4.48 3.73 4.19 1.59 3.81 5.09 81 4.05 4.55 4.69 4.53 4.22 4.21 3.49 3.86 4.25 3.55 4.81 82 3.71 4.24 4.41 4.25 3.95 3.97 3.27 3.53 3.92 3.31 4.56 83 3.39 3.95 4.14 3.97 3.70 3.76 3.05 3.20 3.61 3.08 4.32 84 3.08 3.67 3.89 3.71 3.46 3.56 2.85 2.86 3.32 2.87 4.10 85 2.77 3.40 3.65 3.47 3.23 3.38 2.66 2.52 3.04 2.67 3.88 86 2.47 3.14 3.42 3.23 3.01 3.21 2.48 2.14 2.78 2.48 3.68 87 2.18 2.89 3.21 3.01 2.81 3.01 2.31 1.71 2.54 2.30 3.49 88 1.91 2.64 3.00 2.81 2.62 2.77 2.15 1.19 2.31 2.14 3.31 89 1.66 2.39 2.81 2.61 2.44 2.48 2.00 .50 2.09 1.98 3.15 90 91 92 93 94 1.42 1.19 .98 .80 .64 2.17 1.98 1.81 1.64 1.49 2.63 2.46 2.30 2.15 2.01 2.43 2.27 1.86 1.89 1.84 2.99 2.26 2. 10 2.11 1.72 1.70 1.72 2.84 1.97 1.60 1.52 1.60 2.70 1.95 1. 83 1.48 1.36 1.50 2.57 1.81 1.70 1.34 1.21 1.37 2.44 95 96 97 98 99 100 .50 1.34 1.18 1.03 .83 .50 1.87 1.74 1.61 1.50 1.34 1.19 1.69 1. 58 1.23 1.08 1.23 2.31 1.57 1.47 1.37 1.23 1.07 1.47 1.37 1.27 1.19 1.10 1.07 .83 .50 .95 .SO .50 1.07 .83 .50 2.19 2.06 1.93 1.80 1.68 * These values were copied to the nearest second decimal, and when the published values were expectation of life instead of compUtt expectation of life, .5 was added to the published values at each age. t See first footnote on p. 225. t The original registration states include Maine, New Hampshire, Vermont, Ma^aehii^ei 1 s Rhode Island, Connecticut, New 1 ork, New Jersey, Indiana, Michigan, and the District of Columbia. 234 Table 89 UNITED STATES LIFE TABLES. INSURED LIVES. MEAS BASED ON MORTALITY TABLES* DERIVED FROM THE EXPERIENCE OF LIFE INSURANCE COMPANIES IN VARIOUS ORIGINAL REGISTRA AOE. American Experience Mortality Table: 1860. Thirty American Offices Life Tables: 1874. Males. American- Canadian Mortality Investigation: 1900-1915. American men. AM<» British Offices Life Tables: 1863-1893. Males. 0»») Four French Offices Mortality Experience: 1819-1887. Males and females. AF Twenty -three German Offices Life Tables: 1875. Males and females. Three Japanese Offices Life Tables: 1905. Males. J«(5) Seventeen Swedish Offices Life Tables: 1895-1906. Aggregate males. National Fraternal Congress Mortality Table: 1898. Standard Industrial Mortality Table: 1896-1905. Males. United States. Original Registration States: 1909-1911. White males. t 1 2 3 1 5 6 7 8 9 10 11 12 MEASURE OF VITALITY As, 27.27 7.39 1 2 3 4 5 6 7 8 9 10 35.88 47.46 63.01 83.77 110.94 145. 07 184. 72 224.97 257.52 •' 274.20 34.86 78.07 125.40 174. 43 211. 71 249.75 293.25 341.05 385.02 419. 70 28.34 44.01 75.11 105. 19 138. 41 167. 52 204.05 245.64 290.51 133. 01 153. 82 162. 61 141.38 11 12 13 14 15 132. 54 132.08 131.61 131. 14 130. 50 153. 30 153.01 152. 48 151. 72 151.20 161. 61 161. 10 160. 34 159. 59 158. 59 272. 94 258.02 236. 45 213. 93 193. 57 139. 28 135. 46 130. 47 123.65 115.54 327. 61 346.90 • 339. 31 315. 49 278.83 439.09 435.74 414.65 384.07 352. 79 255. 52 360.51 16 17 130. 03 129.57 150. 67 149. 91 282. 61 275. 34 157. 59 156. 35 176.63 163. 46 106.80 98.43 355. 65 349.65 242.65 208.87 316.98 282.42 112.58 18 19 20 128.92 128. 28 127.63 149. 14 148. 38 147.38 269. 10 261.67 254. 56 155. 35 154. 35 152. 85 153.85 147. 59 144. 39 108. 34 106. 66 108. 31 91.32 86.02 82.87 342. 61 336. 94 330. 30 181.50 160. 46 144. 24 250.40 225.90 203.93 199. 50 21 126.80 146. 38 248.39 151. 19 144.06 108. 62 81.80 322. 79 198. 10 131. 76 190. 13 22 125.98 145.38 242.45 149.96 146. 27 110. 18 82.97 315.55 196.71 122.27 185.08 23 125.15 144. 15 238. 47 148. 28 150. 53 112. 49 86.15 308. 57 195. 32 115. 28 184. 08 24 124.33 142. 92 234.57, 146. 62 155. .52 114.98 91.11 299.96 193.55 109.48 181. 79 25 123.50 141. 70 231. 31 144. 53 158. 67 116.64 97.20 291.74 191. 79 104. 49 180.36 26 122.50 140. 04 229.21 142. 68 155. 76 117.38 104. 05 283.89 189.66 100.07 176.86 27 121.50 138.60 227. 12 140. 64 152. 71 117. 40 110.29 274. 01 187.55 96.12 171. 49 28 120.50 136.96 226. 12 138. 21 149. 51 116. 70 115. 74 265.43 185. 11 92.05 164.17 29 119. 33 134. 91 225. 12 136. 02 146. 18 114.97 119.18 256.60 182. 34 88.50 157. 66 30 118.17 133. 08 22.3. 55 133. 28 142. 69 112. 84 121.41 246. 95 179. 61 85.68 150. 94 31 117. 00 131.07 222.58 130. 79 139. 05 110. 47 122. 59 237. 30 176.60 83.04 143. 80 32 115. 68 128. 89 221. 05 12S. 16 135. 32 107. 75 122.96 227. 72 173. 31 81.08 136. 17 33 114. 21 126. 56 217. 46 125.07 131. 45 105. 47 123. 00 218. 27 169. 79 79.57 129. 40 34 112. 74 124. 07 212.96 122. 06 127.49 102. 63 122. 35 208. 52 166. 06 78.00 122.92 35 111. 28 121. 28 208. 58 lis. 97 123. 40 99.64 121. 69 199.06 162. 14 76.51 116.94 36 109.53 118. 72 202.05 115. 52 119.25 96.86 119.84 189. 51 158. 06 75.12 111. 91 37 107. 79 115. 89 195. 00 112.33 115. 00 94.05 116. 68 180. 36 153. 59 73.44 107.85 38 105. 79 112.81 187. 54 108.83 110. 73 90.83 112. 40 170. 95 148. 81 71.63 104.28 39 103. 81 109. 67 179. 45 105. 34 106. 38 87.74 106. 77 161. 77 143. 99 69.77 100.86 40 101.60 106. 35 170.59 101. 74 102.03 84.50 100. 30 152.85 138. 95 67.75 97.30 41 99.42 103. 14 161. K 98.06 97.66 80.91 93.21 144.03 133. 76 65.78 93.88 42 97.04 99.54 152. 49 94.22 93.30 77.66 86.04 135. 81 128. 27 63.72 90.12 43 94.58 96.09 143. 53 90. 48 85. 97 74.63 79.14 127. 58 122. 76 61.59 86.21 44 91.85 92.44 134.36 86.74 84.66 71.66 72.72 119.48 117.43 59.36 82.51 45 89.08 88. 76 125. 40 52. 54 50.43 69.07 66.83 112.04 112.28 57.14 78.62 46 85.99 85.06 116.90 79.09 76.26 66.68 61.62 104.80 107. 18 54.85 74.96 47 82.83 81.28 108.47 7.5. 27 72.18 64.04 56.93 97.82 102. 02 52.64 71.84 48 79.41 77. 54 100. 62 71.54 65. 19 61.20 52.72 91.15 96.88 50.29 69.01 49 75.80 73.79 92.92 1 67. 85 64.30 58.15 48.91 84.89 91.89 47.99 66.38 * Sec second footnote on p. 225. -f The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, and the District of Columbia. LIFE INSURANCE MORTALITY TABLES. URE OF VITALITY.* 235 Table 89 COUNTRIES; ALSO THE MEASURE OF VITALITY TAKEN FROM THE LIFE TABLE FOR WHITE MALES IX THE TION STATES: 1910. Age. American Experiene Mortality Table: 1860. Thirty American Offices Life Tables: 1874. Males. American- Canadian Mortality Investigation: 1900-1915. American men. AM 8 658 656 765 771 787 13 740 737 641 640 655 654 811 849 263 282 195 210 15 735 638 346 654 901 277 318 22s 352 654 4,771 5,125 5,411 5,603 5,688 966 280 364 253 729 360 655 909 1,038 1, 107 284 421 283 367 655 936 289 482 318 19 20 725 723 633 633 376 385 655 657 942 919 1,162 1,192 293 298 542 599 351 387 500 21 722 633 393 660 5,662 908 1,193 304 501 651 413 22 721 633 401 661 5,538 887 1,162 310 502 696 422 23 720 634 406 664 5,345 861 1,106 316 503 732 422 24 719 635 411 667 5,140 835 1,034 324 505 764 425 25 718 636 415 672 5,006 816 959 332 507 793 426 26 718 639 417 676 5,067 804 887 340 510 820 432 27 718 641 419 681 5,135 797 829 351 513 845 443 28 718 644 419 688 5,210 795 783 361 517 873 460 29 719 649 419 694 5,293 800 754 372 522 898 476 30 720 653 420 703 5,385 808 734 385 527 917 494 31 721 658 420 711 5,487 818 721 399 533 935 515 32 723 664 421 720 5,597 831 713 414 540 946 540 33 726 671 426 732 5,719 841 707 430 548 952 564 34 » 729 679 433 744 5,851 856 705 448 557 959 589 35 732 689 440 757 5,997 873 703 467 567 965 614 36 737 698 452 771 6, 155 889 708 488 578 970 636 37 742 709 466 788 6,328 906 721 510 591 979 654 38 749 722 482 806 6,514 928 742 535 606 990 670 39 756 736 501 825 6,718 950 774 562 622 1,002 6vj 40 765 752 524 846 6,938 975 816 591 640 1, 017 704 41 774 768 549 869 7,176 1,006 869 623 660 1,032 722 42 785 788 579 895 7,433 1,035 931 656 683 1,049 744 43 797 808 611 922 7,710 1,063 1,000 693 708 1,068 769 44 812 831 648 951 8,009 1,092 1,074 734 734 "1,090 794 45 828 856 689 984 8,329 1,117 1,152 776 761 1,113 823 46 848 883 733 1,018 8,673 1,140 1,230 822 790 1,139 832 47 870 913 783 1,056 9,041 1,169 1,309 872 822 1,165 877 48 896 945 836 1,096 9,434 1,204 1,388 926 857 1,196 900 49 927 980 896 1,139 9,854 1,246 1,467 983 894 1,228 922 t The originafregistSion states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, and the District of Columbia. LIFE INSURANCE MORTALITY TABLES. NUMBER ALIVE BY ORIGINAL RADIX OF EACH TABLE. 239' Table 91 COUNTRIES; ALSO THE NUMBER OF DEATHS TAKEN FROM THE LIFE TABLE FOR WHITE MALES IX THE TION STATES: 1910. Age. American Experience Mortality Table: 1860. Thirty American Offices Life Tables: 1874. Males. American- Canadian Mortality Investigation: 1900-1915. American men. AMI') British Offices Life Tables: 1863-1893. Males. 0»W Four French Offices Mortality Experience: 1819-1887. Males and females. AF Twenty-three Herman Offices Life Tables: 1875. Males and females. Three Japanese Offices Life Tables: 1905. Males. JM(5) Seventeen Swedish Offices Life Tables: 1895-1906. Aggregate males. . National Fraternal Congress Mortality Table: 1898. * Standard Industrial Mortality Table: 1896-1905. Males. Tinted States. Original Registration States: 1909-1911 White male^. t 1 2 3 1 5 6 7 8 9 10 11 12 NUMBER OF DEATHS, d x . 50 962 1,018 959 1,185 10,298 1,303 1,542 1,044 935 1,262 943 51 1,001 1,059 1,026 1,234 10, 770 1,362 J, 611 1,110 981 1,299 971 52 1,044 1,103 1,101 1,286 11,270 1,425 1,676 1,180 1,029 1,339 1,012 53 1,091 1,150 1,178 1,343 11, 795 1,490 1,740 1,254 1,083 1,379 1,067 54 1,143 1,200 1,263 1,402 12,348 1,556 1,806 1,332 1,140 1,423 1,126 55 1,109 1,255 1,350 1,464 12,924 1,621 1,882 1,415 1,202 1,469 1,196 56 1,260 1,312 1,444 1,529 13,525 1,691 1,966 1,503 1,270 1,516 1,268 57 1,325 1,374 1,541 1,598 14, 148 1,759 2,062 1,595 1,342 1,5B6 1,333 58 1,394 1,438 1,642 1,669 14,788 1,832 2,161 1,690 1,418 1,615 1,390 59 1,468 1,505 1,746 1,742 15,444 1,900 2,259 1,790 1,501 1,666 1,448 60 1,546 1,576 1,856 1,819 16, 110 1,976 2,349 1,893 1,588 1,717 1,506 61 1,628 1,650 1,965 1,897 16,782 2,038 2,425 1,998 1,681 1,768 1,56.5 62 1,713 1,725 2,076 1,975 17,450 2,097 2,476 2,106 1,778 1,817 1,625 63 1,800 1,803 2,188 2,055 18,111 2,149 2,493 2,215 1,880 1,864 1,687 64 1,889 1,882 2,298 2,133 18,750 2,197 2,480 2,324 1,985 1,908 1,742 65 1,980 1,962 2,406 2,211 19,363 2,246 2,439 2,432 2,094 1, 948 1,789 66 2,070 2,040 2,508 2,285 19,933 2,302 2,388 2,536 2,206 1,983 1,832 67 2, 15S 2,118 2,606 2,355 20,450 2,355 2,341 2,636 2,318 2,010 1,870 68 2,243 2,190 2,694 2,421 20,901 2,399 2,316 2,729 2,430 2,029 1,907 69 2,321 2,261 2,773 2,478 21,268 2,432 2,319 2,814 2,539 2,038 1,937 70 2,391 2,323 2,839 2,527 21,540 2,452 2,343 2,888 2,645 2,037 1,959 71 2,448 2,378 2,891 2,565 21,697 2,455 2,373 2,947 2,744 2,023 1, 97S 72 2,487 2,422 2,926 2,591 21,729 2,436 2,388 2,990 2,832 1,995 1,995 73 2,505 2,453 2,942 2,602 21,619 2,406 2,369 3,014 2,909 1,952 2,005 74 2,501 2,472 2,937 2,596 21,355 2,360 2,307 3,017 2,969 1,893 2,005 75 2,476 2,472 2,910 2,572 20,929 2,299 2,201 2,995 3,009 1,820 1,997 76 2,431 2,453 2,860 2,529 20,334 2,210 2,059 2,948 3,026 1,730 1,966 77 2,369 2,416 2,786 2,466 19,566 2,103 1,891 2,873 3,016 1,625 1,904 78 2,291 2,356 2,686 2,381 18,634 1,982 1,713 2,769 2,977 1,507 1,821 79 2,196 2,274 2,565 2,276 17,542 1,848 1,532 2,637 2,905 1,377 1,737 80 2,091 2,170 2,422 2,151 16,307 1,730 1,354 2,478 2,799 1,239 1,651 81 1,964 2,044 2,258 2,007 14, 953 1,599 1,181 2,294 2,659 1,095 1,547 82 1,816 1,900 2,078 1,847 13,506 1,443 1,011 2,089 2,485 950 1,419 83 1,648 1,737 1,885 1,674 12,000 1,264 849 1,868 2,280 806 1,271 84 1,470 1,563 1,685 1,493 10,470 1,080 695 1,636 2,050 668 1,127 85 1,292 1,379 1,481 1,308 8,959 896 557 1,400 1,800 540 983 86 1,114 1,191 1,278 1,122 7,501 715 433 1,168 1,539 424 845 87 933 1,008 1,081 943 6,135 566 327 946 1,277 322 715 88 744 829 897 773 4,891 442 239 741 1,023 238 594 89 90 91 92 93 94 95 96 97 98 . 99 100 555 385 246 137 58 18 3 692 549 403 281 187 117 68 38 18 8 4 727 617 3,791 344 169 788 168 485 575 480 2,849 2,072 1,452 978 115 579 115 3V.I 442 360 75 404 74 305 332 240 263 47 264 46 234 183 27 161 26 176 168 124 631 16 89 15 130 114 79 388 8 44 8 94 74 47 27 16 9 49 28 15 8 4 226 125 65 32 14 4 2 1 19 7 3 4 2 1 66 47 31 20 13 * Not published; derived from lx in Table 90 p. 236. + The original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan,, and the District of Columbia. Part IV GRAPHS OF LIFE TABLE FUNCTIONS 150822°— 21 10 241 GRAPH 1 UNITED STATES LIFE TABLES. ANNUAL RATE OF MORTALITY PER THOUSAND TTIE ORIGINAL REGISTRATION STATES BOTH SEXES: 1910 The values on which this graph is based may hp found in column 4, page 54. 243 30 AGE IN YEARS 40 50 60 70 SO 90 IOO 600 sao 560 5*0 S20 sroo -460 ■440 420 400 380 360 340 320 300 280 260 240 220 200 ISO 160 140 120 II4.62-* 100 80 60 40 zo 160O -580 S60 to SO 30 40 50 60 A6£ IN YEARS 70 -540 -520 -soo 460 -440 4Z0 244- GRAPH 2 UNITED STATES LIFE TABLES. ANNUAL AND MONTHLY RATES OF MORTALITY PER THOUSAND THE ORIGINAL REGISTRATION STATES MALES: 1901, 1910 FEMALES: 1901, 1910 The values on which these graphs are based may be found in column 4 on the following pages: 56, males, 1901; 58, males, 1910; 60, females, 1901; 62, females, 1910. AGE in YEARS I Z AGE IN MONTHS I 5 ABE IN YEARS 60 63 70 300 290 AGE IN YEARS 70 75 80 AGE IN YEARS UNITED STATES LIFE TABLES. 245 GRAPH 3 ANNUAL AND MONTHLY RATES OF MORTALITY PER THOUSAND NEGROES IN THE ORIGINAL REGISTRATION STATES MALES: 1901, 1910 FEMALES: 1901, 1910 The values on which these graphs are based may be found in column 4 on the following pages: 76, males, 1901; 80, males, 1910; 82, females, 1901; 86, females, 1910. 7124- MALES 1901 AGE IN YEARS 60 65 DIAGRAM C AGE IN YEARS 70 75 AGE IN YEARS 248 GRAPH 4 UNITED STATES LIFE TABLES. ANNUAL AND MONTHLY RATES OF MORTALITY PER THOUSAND WHITES IN CITIES OP THE ORIGINAL REGISTRATION STATES MALES: 1901, 1910 FEMALES: 1901, 1910 The values on which these graphs are based may be found in column 4 on the following pages: 104, males, 1901; 106, males, 1910; 108, females, 1901; 110, females, 1910. AGE IN YEARS 2 age: in months 5 AGE IN YEARS 60 65 70 3 5 10 AGE IN YEARS 70 75 80 AGE IN YEARS UNITED STATES LIFE TABLES. 247 GRAPH 5 ANNUAL AND MONTHLY RATES OF MORTALITY PER THOUSAND WHITES IN THE RURAL PART OF THE ORIGINAL REGISTRATION STATES MALES: 1901, 1910 FEMALES: 1901, 1910 The values on which these graphs are based may be found in column 4 on the following pages: 112, males, 1901; 114, males, 1910; 116, females, 1901; 118, females, 1910. A6E IN YEARS I 2 AGE IN YEARS 60 65 70 Z 3 5 10 AGE IN YEARS 70 75 SO 85 AGE IN YEARS 248 GRAPH 6 MALES: 1910 UNITED STATES LIFE TABLES. ANNUAL AND MONTHLY RATES OF MORTALITY PER THOUSAND WHITES AND NEGROES IN THE ORIGINAL REGISTRATION STATES FEMALES: 1910 The values on which these graphs are based may be found in column 4 on the following pages: 68, white males; 74, white females; 80, Negro males; 86, Negro females. AGE IN YEARS 50 55 60 AGE IN YEARS 70 75 SO AGE IN YEARS UNITED STATES LIFE TABLES. 249 GRAPH 7 ANNUAL AND MONTHLY RATES OF MORTALITY PER THOUSAND WHITES IN CITIES AND RURAL PART OF THE ORIGINAL REGISTRATION' STATES MALES: 1910 FEMALES: 1910 The values on which these graphs are based may be found in column 4 on the following pages: 106, city males; 110, city females; 114, rural males; 118, rural females. AGE IN YEARS I 2 AGE IN MONTHS I 5 10 ASE IN YEARS 60 65 70 DIAGRAM C 3 5 10 AGE IN YEARS 70 75 80 85 AGE IN YEARS 20 250 UNITED STATES LIFE TABLES. GRAPH 8 ANNUAL RATE OF MORTALITY PER THOUSAND AUSTRALIA, ENGLAND, GERMANY, INDIA, ITALY, SWEDEN, AND WHITES IN THE ORIGINAL REGISTRATION STATES MALES: 1901-1910 The values on which these graphs are based may be found in columns 2, 4, 6, 8, 9, 12, and 14 of Table 7o, page 204. AGE IN YEARS 25 30 35 40 2 3 5 10 AGE IN YEARS 70 75 80 AGE IN YEARS UNITED STATES LIFE TABLES. 251 GRAPH 9 ANNUAL RATE OF MORTALITY PER THOUSAND AUSTRALIA, ENGLAND, GERMANY, INDIA, ITALY, SWEDEN, AND WHITES IN THE ORIGINAL REGISTRATION STATES FEMALES: 1901-1910 The values on which these graphs are based may be found in columns 2, 4, 6, 8, 9, 12, and U of Table 76, page 206. 252 GRAPH 10 MALES: 1890, 1901, 1910 UNITED STATES LIFE TABLES. ANNUAL RATE OF MORTALITY PER THOUSAND THE STATE OF MASSACHUSETTS FEMALES: 1890, 1901, 1910 The values on which these graphs are based may be found in column 4 on the following pages: 132, males, 1890; 134, males, 1901; 136, males, 1910; 138, females, 1W): 140, females, 1901; 142, females, 1910. AGE IN YEARS 25 30 35 40 3O0 290 DIAGRAM A DIAGRAM C 20 AGE IN YEARS 70 75 80 AGE IN YEARS UNITED STATES LIFE TABLES. 253 GRAPH 11 ANNUAL RATE OF MORTALITY PER THOUSAND AMERICAN EXPERIENCE MORTALITY TABLE: 1860 AMERICAN-CANADIAN MORTALITY INVESTIGATION: 1900-lan. AMERICAN MEN. AMffl BRITISH OFFICES LIFE TABLES: 1863-1893. MALES. 0«C) THREE JAPANESE OFFICES LIFE TABLES: 1905. MALES. J«w NATIONAL FRATERNAL CONGRESS MORTALITY TABLE: 1898 UNITED STATES. ORIGINAL REGISTRATION STATES: 1909-1911. WHITE MALES The values on which these graphs arc based may be found In columns 2, 4, 5, 8, 10, and 12 of Table 85, page 220. AGE IN YEARS 30 35 40 45 DIAGRAM C 2 3 5 10 AGE IN YEARS 65 70 75 80 AGE IN YEARS 254 GRAPH 12 MALES: 1901, 1910 UNITED STATES LIFE TABLES. NUMBER OF SURVIVORS OUT OF 100,000 BORN ALIVE THE ORIGINAL REGISTRATION STATES FEMALES: 1901, 1910 The values on which these graphs are based may be found in column 2 on the following pages: 56, males, 1901; 58, males, 1910: 60, females, 1901; 62, females, 1916. Values on the base line In Diagram C are the mean of the values of the curves represented. 95,000 85,000 80,000 75,000 K 70,000 o a. 65.00O 55,000 45,000 AGE IN YEARS 40 50 60 70 80 100 1 00,000 97,500 > 95,000 92,500 GO.000 67.500 85,000 \ w k Bt SE k°, LINE '^_ \ \ ■5s — -- \ •** ^^ *> / / ^" \ V \ rs/ Y \ \ w//o> -J 1 /~l \ \ \ \ \ \ \ \ \ \ 1 1 \ \ \ \ \ V DIAGRAM A \ N \ \ v v. \ A w 1 1 1 \\ V DIAGRAM D V v \ S- \ ^ ^ N^ ^x ^^ >^A 4/ L -fat ; 1 \ -'9p/ -*-J.S °^T~ * \ ~~- ^ iv 1,500 500 2 o c u. z o h i.ooo 5 a 1,500 2,000 2,500 35,000 1 0,000 5.000 6 8 AGE IN MONTHS 80 90 ASE IN YEARS 100 UNITED STATES LIFE TABLES. 255 GRAPH 13 MALES: 1901, 1910 NUMBER OF SURVIVORS OUT OF 100,000 BORN ALIVE NEGROES IN THE ORIGINAL REGISTRATION STATES FEMALES: 1901, 1910 The values on which these graphs are based may be found in column 2 on the following pages: 76, males, 1901; 80, males, 1910; 82, females, 1901; 86, females, 1910. Values on the base line in Diagram C are the mean of the values of the curves represented. 20 30 i oo.ooo 95.000 90,000 AGE IN YEARS 40 50 60 70 97. 500 95,000 92,500 a. o > 90.000 > a: u. 87,500 O 2 85,000 Z 80,000 DIAGRAM A DIAGRAM C 4 6 8 AGE IN MONTHS V* BASE LINE ^^ // a 1,000 40,000 § 35,000 u. O 30,000 2 1 0,000 80 90 AGE IN YEARS 256 UNITED STATES LIFE TABLES. GRAPH 14 NUMBER OF SURVIVORS OUT OF 100,000 BORN ALIVE WHITES IN CITIES OF THE ORIGINAL REGISTRATION STATES MALES: 1901, 1910 FEMALES: 1901, 1910 The values on which these graphs are based may be found in column 2 on the following pages: 104, males, 1901; 106, males, 1910; 108, females, 1901; 110, females, 1910. Values on the base line in Diagram O are the mean of the values of the curves represented. 100,000 I 9S.OOO AGE IN YEARS- 40 SO 60 b. 92,500 O 2 90,000 z 87.SOO 85,000 \ soo • 250 *<>& BASE **?5 o 250 LINE.<>/-~? 0// f/y 7® / / ' 500 DIAGRAM C l- > u a 65,000 o > > is 30,000 £ m 2 Z 25,000 20,000 I 5,000 ■ 5.000 4 6 8 AGE IN MONTHS 150822°— 21 17 UNITED STATES LIFE TABLES. 257 GRAPH 15 NUMBER OF SURVIVORS OUT OF 100,000 BORN ALIVE WHITES IN liVIi VT, PART OF THE ORIGINAL REGISTRATION STATES MALES: 1901, 1910 FEMALES: 1901, 1910 The values on which these graphs arc based may be found in column 2 on the following pages: 112, males, 1901; 114, males, 1910: 116, females, 1901: 118, females, 1910. Values on the base line in Diagram C are the mean of the values of tho curves represented. I 00,000 95,000 40 AGE IN YEARS 50 ioo 80.000 75,000 > 70.000 o: 65,000 2 z 60,000 50,000 45,000 35,000 I 00,000 97,500 o > 95,000 92,500 % 90,000 87,500 85,000 50,000 V /' A r \ / / / *tf \--„ BASE \°\ VA- LINE -_>-.. / ^~ ff &', 1 $ f f / V / N \ DIAGRAM C 1 1 1 1,500 30.000 9, 4 6 8 AGE IN MONTHS 150822°— 21 17 258 UNITED STATES LIFE TABLES. GRAPH 16 NUMBER OF SURVIVORS OUT OF 100,000 BORN ALIVE WHITES AND NEGROES IN THE ORIGINAL REGISTRATION STATES MALES: 1910 FEMALES: 1910 The values on which these graphs are based may be found in column 2 on the following pages: 68, white males; 74, white females; 80, Negro males; 86, Negro females. Values on the base line in Diagram C are the mean of the values of the curves represented. AGE IN VEARS 40 SO SO I 00,000 I 95,000 eaooo 75,000 70,000 60,000 I 00,000 ■ 97,500 95.000 S2.50O w 90,000 o > > DC Z> m 87,500 O tr CD Z 85,000 82,500 80,000 75,000 DIAGRAM A DIAGRAM C \ I \ \ \ V; \ t ^ 1 i ^ m $ r \ \ BASE LINE \T - / > -~ / t / i / i */ s 1 '"i > -j/ J/ i;' ' S' # ;?/ ,«/ ki *' ^ ' / i / 1,500 1,000 500 500 1,000 1,500 55,000 50,000 45,000 35,000 30,000 > O 25,000 it 5 D 20,000 Z 15,000 5.O00 70 80 90 AGE IN YEARS UNITED STATES LIFE TABLES. 259 GRAPH 17 NUMBER OF SURVIVORS OUT OF 100,000 BORN ALIVE WHITES IN CITIES AND IN RURAL PART Ol? THE ORIGINAL REGISTRATION STATES MALES: 1910 FEMALES: 1910 The values on .vhich these graphs are basnet mav be found in column 2 on the following pages: 106, city males; 110, city females; 114, rural males; 118, rural females. Values on the base line in Diagram C are the mean of the values of the curves represented. I 00,000 95,000 90,000 85,000 80,000 75.000 30 AGE IN YEARS 40 50 60 80 100 cr 70,000 65.000 2 D z 55,000 40,000 35,000 DIAGRAM A 1 00,000 \ c IAGF AM D ' \ \ :> -^, 9^4 l.f-1 -• — . -Rut "U. F ^ -V =5. u a ii.Nl, [s_ "^ 65.O00 DIAGRAM C 1 \ 1 1 1* 1C f BASE \ A LINE'^ii^ 1" / 5 & / / to/ -j] >/ 1 1,000 750 500 250 250 500 750 1,000 1,250 Z 45,000 40,000 35,000 uj o > 30,000 => 25,000 £ m 2 D Z I 5,000 1 0,000 5,000 4 6 8 AGE IN MONTHS 90 YEARS o 100 260 UNITED STATES LIFE TABLES. GRAPH 18 NUMBER OF SURVIVORS OUT OF 100,000 BORN ALIVE AUSTRALIA, ENGLAND, GERMANY, INDIA, ITALY, SWEDEN, AND WHITES IN THE ORIGINAL REGISTRATION STATES MALES: 1901-1910 \ The values on which these graphs are based may be found in columns 2, 4, 6, 8, 9, 12, and 14 of Table 77, page 208. I OO.OOO 95.000 30 AGE. IN YEARS 40 50 60 80 90 85,000 80,000 75,000 g 55,000 > > "> 50,000 O 2 45,000 z 40,000 35,000 30,000 25,000 20,000 IO,OpOi I 0,000 5,000 -. K -^ t\ •-~-. -^ i,\ \ " s s.. ^ \ ■^0„ \ \ N ■*. v ^v, < \ ■—"-.*«. ""-»_ % Z X \ 1 V *-. \ s. - s 1 '* 1 "*■- "■Ox N s \ ■v *'*, \ \ ? \ t V$j \ % \ \ % x s \ \ \ \ \ \ \\ \ *v \ \ \ N V \\ \ \ '. V . V \ ' \ \ \ *\ \'\ v s v\ \ ^ A \ •• \ \ w V \ \ \ \\ ^ \ \ \ \ 'V \ \ \ & \ \ \ 1 \ \ \ \\ \ \ \w \\\ N \ s 4- \ ^ '• v \ X V > ^ ^X 10 30 40 50 60 AGE IN YEARS 70 80 90 100 1 00,000 95,000 90,000 75,000 70,000 65,000 55,000 ° > 50,000 b. o 45,000 2 z 40,000 30,000 2 5,000 100 UNITED STATES LIFE TABLES. 261 GRAPH 19 NUMBER OF SURVIVORS OUT OF 100,000 BORN ALIVE AUSTRALIA, ENGLAND, GERMANY, INDIA, ITALY, SWEDEN, AND WHITES IN THE ORIGINAL REGISTRATION STATES FEMALES: 1901-1910 The values on which these graphs are based may be found in columns 2, 4, 6, 8, 9, 12, and 11 of Table 78, page 210. 100,000 96,000 30 AGE IN YEARS 40 50 60 70 80 90 80,000 70,000 65,000 § 55,000 u. 50,000 o 2 45,000 Z 35,000 30,000 25,000 I 5.000 I 0,000 40 50 60 AGE IN YEARS 100 I r \ / ^ 1 \ 1 ■^ *v. ^ \ \ \ | 1 i i i \ s '^■C s \ \ N S s \ \ ! j I i \ ■~^„ * \ \ \ \ i i l '- v >-. ^ \ X < kj- ■** S (. \ s ! \ \ i "X^ \ \ \ \ \ \ \ \ N \ \ \ \ \ \ \ \ \ > \ \ V i \ \ \ \ V \ % \ \\\ w V, \ v_ \ \ \ . \ \ \\ \ \ \ \ V \ v \\ \ \ V \ \\ \ \\ 1 w \ \ V \\\ \ N \ N. v ^ •v 1. I 00,000 95,000 90,000 - 85,000 80,000 7 5,000 55,000 § > 45,000 § Z 40,000 30.000 20,000 I 5,000 10,000 5,000 O 100 262 GRAPH 20 MALES: 1890, 1901, 1910 UNITED STATES LIFE TABLES. NUMBER OF SURVIVORS OUT OF 100,000 BORN ALIVE THE STATE OF MASSACHUSETTS FEMALES: 1890, 1901, 1910 The values on which these graphs are based may be found in column 2 on the following pages: 132, males, 1890; 134, males, 1901; 136, males, 1910; 138, females, 1890; 140, females, 1901; 142, females, 1910. 100,000 95.000 90,000 85,000 8O.O00 75,000 70,000 65,000 60,000 «i it o I 55,000 IE D CO £ 50,000 20 30 AGE IN YEARS 40 SO 60 70 CD | 45,000 z 40,000 35,000, 30,000 25,000 20,000 I 5,000 1 0,000, 5,000 80 IO 20 30 40 50, 60 ASE IN YEARS 70 90 f\ IV •* ^ ' — _ *— .« V' v"**"-^ 'X "— V ^ \ V " fc, ** - ^ X '--t \ \ S,. V s. ?X ^ X s \ i 4r '% V *.,. \ \ \ . \ v . 1 -a. X \ \ \ \ \ \ \ \V v .... \ r \ \ X \ \ * \ \ \ \ N \X \ 1 \ \ \ \ \ V i \ w \ \ \ \ \ \\ ' 8& \> \ A\ ^ *, \v \ W v ' \ v\ ' 4\ \ \1 \ k V ^ JXtmmatm IOO I 00,000 9S.OOO 90,000 85,000 80,000 75,000 70,000 65,000 60,000 (|). It o > 55,000 > D (0 50,000 o cr u ID 45,000.5 Z 40,000 35,000 30,000 25,000 20,000 15,000 ! 0,000 5,000 80 90 o 100 UNITED STATES LIFE TABLES. 263 GRAPH 21 NUMBER OF SURVIVORS OUT OF 79,116 AT AGE 20 AMERICAN EXPERIENCE MORTALITY TABLE: 1860 AMERICAN-CANADIAN MORTALITY INVESTIGATION: 1000-1915. AMERICAN MEN. AMB BRITISH OFFICES LIFE TABLES: 1863-1893. MALES. 0»(5) THREE JAPANESE OFFICES LIFE TABLES: 1905. MALES. J"(») NATIONAL FRATERNAL CONGRESS MORTALITY TABLE: 1S9X UNITED STATES. ORIGINAL REGISTRATION STATES: 1909-1911. WHITE MALES The values on which these graphs are based may be found in columns 2, 4, 5, 8, 10, and 12 of Table 86, page 228. See section 79, page 46. 100,000 95,000 80,000 83,000 80,ooo 75,000 70,000 65,000 60,000 to or o > 55,000 > tr to u. 60,000 o 2 45.OOO z 35,000 30,000 25.000 20,000 I 5,000 5,000 AGE IN YEARS SO BRITISH OF FICE S, MIS > 100,000 95,000 80,000 35,000 SO.00O 75,000 70,000 65,000 60,000 55,000 § > x D 10 50,000 u. .45,000 2 z 4-0,000 30.000 25,000 20,000 I 5,000 5,000 4-0 SO 60 AGE IN YEARS 264 GRAPH 22 UNITED STATES LIFE TABLES. NUMBER OF DEATHS OUT OF 100,000 BORN ALIVE THE ORIGINAL REGISTRATION STATES MALES: 1901, 1910 FEMALES: 1901, 1910 The values on which these graphs arc based may be found in column 3 on the following' pages: 56, males, 1901; 58, males, 1910; 60, females, 1901; 62, females, 1910. AGE IN YEARS O 5 10 AGE IN YEARS 12 3 30,000 r AGE IN MONTHS O 2 4 6 8 10 UNITED STATES LIFE TABLES. 265 GRAPH 23 NUMBER OF DEATHS OUT OF 100,000 BORN ALIVE XEdROES IN THE ORIGINAL KKli JSTT'.ATION STATICS MALES: 1901, 1910 FEMALES: 1901, 191 'I The values on which theso graphs are based may be found in column 3 on the following pages: 70, males, 1901; 80, males, 1910; 82, females, 1901; 8G, females, 1910. 3000 2.900 £800 2,700 2600 £500 2.400 2.300 2.200 2100 2000 1.900 1.800 1.700 2 A 6 8 10 21,935 22.00C 21,475 m4les 1901 r DIAGRAM A -> ^"FEMALES 1901 2QOO0 ^ 18.000 ° 16.000 £■ 14,000 m 2 § 12.000 FEMALES |9I0 MALES 190I 7,500 UJ a to zi <2 ul — 7.000 6,300 6,00ff 5500 5,000 4500 4000 3,500 3,000 2500 2000 1500 1.000 500 *-7, 170 M UEit 131 J *- 6,380 Ft IV Al Ell 1 SI ) *- 6.o;'2 FIAAJ.E i IB£ 1 D1AC RA v) D 1, i { i i \ -■^ AGE IN YEARS 60 60 70 75 80 85 90 95 IOO — raooo 2500 £800 2.700 2600 £500 2400 2300 2200 2.100 2.000 .900 t- 1.600 < 1.500 O 266 UNITED STATES LIFE TABLES. GRAPH 24 NUMBER OF DEATHS OUT OF 100,000 BORN ALIVE WHITES IN CITIES OF THE ORIGINAL REGISTRATION STATES MALES: 1901, 1910 FEMALES: 1901, 1910 The values on which these graphs are based may be found in column 3 on the following pages: 104, males, 1901; 106, males, 1910; 108, females, 1901; 110, females, 1910. AGE IN YEARS O 5 10 AGE IN YEARS 12 3 28,000 7500 AGE IN MONTHS O 2 4 6 8 10 AGE IN YEARS 60 65 70 75 30 65 90 95 100 3.000 2.900 2.700 2:600 2500 2.400 2300 2Z00 2,100' 2000 ,900 1,800 IJOOi it 1.500 K UNITED STATES LIFE TABLES. 267 GRAPH 25 NUMBER OF DEATHS OUT OF 100,000 BORN ALIVE WHITES IN THE RURAL PART OF THE ORIGINAL REGISTRATION STATES MALES: 1901, 1910 FEMALES: 1901, 1910 The values on which these graphs are based may be found in column 3 on the following pages: 112, males, 1901; 114, males, 1910; 116, females, 1901; 118, females, 1910. 268 UNITED STATES LIFE TABLES. GRAPH 26 MALES: 1910 NUMBER OF DEATHS OUT OF 100,000 BORN ALIVE WHITES AND NEGROES IN THE ORIGINAL REGISTRATION STATES FEMALES: 1910 The values on which these graphs are based may be found in column 3 on the following pages: 68, white males; 74, white females; 80, Negro males; 86, Negro females. AGE IN YEARS O 5 10 AGE IN YEARS 12 3 3o;ooo AGE IN MONTHS fi 2 4 6 8 10 7,5 06f- 5 ao 85 90 95 100 UNITED STATES LIFE TABLES. 269 GRAPH 27 NUMBER OF DEATHS OUT OF 100,000 BORN ALIVE WHITES IN CITIES AND IN RURAL PART OF THE ORIGINAL REGISTRATION STATES MALES: 1910 FEMALES: 1910 The values on which these graphs are based may be found in column 3 on the following pages: 106, city males; 110, city females; 114, rural males; 118, rural females. AGE IN YEARS O 5 10 AGE IN YEARS AGE IN MONTHS O 2 4 6 8 10 45 50 55 AGE IN YEARS 270 UNITED STATES LIFE TABLES. GRAPH 28 NUMBER OF DEATHS OUT OF 100,000 BORN ALIVE AUSTRALIA, ENGLAND, GERMANY, INDIA, ITALY, SWEDEN, AND WHITES IN THE ORIGINAL REGISTRATION STATES MALES- 1901-1910 The values on which these graphs are based may be found in columns 2, 4, 6, 8, 9, 12, and 14 of Table 79, page 212. UNITED STATES LIFE TABLES. 271 GRAPH 29 NUMBER OF DEATHS OUT OF 100,000 BORN ALIVE AUSTRALIA, ENGLAND, GERMANY, INDIA, ITALY, SWEDEN, AND WHITES IN THE ORIGINAL REGISTRATION STATES FEMALES: 1901-1910 _ The value on which these graphs are based may be found in columns 2, 4, 0, S, 9, 12, and 14 oi Table 80, page 214. AGE IN YEARS O 5 10 AGE IN YEARS _0 I 2 3 272 GRAPH 30 MALES: 1890, 1901, 1910 UNITED STATES LIFE TABLES. NUMBER OF DEATHS OUT OF 100,000 BORN ALIVE THE STATE OF MASSACHUSETTS FEMALES: 1890, 1901, 1910 The values on which these graphs are based may be found in column 3 on the following pages: 132, males, 1890; 134, males, 1901; 136, males, 1910; 138, females, 1890; 140 females, 1901; 142, females, 1910. AGE IN YEARS O 5 10 AGE IN YEARS 12 3 30,000 UNITED STATES LIFE TABLES. 273 GRAPH 31 NUMBER OF DEATHS OUT OF 79,116 ALIVE AT AGE 20 AMERICAN EXPERIENCE MORTALITY TABLE: 1860 AMERICAN-CANADIAN MORTALITY INVESTIGATION: 1900-1915. AMERICAN MEN AMW BRITISH OFFICES LIFE TABLES: 1863-1893. MALES. 0"W THREE JAPANESE OFFICES LIFE TABLES: 1905. MALES J«(5> NATIONAL FRATERNAL CONGRESS MORTALITY TABLE: 1898 UNITED STATES. ORIGINAL REGISTRATION STATES: 1909-1911. WHITE MALES The values on which these graphs are based may be found in columns 2, 4, >, 8, 10, and 12 of Table 87, page 230. See section 79, page 4rt. AGE IN YEARS 5 '0 15 20 25 30 35 40 45 50 55 60 65 70 75 60 65 90 95 100 2300 - 2300 2800 2700 2j600 2500 2.-4O0 2300 2200 2100 2000 1.900 1,800 1.700 U) I 1- l.600< UJ D ISOOo a. u l.400f 3 Z l.3DCr -. _ 1.200 1.100 1.000 900 BOO 700 600 500 400 300 200 100 )0 li 2700 - £.300 - . \ / / i /,- \ \ \ h / \ \ \ \ 1.900 1.800 ,/' A c S V- ' \ i /l y ~~'' v * i \ 1 j ; j It ' v (0 I (- i 1 lik i O 1 1 ' i n \ a: f 1400 / 4 : , i it \ V 1 ' V-" 1 ' Z a/:/ ii 7 \ \\\ \\\ - i 1 ■ Li ill. I \ X \ \ 'ill '■ If \ i V V ,1 '■'\ II 1 \\ \ 1 'H - ' / / ,7 1 \ i i i /', / / / / I w T i \ St / / \ \'\ T uA> "S51CA N_EXP \ ERIE.NC E .f \ i A _BRJTIS H_QFF! tf&sr &'>■*?... J* #"; \ V 3 -^nat vO?^ & ' V , A JERIC/ N-c.^r *y> \ v i \ \ 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75. 80 85 90 95 IC AGE IN YEARS 150822°— 21- -18 274 GRAPH 32 MALES: 1901, 1910 UNITED STATES LIFE TABLES. COMPLETE EXPECTATION OF LIFE ORIGINAL REGISTRATION STATES FEMALES: 1901, 1910 Tho values on which these graphs are based may be found in column 5 on the following pages: 56, males, 1901; 58, males, 1910; 60, females, 1901; 12, females, 1910. Values on the base line in Diagram C are the mean of the values of the curves represented. AGE IN YEARS 10 IS 20 25 AGE IN MONTHS O 2 4 6 8 10 12 24 36 DIAGRAM A AGE IN YEARS 35 40 7" $z LjA^f 5 ' — '-"■?'- DIAGRAM C 62 60 l<3in f EMAL§S— 58 s' s' ISOI *• / ,' rEM.A^ts^^;-: /' s<- "^ALt* 1901 / / jA&i~—"~ 1 - 5 • A F pi A L Z S I9IO * / S2 / b?° so i"i:ivl A L ES 1901 50 H-4 1 .1X1 MA s 1910 GRAM — 1 48 >-4 7 t u MAI. s ISOI 46 DIAGRAM B 38 z O V- < 36 h 75 80 85 90 95 100 AGE IN YEARS 73 80 85 AGE IN YEARS 90 so UNITED STATES LIFE TABLES. 275 GRAPH 33 MALES: 1901, 1910 COMPLETE EXPECTATION OF LIFE NEGROES IN THE ORIGINAL KErilSTKATION STATES FEMALES: 1901, 1910 The values on which these graphs are based may be foimri in column 5 on tho following pages: 70, males, 1901; 80, males, 1910; 82, females, 1901; SO, females, Win. See last question in section .On, page 38. 50 20 55 60 65 AGE IN YEARS 70 75 80 85 90 95 DIAGRAM B IOO 20 a' 2 4 6 8 IO 12 24 I ASE IN MONTHS S-32.S4 MALES 1901 36 25 35 40 AGE IN YEARS 276 GRAPH 34 MALES: 1901, 1910 UNITED STATES LIFE TABLES. COMPLETE EXPECTATION OF LIFE WHITES IN CITIES OF THE ORIGINAL REGISTRATION STATES FEMALES: 1901, 1910 The values on which these graphs are based may be found in column 5 on the following pages: 104, males, 1901; 106, males, 1910; 108, females, 1901; 110, females, 1910. Values on the base line in Diagram C an 1 the mean of the values of the curves represented. 62 SO 58 AGE IN YEARS IO 15 20 25 ASEIN MONTHS O 2 4 6 8 IO 12 24 -/=^ DIAGRAM A o.9 ... PS _- 91 fr£.tv/}A.\=&— - --'' v 1901 *,**&>&%£ ^'■t3\AC& s / s* 1 J ^--rsioi -5 .SJPFEMAL IS 1910,^.-^ ' 1 ' -'" "-.|. J.90 fE M «._e:s 1901 --■^'■32 IV/.l.Eii I9IO , / DIAGRAM D 1 1 1 ilUJll 'I' . ' 36 62 SO 58 56 54 52 50 48 46 44 21 > u 50 u. 40S z o 38 H ? o u 36 £ u 50 60 70 80 90 IOO 65 AGE IN YEARS 70 75 SO 85 AGE IN YEARS SO 95 UNITED STATES LIFE TABLES. 277 GRAPH 35 COMPLETE EXPECTATION OF LIFE WHITES IN RURAL PART OF THE ORIGINAL REGISTRATION STATES MALES: 1901, 1910 FEMALES: 1901, 1910 The values on which these graphs are based may be found in column 5 on the following pages: 112, males, 1901; 114, males, 1910; 116, females, 1901; 118 females 1910 Values on the base line in Diagram O are the mean of the values of the curves represented. AGE IN YEARS IO 15 20 25 AGE IN MONTHS O 2 A 6 8 IO 12 24- 36 FO.1 2 0.2 Q 80 90 IOO AGE IN YEARS males .igrcrc, g- rjyiAU3._]gtgi - : ST/TUTS isoi- DIAGRAM D AGE IN YEARS 35 40 'FEMALES T5lO -an eo 62 58 56 54 52 50 DIAGRAM B 48 46 44 £ < kl > 42 z L. 40 -i 38 I h < 34 28 26 75 80 85 AGE IN YEARS 90 95 278 UNITED STATES LIFE TABLES. GRAPH 36 COMPLETE EXPECTATION OF LIFE WHITES AND NEGROES IN THE ORIGINAL REGISTRATION STATES MALES: 1910 FEMALES: 1910 The values on which these graphs are based may be found in column 5 on the following pages: 68, white males; 74, white females; 80,. Negro males; 86, Negro females. See second question in section 53, page 39. ASE IN YEARS S IO 62 60 15 70 75 80 AGE IN YEARS 85 90 95 100 DIAGRAM B 2 AGE IN YEARS 30 35 40 SO DIAGRAM A 48 46 42 > 38 36 h- 34 32 28 24 20 18 SO 55 BO 65 AGE IN YEARS 70 25 35 AO AGE IN YEARS 45 BO UNITED STATES LIFE TABLES. 279 GRAPH 37 COMPLETE EXPECTATION OF LIFE WHITES IN CITIES AND IN RURAL PART OF THE ORIGINAL REGISTRATION STATES MALES: 1910 FEMALES: 1910 The values on which these graphs are based may be found in column 5 on the following pages: 106, city males; 110, city females; 114, rural males; 118, rural females. \ alues on the base line in Diagram are the mean of the values of the curves represented. 62 AGE IN YEARS IO 15 20 25 AGE IN MONTHS O 2 4 6 8 IO 12 24 36 DIAGRAM A — AGE IN YEARS 35 40 42 k*'" RURAL MALES -' / / j R J RA _ F EMALES^lv/lALt: :> / L .«-' >' 1 ^LF AL. MALES / lTV wse^&s- I i / h ? -:.ij^ Z !'"•' F EifVlALES J I CIV M ules 62 SO 58 56 54 52 50 48 ) 44 in 40^ L. O 38 | K < 36 £ Id Q- X Ul 34 2.8 75 80 85 90 95 IOO AGE IN YEARS 65 70 80 85 AGE IN YEARS 280 UNITED STATES LIFE TABLES. GRAPH 38 COMPLETE EXPECTATION OF LIFE AUSTRALIA, ENGLAND, GERMANY, INDIA, ITALY, SWEDEN, AND WHITES IX THE ORIGINAL REGISTRATION STATES MALES: 1901-1910 The values on which these graphs are based may be found in columns 2, 4, 6, 8, 9, 12, and 14 of Table 81, page 216. See next to last question in section 50, page c 62 15 20 ASE IN YEARS 25 30 40 45 DIAGRAM A SO 56 52 50 48 46 SO 62 in a: u 42 r Z u 40t 38 z O < 34 30 28 26 24 20 UNITED STATES LIFE TABLES. 281 GRAPH 39 COMPLETE EXPECTATION OF LIFE AUSTRALIA, ENGLAND, GERMANY, INDIA, ITALY, SWEDEN, AND WHITES IN THE ORIGINAL REGISTRATION STATES FEMALES: 1901-1910 The values on which these graphs arc based may be found in columns 2, 4, 6, 8, 9, 12, and 14 of Tablo 82, page 218. See next to Ia-t question in section 50, page 38. 62 60 of X -V 10 15 iL^ x r:vs\ /S8.84- Aii STRALIA -23.31 INDIA AGE IN YEARS 2Q 25 30 35 45 DIAGRAM A DIAGRA.M B 44 if, It < > 50 62 50 70 75 80 AGE IN YEARS 85 SO 60 ^^- IQO 14 282 GRAPH 40 MALES: 1890, 1901, 1910 UNITED STATES LIFE TABLES. COMPLETE EXPECTATION OF LIFE STATE OP MASSACHUSETTS FEMALES: 1890, 1901, 1910 The values on which these graphs are based may be found in column 5 on the following pages: 132, males, 1890; 134, males, 1901; 136, males, 1910; 138, females, 1890; 140, females, 1901; 142, females, 1910. I O I 5 AGE IN YEARS 20 2 5 30 35 40 62 60 DIAGRAM A DIAGRAM B 45 SO 62 60 58 56 54 52 SO 48 46 05 cr 44< 42 ; 40- 38o «. 36o a. x 34 w 32 30 28 26 24 22 20 50 55 60 65 70 75 80 AGE IN YEARS 35 SO 9S IOO UNITED STATES LIFE TABLES. 283 GRAPH 41 COMPLETE EXPECTATION OF LIFE AMERICAN EXPERIENCE MORTALITY TABLE: I860 AMERICAN-CANADIAN MORTALITY INVESTIGATION: 1900-1915. AMERICAN MEN. AMID BRITISH OFFICES LIFE TABLES: 1S63-1893. MALES. 0«W THREE JAPANESE OFFICES LIFE TABLES: 1905. MALES. J*<«) NATIONAL FRATERNAL CONGRESS MORTALITY TABLE: 1S98 UNITED STATES. ORIGINAL REGISTRATION STATES: 1909-1911. WHITE MALES The values on which these graphs are based may be found in columns 2, 4, 5, 8, 10, and 12 of Table 88, page 232. 62 60 IO 15 AGE IN YEARS. 2Q 25 3Q AA w 35 40 45 50 62 eo 58 56 52 50 55 60 65 70 75 80 AGE IN YEARS 284 GRAPH 42 UNITED STATES LIFE TABLES. MEASURE OF VITALITY THE ORIGINAL REGISTRATION STATES MALES: 1901, 1910 FEMALES: 1901, 1910 The values on which these graphs are based may be found in column 7 on the following pages: 56, males, 1901; 58, males, 1910; 60, females, 1901; 62, females, 1910. Values on the base line in Diagram C are the mean of the values of the curves represented. 560 AGE IN YEARS 20 30 40 DIAGRAM A AGE IN YEARS 80 90 60 AGE IN MONTHS 1 2 3 4 5 6 7 8 9 10 II ~r / / / / / / / / .\ r > / f 7^ / / / / / s'y /s s / / fs / 1 DIAGRAM D 240 144 O IZO-u 72 24 O 100 V \ y S ^L. <& Xjr& --** S.V- « , m '?/ BAS \.*~ LINE ■s?-* .oOl ***** >-*-£ lALtfiy &. >?/ «P 1.4 1.2 10 •8 z 6 u .4 5 *- z 2 O 6 Ld Q .8 10 1.2 1.4 40 50 AGE IN YEARS UNITED STATES LIFE TABLES. 285 GRAPH 43 MEASURE OF VITALITY NEGROES IN THE ORIGINAL REGISTRATION STATES MALES: 1901, 1910 FEMALES: 1901, 1910 The values on which these graphs are based may be found in column 7 on tho following pages: 70, males, 1901; 80, males, 1910; 82, females, 1901; 86, females, 1910. Values on the base line in Diagram C are the mean of the values of the curves represented. 560 540 520 5| 300 > l. 280 AGE IN YEARS 30 DIAGRAM A AGE IN MONTHS 012345678 9 10 II AGE IN YEARS 80 90 50 AGE IN YEARS 286 GRAPH 44 MALES: 1901, 1910 UNITED STATES LIFE TABLES. MEASURE OF VITALITY WHITES IN CITIES OP THE ORIGINAL REGISTRATION STATES FEMALES: 1901, 1910 The values on which these graphs are based may be found in column 7 on the following pages: 104, males, 1901; 106, males, 1910; 108, females, 1901; 110, females, 1910. Values on the base line in Diagram C are the mean of the values of the curves represented. AGE IN YEARS 30 AGE IN MONTHS 12 3 4 5 6 7 8 9 IP H DIAGRAM A i- AGE IN YEARS 80 90 / / / / N<»>' 7~ * / & V / ,+y / 96£ in 72 5 I ■-*\ /I Yfr ■$\ 3 .'A '5/ >>■ \\ V — ^ "*~~~*\ BASE LINE u^"^- .- -- — -*. /^~y _ALES_ --J£p/ •*- I ~/$ 1 / s / <$& it" //' •50 AGE INYEARS UNITED STATES LIFE TABLES. 287 GRAPH 45 MEASURE OF VITALITY WHITES IN RURAL PART OF THE ORIGINAL REGISTRATION STATES MALES: 1901, 1910 FEMALES: 1901, 1910 The values on which these graphs are based may 'be found in column 7 on the following pages: 112, males, 1901; 114, males, 1910; 116, females, 1901; 118, females, 1910. Values on the base line in Diagram O are the mean of the values of the curves repreienLed. AGE IN YEARS 30 40 AGE IN MONfHS 01 2345678 AGE IN YEARS 80 90 I \ \ \ P. "~ XvJ i. Ms .BASE LINE '<&- J9/o"- J?0/ \y __ - 1, ts i Q°i^ •£■="* — / ^° ' 9V Hi _A^£ 1.8 1.6 1.4 1.2 1.0 0.8| Ul 0.6 2 0,4 2 o 0.2 E o.o I 0.2^ °--*5 0.6 Q 0.8 1.0 1.2 1.4 SO AGE IN YEARS 288 GRAPH 46 MALES: 1910 UNITED STATES LIFE TABLES. MEASURE OF VITALITY WHITES AND NEGROES IN THE ORIGINAL REGISTRATION STATES FEMALES: 1910 The values on which these graphs are based may be found in column 7 on the following pages: 68, white males; 74, white females; 80, Negro males; 86, Negro females. Values on the base line in Diagram C are the mean of the values of the curves represented. 960 AGE IN YEARS 30 40 AGE IN MONTHS 1 2 3 4 5 6 7 8 9 10 II 264 UNITED STATES LIFE TABLES. 289 GRAPH 47 .MALES: 1910 MEASURE OF VITALITY WHITES IN CITIES AND RURAL PART OF THE ORIGINAL REGISTRATION STATES FEMALES: 1910 The values on which these graphs are based may be found in column 7 on the following pages: 106, city males; 110, cil y females; 114, rural males: 118, rural females. Values on the base line in Diagram C are the mean of the values of the curves represented. AGE IN YEARS 30 40 DIAGRAM A AGE IN MONTHS 01 23456789 10 II i '' / i / / 1 1 1 i ' r i *>" i # pi ? & y / / / / -,/ * ,// & «■> <,?/ £ #? . ■0/ / t / / ^ f / i / / / c / p $ ■ f /' 1, / i) f 1 DIAGRAM D 336 31 2 288 I 92-! <. I68u. I44J, < ui 2 120 24 O AGE IN YEARS 75 80 85 90 95 100 ^ \f \ f\ . \ -ON V?£s v c ,____ %jp ^■'i ASE ^. INE ^ iEFf' "x~ --- (*/ *7 of 1 1 I ' 1.8 1.6 1.4 1.2 1.0 0.8 06 z 0.4 3 2 0.2 s 0.0 g o 0.4 - 0.6 S 0.8 o 1.0 1.2 1.4 1.6 13 2X> 40 50 AGE IN YEARS 150822°— 21 19 290 UNITED STATES LIFE TABLES. GRAPH 48 MEASURE OF VITALITY AUSTRALIA, ENGLAND, GERMANY, INDIA, ITALY, SWEDEN, AND WHITES IN THE ORIGINAL REGISTRATION STATES MALES: 1901-1910 The values on which these graphs are based may be found in columns 2, 4, 6, 8, 9, 12, and 14 of Table S3, page 220. 540 « 300 t- 3 260 < 40 20 AGE IN YEARS 50 1 /, II \l i! 1 1 / 1 1! .'il 1! 'I 1 1 e 1 ' !! 1 i l 1 i i. 1 i • i 1 5,'/ \ \ i i:( M \ i ;i /ll ( 1 \ 1 1 !:i - ill) ; | ; i\\ 1 1 if' '4/ 1 i i' i v \ 1 1 if: f . il w 'A 1 1 ■I * Vi\ \\ 1 1 J: \ 1 1 \ 1 J JJ It I v. V -vV\ 'V— ■' ^8 ---V If 1 • V v, -a fr\ \', III : I' s itrr / I N ^ If; 1/ 1 1 ^ -^ 'to,, "*s i ' V / "---. ~~-~ -— __ Ni 1 ~ — - — -^? ?2i*g ,S60 S40 S2Q 300 q h 50 AGE IN YEARS UNITED STATES LIFE TABLES. GRAPH 49 MEASURE OF VITALITY AUSTRALIA, ENGLAND, GERMANY, INDIA, ITALY, SWEDEN, AND WHITES IN THE ORIGINAL REGISTRATION STATES FEMALES: 1901-1910 The values on which these graphs are based may be found in columns 2, 4, 6, 8, 9, 12, and 14 of Table 84, page 222. 291 AGE IN YEARS 40 SO 60 \\ 1 I \ 1 I 1 1 1 1 I 1 1 640 620 3 10 15 SECTION A-B 560 5/10 S20 500 490 260 = 292 GRAPH 50 MALES: 1890, 1901, 1010 UNITED STATES LIFE TABLES. MEASURE OF VITALITY THE STATE OP MASSACHUSETTS FEMALES: 1890, 1901, 1910 The values on which these graphs are based may be found in column 7 on the following pages: 132, males, 1890: 134, males, 1901; 136, males, 1910; 138, females, 1890; HO, females, 1901; 142, females, 1910. 540 520 460 440 420 40O 380 3B0 340 320 < 300 > ~h Z8 ° 240 220 200 180 160 80 60 10 AGE IN YEARS 40 SO 60 80 90 30 SO 60 ASE IN YEARS 80 90 1 \ f I \ 1 | \ \ 1 I V 1 1 n 1 1/ h\ Hi li ! v \ \ I t li \\ \\ 'i' 1 .' 4 J 1 ' \ \ li \> VI •-x i\< V v.i '\ i\ 1 \ " ' ? / ■ \ \\\ \ j II U V \ \ // "\ l' \ "ft \ I !/ \\ \ 1 i I f ^ \ \ *»l 1 ' 1 / 1 ! \ ^ V 1 i 1 ».o ill I **■**> \ I V 91 ^ \ X jl ^ iX 5^^; fiifcS 560 540 520 500 480 460 440 420 400 3SO 3SO 340 320 , 240 2EO 200 180 ISO 140 120 IO0 80 SO 40 UNITED STATES LIFE TABLES. 293 GRAPH SI MEASURE OF VITALITY AMERICAN EXPERIENCE MORTALITY TABLE: 1860 AMERICAN-CANADIAN MORTALITY INVESTIGATION: 1000-1915. AMERICAN MEN. AM<5> BRITISH OFFICES LIFE TABLES: 1K63-1883. MALES. 0»(» THREE JAPANESE OFFICES LIFE TABLES: 1905. MALES. J»C) NATIONAL FRATERNAL CONGRESS MORTALITY TABLE: 1898 UNITED STATES. ORIGINAL REGISTRATION STATES: 1909-1911. WHITE MALES The values on which these graphs are based may be found in columns 2, 4, 5, 8, 10, and 12 of Table 89, page 234. > 320 t p 300 §£80 111 a O 260 < f 240 10 AGE IN YEARS 50 r\ 1 J \ -1 u'l hi I I 10 J a l °7 1 1 \ I \ / I \ \ / \ ..^ "^ i \ \ Vy "\ _s«/ s \ \ Nj ^0 ■-^ 1 . \ \ \ \1~ \-7 v. amep CAN e M^-\ M T \ Z 1 / \ /' ^ 1, >•. s X ^ \ #• &, Oa, r c es;- 5^§g £ss_ ^s=» S20 460 420 400 380 360 320 > \- J 300 f* > 280 £ 111 o: 260 D (0 240 5 40 50 60 AGE IN VEARS 70 60 1 00 Part V TABLES OF LIFE ANNUITIES, ANNUAL PREMIUMS, SINGLE PREMIUMS, AND COMMUTATION COLUMNS BASED ON LIFE TABLES FOR WHITE MALES AND FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES : 1910 (295) Part V.— TABLES OF LIFE ANNUITIES, ANNUAL PREMIUMS, SINGLE PREMIUMS, AND COMMUTATION COLUMNS BASED ON LIFE TABLES FOR WHITE MALES AND FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. PRACTICAL tTSES SERVES BY THESE TABLES. 93. This part consists of tables of life annuities and other tables useful in connection with problems involving life contingencies. Values of life table func- tions based on the rates of mortality experienced among white men and women in this country are needed frequently in legal and business practice. For example, in the settlement of estates and division of wills, the present values of life annuities based on one or more lives of different ages and sexes are often required. The only way to obtain this information is to consult the available life or mortality tables. Until the appearance of the United States Life Tables there were practically no reliable life tables available which faithfully represented mortality conditions as they now exist in the general population. In lieu of such tables it has been the practice to employ the American Experience Mortality Table, the Northamp- ton, the Carlisle, or some of the English Life Tables. Since these tables differ materially from the United States Life Tables for white males and white females, the values obtained by their use were correspondingly in error. A direct comparison of the rate of mortality, expectation of life, and other functions by these tables may be made with various other tables based on the experience of life insurance companies by referring to Tables 85 to 89 on pages 226 to 235. In addition to the uses mentioned above, these tables may be employed in the valuation of pension funds and for other purposes in connection with the setting up of pension systems where the mortality is likely to be in accordance with that of the general population. They may also be used to measure the present value of income and the present value of charitable bequests based upon the lives of individuals. The application of the tables in the latter case in connection with deductions in computing the income tax is obvious. It is sometimes necessary in legal practice, when determining the measure of damages, to have the present value at a given rate of interest of a life annuity to a male or female of a given age. For this purpose these tables will be found particularly useful because they extend down to the infant ages, which usually is not the case in tables based on insurance experience. LIFE ANNUITIES, NET PREMIUMS, COMMUTATION COLUMNS, AT DIFFERENT RATES OF INTEREST. 94. To meet the increasing need for accurate values of mortality functions based on the experience of the general population in this country, tables of this character are given in Part V. Two life tables were chosen for this purpose, one for white males in the original registration states, 1910, pages 68 and 69, and the other for white females in the original registration states, 1910, pages 74 and 75. Each of these tables is based on a population of about twelve millions and reported deaths of over half a million in the original registration states ; they should, therefore, portray with great faithfulness the rates of mortality as they now exist among white males and white females in this country. It is upon these life tables that the tabulated life annuities, net premiums, and commutation columns are based. They are divided into two sets, those for males in Tables 92 to 98, pages 298 to 311, and those for females in Tables 99 to 105, pages 312 to 325. The values of the life annuities are given for each age at rates of interest 3, 3^, 4, 5, and 6 per cent. The tabulated annuities give the present value of $1 per year throughout life, the first payment to be made at once. An annuity of this character is called a life annuity due. The method of using these annui- ties is explained in section 83 in the Questions and Answers of Part I of this text, pages 47 and 48. The tables of annuities are followed by tables of net single and net annual premiums per $1,000 of ordinary whole life insurance at 3, 3 3, and 4 per cent. To facilitate actuarial calculations, commutation columns are given at 3, 3 3 , 4, 5, and 6 per cent. These columns include values of the six functions D x , N x , S XI C x , Mx, Ji x . They make it possible for the actuary to calculate all the values on single lives which would be required in practice. The values given in this part are on one life. If values based on two or more lives are required, there is sufficient information contained in the tables to enable the actuary to make the necessary calculations. It would, of course, be desirable to have the life tables graduated to Makeham's formula, and thus facilitate the calculation of values on multiple lives; it has not been found feasible, however, to present such tables at this time. (297) 298 Table 92 UNITED STATES LIFE TABLES. LIFE ANNUITY DUE. WHITE MALES PRESENT VALUE, AT EACH AGE AND VARIOUS RATES OF INTEREST, OF A LIFE ANNUITY OF ONE DOLLAR PER ANNUM, FIRST PAYMENT TO BE MADE AT ONCE, BASED ON LIFE TABLE FOR WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 AGE. a I =N I /D I . LIFE ANNUITY DUE. WHITE MALES. 3% fears. 23. 0056 1 25. 8523 2 26. 3408 3 26. 4374 4 26. 4103 5 26. 3231 6 26. 2062 7 26. 0666 8 25. 9068 9 25. 7293 10 25. 5374 11 25. 3339 12 25. 1210 13 24. 9017 14 24. 6782 15 24. 4522 16 24. 2243 17 23. 9966 18 23. 7705 19 23. 5475 20 23. 3270 21 23. 1098 22 22. 8932 23 22. 6722 24 22. 4439 25 22. 2091 26 21. 9668 27 21. 7183 28 21. 4646 29 21. 2073 30 20. 9460 31 20. 6809 32 20. 4128 33 20. 1426 34 19.8698 35 19. 5947 36 19. 3170 37 19. 0359 38 18. 7500 39 18. 4586 40 18. 1616 41 17. 8590 42 17. 5508 43 17. 2375 44 16. 9198 45 16. 5973 46 16. 2709 47 15. 9402 48 15. 6042 49 15. 2618 50 14. 9127 51 14. 5560 52 14. 1932 53 13. 8268 54 13. 4601 Si% 20. 8292 23. 4086 23. 8661 23. 9714 23. 9657 23. 9062 23. 8201 23. 7136 23. 5889 23. 4481 23. 2943 23. 1296 22. 9564 22. 7770 22. 5937 22. 4077 22. 2199 22. 0320 21. 8453 21. 6612 21. 4792 21. 3002 21. 1215 20.9386 20. 7488 20. 5528 20. 3497 20. 1405 19. 9262 19. 7083 19. 4863 19. 2605 19. 0316 18. 8002 18. 5661 18. 3295 18. 0900 17. 8470 17. 5990 17. 3455 17. 0862 16. 8212 16. 5503 16. 2742 15. 9932 15. 7072 15. 4168 15. 1218 14. 8209 14. 5135 14. 1987 13. 8761 13. 5467 13. 2132 12. 8783 18. 9969 21. 3481 21. 7763 21. 8858 21. 8951 21.8558 21. 7928 21. 7112 21. 6133 21. 5008 21. 3762 21. 2418 21. 0995 20. 9515 20. 7997 20. 6453 20. 4892 20. 3328 20.1774 20. 0243 19. 8731 19. 7245 19. 5761 19. 4238 19. 2652 19. 1006 18. 9292 18. 7521 18. 5702 18. 3847 18. 1951 18. 0018 17. 8052 17. 6062 17. 4045 17. 2000 16. 9927 16. 7817 16. 5659 16. 3445 16. 1173 15. 8844 15. 6455 15. 4013 15. 1521 14. 8977 14. 6386 14. 3746 14. 1046 13. 8277 13. 5433 13. 2508 12. 9511 12. 6467 12. 3403 5% 16. 1086 18. 0943 18. 4700 18. 5799 18. 6066 18. 5933 18. 5604 18. 5124 18. 4508 18. 3772 18. 2935 18. 2015 18. 1027 17. 9991 17. 8922 17. 7830 17. 6722 17. 5611 17. 4508 17. 3425 17. 2358 17. 1313 17. 0272 16. 9198 16. 8068 16. 6887 16. 5647 16. 4356 16. 3022 16. 1655 16. 0251 15. 8812 15. 7343 15. 5850 15. 4331 15. 2785 15. 1212 14. 9604 14. 7949 14. 6243 14. 4480 14. 2663 14. 0788 13. 8859 13. 6881 13. 4850 13. 2770 13. 0640 12. 8447 12. 6185 12. 3846 12. 1424 11. 8926 11. 6374 11. 3793 13. 9600 15. 6690 16. 0004 16. 1054 16. 1399 16. 1405 16. 1249 16. 0967 16. 0572 16. 0075 15. 9493 15. 8841 15. 8131 15. 7380 15. 6600 15. 5801 15. 4988 15. 4173 15. 3365 15. 2575 15. 1800 15. 1047 15. 0298 14. 9522 14. 8699 14. 7831 14. 6914 14. 5951 14. 4951 14. 3922 14. 2861 14. 1769 14. 0650 13. 9509 13. 8345 13. 7157 13. 5944 13. 4699 13. 3412 13. 2077 13. 0691 12. 9255 12. 7764 12. 6222 12. 4633 12. 2993 12. 1305 11. 9568 11. 7770 11. 5904 11. 3962 11. 1938 10. 9838 10. 7680 10. 5488 i This table appears on pages 68 and ( Table 92 MONETARY TABLES. LIFE ANNUITY DUE. 299 WHITE MALES PRESENT VALUE, AT EACH AGE AND VARIOUS RATES OP INTEREST, OF A LIFE ANNUITY OF ONE DOLLAR PER ANNUM, FIRST PAYMENT TO BE MADE AT ONCE, BASED ON LIFE TABLE FOR WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 AGE. a^Nx/D*. LIFE ANNUITY DUE. WHITE MALES. X 3% 3i% 4:% 5% 6% Years. 55 13. 0937 12. 5429 12. 0327 11. 1189 10. 3266 56 12. 7302 12. 2095 11. 7261 10. 8583 10. 1035 57 12. 3703 11. 8786 11. 4213 10. 5981 9. 8798 58 12. 0127 11. 5489 11. 1169 10. 3373 9. 6547 59 11. 6557 11. 2190 10. 8115 10. 0743 9. 4269 60 11. 2997 10. 8893 10. 5056 9. 8097 9. 1965 61 10. 9452 10. 5601 10. 1994 9. 5436 8. 9639 62 10. 5927 10. 2319 9. 8935 9. 2765 8. 7294 63 10. 2430 9. 9056 9. 5886 9. 0092 8. 4938 64 9. 8973 9. 5823 9. 2858 8. 7426 8. 2580 65 9. 5549 9. 2614 8. 9846 8. 4763 8. 0214 66 9. 2150 8. 9420 8. 6842 8. 2096 7. 7835 67 8. 8777 8. 6244 8.3847 7. 9424 7.5442 68 8. 5430 8. 3084 8. 0861 7. 6749 7. 3036 69 8. 2120 7. 9953 7. 7895 7. 4081 7. 0626 70 7. 8848 7. 6849 7. 4949 7. 1419 6. 8212 71 7. 5611 7. 3773 7. 2022 6. 8763 6. 5793 72 7. 2425 7. 0737 6. 9128 6. 6124 6. 3380 73 6. 9309 6. 7763 6. 6286 6. 3524 6. 0993 74 6. 6280 6. 4866 6.3512 6. 0977 5. 8647 75 6. 3353 6. 2061 6. 0822 5. 8497 5. 6356 76 6. 0557 5. 9376 5. 8244 5. 6114 5. 4146 77 5. 7883 5. 6806 5. 5771 5. 3821 5. 2016 78 5. 5294 5. 4312 5. 3368 5. 1586 4. 9932 79 5. 2766 5. 1873 5. 1013 4. 9387 4. 7874 80 5. 0341 4. 9529 4. 8747 4. 7264 4. 5882 81 4. 8079 4. 7340 4. 6627 4. 5274 4. 4010 82 4. 5991 4. 5318 4. 4668 4. 3431 4. 2273 83 4. 4045 4. 3431 4. 2837 4. 1706 4. 0645 84 4. 2172 4. 1613 4. 1071 4. 0038 3. 9067 85 4. 0396 3. 9886 3. 9392 3.8449 3. 7560 86 3. 8702 3. 8238 3. 7788 3. 6926 3. 6113 87 3. 7095 3. 6672 3. 6261 3. 5475 3. 4732 88 3. 5576 3. 5191 3. 4817 3. 4099 3. 3419 89 3. 4136 3. 3786 3. 3445 3. 2789 3. 2168 90 3. 2777 3. 2458 3. 2147 3. 1549 3. 0981 91 3. 1508 3. 1217 3. 0934 3. 0388 2. 9868 92 3. 0304 3. 0039 2. 9781 2. 9283 2. 8809 93 2. 9137 2. 8897 2:8663 2. 8210 2. 7778 94 2. 7991 2. 7774 2. 7562 2. 7153 2. 6760 95 2. 6866 2. 6672 2.6481 2. 6112 2. 5758 96 2. 5747 2. 5573 2.5403 2. 5072 2. 4755 97 2. 4517 2. 4364 2. 4214 2. 3923 2. 3643 98 2. 3524 2. 3389 2. 3256 2. 2998 2. 2750 99 2. 2396 2. 2280 2. 2166 2. 1944 2. 1729 100 2. 1005 2. 0910 2. 0816 2. 0633 2. 0455 101 1. 9522 1.9447 1. 9373 1. 9228 1. 9085 102 1. 7655 1. 7600 1. 7546 1.7440 1. 7335 103 1. 5768 1. 5732 1. 5695 1. 5623 1. 5554 104 1. 4854 1. 4830 1. 4806 1..4764 1. 4711 ; 105 1. 0000 1. 0000 1. 0000 1. 0000 1. 0000 This table appears on pages 68 and ( 300 Table 93 UNITED STATES LIFE TABLES. SINGLE AND ANNUAL NET PREMIUMS. WHITE MALES PRESENT VALUE, AT EACH AGE AND VARIOUS RATES OF INTEREST, OP $1,000 WHOLE LIFE INSURANCE AND THE ANNUAL PAYMENT OF AN EQUIVALENT LIFE ANNUITY DUE, BASED ON LIFE TABLE FOR WHITE MALES- IN THE ORIGINAL REGISTRATION STATES: 1910. : 1000A 3 .=1000M 2 ./D :c WHITE MALES. lOOOP^lOOOMs/Nz AGE. 3 % 8J* ±% Single Premium. Annual Premium. Single Premium. Annual Premium. Single Premium. Annual Premium. .T IOOOAj 1000P X 1000A X IOOOPz IOOOAs 1000P X Years. 329. 9349 14. 3415 295. 6292 14. 1930 269. 3504 14. 1787 1 247. 0207 9. 5551 208. 4041 8. 9029 178. 9178 8. 3810 2 232. 7909 8. 8376 192. 9335 8. 0840 162. 4500 7. 4599 3 229. 9777 8. 6989 189. 3727 7. 8999 158. 2383 7. 2302 4 230. 7683 8. 7378 189. 5649 7. 9098 157. 8804 7. 2108 5 233. 3089 8. 8633 191. 5786 8. 0138 159. 3906 7. 2928 6 236. 7112 9. 0326 194. 4880 8. 1649 161. 8163 7. 4252 7 240. 7786 9. 2371- 198. 0906 8. 3535 164. 9520 7. 5975 8 245. 4333 9. 4737 202. 3082 8. 5764 168. 7203 7. 8063 9 250. 6021 9. 7399 207. 0674 8.8309 173. 0479 8. 0485 10 256. 1909 10. 0320 212. 2715 9. 1126 177. 8372 8. 3194 11 262. 1206 10. 3467 217. 8396 9. 4182 183. 0064 8.6154 12 268. 3198 10. 6811 223. 6980 9. 7445 188. 4806 8. 9329 13 274. 7068 11. 0316 229. 7618 10. 0874 194. 1726 9. 2677 14 281. 2166 11. 3953 235. 9631 10. 4438 200. 0125 9. 6161 15 287. 8011 11. 7700 242. 2514 10. 8111 205. 9482 9. 9755 16 294. 4380 12. 1547 248. 6033 11. 1883 211. 9555 10. 3448 17 301. 0696 12. 5463 254. 9577 11. 5722 217. 9705 10. 7202 18 307. 6546 12. 9427 261. 2702 11. 9600 223. 9463 11. 0989 19 314. 1506 13. 3411 267. 4950 12. 3490 229. 8345 11. 4778 20 320. 5742 13. 7427 273. 6491 12. 7402 235. 6518 11. 8579 21 326. 8989 14. 1455 279. 7035 13. 1315 241. 3670 12. 2369 22 333. 2080 14. 5549 . 285. 7462 13. 5287 247. 0719 12. 6211 23 339. 6459 14. 9808 291. 9320 13. 9423 252. 9293 13. 0216 24 346. 2938 15. 4293 298. 3484 14. 3790 259. 0322 13. 4456 25 353. 1340 15. 9004 304. 9777 14. 8387 265. 3634 13. 8930 26 360. 1905 16. 3970 311. 8471 15. 3244 271. 9524 14. 3668 27 367. 4297 16. 9180 318. 9217 15. 8349 278. 7641 14. 8657 28 374.8174 17. 4621 326. 1660 16. 3687 285. 7618 15. 3882 29 382. 3108 18. 0273 333. 5344 16. 9235 292. 8981 15. 9317 30 389. 9228 18. 6156 341. 0418 17. 5016 300. 1894 16. 4984 31 397. 6428 19. 2275 348. 6773 18. 1032 307. 6249 17. 0886 32 405. 4521 19. 8626 356. 4211 18. 7279 315. 1843 17. 7018 33 413. 3229 20. 5199 364. 2440 19. 3745 322. 8369 18. 3365 34 • 421. 2672 21. 2014 372. 1591 20. 0450 330. 5968 18. 9949 35 429. 2811 21. 9081 380.1627 20. 7405 338. 4609 19. 6779 36 437. 3688 22. 6417 388. 2594 21. 4626 346. 4342 20. 3872 37 445. 5577 23. 4062 396. 4797 22. 2155 354. 5497 21. 1272 38 453. 8838 24. 2072 404. 8635 23. 0049 362. 8510 21. 9035 39 462. 3694 25. 0489 413. 4357 23. 8353 371. 3656 22. 7211 40 471. 0217 25. 9351 422. 2057 24. 7103 380. 1047 23. 5837 41 479. 8336 26. 8678 431. 1664 25. 6323 389. 0616 24. 4933 42 488. 8124 27. 8513 440. 3273 26. 6054 398. 2483 25. 4544 43 497. 9366 28. 8868 449. 6659 27. 6307 407. 6416 26. 4680 44 507. 1911 29. 9762 459. 1668 28. 7101 417. 2261 27. 5358 45 516. 5831 31. 1245 468. 8386 29. 8486 427. 0127 28. 6630 46 526. 0909 32. 3333 478. 6587 31. 0479 436. 9771 29. 8510 47 535. 7207 33. 6081 488. 6351 32. 3133 447. 1291 31. 1054 48 545. 5096 34. 9592 498. 8087 33. 6557 457. 5151 32. 4373 49 555. 4802 36. 3967 509. 2070 35. 0852 468. 1651 33. 8570 50 565. 6502 37. 9308 519. 8498 36. 6124 479. 1031 35. 3756 51 576. 0374 39. 5738 530. 7596 38. 2499 490. 3550 37. 0058 52 586. 6060 41. 3301 541. 8975 40. 0020 501. 8807 38. 7520 53 597. 2761 43. 1968 553. 1772 41. 8655 513. 5882 40. 6104 54 607. 9591 45. 1676 564. 5012 43. 8334 525. 3723 42. 5736 1 This table appears on pages 68 and 09. MONETARY TABLES. 301 Table 93 SINGLE AND ANNUAL NET PREMIUMS. WHITE MALES PRESENT VALUE, AT EACH AGE AND VARIOUS RATES OP INTEREST, OF $1,000 WHOLE LIFE INSURANCE AND THE ANNUAL PAYMENT OF AN EQUIVALENT LIFE ANNUITY DUE, BASED ON LIFE TABLE FOR WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 lOOOA^lOOOMj/Ds WHITE MALES. 1000P X =1000M X /N 2: AGE. 3% 8ij6 4% Single Premium. Annual Premium. Single Premium. Annual Premium. Single Premium. Annual Premium. X IOOOAs 1000P X IOOOAs IOOOPz IOOOAz lOOOPz Years. 55 618. 6310 47. 2465 575. 8425 45. 9097 537. 2043 44.6454 56 629. 2171 49. 4271 587. 1191 48. 0872 548. 9949 46. 8181 57 639. 6994 51. 7124 598. 3098 50. 3689 560. 7205 49. 0944 58 650. 1167 54. 1193 609. 4573 52. 7719 572. 4274 51. 4917 59 660. 5148 56. 6690 620 6128 55. 3179 584. 1716 54. 0322 60 670. 8812 59. 3713 631. 7621 58. 0167 595. 9377 56. 7256 61 681. 2070 62. 2378 642. 8954 60. 8797 607. 7153 59. 5834 62 691. 4740 65. 2782 653. 9921 63. 9167 619. 4817 62. 6152 63 701. 6598 68. 5013 665. 0268 67. 1362 631. 2093 65. 8294 64 711. 7296 71. 9116 675. 9605 70. 5425 642. 8543 69. 2299 65 721. 7025 75. 5323 686. 8134 74. 1589 654. 4391 72. 8402 66 731. 6026 79. 3928 697. 6129 78. 0152 665. 9934 76. 6905 67 741. 4271 83. 5160 708. 3551 82.1343 677. 5127 80. 8037 68 751. 1757 87. 9291 719. 0396 86. 5437 688. 9968 85. 2077 69 760. 8155 92. 6467 729. 6291 91. 2578 700. 4039 89. 9165 70 770. 3468 97. 7008 740. 1238 96. 3087 711. 7346 94. 9625 71 779. 7729 103. 1292 750. 5264 101. 7347 722. 9914 100. 3844 72 789. 0546 108. 9485 760. 7927 107. 5523 734. 1248 106. 1986 73 798. 1291 115. 1553 770. 8509 113. 7575 745. 0553 112. 4006 74 806. 9505 121. 7481 780. 6475 120. 3485 755. 7218 118. 9880 75 815. 4757 128. 7185 790. 1330 127.3162 766. 0673 125. 9515 76 823. 6216 136. 0087 799. 2113 134. 6014 775. 9849 133. 2302 77 831. 4094 143. 6366 807. 9030 142. 2220 785. 4949 140. 8421 78 838. 9509 151. 7265 816. 3355 150. 3042 794. 7367 148. 9150 79 846. 3138 160. 3915 824. 5846 158. 9626 803. 7949 157. 5657 80 853. 3765 169. 5205 832. 5103 168. 0851 812. 5123 166. 6803 81 859. 9652 178. 8665 839. 9125 177. 4208 820. 6639 176. 0048 82 866. 0450 188.3066 846. 7501 186. 8454 828. 2004 185. 4129 83 871. 7142 197. 9154 853.1318 196. 4338 835. 2411 194. 9801 84 877. 1685 207. 9970 859. 2803 206. 4938 842. 0337 205. 0176 85 882. 3420 218. 4232 865. 1183 216. 8954 848. 4904 215. 3941 86 887. 2748 229. 2564 870. 6919 227. 7020 854. 6618 226. 1734 87 891. 9578 240. 4550 875. 9884 238. 8714 860. 5326 237. 3131 88 896. 3805 251. 9618 880. 9958 250. 3458 866. 0886 248. 7547 89 900. 5748 263. 8185 885. 7491 262. 1673 871. 3671 260. 5407 90 904. 5334 275. 9661 890. 2393 274. 2759 876. 3579 272. 6102 91 908. 2296 288. 2542 894. 4345 286. 5195 881. 0237 284. 8092 92 911. 7374 300. 8675 898. 4183 299. 0825 '885. 4577 297. 3222 93 915. 1347 314. 0774 902. 2798 312. 2368 889. 7583 310. 4209 94 918. 4733 328. 1309 906. 0772 326. 2289 893. 9914 324. 3520 95 921. 7493 343. 0857 909. 8066 341. 1146 898. 1507 339.1692 96 925. 0105 359. 2716 913. 5223 357. 2225 902. 2987 355. 1994 97 928. 5923 378. 7472 917. 6099 376. 6192 906. 8681 374. 5172 98 931. 4884 395. 9799 920. 9103 393. 7437 910. 5513 391.5342 99 934. 7709 417. 3807 924. 6583 415. 0141 914. 7488 412. 6777 100 938. 8228 446. 9426 929. 2959 444. 4268 919.9413 441. 9416 101 943. 1437 483. 1061 934. 2325 480. 4021 925. 5012 477. 7369 102 948. 5789 537. 2969 940. 4905 534. 3724 932. 5358 531. 4923 103 954. 0510 605. 0396 946. 8115 601. 8466 939. 6659 598. 7114 104 956. 7380 644. 0949 949. 7137 640. 4006 942. 9838 636. 8715 105 971. 0339 971. 0339 966. 2838 966. 2838 961. 8931 961. 8931 1 This table appears on pages 68 and ( UNITED STATES LIFE TABLES. COMMUTATION COLUMNS, 3%. 302 Table 94 I « i (| WHITE MALES BASED ON LIFE TABLE FOR WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1910. AGE. WHITE MALES. X E* N* Sz c* Mz R x Years. 100 000. 00 2 300 556. 89 51 237 889. 36 11 966. 99 32 993.49 808 191. 19 1 85 120. 39 2 200 556. 89 48 937 332.47 2 331.040 21 026. 499 775 197. 702 o 80 310. 11 2 115 436. 50 46 736 775. 58 992. 0136 18 695. 4595 754 171. 2032 3 76 978. 97 2 035 126. 39 44 621 339. 08 593. 5093 17 703.4459 735 475. 7437 4 74 143. 36 1 958 147.42 42 586 212. 69 411. 4644 17 109.9366 717 772. 2978 5 71 572. 38 1 884 004. 06 40 628 065. 27 327. 4563 16 698. 4722 700 662. 3612 6 69 160. 29 1 812 431. 68 38 744 061. 21 268. 3202 16 371.0159 683 963. 8890 7 66 877. 59 1 743 271. 39 36 931 629. 53 221. 0346 16 102. 6957 667 592. 8731 8 64 708. 66 1 676 393. 80 35 188 358. 14 ' 183. 9400 15 881.6611 651 490. 1774 9 62 640. 01 1 611 685. 14 33 511 964. 34 157. 7479 15 697. 7211 635 608. 5163 10 60 657. 79 1 549 045. 13 31 900 279. 20 140. 1497 15 539. 9732 619 910. 7952 11 58 750. 91 1 488 387. 34 30 351 234. 07 129. 7553 15 399. 8235 604 370. 8220 12 56 909. 96 1 429 636. 43 28 862 846. 73 126. 6569 15 270. 0682 588 970. 9985 13 55 125. 73 1 372 726. 47 27 433 210. 30 128. 9180 15 143. 4113 573 700. 9303 14 53 391. 21 1 317 600. 74 26 060 483. 83 134. 7910 15 014. 4933 558 557. 5190 15 51 701. 34 1 264 209. 53 24 742 883. 09 142. 0821 14 879. 7023 543 543. 0257 16 50 053. 39 1 212 508. 19 23 478 673. 56 153. 0692 14 737. 6202 528 663. 3234 17 48 442. 46 1 162 454. 80 22 266 165. 37 166. 2327 14 584. 5510 513 925. 7032 18 46 865. 28 1 114 012. 34 21 103 710. 57 181. 3510 14 418. 3183 499 341. 1522 19 45 318. 92 1 067 147. 06 19 989 698. 23 194. 3402 14 236. 9673 484 922. 8339 20 43 804. 61 1 021 828. 14 18 922 551. 17 208. 0316 14 042. 6271 470 685. 8666 21 42 320. 72 978 023. 53 17 900 723. 03 215. 5416 13 834. 5955 456 643. 2395 22 40 872. 53 935 702. 81 16 922 699. 50 213. 8239 13 619. 0539 442 808. 6440 23 39 468. 25 894 830. 28 15 986 996. 69 207. 5960 , 13 405. 2300 429 189. 5901 24 38 111.09 855 362.03 15 092 166. 41 202. 9824 13 197. 6340 415 784. 3601 25 36 798.08 817 250. 94 14 236 804. 38 197. 5340 12 994. 6516 402 586. 7261 26 35 528. 75 780 452. 86 13 419 553. 44 194. 4817 12 797. 1176 389 592. 0745 27 34 299. 45 744 924. 11 12 639 100. 58 193. 6250 12 602. 6359 376 794. 9569 28 33 106. 82 710 624. 66 11 894 176.47 195. 1993 12 409. 0109 364 192. 3210 29 31 947. 34 677 517. 84 11 183 551. 81 196. 1057 12 213. 8116 351 783. 3101 30 30 820. 73 645 570. 50 10 506 033. 97 197. 5937 12 017. 7059 339 569. 4985 31 29 725. 45 614 749. 77 9 860 463. 47 199. 9936 11 820. 1122 327 551. 7926 32 28 659. 66 585 024. 32 9 245 713. 70 203. 5942 11 620. 1186 315 731. 6804 33 27 621. 32 556 364. 66 8 660 689. 38 206. 4493 11 416. 5244 304 111. 5618 34 26 610. 37 528 743. 34 8 104 324. 72 209. 3208 11 210. 0751 292 695. 0374 35 25 625. 99 502 132. 97 7 575 581. 38 211. 8499 11 000. 7543 281 484. 9623 36 24 667. 75 476 506. 98 7 073 448. 41 213. 0491 10 788. 9044 270 484. 2080 37 23 736. 22 451 839. 23 6 596 941.43 212. 6979 10 575. 8553 259 695. 3036 38 22 832. 18 428 103. 01 6 145 102. 20 211. 5549 10 363. 1574 249 119. 4483 39 21 955.61 405 270. 83 5 716 999. 19 210. 2980 10 151. 6025 238. 756. 2909 40 21 105. 83 383 315. 22 5 311 728. 36 209. 5301 9 941. 3045 228 604. 6884 4] 20 281. 56 3C2 209. 39 4 928 413. 14 208. 6286 9 731. 7744 218 663. 3839 42 19 482. 21 341 927. 83 4 566 203. 75 208. 7239 9 523. 1458 208 931. 6095 43 18 706.04 322 445. 62 4 224 275. 92 209. 4539 9 314.4219 199 408. 4637 44 17 951. 75 303 739. 58 3 901 830. 30 209. 9643 9 104. 9680 190 094. 0418 45 17 218. 92 285 787. 83 3 598 090. 72 211. 2942 8 895. 0037 180 989. 0738 46 16 506. 10 268 568. 91 3 312 302. 89 212. 3685 8 683. 7095 172 094. 0701 47 15 812. 98 252 062. 81 3 043 733. 98 212. 2329 8 471. 3410 163 410. 3606 48 15 140. 17 236 249. 83 2 791 671. 17 211. 4553 8 259. 1081 154 939. 0196 49 14 487. 74 221 109. 66 2 555 421. 34 210. 3147 8 047. 6528 146 679. 9115 50 13 855. 45 206 621. 92 2 334 311. 68 208. 8398 7 837.3381 138 632. 2587 51 13 243. 06 192 766. 47 2 127 689. 76 208. 7774 7 628. 4983 130 794. 9206 52 12 648. 56 179 523. 41 1 934 923. 29 211. 2553 7 419. 7209 123 166. 4223 53 12 068. 90 166 874. 85 1 755 399. 88 216. 2491 7 208. 4656 115 746. 7014 54 11 501. 13 154 805. 95 1 588 525. 03 221. 5598 6 992.2165 108 538. 2358 1 This table appears on pages 68 and t MONETARY TABLES. 303 Table 94 COMMUTATION COLUMNS, 3%. WHITE MALES BASED ON LIFE TABLE FOR WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 AGE. WHITE MALES. X D* N* §z C x M, Rj Years. 55 10 944. 58 143 304. 82 1 433 719. 08 228. 4792 6 770. 6567 101 546.0193 56 10 397. 33 132. 360. 24 1 290 414. 26 235. 1784 6 542. 1775 94 775. 3626 57 9 859. 317 121 962. 913 1 158 054. 017 240. 0331 6 306. 9991 88 233. 1851 58 9 332. 119 112 103. 596 1 036 091. 104 243. 0069 6 066. 9660 81 926. 1860 59 8 817. 303 102 771. 477 923 987. 508 245. 7735 5 823. 9591 75 859.2200 60 8 314. 715 93 954. 174 821 216.031 248. 1729 5 578. 1856 70 035. 2609 61 7 824. 366 85 639. 459 727 261. 857 250. 3839 5 330. 0127 64 457. 0753 62 7 346. 088 77 815.093 641 622. 398 252. 4110 5 079. 6288 59 127. 0626 63 6 879. 713 70 469. 005 563 807. 305 254. 4091 4 827. 2178 54 047. 4338 61 6 424. 924 63 589. 292 493 338. 300 255. 0519 4 572. 8087 49 220. 2160 65 5 982. 738 57 164. 368 429 749. 008 254. 3042 4 317. 7568 44 647. 4073 66 5 554. 180 51 181. 630 372 584. 640 252. 8316 4 063. 4526 40 329. 6505 67 5 139. 576 45 627. 450 321 403. 010 250. 5592 3 810. 6210 36 266. 1979 68 4 739. 320 40 487. 874 275 775. 560 248. 0745 3 560.0618 32 455. 5769 69 4 353. 207 35 748. 554 235 287. 686 244. 6380 3 311. 9873 28 895. 5151 70 3 981. 777 31 395. 347 199 539. 132 240. 2102 3 067. 3493 25 583. 5278 71 3 625. 593 27 413. 570 168 143. 785 235. 4757 2 827. 1391 22 516. 1785 72 3 284. 517 23 787. 977 140 730. 215 230. 5821 2 591. 6634 19 689. 0394 73 2 958. 270 20 503. 460 116 942. 238 224. 9882 2 361. 0813 17 097. 3760 74 2 647. 118 17 545. 190 96 438. 778 218. 4351 2 136. 0931 14 736. 2947 75 2 351. 582 14 898. 072 78 893. 588 211. 2268 1 917.6580 12 600. 2016 76 2 071. 863 12 546. 490 63 995. 516 201. 8911 1 706.4312 10 682. 5436 77 1 809. 626 10 474. 627 51 449. 026 189. 8294 1 504. 5401 8 976. 1124 78 1 567. 089 8 665. 001 40 974. 399 176. 2663 1 314. 7107 7 471. 5723 79 1 345. 180 7 097. 912 32 309. 398 163. 2382 1 138. 4444 6 156.8616 80 1 142. 762 5 752. 732 25 211. 486 150.6371 975. 2062 5 018.4172 81 958. 8401 4 609. 9705 19 458. 7540 137. 0370 824. 5691 4 043. 2110 82 793. 8757 3 651. 1304 14 848. 7835 122. 0373 687. 5321 3 218. 6419 83 648. 7158 2 857.2547' 11 197. 6531 106. 1252 565. 4948 '"'■ 2 531. 1098 84 523. 6959 2 208.5389 8 340. 3984 91. 36078 459. 36955 1. 965. 61504 85 417. 0818 1 684. 8430 6 131. 8595 77. 36637 368. 00877 1 506. 24549 86 327. 5675 1 267. 7612 4 447. 0165 64. 56812 290. 64240 1 138. 23672 87 253. 4585 940. 1937 3 179. 2553 53. 04327 226. 07428 847. 59432 88 193. 0330 686. 7352 2 239. 0616 42. 78322 173. 03101 621. 52004 89 144. 6274 493. 7022 1 552. 3264 33. 91498 130. 24779 448. 48903 90 106. 5000 349. 0748 1 058. 6242 26. 40962 96. 33281 318. 24124 91 76. 98845 242. 57475 709. 54936 20. 10366 69. 92319 221. 90843 92 54. 64241 165. 58630 466. 97461 14. 97456 49. 81953 151. 98524 93 38. 07633 110. 94389 301. 38831 10. 93487 34. 84497 102. 16571 94 26. 03244 72. 86756 190. 44442 7. 84164 23. 91010 67. 32074 95 17. 43257 46. 83512 117. 57686 5. 50496 16. 06846 43. 41064 96 11. 41987 29. 40255 70. 74174 3. 75261 10. 56350 27. 34218 97 7. 33464 17. 98268 41. 33919 2. 59448 6. 81089 16. 77868 98 4. 52653 10. 64804 23. 35651 1. 66141 4. 21641 9. 96779 99 2. 73329 6. 12151 12. 70847 1. 04066 2. 55500 5. 75138 100 1. 61302 3. 38822 6. 58696 . 65673 1. 51434 3. 19638 101 . 90931 1. 77520 3. 19874 . 39237 . 85761 1. 68204 102 . 49046 . 86589 1. 42354 . 23809 . 46524 . 82443 103 . 23809 . 37543 . 55765 . 13869 . 22715 . 35919 104 . 09246 . 13734 . 18222 . 044S8 . 08846 . 13204 105 .04488 .04488 .04488 . 04358 . 04358 . 04358 1 This table appears on pages 68 and 69. 304 UNITED STATES LIFE TABLES. Table 95 COMMUTATION COLUMNS, 3K%. WHITE MALES BASED ON LIFE TABLE FOR WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 AGE. WHITE MALES. X D* Nx S^ c x U x Rx ' Years. 100 000. 00 2 082 924. 98 43 308 482. 48 11 909. 18 29 562. 92 618 386. 92 1 84 709. 18 1 982 924. 98 41 225 557. 50 2 308. 572 17 653. 744 588 823. 996 2 79 536.05 1 898 215. 80 39 242 632. 52 977. 7059 15 345. 1719 571 170.2518 3 75 868. 71 1 818 679. 75 37 344 416. 72 582. 1234 14 367. 4660 555 825. 0799 4 72 720.98 1 742 811.04 35 525 736. 97 401. 6212 13 785. 3426 541 457. 6139 5 69 860.20 1 670 090. 06 33 782 925. 93 318. 0788 13 383. 7214 527 672.2713 6 67 179. 70 1 600 229. 86 32 112 835. 87 259. 3770 13 065. 6426 514 288. 5499 7 64 648. 54 1 533 050. 16 30 512 606. 01 212. 6352 12 806. 2656 501 222. 9073 8 62 249. 72 1 468 401. 62 28 979 555. 85 176. 0954 12 593. 6304 488 416. 6417 9 59 968. 57 1 406 151.90 27 511 154. 23 150. 2908 12 417. 5350 475 "823. 0113 10 57 790. 35 1 346 183. 33 26 105 002. 33 132. 8795 12 267. 2442 463 405. 4763 11 55 703. 21 1 288 392. 98 24 758 819. 00 122. 4299 12 134. 3647 451 138. 2321 12 53 697. 10 1 232 689. 77 23 470 426. 02 118. 9292 12 011. 9348 439 003. 8674 13 51 762.32 1 178 992. 67 22 237 736. 25 120. 4674 11 893.0056 426 991. 9326 14 49 891.44 1 127 230. 35 21 058 743. 58 125. 3470 11 772. 5382 415 098. 9270 15 48 078. 94 1 077 338. 91 19 931 513.23 131.4889 11 647. 1912 403 326. 3888 16 46 321. 60 1 029 259. 97 18 854 174. 32 140. 9726 11 515. 7023 391 679.1976 17 44 614. 19 982 938. 37 17 824 914. 35 152. 3562 11 374. 7297 380 163. 4953 18 42 953. 14 938 324. 18 16 841 975. 98 165. 4095 11 222. 3735 368 788. 7656 19 41 335. 21 895 371. 04 15 903 651. 80 176. 4006 11 056. 9640 357 566. 3921 20 39 761. 00 854 035. 83 15 008 280. 76 187. 9159 10 880. 5634 346 509.4281 21 38 228. 51 814 274. 83 14 154 244. 93 193. 7592 10 692. 6475 335 628. 8647 22 36 742.00 776 046. 32 13 339 970. 10 191. 2865 10 498. 8883 324 936. 2172 23 35 308. 23 739 304. 32 12 563 923. 78 184. 8179 10 307. 6018 314 437. 3289 24 33 929. 41 703 996. 09 11 824 619.46 179. 8375 10 122. 7839 304 129. 7271 25 32 602. 21 670 066. 68 11 120 623. 37 174. 1648 9 942. 9464 294 006. 9432 26 31 325. 55 637. 464. 47 10 450 556. 69 170. 6453 9 768. 7816 284 063. 9968 27 30 095. 59 606 138. 92 9 813 092. 22 169. 0729 9 598. 1363 274 295. 2152 28 28 908. 79 576 043. 33 9 206 953. 30 169. 6241 9 429. 0634 264 697.0789 29 27 761. 57 547 134.54 8 630 909. 97 169. 5885 9 259.4393 255 268. 0155 30 26 653. 19 519 372. 97 8 083 775. 43 170. 0498 9 089. 8508 246 008. 5762 31 25 581. 82 492 719. 78 7 564 402. 46 171. 2837 8 919. 8010 236 918. 7254 32 24 545.45 467 137.96 7 071 682. 68 173. 5251 8 748. 5173 227 998. 9244 33 23 541. 89 442 592. 51 6 604 544. 72 175. 1085 8 574. 9922 219 250. 4071 34 22 570. 68 419 050. 62 6 161 952.21 176. 6864 8 399. 8837 210 675. 4149 35 21 630.73 396 479. 94 5 742 901. 59 177. 9573 8 223. 1973 202 275. 5312 36 20 721. 30 374 849. 21 5 346 421. 65 178. 1001 8 045. 2400 194 052. 3339 37 19 842.48 354 127. 91 4 971 572. 44 176. 9475 7 867. 1399 186 007. 0939 38 18 994. 53 334 285. 43 4 617 444. 53 175. 1464 7 690. 1924 178 139. 9540 39 18 177.06 315 290. 90 4 283 159. 10 173. 2647 7 515.0460 170 449. 7616 40 17 389. 11 297 113. 84 3 967 868. 20 171. 7981 7 341.7813 162 934. 7156 41 16 629. 27 279 724. 73 3 670 754. 36 170. 2325 7 169. 9832 155 592. 9343 42 15 896. 70 263 095. 46 3 391 029. 63 169. 4876 6 999. 7507 148 422. 9511 43 15 189. 64 247 198.76 3 127 934. 17 169. 2587 6 830. 2631 141 423. 2004 44 14 506. 72 232 009. 12 2 880 735. 41 168. 8514 6 661.0044 134 592. 9373 45 13 847. 31 217 502.40 2 648 726. 29 169. 1001 6 492. 1530 127 931. 9329 46 13 209. 94 203 655. 09 2 431 223. 89 169. 1388 6 323. 0529 121 439. 7799 47 12 594. 09 190 445. 15 2 227 568. 80 168. 2143 6 153. 9141 115 116. 7270 48 11 999. 99 177 851. 06 2 037 123. 65 16fi. 7882 5 985. 6998 108 962. 8129 49 11 427. 40 165 851.07 1 859 272. 59 165.0872 5 818. 9116 102 977. 1131 50 10 875. 88 154 423. 67 1 693 421. 52 163. 1375 5 653. 8244 97 158. 2015 51 10 344. 96 143 547. 79 1 538 997. 85 162. 3009 5 490. 6869 91 504. 3771 52 9 832. 830 133 202. 826 1 395 450. 055 163. 4338 5 328. 3860 86 013. 6902 53 ' 9 336. 885 123 369. 996 1 262 247. 229 166. 4890 5 164. 9522 80 685. 3042 54 8 854. 655 114 033. Ill 1 138 877. 233 169. 7537 4 998. 4632 75 520. 3520 1 This table appears on pages 68 and 69. MONETARY TABLES. Table 95 COMMUTATION COLUMNS, 3H%. BASED ON LIFE TABLE FOR WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1910 305 WHITE MALES AGE. WHITE MALES. X Dx N* s, C* M r Rz Years. 55 8 385. 469 105 178. 456 1 024 844. 122 174. 2094 4 828. 7095 70 521. 8888 56 7 927. 693 96 792. 987 919 665. 666 178. 4511 4 654. 5001 65 693. 1793 57 7 481. 156 88 865. 294 822 872. 679 181. 2549 4 476. 0490 61 038. 6792 58 7 046. 915 81 384. 138 734 007. 385 182. 6140 4 294. 7941 56 562. 6302 59 6 625. 999 74 337. 223 652 623. 247 183. 8009 4 112. 1801 52 267. 8361 60 6 218. 131 67 711. 224 578 286. 024 184. 6986 3 928. 3792 48 155. 6560 61 5 823. 157 61 493. 093 510 574. 800 185. 4439 3 743. 6806 44 227. 2768 62 5 440. 795 55 669. 936 449 081. 707 186. 0421 3 558. 2367 40 483. 5962 63 5 070. 765 50 229. 141 393 411. 771 186. 6090 3 372. 1946 36 925. 3595 64 4 712. 680 45 158. 376 343 182. 630 186. 1767 3 185. 5856 33 553. 1649 65 4 367. 138 40 445. 696 298 024. 254 184. 7342 2 999. 4089 30 367. 5793 66 4 034. 723 36 078. 558 257 578. 558 182. 7772 2 814. 6747 27 368. 1704 67 3 715. 506 32 043. 835 221 500. 000 180. 2594 ' 2 631. 8975 24 553.4957 68 3 409. 601 28 328. 329 189 456. 165 177. 6096 2 451. 6381 21 921. 5982 69 3 116. 691 24 918.728 161 127. 836 174. 3031 2 274. 0285 19 469. 9601 70 2 836.992 21 802. 037 136 209. 108 170.3216 2 099. 7254 17 195. 9316 71 2 570. 734 18 965. 045 114 407. 071 166. 1579 1 929. 4038 15 096. 2062 72 2 317. 643 16 394. 311 95 442. 026 161. 9188 1 763.2459 13 166. 8024 73 2 077. 350 14 076. 668 79 047. 715 157. 2275 1 601. 3271 11 403. 5565 74 1 849. 874 11 999. 318 64 971. 047 151. 9106 1 444. 0996 9 802.2294 75 1 635.407 10 149. 444 52 971. 729 146. 1879 1 292. 1890 8 358. 1298 76 1 433. 915 8 514. 037 42 822. 285 139. 0518 1 146. 0011 7 065. 9408 77 1 246. 374 7 080. 122 34 308. 248 130. 1 127 1 006. 9493 5 919. 9397 78 1 074. 113 5 833. 748 27 228. 126 120. 2326 876. 8366 4 912. 9904 79 917. 5578 4 759. 6351 21 394. 3784 110. 8082 756. 6040 4 036. 1538 80 •• 775.7211 • 3 842. 0773 16 634. 7433 101. 7604 645. 7958 3 279. 5498 81 647. 7286 3 066. 3562 12 792. 6660 92. 12588 544. 03538 2 633. 75396 82 533. 6988 2 418.6276 9 726. 3098 81. 64571 451. 90950 2 089. 71858 83 434. 0054 1 884. 9288 7 307. 6822 70. 65715 370. 26379 1 637. 80908 84 348. 6716 1 450. 9234 5 422. 7534 60. 53328 299. 60664 1 267. 54529 85 276. 3476 1 102. 2518 3 971. 8300 51. 01331 239. 07336 967. 93865 86 215. 9892 825. 9042 2 869. 5782 42. 36881 188. 06005 728. 86529 87 166. 3164 609. 9150 2 043. 6740 34. 63820 145. 69124 540. 80524 88 126. 0540 443. 5986 1 433. 7590 27. 80323 111. 05304 395. 11400 89 93. 98803 317. 54462 990. 16043 21. 93362 83. 24981 284. 06096 90 68. 87608 223. 55659 672. 61581 16. 99721 61. 31619 200. 81115 91 49. 54972 154. 68051 449. 05922 12. 87620 44. 31898 139. 49496 92 34. 99793 105. 13079 294. 37871 9. 54472 31. 44278 95. 17598 93 24. 26970 70. 13286 189. 24792 6. 93617 21. 89806 63. 73320 94 16. 51282 45. 86316 119. 11506 4. 95006 14. 96189 41. 83514 95 11. 00435 29. 35034 73. 25190 3. 45823 10. 01183 26. 87325 96 7. 17399 18. 34599 43. 90156 2. 34601 6. 55360 16. 86142 97 4. 58538 11. 17200 25. 55557 1. 61415 4. 20759 10. 30782 98 2. 81617 6. 58662 14. 38357 1. 02865 2. 59344 6. 10023 99 1. 69229 3. 77045 7. 79695 . 64120 1. 56479 3. 50679 100 . 99386 2. 07816 4. 02650 . 40269 . 92359 1. 94200 101 . 55757 1. 08430 1. 94834 . 23943 . 52090 1. 01841 102 . 29928 . 52673 . 86404 .14458 . 28147 . 49751 103 . 14458 . 22745 . 33731 . 08382 . 13689 .21604 104 . 05588 . 08287 . 10986 . 02699 . 05307 . 07915 105 . 02699 . 02699 . 02699 . 02608 . 02608 . 02608 i This table appears on pages OS and ( 150822°— 21- -20 306 Table 96 UNITED STATES LIFE TABLES. COMMUTATION COLUMNS, 4%. WHITE MALES BASED ON LIFE TABLE FOR WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1910. l AGE. WHITE MALES. X D* N« §x Cx M r Rz Years. 100 000. 00 1 899 688. 97 36 933 985. 45 11 851. 92 26 935. 04 479 151.09 1 84 301. 92 1 799 688. 97 35 034 296. 48 2 286. 428 15 083. 117 452 216. 049 2 78 773. 11 1 715 387. 05 33 234 607. 51 963. 6721 12 796. 6893 437 132. 9325 3 74 779. 71 1 636 613. 94 31 519 220. 46 571. 0092 11 833. 0172 424 336. 2432 4 71 332. 55 1 561 834. 23 29 882 606.' 52 392. 0592 ' 11 262. 0080 412 503. 2260 5 68 196. 94 1 490 501. 68 28 320 772. 29 309. 0130 10 869. 9488 401 241. 2180 6 65 264. 96 1 422 304. 74 26 830 270. 61 250. 7729 10 560. 9358 390 371. 2692 7 62 504. 00 1 357 039. 78 25 407 965. 87 204. 5933 10 310. 1629 379 810. 3334 8 59 895. 41 1 294 535. 78 24 050 926. 09 168. 6208 10 105. 5696 369 500. 1705 9 57 423. 12 1 234 640. 37 22 756 390. 31 143. 2196 9 936. 9488 359 394. 6009 10 55 071. 32 1 177 217. 25 21 521 749. 94 126. 0187 9 793. 7292 349 457. 6521 11 52 827. 17 1 122 145. 93 20 344 532. 69 115. 5505 9 667. 7105 339 663. 9229 12 50 679. 80 1 069 318. 76 19 222 386. 76 111. 7068 9 552. 1600 329 996. 2124 13 48 618. 87 1 018 638. 96 18 153 068. 00 112. 6076 9 440. 4532 320 444. 0524 14 46 636. 31 970 020. 09 17 134 429. 04 116. 6055 9 327. 8456 311 003. 5992 15 44 726. 00 923 383. 78 16 164 408. 95 121. 7311 9 211. 2401 301 675. 7536 16 42 884. 04 878 657. 78 15 241 025. 17 129. 8834 9 089 5090 292 464. 5135 17 41 104. 77 835 773. 74 14 362 367. 39 139. 6968 8 959. 6256 283 375. 0045 18 39 384. 12 794 668. 97 13 526 593.65 150. 9363 8 819. 9288 274 415. 3789 19 37 718.41 755 284. 85 12 731 924. 68 160. 1918 8 668. 9925 265 595. 4501 20 36 107. 51 717 566.44 11 976 639. 83 169. 8286 8 508. 8007 256 926. 4576 21 34 548. 93 681 458. 93 11 259 073. 39 174. 2676 8 338 9721 248 417. 6569 22 33 045. 86 646 910. 00 10 577 614.46 171. 2165 8 164. 7045 240 078. 6848 23 31 603. 65 613 864. 14 9 930 704. 46 164. 6313 7 993. 4880 231 913. 9803 24 30 223. 49 582 260. 49 9 316 840. 32 159. 4246 7 828. 8567 223 920. 4923 25 28 901. 62 552 037. 00 8 734 579. 83 153. 6536 7 669. 4321 216 091. 6356 26 27 636. 37 523 135. 38 8 182 542. 83 149. 8248 7 515. 7785 208 422. 2035 27 26 423. 61 495 499. 01 7 659 407. 45 147. 7305 7 365. 9537 200 906. 4250 28 25 259. 58 469 075. 40 7 163 908. 44 147. 4996 7 218. 2232 193 540. 4713 29 24 140. 56 443 815. 82 6 694 833. 04 146. 7597 7 070. 7236 186 322. 2481 30 23 065. 32 419 675.26 6 251 017. 22 146. 4514 6 923. 9639 179 251. 5245 31 22 031. 74 396 609. 94 5 831 341. 96 146. 8048 6 777.5125 172 327. 5606 32 21 037. 56 374 578. 20 5 434 732. 02 148. 0109 6 630. 7077 165 550. 0481 33 20 080. 41 353 540. 64 5 060 153. 82 148. 6434 6 482. 6968 158 919. 3404 34 19 159.45 333 460. 23 4 706 613. 18 149. 2617 6 334. 0534 152 436. 6436 35 18 273. 28 314 300. 78 4 373 152. 95 149. 6126 6 184. 7917 146 102. 5902 36 17 420. 85 296 027. 50 4 058 852. 17 149. 0128 6 035. 1791 139 917. 7985 37 16 601. 81 278 606. 65 3 762 824. 67 147. 3367 5 886. 1663 133 882. 6194 38 15 815. 94 262 004. 84 3 484 218. 02 145. 1358 5 738. 8296 127 996. 4531 39 15 062. 50 246 188. 90 3 222 213. 18 142. 8863 5 593. 6938 122 257. 6235 40 14 340. 28 231 126.40 2 976 024. 28 140. 9957 5 450. 8075 116 663. 9297 41 13 647. 74 216 786. 12 2 744 897. 88 139. 0391 5 309. 8118 111 213. 1222 42 12 983. 79 203. 138. 38 2 528 111. 76 137. 7651 5 170. 7727 105 903. 3104 43 12 346. 65 190 154. 59 2 324 973. 38 136. 9176 5 033. 0076 100 732. 5377 44 11 734.86 177 807.94 2 134 818. 79 135. 9315 4 896. 0900 95 699. 5301 45 11 147. 58 166 073. 08 1 957 010. 85 135. 4772 4 760. 1585 90 803. 4401 46 10 583. 35 154 925. 50 1 790 937. 77 134. 8567 4 624. 6813 86 043. 2816 47 10 041. 45 144 342. 15 1 636 012. 27 133. 4748 4 489. 8246 81 418. 6003 48 9 521. 761 134 300. 697 1 491 670. 118 131. 7070 4 356. 3498 76 928. 7757 49 9 023. 832 124 778. 936 1 357 369. '421 129. 7370 4 224. 6428 72 572. 4259 50 8 547. 025 115 755. 104 1 232 590. 485 127.5885 4 094. 9058 68 347. 7831 51 8 090. 705 107 208. 079 1 116 835. 381 126. 3239 3 967. 3173 64 252. 8773 52 7 653. 200 99 117.374 1 009 627. 302 126. 5941 3 840. 9934 60 285. 5600 53 7 232 252 91 464. 174 910 509. 928 128. 3406 3 714. 3993 56 444. 5666 54 6 825. 748 84 231. 922 819 045. 754 130. 2281 3 586. 0587 52 730. 1673 1 This table appears on pages 68 and 69. MONETARY TABLES. 307 Table 96 COMMUTATION COLUMNS, 4%. WHITE MALES BASED ON LIFE TABLE FOR WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 AGE. WHITE MALES. X D* N« S x G x M* Rz Years. 55 6 432. 991 77 406. 174 734 813. 832 133. 0038 3 455. 8306 49 144. 1086 56 6 052. 564 70 973. 183 657 407. 658 135. 5873 3 322. 8268 45 688. 2780 57 5 684. 186 64 920. 619 586 434. 475 137. 0555 3 187. 2395 42 365. 4512 58 5 328. 508 59 236. 433 521 513. 856 137. 4193 3 050. 1840 39 178.2117 59 4 986. 146 53 907. 925 462 277. 423 137. 6475 2 912. 7647 36 128. 0277 60 4 656. 724 48 921. 779 408 369.498 137. 6548 2 775. 1172 33 215. 2630 61 4 339. 964 44 265. 055 359 447. 719 137. 5458 2 637. 4624 30 440. 1458 62 4 035. 497 39 925. 091 315 182. 664 137. 3261 2 499. 9166 27 802. 6834 63 3 742. 959 35 889. 594 275 257. 573 137. 0823 2 362. 5905 25 302. 7668 64 3 461. 917 32 146. 635 239 367. 979 136. 1072 2 225. 5082 22 940. 1763 65 3 192.659 28 684. 718 207 221. 344 134. 4033 2 089. 4010 20 714. 6681 66 2 935. 461 25 492. 059 178 536. 626 132. 3402 1 954. 9977 18 625. 2671 67 2 690. 219 22 556. 598 153 044. 567 129. 8896 1 822. 6575 16 670. 2694 68 2 456. 859 19 866. 379 130 487. 969 127. 3651 1 692. 7679 14 847. 6119 69 2 235., 000 17 409. 520 110 621. 590 124. 3930 1 565.4028 13 154. 8440 70 2 024. 645 •15 174. 520 93 212. 070 120. 9671 1 441. 0098 11 589. 4412 71 1 825. 807 13 149. 875 78 037. 550 117. 4427 1 320.0427 10 148. 4314 72 1 638. 141 11 324.068 64 887. 675 113. 8962 1 202. 6000 8 828. 3887 73 1 461. 239 9 685. 927 53 563. 607 110. 0645 1 088. 7038 7 625. 7887 74 1 294. 973 8 224. 688 43 877. 680 105. 8313 978. 6393 6 537. 0849 75 1 139.336 6 929. 715 35 652. 992 101. 3548 872. 8080 5 558. 4456 76 994. 1601 5 790. 3792 28 723. 2770 95. 94369 771. 45318 4 685. 63755 77 859. 9795 4 796. 2191 22 932. 8978 89. 34423 675. 50949 3 914. 18437 78 737. 5591 3 936. 2396 18 136.6787 82. 16297 586. 16526 3 238. 67488 79 627. 0285 3 198. 6805 14 200. 4391 75. 35858 504. 00229 2 652. 50962 80 527. 5535 2 571. 6520 11 001. 7586 68. 87262 428. 64371 2 148. 50733 81 438. 3903 2 044. 0985 8 430. 1066 62. 05210 359. 77109 1 719. 86362 82 359. 4770 1 605. 7082 6 386. 0081 54. 72872 297. 71899 1 360. 09253 83 290. 9223 1 246. 2312 4 780.2999 47. 13516 242. 99027 1 062. 37354 84 232. 5977 955. 3089 3 534. 0687 40. 18741 195. 85511 819. 38327 85 183. 4643 722. 7112 2 578. 7598 33. 70438 155. 66770 623. 52816 » 86 142. 7036 539. 2469 1 856. 0486 27. 85840 121. 96332 467. 86046 87 109. 3566 396. 5433 1 316. 8017 22. 66586 94. 10492 345. 89714 88 82. 48470 287. 18673 920. 25839 18. 10586 71. 43906 251. 79222 89 61. 20635 204. 70203 633. 07166 14. 21482 53. 33320 180. 35316 90 44. 63745 143. 49568 428. 36963 10. 96265 39. 11838 127. 01996 91 31. 95797 98. 85823 284. 87395 8. 26480 28. 15573 87. 90158 92 22. 46401 66. 90026 186. 01572 6. 09699 19. 89093 59. 74585 93 15. 50302 44. 43625 119. 11546 4. 40939 13. 79394 39. 85492 94 10. 49736 28. 93323 74. 67921 3. 13167 9. 38455 26. 06098 95 6. 96195 18. 43587 45. 74598 2. 17735 6. 25288 16. 67643 96 4. 51683 11. 47392 27. 31011 1. 46998 4. 07553 10. 42355 97 2. 87313 6. 95709 15. 83619 1. 00654 2. 60555 6. 34802 98 1. 75609 4. 08396 8. 87910 . 63835 1. 59901 3. 74247 99 1. 05019 2. 32787 4. 79514 . 39600 . 96066 2. 14346 100 . 61380 1. 27768 2. 46727 . 24750 . 56466 1. 18280 101 . 34269 . 66388 1. 18959 . 14645 . 31716 . 61814 102 . 18306 . 32119 . 52571 . 08801 . 17071 . 30098 103 . 08801 . 13813 . 20452 . 05078 .08270 . 13027 104 . 03385 . 05012 . 06639 . 01627 . 03192 . 04757 105 . 01627 . 01627 . 01627 . 01565 . 01565 . 01565 ' This table appears on pages 68 and 69. UNITED STATES LIFE TABLES. COMMUTATION COLUMNS, 5%. 308 Table 97 1 T i I ' ' M '-' ' , . WHITE MALES BASED ON LIFE TABLE FOR WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 AGE. WHITE MALES. X Dx N x s* G x M x Rz Years. 100 000. 00 1 610 857. 13 27 542 464. 87 11 739. 05 23 292. 52 299 311. 18 1 83 499. 05 1 510 857. 13 25 931 607. 74 2 243. 084 11 553. 469 276 018. 664 2 77 279. 82 1 427 358.08 24 420 750. 61 936. 4000 9 310. 3852 264 465. 1948 3 72 663. 43 1 350 078. 26 22 993 392. 53 549. 5652 8 373. 9852 255 154. 8096 4 68 653. 70 1 277 414. 83 21 643 314. 27 373. 7420 7 824.4200 246 780. 8244 5 65 010. 73 1 208 761. 13 20 365 899. 44 291. 7702 7 450. 6780 238 956.4044 6 61 623.21 1 143 750. 40 19 157 138.31 234. 5248 7 158. 9078 231 505. 7264 7 58 454. 25 1 082 127. 19 18 013 387. 91 189. 5150 6 924. 3830 224 346. 8186 8 55 481. 20 1 023 672. 94 16 931 260. 72 154. 7061 6 734. 8680 217 422. 4356 9 52 684. 53 968 191. 74 15 907 587. 78 130. 1496 6 580. 1619 210 687. 5676 10 50 045. 59 915 507. 21 14 939 396. 04 113. 4278 6 450. 0123 204 107. 4057 11 47 549. 04 865 461. 62 14 023 888. 83 103. 0149 6 336. 5845 197 657. 3934 12 45 181. 79 817 912. 58 13 158 427. 21 98. 6398 6 233. 5696 191 320. 8089 13 42 931. 63 772 730. 79 12 340 514. 63 98. 4883 6 134. 9298 185 087. 2393 14 40 788. 78 729 799. 16 11 567 783. 84 101. 0136 6 036. 4415 178 952. 3095 15 38 745. 45 689 010. 38 10 837 984. 68 104. 4494 5 935. 4279 172 915. 8680 16 36 795. 98 650 264. 93 10 148 974. 30 110. 3831 5 830. 9785 166 980. 4401 17 34 933. 40 613 468. 95 9 498 709. 37 117. 5923 5 720. 5954 161 149.4616 18 33 152. 32 578 535. 55 8 885 240. 42 125. 8434 5 603. 0031 155 428. 8662 19 31 447. 79 545 383. 23 8 306 704. 87 132. 2882 5 477. 1597 149 825. 8631 20 29 817. 99 513 935. 44 7 761 321. 64 138. 9107 5 344. 8715 144 348. 7034 21 28 259. 17 484 117. 45 7 247 386. 20 141. 1840 5 205. 9608 139 003. 8319 22 26 772. 31 455 858. 28 6 763 268. 75 137. 3911 5 064. 7768 133 797. 8711 23 25 360. 05 429 085. 97 6 307 410. 47 130. 8487 4 927. 3857 128 733. 0943 24 24 021. 58 403 725. 92 5 878 324. 50 125. 5037 4 796. 5370 123 805. 7086 25 22 752. 19 379 704. 34 5 474 598. 58 119. 8086 4 671. 0333 119 009. 1716 26 21 548. 95 356 952. 15 5 094 894. 24 115. 7105 4 551. 2247 114 338. 1383 27 20 407. 10 335 403. 20 4 737 942. 09 113. 0065 4 435. 5142 109 786. 9136 28 19 322. 32 314 996. 10 4 402 538. 89 111. 7553 4 322. 5077 105 351. 3994 29 18 290. 46 295 673. 78 4 087 542. 79 110. 1357 4 210. 7524 101 028. 8917 30 17 309. 35 277 383. 32 3 791 869. 01 108. 8576 4 100. 6167 96 818. 1393 31 16 376. 23 260 073. 97 3 514 485. 69 108. 0811 3 991. 7591 92 717. 5226 32 15 488. 33 243 697. 74 3 254 411. 72 107. 9312 3 883. 6780 88 725. 7635 33 14 642. 86 228 209. 41 3 010 713. 98 107. 3601 3 775. 7468 84 842. 0855 34 13 838. 22 213 566. 55 2 782 504. 57 106. 7800 3 668. 3867 81 066. 3387 35 13 072. 48 199. 728. 33 2 568 938. 02 106. 0116 3 561. 6067 77 397. 9520 36 12 343. 97 186 655. 85 2 369 209. 69 104. 5811 3 455. 5951 73 836. 3453 37 11 651. 58 174 311. 88 2 182 553. 84 102. 4199 3 351. 0140 70 380. 7502 38 10 994. 32 162 660. 30 2 008 241. 96 99. 92914 3 248. 59412 67 029. 73622 39 10 370. 85 151 665. 98 1 845 581. 66 97. 44334 3 148. 66498 63 781. 14210 40 9 779. 561 141 295. 127 1 693 915. 685 95. 23825 3 051. 22164 60 632. 47712 41 9 218. 629 131 515. 566 1 552 620. 558 93. 02221 2 955. 98339 57 581. 25548 42 8 686. 625- 122 296. 937 1 421 104. 992 91. 29207 2 862. 96118 54 625. 27209 43 8 181.684 113 610. 312 1 298 808. 055 89. 86636 2 771. 66911 51 762.31091 44 7 702. 213 105 428. 628 1 185 197. 743 88. 36943 2 681.80275 48 990. 64180 45 7 247. 072 97 726.415 1 079 769. 115 87. 23527 2 593. 43332 46 308. 83905 46 6 814. 739 90 479. 343 982 042. 700 86. 00873 2 506. 19805 43 715. 40573 47 6 404. 218 83 664. 604 891 563. 357 84. 31663 2 420. 18932 41 209. 20768 48 6 014. 939 77 260. 386 807 898. 753 82. 40752 2 335. 87269 38 789. 01836 49 5 646. 105 71 245. 447 730 638. 367 80. 40184 2 253. 46517 36 453. 14567 50 5 296. 842 65 599. 342 659 392. 920 78. 31725 2 173. 06333 34 199. 68050 51 4 966. 294 60 302. 500 593 793. 578 76. 80256 2 094. 74608 32 026. 61717 52 4 653. 001 55 336. 206 533 491. 078 76. 23382 2 017. 94352 29 931. 87109 53 4 355. 196 50 683. 205 478 154. 872 76. 54948 1 941. 70970 27 913. 92757 54 4 071. 256 46 328.009 427 471. 667 76. 93553 1 865.16022 25 972. 21787 i This table appears on pages 68 and 69. MONETARY TABLES. 309 Table 97 COMMUTATION COLUMNS, 5%. WHITE MALES BASED ON LIFE TABLE FOR WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1910. » AGE. WHITE MALES. X D* Nz §x c* M x Rz Years. 55 3 800. 451 42 256. 753 381 143. 658 77. 82702 1 788. 22469 24 107. 05765 56 3 541. 650 38 456. 302 338 886. 905 78. 58311 1 710. 39767 22 318. 83296 57 3 294. 417 34 914. 652 300 430. 603 78. 67754 1 631. 81456 20 608. 43529 58 3 058. 862 31 620. 235 265 515. 951 78. 13510 1 553. 13702 18 976. 62073 59 2 835. 067 28 561. 373 233 895. 716 77. 51943 1 475. 00192 17 423. 48371 60 2 622. 545 25 726. 306 205 334. 343 76. 78523 1 397. 48249 15 948. 48179 61 2 420. 876 23 103. 761 179 608. 037 75. 99374 1 320. 69726 14 550. 99930 62 2 229. 603 20 682. 885 156 504. 276 75. 14975 1 244. 70352 13 230. 30204 63 2 048. 282 18 453. 282 135 821. 391 74. 30191 1 169. 55377 11 985.59852 64 1 876. 442 16 405. 000 117 368. 109 73. 07077 1 095. 25186 10 816. 04475 65 1 714.017 14 528. 558 100 963. 109 71. 46881 1 022. 18109 9 720. 79289 66 1 560. 928 12 814. 541 86 434. 551 69. 70155 950. 71228 8 698. 61180 67 1 416. 897 11 253. 613 73 620. 010 67. 75936 881. 01073 7 747. 89952 68 1 281. 666 9 836. 716 62 366. 397 65. 80958 813. 25137 6 866. 88879 69 1 154. 825 8 555. 050 52 529. 681 63. 66177 747. 44179 6 053. 63742 70 1 036. 172 7 400. 225 43 974. 631 61. 31887 683. 78002 5 306. 19563 71 925. 5112 6 364. 0531 36 574. 4056 58. 96533 622. 46115 4 622. 41561 72 822. 4739 5 438. 5419 30 210. 3525 56. 64010 563. 49582 3 999. 95446 73 726. 6684 4 616. 0680 24 771. 8106 54. 21336 506. 85572 3 436. 45864 74 637. 8519 3 889. 3996 20 155. 7426 51. 63176 452. 64236 2 929. 60292 75 555. 8461 3 251. 5477 16 266. 3430 48. 97690 401. 01060 2 476. 96056 76 480. 4004 2 695. 7016 13 014. 7953 45. 92059 352. 03370 . 2 075. 94996 77 411. 6036 2 215. 3012 10 319. 0937 42,35471 306. 11311 1 723. 91626 78 349. 6488 1 803. 6976 8 103. 7925 38. 57938 263. 75840 1 417. 80315 79 294. 4193 1 454. 0488 6 300. 0949 35. 04741 225. 17902 1 154. 04475 80 245. 3521 1 159.6295 4 846. 0461 31. 72590 190. 13161 928. 86573 81 201. 9427 914. 2774 3 686. 4166 28. 31182 158. 40571 738. 73412 82 164. 0145 712. 3347 2 772. 1392 24. 73264 130. 09389 580. 32841 83 131. 4717 548. 3202 2 059. 8045 21. 09816 105. 36125 450. 23452 84 104. 1130 416. 8485 1 511. 4843 17. 81696 84. 26309 344. 87327 85 81. 33828 312. 73547 1 094. 63582 14. 80041 66. 44613 260. 61018 86 62. 66461 231. 39719 781. 90035 12. 11679 51. 64572 194. 16405 87 47. 56379 168. 73258 550. 50316 9. 76445 39. 52893 142. 51833 88 35. 53440 121. 16879 381. 77058 7. 72572 29. 76448 102. 98940 89 26. 11657 85. 63439 260. 60179 6. 00765 22. 03876 73. 22492 90 18. 86526 59. 51782 174. 96740 4. 58906 16. 03111 51. 18616 91 13. 37787 40. 65256 115. 44958 3. 42677 11. 44205 35. 15505 92 9. 31406 27. 27469 74. 79702 2. 50387 8. 01528 23. 71300 93 6. 36667 17. 96063 47. 52233 1. 79357 5. 51141 15. 69772 94 4. 26992 11. 59396 29. 56170 1. 26171 3. 71784 10. 18631 95 2. 80488 7. 32404 17. 96774 . 86887 2. 45613 6. 46847 96 1. 80245 4. 51916 10. 64370 . 58101 1. 58726 4. 01234 97 1. 13561 2. 71671 6. 12454 . 39405 1. 00625 2. 42508 98 . 68748 1. 58110 3. 40783 . 24753 . 61220 1. 41883 99 . 40722 . 89362 1. 82673 . 15209 . 36467 . 80663 100 . 23574 . 48640 . 93311 09415 . 21258 . 44196 101 . 13036 . 25066 . 44671 . 05518 . 11843 . 22938 102 . 06898 . 12030 . 19605 . 03285 . 06325 . 11095 103 . 03285 . 05132 . 07575 . 01877 . 03040 .04770 104 .01251 . 01847 . 02443 . 00596 . 01163 . 01730 105 . 00596 . 00596 . 00596 .00567 . 00567 .00567 1 This table appears on pages G8 and 69. 310 Table 98 UNITED STATES LIFE TABLES. COMMUTATION COLUMNS, 6%. WHITE MALES BASED ON LIFE TABLE FOR WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1910. l AGE. WHITE MALES. X D, N x Sz <-V M x Rj Years. 100 000. 00 1 396 001. 57 21 172 927. 98 11 628. 30 20 981. 04 197 533. 95 1 82 711. 32 1 296 001. 57 19 776 926. 41 2 200. 961 9 352. 740 176 552. 914 2 75 828. 59 1 213 290. 25 18 480 924. 84 910. 1473 7 151. 7786 167 200. 1738 3 • 70 626. 25 1 137 461. 66 17 267 634. 59 529. 1186 6 241. 6313 160 048. 3952 4 66 099. 42 1 066 835. 41 16 130 172. 93 356. 4421 5 712. 5127 153 806. 7639 5 62 001. 50 1 000 735. 99 15 063 337. 52 275. 6396 5 356. 0706 148 094. 2512 6 58 216. 35 938 734. 49 14 062 601. 53 219. 4688 5 080. 4310 142 738. 1806 7 54 701. 61 880 518. 14 13 123 867. 04 175. 6755 4 860. 9622 137 657. 7496 8 51 429. 62 825 816. 53 12 243 348. 90 142. 0556 4 685. 2867 132 796. 7874 9 48 376. 45 774 386. 91 11 417 532. 37 118. 3797 4 543. 2311 128 111. 5007 10 45 519. 78 726 010. 46 10 643 145. 46 102. 1968 4 424. 8514 123 568. 2896 11 42 841. 00 680 490. 68 9 917 135. 00 91. 9393 4 322. 6546 119 143. 4182 12 40 324. 09 637 649. 68 9 236 644. 32 87. 2041 4 230. 7153 114 820. 7636 13 37 954. 39 597 325. 59 8 598 994. 64 86. 2487 4 143.5112 110 590. 0483 14 35 719. 78 559 371. 20 8 001 669. 05 87. 6257 4 057. 2625 106 446. 5371 15 33 610. 28 523 651.42 7 442 297. 85 89. 7514 3 969. 6368 102 389. 2746 16 31 618.06 490 041. 14 6 918 646. 43 93. 9552 3 879. 8854 98 419. 6378 17 29 734. 41 458 423. 08 6 428 605. 29 99. 1473 3 785. 9302 94 539. 7524 18 27 952. 18 428 688. 67 5 970 182. 21 105.1031 ■ 3 686. 7829 90 753. 8222 19 26 264.88' 400 736. 49 5 541 493. 54 109. 4435 3 581. 6798 87 067. 0393 20 24 668. 74 374 471. 61 5 140 757. 05 113. 8381 3 472. 2363 83 485. 3595 21 23 158.56 349 802. 87 4 766 285.44 114. 6096 3 358. 3982 80 013. 1232 22 21 733.09 326 644. 31 • 4 416 482. 57 110. 4784 3 243. 7886 76 654. 7250 23 20 392. 44 304 911. 22 4 089 838. 26 104. 2249 3 133. 3102 73 410. 9364 24 19 133.92 284 518. 78 3 784 927. 04 99. 02442 3 029. 08525 70 277. 62621 25 17 951. 85 265 384. 86 3 500 408. 26 93. 63907 2 930. 06083 67 248.54096 26 16 842. 06 247 433. 01 3 235 023. 40 89. 58295 2 836. 42176 64 318. 48013 27 15 799. 16 230 590. 95 2 987 590. 39 86. 66415 2 746. 83881 61 482. 05837 28 14 818. 20 214 791. 79 2 756 999. 44 84. 89610 2 660. 17466 58 735. 21956 29 13 894. 54 199 973. 59 2 542 207. 65 82. 87642 2 575. 27856 56 075. 04490 30 13 025. 18 186 079. 05 2 342 234.06 81. 14189 2 492. 40214 53 499. 76634 31 12 206. 76 173 053. 87 2 156 155. 01 79. 80306 2 411. 26025 51 007. 36420 32 11 436. 01 160 847. 11 1 983 101.-14 78.94056 • 2 331. 45719 48 596. 10395 33 10 709. 75 - 149 411. 10 1 822 254. 03 77. 78210 2 252. 51663 46 264. 64676 34 10 025. 75 138 701. 35 1 672 842. 93 76. 63197 2 174. 73453 44 012. 13013 35 9 381. 627 128 675. 599 1 534 141. '581 75. 36283 2 098. 10256 41 837. 39560 36 8 775. 229 119 293. 972 1 405 465. 982 73. 64446 2 022. 73973 39 739. 29304 37 8 204. 873 110 518. 743 1 286 172. 010 71. 44221 1 949.09527 37 716. 55331 38 7 669.004 102 313. 870 1 175 653. 267 69. 04720 1 877. 65306 35 767. 45804 39 7 165. 863 94 644. 866 1 073 339. 397 66. 69442 1 808. 60586 33 889. 80498 40 6 693. 553 87 479. 003 978 694.531 64. 57021 1 741. 91144 32 081. 19912 41 6 250. 103 80 785. 450 891 215.528 62. 47278 1 677. 34123 30 339. 28768 42 5 833. 850 74 535. 347 810 430. 078 60. 73244 1 614.86845 28 661. 94645 43 5 442. 900 68 701. 497 735 894. 731 59. 21998 1 554. 13601 27 047. 07800 44 5 075. 591 63 258. 597 667 193. 234 57. 68416 1 494. 91603 25 492. 94199 45 4 730. 609 58 183. 006 603 934. 637 56. 40662 1 437. 23187 23 998. 02596 46 4 406. 433 53 452. 397 545 751. 631 55. 08888 1 380. 82525 22 560. 79409 47 4 101. 923 49 045. 964 492 299. 234 53. 49560 1 325. 73637 21 179.96884 48 3 816. 243 44 944. 041 443 253. 270 51. 79109 1 272. 24077 19 854. 23247 49 3 548.438 41 127.798 398 309. 229 50. 05387 1 220.44968 18 581. 99170 50 3 297. 529 37 579. 360 357 181.431 48. 29616 1 170. 39581 17 361. 54202 51 3 062. 581 34 281. 831 319 602. 071 46. 91527 1 122.09965 16 191. 14621 52 2 842. 312 31 219. 250 285 320. 240 46. 12854 1 075. 18438 15 069. 04656 53 2 635. 298 28 376. 938 254 100. 990 45. 88257 1 029. 05584 13 993. 86218 54 . 2 440. 247 25 741. 640 225 724.052 45. 67891 983. 17327 12 964. 80634 1 This table appears on pages 68 and 69. MONETARY TABLES. 311 Table 98 COMMUTATION COLUMNS, 6%. WHITE MALES BASED ON LIFE TABLE FOR WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 AGE. WHITE MALES. X D« N x Sx c* M x Rz Years. 55 2 256. 441 23 301. 393 199 982. 412 45. 77230 937. 49436 11 981. 63307 56 2 082. 946 21 044. 952 176 681. 019 45. 78096 891. 72206 11 044. 13871 57 1 919. 262 18 962. 006 155 636. 067 45. 40357 845. 94110 10 152. 41665 58 1 765. 221 17 042. 744 136 674. 061 44. 66515 800. 53753 9 306. 47555 59 1 620. 638 15 277. 523 119 631. 317 43. 89516 755. 87238 8 505. 93802 60 1 485. 009 13 656. 885 104 353. 794 43. 06924 711. 97722 7 750. 06564 61 1 357. 882 12 171. 876 90 696. 909 42.22315 668. 90798 7 038. 08842 62 1 238. 798 10 813. 994 78 525. 033 41. 36031 626. 68483 6 369. 18044 63 1 127. 317 9 575. 196 67 711. 039 40. 50789 585. 32452 5 742. 49561 64 1 022. 998 8 447. 879 58 135. 843 39. 46090 544.81663 5 157. 17109 65 925. 6322 7 424. 8811 49 687. 9641 38. 23166 505. 35573 4 612.35446 66 835. 0060 6 499. 2489 42 263. 0830 36. 93453 467. 12407 4 106. 99873 67 750. 8072 5 664. 2429 35 763. 8341 35. 56663 430. 18954 3 639. 87466 68 672. 7419 4 913. 4357 30 099. 5912 34. 21732 394. 62291 3 209. 68512 69 600. 4449 4 240. 6938 25 186.1555 32. 78832 360. 40559 2 815. 06221 70 533. 6692 3 640. 2489 20 945. 4617 31. 28368 327. 61727 2 454. 65662 71 472. 1776 3 106. 5797 17 305. 2128 29. 79916 296. 33359 2 127. 03935 72 415. 6516 2 634. 4021 14 198. 6331 28: 35402 266. 53443 1 830. 70576 73 363. 7700 2 218. 7505 11 564. 2310 26. 88316 " 238. 18041 1 564. 17133 74 316. 2961 1 854. 9805 9 345. 4805 25. 36147 211. 29725 1 325. 99092 75 273. 0310 1 538. 6844 7' 490. 5000 23. 83046 185. 93578 1 114. 69367 76 233. 7462 1 265. 6534 5 951. 8156 22. 13258 162. 10532 928. 75789 77 198. 3827 1 031. 9072 4 686. 1622 20. 22132 139. 97274 766. 65257 78 166. 9321 833.5245 3 654. 2550 18. 24511 119. 75142 626. 67983 79 139. 2379 666. 5924 . 2 820. 7305 16. 41838 101. 50631 506. 92841 80 ' 114. 9381 527.3545 2 154. 1381 14. 72218 85. 08793 405. 42210 81 ■ 93. 71012 412. 41636 1 626. 78362 13. 01,395 70.36575 . 320. 33417 82 75. 39175 318. 70624 1/214.36726 11:26148 57. 35180 '- 249. 96842 83 59. 86283 243. 31449 895. 66102 9. 51596 46. 09032 192. 61662 84 46.95840 183. 45166 652. 34653 7. 96023 36. 57436 146. 52630 85 36. 34016 136. 49326 468. 89487 6.55012 28. 61413 ' 109. 95194 86 27. 73307 100. 15310 332. 40161 5. 3U86 22. 06401 81. 33781 87 20. 85139 72. 42003 232. 24851 4. 24024 16. 752"l5' : 59. 27380 88 ; 15.43090 51. 56864 159.82848 3. 32326 12. 51191 ' 42. 52165 89 11. 23420 36. 13774 108. 25984 2. 55984 9.18865, , 30. 00974 90 8. 03844 24. 90354 72. 12210 1.93694 6. 62881 ' 20. 82109 91 5. 64650 16. 86510 47. 21856 1. 43272 4. 69187 14. 19228 92 3. 89417 11. 21860 . 30.35346 1. 03698 3. 25915 9. 50041 93 2. 63677 7. 32443 19. 13486 . 73580 2. 22217 '' 6. 24126 94 1. 75171 4. 68766 11. 81043 . 51273 1.48637 " 4.01909 95 1. 13983 2. 93595 7. 12277 . 34976 .97364 2. 53272 96 . 72556 1. 79612 4. 18682 . 23167 .62388 1. 55908 97 . 45281 1. 07056 2. 39070 .15564 .39221 . 93520 98 .27154 . 61775 1. 32014 . 09685 .23657 ' . 54299 99 . 15933 . 34621 . 70239 . 05894 . 13972 . 30642 100 . 09136 . 18688 . 35618 . 03615 . 08078 . 16670 101 . 05005 . 09552 . 16930 . 02098 . 04463 . 08592 102 . 02623 . 04547 . 07378 .01237 . 02365 .04129 103 . 01237 . 01924 . 02831 . 00700 . 01128 . 01764 104 . 00467 . 00687 . 00907 . 00220 . 00428 .00636 105 . 00220 . 00220 .00220 . 00208 . 00208 . 00208 i This table appears on pages 68 and £ 312 UNITED STATES LIFE TABLES. Table 99 LIFE ANNUITY DUE. WHITE FEMALES PRESENT VALUE, AT EACH AGE AND VARIOUS RATES OF INTEREST, OP A LIFE ANNUITY OF ONE DOLLAR PER ANNUM, FIRST PAYMENT TO BE MADE AT ONCE, BASED ON LIFE TABLE FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. > AGE. a*=N I /D x . LIFE ANNUITY DUE. WHITE FEMALES. X Zfo 3J% 4% 5% 6% Years. 23. 9867 21. 6681 19. 7231 16.6717 14. 4142 1 26. 3732 23. 8281 21. 6900 18. 3297 15. 8387 2 26. 8274 24. 2536 22. 0882 18. 6787 16. 1461 3 26. 9096 24. 3456 22. 1852 18. 7771 16. 2404 4 26. 8872 24. 3440 22. 1979 18. 8061 16. 2761 5 26. 8085 24. 2921 22. 1654 18. 7978 16. 2805 6 26. 7022 24. 2157 22. 1110 18. 7717 16. 2701 7 26. 5721 24. 1180 22. 0374 18. 7299 16. 2468 8 26. 4211 24. 0014 21. 9468 18. 6742 16. 2117 9 26. 2521 23. 8687 21. 8416 18. 6064 16. 1666 10 26. 0686 23. 7226 21. 7244 18. 5286 16. 1130 11 25. 8739 23. 5665 21. 5978 18. 4430 16. 0528 12 25. 6710 23. 4027 21. 4642 18. 3515 15. 9876 13 25. 4626 23. 2337 21. 3259 18. 2560 15. 9191 14 25. 2512 23. 0619 21. 1849 18. 1582 15. 8486 15 25. 0379 22. 8882 21. 0420 18. 0588 15. 7768 16 24. 8248 22. 7144 20. 8991 17. 9593 15. 7050 17 24. 6120 22. 5408 20. 7561 17. 8598 15. 6333 18 24. 3998 22. 3675 20. 6135 17. 7606 15. 5620 ; 19 24. 1876 22. 1941 20. 4706 17. 6613 15. 4906 20 23. 9761 22. 0212 20. 3282 17. 5624 15. 4198 21 23. 7651 21. 8486 20. 1860 17. 4638 15. 3494 ! 22 23. 5537 21. 6755 20. 0433 17. 3648 15. 2789 i 23 23. 3400 21. 5002 19. 8986 17. 2642 15. 2071 24 23. 1226 21. 3213 19. 7505 17. 1608 15. 1331 25 22. 9015 21. 1390 19. 5992 17. 0547 15. 0568 ! 26 22. 6769 20. 9532 19. 4447 16. 9459 14. 9784 ! 27 22. 4482 20. 7635 19. 2864 16. 8339 14. 8974 i 28 22. 2148 20. 5692 19. 1238 16. 7183 14. 8133 | 29 21. 9765 20. 3703 18. 9569 16. 5988 14. 7261 30 21. 7332 20. 1664 18. 7853 16. 4754 14. 6355 31 21. 4849 19. 9578 18. 6090 16. 3478 14. 5414 32 21. 2315 19. 7440 18. 4280 16. 2160 14. 4437 33 20. 9737 19. 5260 18. 2428 16. 0806 14. 3428 34 20. 7112 19. 3033 18. 0530 15. 9410 14. 2385 1 1 35 20. 4437 19. 0757 17. 8585 15. 7972 14. 1304 36 20. 1708 18. 8427 17. 6587 15. 6486 14. 0181 i 37 19. 8917 18. 6034 17. 4529 15. 4945 13. 9010 38 19. 6055 18. 3573 17. 2403 15. 3343 13. 7784 39 19. 3117 18. 1036 17. 0205 15. 1673 13. 6498 40 19. 0101 17. 8420 16. 7929 14. 9932 13. 5147 41 18. 7006 17. 5727 16. 5576 14.8118 13. 3730 42 18. 3836 17. 2957 16. 3148 14. 6233 13. 2248 43 18. 0605 17. 0125 16. 0656 14. 4287 13. 0707 44 17. 7318 16. 7232 15. 8104 14. 2280 12. 9110 45 17. 3977 16. 4284 15. 5494 14. 0216 12. 7459 46 17. 0587 16. 1282 15. 2828 13. 8095 12. 5752 47 16. 7148 15. 8227 15. 0107 13. 5917 12. 3990 j 48 16. 3652 15. 5112 14. 7322 13. 3675 12. 2166 49 16. 0094 15. 1929 14. 4468 13. 1362 12 0272 1 50 15. 6474 14. 8681 14. 1545 12. 8978 11. 8308 51 15. 2793 14. 5366 13. 8553 12. 6521 11. 6271 i 52 14. 9055 14. 1989 13. 5493 12. 3992 11. 4163 53 14. 5283 13. 8569 13. 2387 12. 1410 11. 1998 54 14. 1499 13.5129 12. 9253 11. 8792 10. 9791 1 This table appears on pages 74 and 75. MONETARY TABLES. 313 Table 99 LIFE ANNUITY DUE. WHITE FEMALES PRESENT VALUE, AT EACH AGE AND VARIOUS RATES OF INTEREST, OF A LIFE ANNUITY OF ONE DOLLAR PER ANNUM, FIRST PAYMENT TO BE MADE AT ONCE, BASED ON LIFE TABLE FOR WHITE FEMALES IN THE, ORIGINAL REGISTRATION STATES: 1910. l AGE. a,=N x /D I LIFE ANNUITY DUE. WHITE FEMALES. X Zfo 3h% 4:% 5% 6% Years. 55 13. 7713 13. 1679 12. 6101 11. 6146 10. 7551 56 13. 3945 12. 8235 12. 2948 11. 3486 10. 5291 57 13. 0202 12. 4807 11. 9802 11. 0821 10. 3017 58 12. 6467 12. 1377 11. 6646 10. 8136 10.0716 59 12. 2724 11. 7931 11. 3467 10. 5416 9. 8374 60 11. 8978 11.4472 11. 0268 10. 2665 9. 5993 61 11. 5223 11. 0995 10. 7043 9. 9878 9. 3570 62 11. 1471 10. 7511 10. 3803 9. 7064 9. 1110 63 10. 7746 10. 4043 10. 0571 9. 4243 8. 8634 64 10. 4061 10. 0606 9. 7359 9. 1427 8. 6153 65 10. 0410 9. 7191 9. 4161 8. 8611 8. 3661 66 9. 6787 9. 3794 9. 0972 8. 5790 8.1154 67 9. 3197 9. 0419 8. 7796 8. 2968 7. 8634 68 8.9654 8. 7082 8. 4648 8.0158 7. 6115 69 8. 6177 8. 3799 8. 1545 7. 7377 7. 3613 70 8. 2772 8. 0577 7. 8494 7. 4632 7. 1134 71 7. 9456 7. 7434 7. 5511 7. 1938 6. 8693 72 7. 6224 7. 4364 7. 2592 6. 9294 6. 6288 73 7. 3056 7. 1349 6. 9720 6. 6681 6. 3903 74 6. 9933 6-. 8370 6. 6877 6.4084 6. 1524 75 6. 6859 6.5431 6. 4065 6. 1505 5. 9152 76 6. 3831 6. 2530 6. 1284 5. 8943 5. 6786 77 6. 0856 5. 9674 5. 8539 5. 6404 5.4432 78 5. 7949 5. 6877 5.5847 5.3904 5. 2104 79 5. 5145 5. 4174 5. 3239 5. 1473 4. 9833 80 5. 2487 5. 1607 5. 0759 4. 9154 4. 7659 81 5. 0059 4. 9260 4.8489 4. 7028 4. 5664 82 4. 7876 4. 7149 4.6446 4. 5112 4. 3864 83 4. 5846 4. 5185 4.4545 4. 3327 4. 2185 84 4. 3858 4. 3257 4.2675 4. 1567 4. 0525 85 4. 1919 4.1375 4.0848 3.9842 3. 8894 86 4. 0010 3. 9519 3.9042 3. 8131 3. 7272 87 3. 8147 3. 7705 3. 7276 3.6454 3. 5677 88 3. 6331 3. 5934 3.5549 3. 4809 3. 4108 89 3.4584 3. 4228 3. 3882 3. 3217 3. 2586 90 3. 2937 3. 2618 3. 2307 3. 1709 3. 1141 91 3. 1395 3. 1108 3. 0829 3. 0292 2. 9780 92 2. 9985 2. 9727 2. 9476 2, 8991 2. 8529 93 2. 8691 2. 8459 2. 8232 2. 7794 2. 7376 94 2. 7516 2. 7306 2. 7101 2. 6704 2. 6325 95 2. 6438 2. 6248 2. 6062 2. 5703 2. 5358 96 2.5426 2. 5255 2. 5086 2. 4760 2. 4448 97 2. 4425 2. 4271 2. 4119 2. 3825 2. 3542 98 2. 3473 2. 3334 2. 3198 2. 2933 2. 2678 99 2. 2622 2. 2497 2. 2375 2. 2136 2. 1906 100 2. 1570 2. 1460 2. 1352 2. 1141 2. 0938 101 2. 0973 2. 0875 2. 0778 2. 0589 2. 0407 102 2. 0183 2. 0099 2. 0017 1.9854 1. 9700 103 1. 8355 1. 8292 1. 8230 1. 8108 1. 7990 104 1. 7211 1. 7165 1. 7120 1. 7030 1. 6938 105 1. 4855 1. 4831 1. 4808 1. 4757 1. 4727 106 1. 0000 1. 0000 1. 0000 1. 0000 1. 0000 1 This table appears on pages 74 and 75. 314 UNITED STATES LIFE TABLES. Table 100 SINGLE AND ANNUAL NET PREMIUMS. WHITE FEMALES PRESENT VALUE, AT EACH AGE AND VARIOUS RATES OF INTEREST, OF $1,000 WHOLE LIFE INSURANCE AND THE ANNUAL PAYMENT OF AN EQUIVALENT LIFE ANNUITY DUE, BASED ON LIFE TABLE FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 1000A :r =1000M I /D x WHITE FEMALES. lOOOP^lOOOMs/Nz AGE. 3% 8ij6 ±% Single Premium. Annual Premium. Single Premium. Annual Premium. Single Premium. Annual Premium. X IOOOAs IOOOP3 IOOOAz IOOOPj; IOOOA3 IOOOPz Years. 301. 3578 12. 5635 267. 2631 12. 3344 241. 4196 12. 2405 1 231. 8472 8. 7910 194. 2181 8. 1508 165. 7678 7.6426 2 218. 6184 8. 1491 179. 8294 7. 4145 150. 4534 6. 8115 3 216. 2238 8. 0352 176. 7191 7. 2588 146. 7245 6. 6136 4 216. 8772 8. 0662 176. 7722 7. 2614 146. 2339 6. 5877 5 219. 1705 8.1754 178. 5269 7. 3492 147. 4835 6. 6538 6 . 222. 2647 8. 3238 181. 1102 7. 4790 149. 5766 6. 7648 7 226. 0542 8. 5072 184. 4159 7. 6464 152. 4074 6. 9158 8 230. 4541 8. 7224 188. 3583 7. 8478 155. 8911 7. 1031 9 235. 3743 8. 9659 192. 8467 8. 0795 159. 9367 7. 3226 10 240. 7216 9. 2342 197. 7854 8. 3374 164. 4481 7. 5698 11 246. 3908 9. 5227 203. 0662 8. 6167 169. 3147 7. 8394 12 252. 3015 9. 8283 208. 6059 8. 9138 174. 4521 8. 1276 13 258. 3720 10. 1471 214. 3196 9. 2245 179. 7729 8. 4298 14 264. 5284 10. 4759 220. 1297 9. 5452 185. 1969 8. 7419 15 270. 7393 10. 8132 226. 0036 9. 8742 190. 6906 9. 0624 16 276. 9472 11. 1561 231. 8800 10. 2085 196. 1901 9. 3875 17 283. 1450 11. 5043 237. 7515 10. 5476 201. 6872 9. 7170 18 289. 3257 11. 8577 243. 6104 10. 8913 207. 1737 10. 0504 19 295. 5078 12. 2173 249. 4758 11. 2407 212. 6692 10. 3890 20 301. 6671 12. 5820 255. 3220 11. 5944 218. 1464 10. 7312 21 307. 8129 12. 9523 261. 1583 11. 9531 223. 6147 11. 0777 22 " 313. 9713 13. 3300 267. 0123 12. 3186 229. 1029 11. 4304 23 320. 1945 13. 7187 272. 9397 12. 6947 234. 6690 11. 7932 24 326. 5274 14. 1216 278. 9886 13. 0849 240. 3641 12. 1700 25 332. 9660 14. 5390 285. 1554 13. 4896 246. 1846 12. 5610 26 339. 5063 14. 9714 291. 4361 13. 9089 252. 1271 12. 9664 27 346. 1692 15. 4208 297. 8538 14. 3451 258. 2160 13. 3885 28 - 352. 9678 15. 8889 304. 4232 14. 8000 264. 4677 13. 8292 29 359. 9077 16. 3769 311. 1508 15. ,2748 270. 8897 14. 2898 30 366. 9944 - 16.8864 318. 0437 15. 7710 277. 4902 ' 14. 7717 31 374. 2258 17. 4181 325. 1002 16. 2894 284. 2682 15. 2758 32 381. 6080 17. 9737 332. 3278 16. 8318 291. 2326 15.8038 33 389. 1151 18. 5525 339. 6993 17. 3973 298. 3552 • 16. 3547 34 396. 7608 19. 1568 347. 2303 17. 9881 305. 6534 16. 9309 35 404. 5511 19. 7885 354. 9280 18. 6063 , 313. 1355 17. 5343 36 412. 5001 20. 4503 362. 8088 19. 2547 320. 8199 18. 1678 37 420. 6306 21. 1460 370. 8983 19. 9371 328. 7349 18. 8356 38 428. 9658 21. 8799 379. 2227 20. 6579 336. 9101 19. 5420 39 437. 5222 22. 6558 387. 8018 21. 4213 345. 3674 20. 2913 40 446. 3091 23. 4775 396. 6470 22. 2311 354. 1210 21. 0876 41 455. 3214 24. 3479 405. 7543 23. 0901 363. 1682 21. 9336 42 464. 5539 ■ 25. 2700 415. 1198 24. 0013 372. 5069 22. 8324 43 473. 9648 26. 2431 424. 6994 24. 9640 382. 0909 23. 7831 44 483. 5408 27. 2698 434. 4801 25. 9806 391. 9080 24. 7880 45 493. 2694 28. 3525 444. 4490 27. 0536 401. 9454 25. 8496 46 503. 1449 29. 4949 454. 6011 28. 1867 412. 1996 26. 9715 47 513. 1620 30. 7011 464. 9318 29. 3838 422. 6666 28. 1577 48 523. 3439 31. 9791 475. 4681 30. 6533 433. 3762 29. 4169 49 533. 7078 33. 3372 486. 2296 32. 0037 444. 3524 30. 7578 50 544. 2508 34. 7822 497. 2152 33. 4418 455. 5945 32. 1872 51 554. 9704 36. 3216 508. 4233 34. 9753 467. 1032 33. 7129 52 565. 8580 37. 9629 519. 8458 36. 6118 478. 8714 35. 3428 53 576. 8448 39. 7048 531. 4079 38. 3496 490. 8196 37. 0746 54 587. 8672 41. 5457 543. 0410 40. 1868 502. 8736 38. 9062 1 This table appears on pages 74 and 75. MONETARY TABLES. 315 Table 100 SINGLE AND ANNUAL NET PREMIUMS. WHITE FEMALES PRESENT VALUE, AT EACH AGE AND VARIOUS RATES OF INTEREST, OF $1,000 WHOLE LIFE INSURANCE AND THE ANNUAL PAYMENT OF AN EQUIVALENT LIFE ANNUITY DUE, BASED ON LIFE TABLE FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 1000A :t =1000M a; /D a! WHITE FEMALES. lOOOP^lOOOMz/Nz AGE. 3% Si fa ±% Single Premium. Annual Premium. Single Premium. Annual Premium. Single Premium. Annual Premium. X IOOOAs IOOOPz IOOOA3 IOOOPs 1000A X 1000P X Years. 55 598. 8927 43. 4883 554. 7091 42. 1259 514. 9958 40. 8399 56 609. 8691 45. 5313 566. 3535 44. 1651 527. 1222 42. 8735 57 620. 7716 47. 6776 577. 9473 46. 3073 539. 2235 45. 0096 58 631. 6503 49. 9460 589. 5460 48. 5714 551. 3602 47. 2677 59 642. 5508 52. 3573 601. 2000 50. 9790 563. 5875 49. 6696 60 653. 4623 54. 9230 612. 8978 53. 5415 575. 8936 52. 2269 61 664. 3980 57. 6617 624. 6545 56. 2777 588. 2956 54. 9587 62 675. 3271 , 60. 5832 636. 4362 59. 1973 600. 7569 57. 8746 63 686. 1781 ' 63. 6851 648. 1629 62. 2974 613. 1900 60. 9711 64 696. 9087 66. 9710 659. 7870 65. 5814 625. 5425 64. 2511 65 707. 5442 70. 4656 671. 3359 69. 0741 637. 8443 67. 7401 66 718. 0955 74. 1933 682. 8221 72. 8001 650. 1086 71. 4627 67 728. 5536 78. 1739 694. 2345 76. 7795 662. 3236 75. 4390 68 738. 8721 82. 4138 705. 5210 81. 0183 674. 4311 79. 6749 69 748. 9998 86. 9144 716. 6229 85. 5172 686. 3659 84. 1703 70 758. 9159 91. 6873 727. 5157 90. 2877 698. 0997 88. 9366 71 768. 5755 96. 7300 738. 1475 95. 3266 709. 5739 93. 9699 72 777. 9890 102. 0664 : 748. 5282 100. 6576 720. 7986 99. 2939 73 . 787. 2160 107. 7555 758. 7248 106. 3405 731. 8455 104. 9690 74 796. 3110 113. 8674 768. 7969 112. 4464 742. 7815 111. 0671 75 805. 2652 120. 4423 778. 7347 119. 0156 753. 5946 117. 6289 76 814.0847 127. 5376 788.5450 126. 1061 764. 2917 124. 7129 77 822. 7505 135. 1971 798. 2054 133. 7620 774. 8483 132. 3637 78 , 831. 2159 143. 4386 807. 6619 142. 0014 785. 2043 140. 5996 79 839. 3836 152. 2137 ' 816. 8043 150. 7752 795. 2344 149. 3705 80 847. 1265 161. 3986 825. 4855 159. 9575 804. 7740 158. 5489 81 854. 1966 170. 6378 ', 833. 4199 169. 1877 813. 5021 167. 7689 82 860. 5558 179. 7478 840. 5600 178. 2786 821. 3596 176. 8400 83 866. 4667 188. 9935 847. 2018 187. 4980 828. 6743 186. 0322 84 872. 2590 198. 8836 853. 7203 197. 3599 835. 8637 195. 8652 85 877. 9048 209. 4269 . 860. 0829 207.8726 842. 8910 206. 3464 86 883. 4674 220. 8142 866. 3619 219. 2284 849. 8369 217. 6700 87 888. 8918 233. 0161 872. 4939 231. 3974 856. 6296 229. 8054 88 894. 1812 246. 1201 878. 4826 . 244. 4681 863. 2740 242. 8421 89 899. 2705 260. 0260 884. 2525 258. 3400 869. 6841 256. 6793 90 904. 0680 274. 4875 889. 6983 272. 7655 875. 7419 271. 0683 91 908. 5595 289. 4008 894. 8027 287. 6409 881. 4259 285. 9053 92. 912. 6660 304. 3768 899. 4730 302. 5751 886. 6309 300. 7975 93 916. 4336 319. 4130 903. 7618 317. 5660 891. 4144 315. 7430 94 919. 8573 334. 3027 907. 6609 332. 4053 895. 7665 330. 5323 95 922. 9960 349. 1143 911. 2376 347. 1610 899. 7595 345. 2320 96 925. 9431 364. 1669 914. 5974 362. 1519 903. 5132 360. 1616 97 928. 8584 380. 2853 917. 9239 378. 2055 907. 2340 376. 1508 98 931. 6319 396. 8911 921. 0891 394. 7399 910. 7778 392. 6159 99 934. 1112 412. 9192 923. 9194 410. 6825 913. 9447 408. 4748 100 937. 1811 434. 4926 927. 4301 432. 1731 917. 8834 429. 8854 101 938. 9198 447. 6740 929. 4034 445. 2259 920. 0983 442. 8142 102 941. 2210 466. 3420 932. 0286 463. 7179 923. 0169 461. 1216 103 946. 5533 515. 6963 938. 1403 512. 8678 929. 9105 510. 0888 104 949. 9243 551. 9213 942. 0134 548. 7957 934. 2688 545. 7291 105 956. 7784 644. 0945 949. 8055 640. 4396 943. 1644 636. 9295 106 970. 8582 970. 8582 966. 2577 966. 2577 961. 6613 961. 6613 1 This table appears on pages 74 and 1 UNITED STATES LIFE TABLES. COMMUTATION COLUMNS, 3%. 316 Table 101 ' '< 'MM i/TATTO?-; COLUMNS,:*';. WHITE FEMALES- BASED ON LIFE TABLE FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 AGE. WHITE FEMALES. X D* Ns Sj; Cx M x Rx Years. 100 000. 00 2 398 671. 57 54 635 739. 24 9 928. 155 30 135. 780 807 339.357 1 87 159.22 2 298 671.57 52 237 067. 67 2 185.880 20 207. 625 777 203.577 2 82 434.73 2 211 512.35 49 938 396. 10 914. 2265 18 021. 7449 756 995.9525 3 79 119.49 2 129 077.62 47 726 883. 75 572.1857 17 107.5184 738 974.2076 4 76 242.85 2 049 958.13 45 597 806. 13 399. 3879 16 535.3327 721 8G6.6892 5 73 622.80 1 973 715.28 43 547 848.00 319. 9190 16 135. 9448 705 331. 3565 6 71 158.53 1 900 092.48 41 574 132. 72 256. 9369 15 816.0258 689 195.4117 7 68 829.01 1 828 933. 95 39 674 040. 24 206. 8252 15 559. 0889 673 379.3859 8 66 617.46 1 760 104. 94 37 845 106.29 168.6117 15 352.2637 657 820.2970 9 64 508.53 1 693 487.48 36 085 001. 35 141.3778 15 183. 6520 642 468.0333 10 62 488. 26 1 628 978.95 34 391 513. 87 124. 9789 15 042.2742 627 284.3813 11 60 543.24 1 566 490. 69 32 762 534.92 116. 4291 14 917.2953 612 242.1071 12 58 663.41 1 505 947.45 31 196 044. 23 115. 0808 14 800. 8662 597 324.8118 13 56 839. 69 1 447 284.04 29 690 096. 78 119. 6623 14 685. 7854 582 523.9456 14 55 064. 50 1 390 444. 35 28 242 812.74 126. 4468 14 566.1231 567 838.1602 15 53 334.24 1 335 379.85 26 852 368. 39 137.0967 14 439. 6763 553 272.0371 16 51 643.71 1 282 045. 61 25 516 988. 54 147. 6240 14 302. 5796 538 832.3608 17 49 991.90 1 230 401.90 24 234 942. 93 158. 0092 14 154. 9556 524 529. 7812 18 48 377.82 1 180 410. 00 23 004 541.03 166. 5235 13 996.9464 510 374. 8256 19 46 802.23 1 132 032.18 21 824 131.03 176. 0689 13 830.4229 496 377.8792 20 45 262.99 1 085 229. 95 20 692 098.85 184. 3794 13 654.3540 482 547.4563 21 43 760.27 1 039 966. 96 19 606 868. 90 190. 4908 13 469. 9746 468 893. 1023 22 42 295.21 996 206.69 18 566 901.94 193. 0496 13 279.4838 455 423.1277 23 40 870. 26 953 911.48 17 570 695. 25 192. 8380 13 086.4342 442 143.6439 24 - 39 487. 03 913 041.22 16 616 783.77 192.9527 12 893. 5962 429 057.2097 25 38 143.97 873 554.19 15 703 742.55 193. 3607 12 700.6435 416 163. 6135 26 36 839. 62 835 410. 22 14 830 188. 36 192. 6809 12 507.2828 403 462. 9700 27 35 573.94 798 570.60 13 994 778. 14 191.4396 12 314. 6019 390 955. 6872 28 34 346. 37 762 996.66 13 196 207.54 190. 1072 12 123. 1623 378 641.0853 29 33 155.88 728 650.29 12 433 210.88 188. 6899 11 933.0551 366 517.9230 30 32 001.48 695 494.41 11 704 560. 59 187. 5940 11 744.3652 354 584.8679 31 30 881.81 663 492. 93 11 009 066. 18 186.4018 11 556.7712 342 840. 5027 32 29 795.94 632 611.12 10 345 573. 25 186. 6280 11 370.3694 331 283. 7315 33 28 741.47 602 815. 18 9 712 962.13 186. 3169 11 183.7414 319 913.3621 34 27 718.02 574 073. 71 9 110 146.95 185. 8655 10 997.4245 308 729. 6207 35 26 724.83 546 355.69 8 536 073.24 184. 9374 10 811. 5590 297 732.1962 36 25 761.50 519 630. 86 7 989 717. 55 183. 2357 10 626.6216 286 920.6372 37 24 827. 93 493 869. 36 i 7 470 086. 69 180. 8257 10 443. 3859 276 294.0156 38 23 923.96 469 041.43 6 976 217.33 178. 0850 10 262.5602 265 850. 6297 39 23 049.06 445 117.47 6 507 175.90 175. 3505 10 084. 4752 255 588.0695 40 22 202.38 422 068.41 6 062 058.43 173.2195 9 909. 1247 245 503.5943 41 21 382.49 399 866.03 5 639 990. 02 171.6418 9 735. 9052 235 594. 4696 42 20 538.06 378 483. 54 5 240 123. 99 171.9728 9 564.2634 225 858. 5644 43 19 816.43 357 895. 48 4 861 640. 45 172. 9561 9 392.2906 216 294. 3010 44 19 066.30 338 079.05 4 503 744.97 174. 5295 9 219. 3345 206 902.0104 45 18 336.44 319 012.75 4 165 665. 92 176. 3780 9 044. 8050 197 682.6759 46 17 625.99 300 676.31 3 846 653. 17 178. 4693 8 868. 4270 188 637.8709 47 16 934. 14 283 050. 32 3 545 976.86 179. 8051 8 689. 9577 179 769. 4439 48 16 261.11 266 116.18 3 262 926. 54 180. 6768 8 510. 1526 171 079.4862 49 15 606.81 249 855. 07 2 996 810.36 181.8013 8 329.4758 162 569.3336 50 14 970.44 234 248. 26 2 746 955.29 183. 1500 8 147. 6745 154 239.8578 51 14 351.26 219 277.82 2 512 707.03 184. 9110 7 964. 5245 146 092.1833 52 13 748.35 204 926.56 2 293 429.21 188. 9190 7 779.6135 138 127.6588 53 13 158.99 191 178.21 2 088 502. 65 194. 7661 7 590.6945 130 348. 0453 54 12 580.95 178 019.22 1 897 324.44 201. 2928 7 395. 9284 122 757.3508 > This table appears on pages 74 and 75. MONETARY TABLES. COMMUTATION COLUMNS, 3%. 317 Table 101 COMMUTATION COLUMNS, 3%. WHITE FEMALES BASED ON LIFE TABLE FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 AGE. WHITE FEMALES. X r>x N x S x c x M* Rj; Years. 55 12 013. 23 165 438. 27 1 719 305. 22 208. 9935 7 194. 6356 115 361.4224 56 11 454. 33 153 425.04 1 553 866. 95 216.8167 6 985. 6421 108 166. 7868 57 10 903.89 141 970. 71 1 400 441. 91 222. 5663 6 768.8254 101 181.1447 58 10 363. 74 131 066. 82 1 258 471.20 226. 5733 6 546.2591 94 412.3193 59 9 835.309 120 703.082 1 127 404. 384 230. 4975 6 319. 6858 87 866.0602 ; 60 9 318. 347 110 867. 773 1 006 701.302 233 6714 6 089. 1883 81 546. 3744 61 8 813.267 101 549. 426 895 833. 529 237.2648 5 855. 5169 75 457. 1861 62 8 319.305 92 736.159 794 284. 103 242. 1592 5 618.2521 69 601. 6692 63 7 834. 836 84 416. 854 701 547.944 247. 3213 5 376.0929 63 983.4171 64 7 359.316 76 582.018 617 131.090 250. 9523 5 128. 7716 58 607.3242 i 65 6 894.014 69 222.702 540 549.072 253.4513 4 877.8193 53 478. 5526 66 6 439.767 62 328.688 471 326.370 255. 3158 4 624. 3680 48 600. 7333 67 5 996. 885 55 888. 921 408 997.682 257. 2586 4 369.0522 43 976.3653 68 5 564. 960 49 892.036 353 108. 761 259. 1319 4 111. 7936 39 607.3131 69 5 143. 742 44 327.076 303 216. 725 260. 0463 3 852. 6617 35 495. 5195 70 4 733. 878 39 183.334 258 889.649 260. 3197 3 592.6154 31 642.8578 71 4 335. 678 34 449.456 219 706.315 258. 6899 3 332.2957 28 050.2424 72 3 950.706 30 113. 778 185 256. 859 254. 3915 3 073. 6058 24 717.9467 73 3 581.246 26 163.072 155 143.081 247.8798 2 819.2143 21 644.3409 " 1 74 3 229.058 22 581.826 128 980.009 240. 4421 2 571.3345 18 825. 1266 75 2 894.565 19 352. 768 106 398.183 231. 8523 2 330.8924 16 253.7921 76 2 578.405 16 458.203 87 045. 415 222. 5321 2 099.0401 13 922.8997 77 2 280.774 13 879. 798 70 587.212 212.7604 1 876. 5080 11 823.8596 78 2 001.583 11 599.024 56 707.414 202. 8853 1 663.7476 9 947.3516 79 1 740.399 9 597.441 45 108.390 192.7470 1 460.8623 8 283.6040 80 1 "496. 961 7 857.042 35 510.949 182. 8448 1 268.1153 6 822. 7417 81 1 270. 516 6 360. 081 27 653.907 170. 4326 1 085.2705 5 554.6264 82 1 063.078 5 089. 565 21 293.826 153.8582 914. 8379 4 469. 3559 83 878.2561 4 026.4866 16 204.2611 134. 8483 760. 9797 3 554. 5180 84 717. 8274 3 148.2305 12 177.7745 117. 1396 626.1314 2 793. 5383 85 579. 7802 2 430.4031 9 029. 5440 100. 3480 508. 9918 2 167.4069 86 462. 5454 1 850.6229 6 599. 1409 85. 19936 408. 64378 1 658.41505 87 363. 8738 1 388. 0775 4 748.5180 71.36731 323. 44442 1 249. 77127 88 281. 9083 1 024.2037 3 360.4405 59. 06101 252.07711 926. 32685 89 214. 6363 742.2954 2 336.2368 48.18025 193. 01610 674. 24974 90 160. 2046 527. 6591 1 593.9414 38. 49423 144. 83585 481.23364 91 117.0442 367. 4545 1 066.2823 30. 12253 106. 34162 336. 39779 92 83. 51258 250. 41028 698.82783 22. 90979 76. 21909 230. 05617 93 58. 17039 166. 89770 448.41755 16. 96147 53. 30930 153. 83708 94 39. 51464 108. 72731 281.51985 12. 18470 36. 34783 100. 52778 95 26. 17902 69.21267 172. 79254 8. 49170 24. 16313 64. 17995 96 16. 92483 43.03365 103.57987 5. 74263 15. 67143 40. 01682 97 10. 68925 26. 10882 60. 54622 3.80891 9. 92880 24. 34539 98 6. 56900 15. 41957 34. 43740 2. 46532 6. 11989 14. 41659 99 3. 91235 8. 85057 19. 01783 1. 50895 3. 65457 8. 29670 100 2.28944 4. 93822 10. 16726 . 95983 2.14562 4. 64213 101 1. 26293 2. 64878 5. 22904 . 53951 1. 18579 2. 49651 102 . 68664 1. 38585 2. 58026 . 28570 . 64628 1.31072 103 . 38094 . 69921 1.19441 . 18492 . 36058 . 66444 104 . 18492 . 31827 .49520 . 08977 . 17566 . 30386 105 .08977 . 13335 .17693 .04358 . 08589 . 12820 106 .04358 .04358 .04358 .04231 .04231 .04231 i This table appears on pages 74 and 75. UNITED STATES LIFE TABLES. COMMUTATION COLUMNS, SH%. 318 Table 102 Ls si u ;i , WHITE FEMALES BASED ON LIFE TABLE FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. AGE. WHITE FEMALES. X D* N x Sj. o. M x Rj Years. 100 000. 00 2 166 807. 60 46 002 274. 69 9 880. 193 26 726.312 611 175. 112 1 86 738. 16 2 066 807. 60 43 835 467. 09 2 164. 811 16 846. 119 584 448. 800 2 81 640. 18 1 980 069. 44 41 768 659. 49 901. 0408 14 681. 3079 567 602. 6815 3 77 978. 36 1 898 429. 26 39 788 590. 05 561. 2088 13 780. 2671 552 921. 3736 4 74 780. 20 1 820 450. 90 37 890 160. 79 389. 8336 13 219 0583 539 141. 1065 5 71 861.57 1 745 670. 70 36 069 709. 89 310. 7572 12 829. 2247 525 922. 0482 6 69 120.71 1 673 809. 13 34 324 039. 19 248. 3731 12 518.4675 513 092. 8235 7 66 534.92 1 604 688. 42 32 650 230. 06 198. 9658 12 270. 0944 500 574. 3560 8 64 085. 98 1 538 153. 50 31 045 541. 64 161. 4208 12 071. 1286 488 304. 2616 9 61 757.40 1 474 067. 52 29 507 388. 14 134. 6946 11 909.7078 476 233. 1330 10 59 534. 29 1 412 310. 12 28 033 320. 62 118. 4956 11 775.0132 464 323. 4252 11 57 402. 56 1 352 775. 83 26 621 010. 50 109. 8560 11 656. 5176 452 548.4120 12 55 351. 56 1 295 373. 27 25 268 234. 67 108. 0593 11 546.6616 440 891. 8944 13 53 371. 70 1 240 021. 71 23 972 861. 40 111. 8185 11 438. 6023 429 345.2328 14 51 455. 05 1 186 650.01 22 732 839.69 117.5875 11 326. 7838 417 906. 6305 15 49 597.43 1 135 194. 96 21 546 189. 68 126. 8753 11 209. 1963 406 579. 8467 16 47 793. 35 1 085 597. 53 20 410 994. 72 135. 9577 11 082. 3210 395 370. 6504 17 46 041. 19 1 037 804. 18 19 325 397. 19 144. 8191 10 946. 3633 384 288. 3294 18 44 339. 42 991 762.99 18 287 593.01 151. 8855 10 801. 5442 373 341. 9661 19 42 688.14 947 423. 57 17 295 830.02 159. 8159 10 649. 6587 362 540.4219 20 41 084. 76 904 735.43 16 348 406. 45 166. 5508 10 489. 8428 351 890. 7632 21 39 528. 87 863 650. 67 15 443 671. 02 171. 2400 10 323. 2920 341 400. 9204 ' 22 38 020. 91 824 121. 80 14 580 020. 35 172. 7018 10 152. 0520 331 077. 6284 23 36 562. 47 786 100.89 13 755 898. 55 171. 6792 9 979. 3502 320 925. 5764 24 35 154.38 749 538.42 12 969 797. 66 170. 9514 9 807. 6710 310 946. 2262 25 33 794. 63 714 384. 04 12 220 259.24 170. 4853 9 636. 7196 301 138. 5552 26 32 481. 34 680 589.41 11 505 875. 20 169. 0652 9 466. 2343 291 501. 8356 27 31 213.87 648 108.07 10 825 285. 79 167. 1646 9 297. 1691 282 035. 6013 28 29 991. 16 616 894. 20 30 177 177.72 165. 1992 9 130.0045 272 738.4322 29 28 811. 77 586 903.04 9 560 283. 52 163. 1755 8 964. 8053 263 608.4277 i 30 27 674. 28 558 091. 27 8 973 380. 48 161. 4440 8 801. 6298 254 643. 6224 ; 31 26 576. 99 530 416. 99 8 415 289. 21 159. 6431 8 640. 1858 245 841. 9926 32 25 518. 61 503 840.00 7 884 872. 22 159. 0646 8 480. 5427 237 201. 8068 33 24 496. 60 478 321. 39 7 381 032. 22 158. 0323 8 321. 4781 228 721. 2641 34 23 510. 18 453 824. 79 6 902 710. 83 156. 8879 8 163.4458 220 399. 7860 35 22 558. 26 430 314. 61 6 448 886. 04 155. 3503 8 006. 5579 212 236.3402 : 36 21 640. 07 407 756.35 6 018 571. 43 153. 1773 7 851. 2076 204 229. 7823 37 20 755. 10 386 116.28 5 610 815. 08 150. 4324 7 698.0303 196 378. 5747 38 19 902. 81 365 361. 18 5 224 698. 80 147. 4367 7 547. 5979 188 680. 5444 ; 39 19 082. 33 345 458. 37 4 859 337. 62 144. 4715 7 400. 1612 181 132.9465 40 18 292. 56 326 376. 04 4 513 879. 25 142. 0263 7 255. 6897 173 732. 7853 41 17 531. 95 308 083. 48 4 187 503. 21 140. 0528 7 113. 6634 166 477. 0956 42 16 799. 03 290 551. 53 3 879 419. 73 139. 6450 6 973. 6106 159 363. 4322 43 16 091. 30 273 752. 50 3 588 868. 20 139. 7650 6 833. 9656 152 389. 8216 \ 44 15 407. 38 257 661.20 3 315 115. 70 140. 3551 6 694.2006 lib 555. 8560 45 14 746.00 242 253.82 3 057 454. 50 141. 1564 6 553. 8455 138 861. 6554 46 14 106. 19 227 507. 82 2 815 200. 68 142. 1401 6 412. 6891 132 307. 8099 47 13 487. 03 213 401. 63 2 587 692. 86 142. 5122 6 270. 5490 125 895. 1208 48 12 888.43 199 914. 60 2 374 291. 23 142. 5113 6 128.0368 119 624. 5718 49 12 310.08 187 026. 17 2 174 376. 63 142. 7055 5 985. 5255 113 496. 5350 50 11 751.09 174 716. 09 1 987 350.46 143. 0697 5 842. 8200 107 511.0095 51 11 210. 64 162 965.00 1 812 634. 37 143. 7475 5 699. 7503 101 668. 1895 52 10 687. 79 151 754. 36 1 649 669. 37 146. 1538 5 556. 0028 95 968. 4392 53 10 180. 22 141 066. 57 1 497 915. 01 149. 9493 5 409. 8490 90 412. 4364 54 9 686.008 130 886. 351 1 356 848. 438 154. 2256 5 259. 8997 85 002. 5874 1 This table appears on pages 74 and 75. MONETARY TABLES. 319 Table 102 COMMUTATION COLUMNS, 3H%. WHITE FEMALES BASED ON LIFE TABLE FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 AGE. WHITE FEMALES. X D* Ns s* Cx M x Ri Years. 55 9 204. 237 121 200. 343 1 225 962. 087 159. 3521 5 105. 6741 79 742. 6877 56 8 733. 630 111 996. 106 1 104 761. 744 164. 5184 4 946. 3220 74 637. 0136 57 8 273. 771 103 262. 476 992 765. 638 168. 0653 4 781. 8036 69 690. 6916 58 7 825. 917 ■ 94 988. 705 889 503. 162 170. 2646 4 613. 7383 64 908. 8880 59 7 391. 008 87 162.788 794 514. 457 172. 3768 4 443. 4737 60 295. 1497 60 6 968. 694 79 771. 780 707 351. 669 173. 9061 4 271. 0969 55 851. 6760 61 6 559. 131 72 803. 086 627 579. 889 175. 7274 4 097. 1908 51 580. 5791 62 6 161. 597 66 243. 955 554 776. 803 178. 4860 3 921. 4634 47 483. 3883 63 5 774. 748 60 082. 358 488 532. 848 181. 4101 3 742.9774 43 561. 9249 64 5 398. 056 54 307. 610 428 450. 490 183. 1842 3 561. 5673 39 818. 9475 65 5 032. 329 48 909. 554 374 142.880 184. 1146 3 378. 3831 36 257. 3802 66 4 678. 039 43 877. 225 325 233. 326 184. 5731 3 194. 2685 32 878.9971 67 4 335. 272 39 199. 186 281 356. 101 185. 0791 3 009. 6954 29 684. 7286 68 4 003. 589 34 863. 914 242 156. 915 185. 5262 2 824. 6163 26 675.0332 69 3 682. 676 30 860. 325 207 293. 001 185. 2814 2 639.0901 23 850.4169 70 3 372. 860 27 177. 649 176 432. 676 184. 5802 2 453. 8087 21 211. 3268 71 3 074. 221 23 804. 789 149 255. 027 182. 5385 2 269. 2285 18 757. 5181 72 2 787. 724 20 730. 568 125 450. 238 178. 6383 2 086.6900 16 488. 2896 73 2 514. 814 17 942. 844 104 719. 670 173. 2247 1 908.0517 14 401. 5996 74 2 256. 548 15 428. 030 86 776. 826 167. 2153 1 734. 8270 12 493. 5479 75 2 013. 024 13 171.482 71 348. 796 160. 4626 1 567. 6117 10 758. 7209 76 1 784.488 11 158.458 58 177. 314 153. 2682 1 407. 1491 9 191. 1092 77 1 570. 875 9 373. 970 47 018. 856 145. 8301 1 253. 8809 7 783.9601 78 1 371. 924 7 803. 095 37 644. 886 138. 3897 1 108. 0508 6 530.0792 79 1 187. 140 6 431. 171 29 841. 791 130. 8391 969. 6611 5 422. 0284 80 1 016. 156 5 244. 031 23 410. 620 123. 5178 838. 8220 4 452. 3673 81 858. 2759 4 227. 8746 18 166.5894 114. 5767 715. 3042 3 613. 5453 82 714. 6753 3 369. 5987 13 938. 7148 102. 9346 600. 7275 2 898. 2411 83 587. 5730 2 654. 9234 10 569. 1161 89. 78072 497. 79288 2 297. 51356 84 477. 9225 2 067. 3504 7 914. 1927 77. 61365 408. 01216 1 799. 72068 85 384. 1473 1 589. 4279 5 846. 8423 66. 16680 330. 39851 1 391. 70852 86 304. 9900 1 205. 2806 4 257. 4144 55. 90677 264. 23171 1 061. 31001 87 238. 7695 900. 2906 3 052. 1338 46. 60412 208. 32494 797. 07830 88 184. 0911 661. 5211 2 151. 8432 38. 38157 161. 72082 588. 75336 89 139. 4842 477. 4300 1 490. 3221 31. 15930 123. 33925 427. 03254 90 103. 6081 337. 9458 1 012. 8921 24. 77486 92. 17995 303. 69329 91 75. 32956 234. 33768 674. 94628 19. 29319 67. 40509 211. 51334 92 53. 48899 159. 00812 440. 60860 14. 60261 48. 11190 144. 10825 93 37. 07757 105. 51913 281. 60048 10. 75895 33. 50929 95. 99635 94 25. 06480 68. 44156 176. 08135 7. 69162 22. 75034 62. 48706 95 16. 52557 43. 37676 107. 63979 5. 33451 15.05872 39. 73672 96 10. 63223 26. 85119 64. 26303 3. 59011 9. 72421 24. 67800 97 6. 68258 16. 21896 37. 41184 2. 36971 6. 13410 14. 95379 98 4. 08689 9. 53638 21. 19288 1. 52638 3. 76439 8. 81969 99 2. 42230 5. 44949 11. 65650 . 92974 2. 23801 5. 05530 100 1. 41064 3. 02719 6. 20701 .58854 1. 30827 2. 81729 101 . 77440 1. 61655 3. 17982 . 32921 . 71973 1. 50902 102 . 41900 . 84215 1. 56327 . 17350 . 39052 . 78929 103 . 23133 . 42315 . 72112 . 11175 . 21702 . 39877 104 . 11175 . 19182 . 29797 . 05399 . 10527 . 18175 105 . 05399 . 08007 . 10615 . 02608 . 05128 . 07648 106 . . 02608 . 02608 . 02608 . 02520 . 02520 . 02520 ■ This table appears on pages 74 and 75. UNITED STATES LIFE TABLES. COMMUTATION COLUMNS, 4%. 320 Table 103 WHITE FEMALES BASED ON LIFE TABLE FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 AGE. WHITE FEMALES. X I>x N r &£ P, M* R* Years. 100 000. 00 1 972 309. 08 39 093 971. 56 9 832. 692 24 141. 958 468 694. 802 1 86 321. 15 1 872 309. 08 37 121 662. 48 2 144. 046 14 309. 266 444 552. 844 2 80 857. 06 1 785 987. 93 35 249 353. 40 888. 1074 12 165. 2198 430 243. 5780 3 76 859. 07 1 705 130. 87 33 463 365. 47 550. 4939 11 277. 1124 418 078. 3582 4 73 352. 46 1 628 271.80 31 758 234. 60 380. 5523 10 726. 6185 406 801. 2458 5 70 150. 66 1 554 919. 34 30 129 962. 80 301. 9002 10 346. 0662 396 074. 6273 6 67 150.65 1 484 768. 68 28 575 043. 46 240. 1340 10 044. 1660 385 728. 5611 7 64 327. 80 1 417 618. 03 27 090 274. 78 191. 4408 9 804. 0320 375 684. 3951 8 61 662.22 1 353 290. 23 25 672 656. 75 154. 5691 9 612. 5912 365 880. 3631 9 59 136. 02 1 291 628.01 24 319 366. 52 128. 3572 9 458. 0221 356 267. 7719 10 56 733. 20 1 232 491. 99 23 027 738. 51 112. 3775 9 329. 6649 346 809. 7498 11 54 438. 78 1 175 758. 79 21 795 246. 52 103. 6831 9 217. 2874 337 480. 0849 12 52 241. 30 1 121 320.01 20 619 487. 73 101. 4970 9 113. 6043 328 262. 7975 13 50 130. 52 1 069 078. 71 19 498 167. 72 104. 5230 9 012. 1073 319 149. 1932 14 48 097. 90 1 018 948. 19 18 429 089. 01 109. 3871 8 907. 5843 310 137. 0859 15 46 138. 59 970 850. 29 17 410 140. 82 117. 4598 8 798. 1972 301 229.5016 16 44 246. 57 924 711.70 16 439 290. 53 125. 2631 8 680. 7374 292 431. 3044 17 42 419. 52 880 465. 13 15 514 578. 83 132. 7860 8 555. 4743 283 750. 5670 18 40 655. 21 838 045. 61 14 634 113. 70 138. 5956 8 422. 6883 275 195. 0927 19 38 952. 95 797 390.40 13 796 068. 09 145. 1311 8 284. 0927 266 772.4044 20 37 309. 63 758 437. 45 12 998 677. 69 150. 5199 8 138. 9616 258 488. 3117 21 35 724. 13 721 127.82 12 240 240. 24 154. 0137 7 988.4417 250 349. 3501 22 34 196. 11 685 403. 69 11 519 112.42 154. 5817 7 834. 4280 242 360. 9084 23 32 726. 29 651 207. 58 10 833 708. 73 152. 9276 7 679. 8463 234 526. 4804 24 31 314. 66 618 481. 29 10' 182 501. 15 151. 5472 7 526. 9187 226 846. 6341 25 29 958. 70 587 166.63 9 564 019. 86 150. 4074 7 375. 3715 219 319. 7154 26 28 656. 04 557 207. 93 8 976 853. 23 148. 4375 7 224. 9641 211 944. 3439 27 27 405.45 528 551. 89 8 419 645. 30 146. 0631 7 076. 5266 204 719. 3798 28 26 205. 33 501 146.44 7 891 093. 41 143. 6518 6 930. 4635 197 642. 8532 29 25 053. 78 474 941. 11 7 389 946. 97 141. 2100 6 786. 8117 190 712. 3897 30 23 948. 96 449 887. 33 6 915 005. 86 139. 0399 6 645. 6017 183 925. 5780 31 22 888. 81 425 938. 37 6 465 118. 53 136. 8278 6 506. 5618 177 279.9763 32 21 871. 64 403 049. 56 6 039 180. 16 135. 6766 6 369. 7340 170 773. 4145 33 20 894. 75 381 177. 92 5 636 130. 60 134. 1480 6 234. 0574 164 403. 6805 34 19 956. 95 360 283. 17 5 254 952. 68 132. 5363 6 099. 9094 158 169.6231 35 19 056. 84 340 326. 22 4 894 669. 51 130. 6064 5 967. 3731 152 069. 7137 36 18 193. 28 321 269.38 4 554 343. 29 128. 1604 5 836. 7667 146 102. 3406 37 17 365. 38 303 076. 10 4 233 073. 91 125. 2587 ■ 5 708. 6063 140 265. 5739 38 16 572. 22 285 710. 72 3 929 997. 81 122. 1740 5 583. 3476 134 556. 9676 39 15 812. 65 269 138. 50 3 644 287. 09 119. 1413 5 461. 1736 128 973. 6200 40 15 085. 33 253 325. 85 3 375 148. 59 116. 5618 5 342. 0323 123 512.4464 41 14 388. 57 238 240. 52 3 121 822. 74 114. 3895 5 225. 4705 118 170. 4141 42 13 720. 77 223 851. 95 2 883 582. 22 113.5081 5 111. 0810 112 944. 9436 43 13 079. 54 210 131. 18 2 659 730. 27 113. 0594 4 997. 5729 107 833. 8626 44 12 463. 42 197 051. 64 2 449 599. 09 112. 9910 4 884. 5135 102 836.2897 45 11 871.07 184 588. 22 2 252 547 45 113. 0897 4 771. 5225 97 951. 7762 46 11 301.40 172 717. 15 2 067 951). 23 113. 3303 4 658. 4328 93 180. 2537 47 10 753.40 161 415. 75 1 895 242. 08 113. 0807 4 545. 1025 88 521. 8209 48 10 226. 73 150 662. 35 1 733 826. 33 112. 5363 4 432. 0218 83 976. 7184 49 9 720. 855 140 435. 617 1 583 163. 983 112. 1480 4 319. 4855 79 544. 6966 50 9 234. 829 130 714. 762 1 442 728. 366 111. 8936 4 207. 3375 75 225. 2111 51 8 767. 749 121 479. 933 1 312 013. 604 111. 8832 4 095. 4439 71 017. 8736 52 8 318. 644 112 712. 184 1 190 533. 671 113. 2092 3 983. 5607 66 922. 4297 ■ 53 7 885. 487 104 393. 540 1 077 821. 487 115. 5907 3 870. 3515 62 938. 8690 54 7 466. 609 96 508. 053 973 427. 947 118. 3156 3 754. 7608 59 068. 5175 1 This table appears on pages 74 and 75. MONETARY TABLES. 321 Table 103 COMMUTATION COLUMNS, 4%. WHITE FEMALES BASED ON LIFE TABLE FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 AGE. WHITE FEMALES. X D* N* Sx o x M x R* Years. 55 7 061. 116 89 041. 444 876 919. 894 121. 6607 3 636.4452 55 313. 7567 56 6 667. 874 81 980. 328 787 878. 450 125. 0012 3 514. 7845 51 677. 3115 57 6 286. 416 75 312. 454 705 898. 122 127. 0822 3 389. 7833 48 162. 5270 58 5 917. 549 69 026. 038 630 585. 668 128. 1262 3 262. 7011 44 772. 7437 59 5 561. 825 63 108.489 561 559. 630 129. 0920 3 134. 5749 41 510. 0426 60 5 218. 816 57 546. 664 498 451. 141 129. 6112 3 005. 4829 38 375. 4677 61 4 888. 481 52 327. 848 440 904. 477 130. 3389 2 875. 8717 35 369. 9848 62 4 570. 123 47 439. 367 388 576. 629 131. 7485 2 745. 5328 32 494. 1131 63 4 262. 601 42 869. 244 341 137.262 133. 2632 2 613. 7843 29 748. 5803 64 3 965. 392 38 606. 643 298 268. 018 133. 9195 2 480. 5211 27 134. 7960 65 3 678. 957 34 641.251 259 661 375 133. 9525 2 346. 6016 24 654. 2749 66 3 403. 507 30 962. 294 225 020. 124 133. 6405 2 212. 6491 22 307. 6733 67 3 138. 962 27 558. 787 194 057. 830 133. 3626 2 079. 0086 20 095. 0242 68 2 884. 870 24 419. 825 166 499. 043 133. 0421 1 945. 6460 18 016. 0156 69 2 640. 871 21 534. 955 142 079. 218 132. 2277 1 812. 6039 16 070. 3696 70 2 407. 072 18 894. 084 120 544. 263 131. 0940 1 680.3762 14 257. 7657 71 2 183. 398 16 487. 012 101 650. 179 129. 0207 1 549. 2822 12 577. 3895 72 1 970.400 14 303. 614 85 163.167 125. 6569 1 420. 2615 11 028. 1073 73 1 768. 959 12 333. 214 70 859. 553 121. 2631 1 294. 6046 9 607. 8458 74 1 579. 659 10 564. 255 58 526. 339 116. 4936 1 173.3415 8 313. 2412 75 1 402. 409 8 984. 596 47 962. 084 111. 2517 1 056. 8479 7 139. 8997 76 1 237. 219 7 582.187 38 977. 488 105. 7528 945. 5962 6 083. 0518 77 1 083. 881 6 344.968 31 395.301 100. 1369 839. 8434 5 137. 4556 . 78 942. 0561 5 261. 0867 25 050. 3331 94. 57089 739. 70652 4 297. 61216 79 811. 2522 4 319. 0306 19 789. 2464 88. 98126 645. 13563 3 557. 90564 80 691. 0690 3 507. 7784 15 470. 2158 83. 59826 556. 15437 2 912. 77001 81 580. 8911 2 816. 7094 11 962. 4374 77. 17405 472. 55611 2 356. 61564 82 481. 3751 2 235. 8183 9 145. 7280 68. 99906 395. 38206 1 884. 05953 83 393. 8616 1 754.4432 6 909. 9097 59. 89244 326. 38300 1 488. 67747 84 318. 8206 1 360. 5816 5 155. 4665 51. 52689 266. 49056 1 162.29447 85 255. 0314 1 041. 7610 3 794. 8849 43. 71626 214. 96367 895. 80391 86 201. 5062 786. 7296 2 753. 1239 36. 75990 171. 24741 680. 84024 87 156. 9961 585. 2234 1 966. 3943 30. 49588 134. 48751 509. 59283 88 120. 4619 428. 2273 1 381.1709 24. 99463 103. 99163 375. 10532 89 90. 83413 307. 76535 952. 94360 20. 19383 78. 99700 271. 11369 90 67. 14669 216. 93122 645.17825 15. 97898 58.80317 . 192. 11669 91 48. 58513 149. 78453 428. 24703 12. 38366 42. 82419 133. 31352 92 34. 33281 101. 19940 278. 46250 9. 32787 30. 44053 90. 48933 93 23. 68445 66. 86659 177. 26310 6. 83957 21. 11266 60. 04880 94 15. 93394 43. 18214 110. 39651 4. 86614 14. 27309 38. 93614 95 10. 45496 27. 24820 67. 21437 3. 35867 9. 40695 ' 24. 66305 96 6. 69418 16. 79324 39. 96617 2. 24951 6. 04828 15. 25610 97 4. 18720 10. 09906 23. 17293 1. 47768 3. 79877 9. 20782 98 2. 54847 5. 91186 13. 07387 . 94723 2. 32109 5. 40a(fe 99 1. 50322 3. 36339 7. 16201 . 57420 1. 37386 3. 087l?6 100 . 87120 1. 86017 3. 79862 . 36173 . 79966 1. 71410 101 . 47596 . 98897 1. 93845 . 20137 . 43793 .91444 102 . 25629 . 51301 . 94948 . 10561 . 23656 . 47651 103 . 14082 . 25672 . 43647 . 06770 . 13095 . 23995 104_ . 06770 . 11590 . 17975 . 03255 . 06325 . 10900 105 . 03255 . 04820 . 06385 . 01565 . 03070 .04575 106 . 01565 . 01565 . 01565 .01505 . 01505 . 01505 i 150822°— 21- -21 1 This table appears on pages 74 and 75. 322 UNITED STATES LIFE TABLES. Table 104 COMMUTATION COLUMNS, 5%. WHITE FEMALES BASED ON LIFE TABLE FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 AGE. WHITE FEMALES. X D* N x Sz o* U x R* Years. 100 000. 00 1 667 172.65 28 978 991. 97 9 739.048 20 610.825 287 220.646 1 85 499. 05 1 567 172. 65 27 311 819.32 2 103.401 10 871. 777 266 609. 821 2 79 324.26 1 481 673.60 25 744 646. 67 862. 9738 8 768.3761 255 738. 0439 3 74 683. 94 1 402 349.34 24 262 973.07 529. 8204 7 905. 4023 246 969. 6678 4 70 597. 74 1 327 665.40 22 860 623. 73 362. 7726 7 375. 5819 239 064. 2655 5 66 873.18 1 257 067. 66 21 532 958. 33 285. 0543 7 012.8093 231 688.6836 6 63 403. 68 1 190 194.48 20 275 890. 67 224. 5753 6 727.7550 224 675.8743 7 60 159. 89 1 126 790.80 19 085 696. 19 177. 3319 6 503. 1797 217 948. 1193 8 57 117.80 1 066 630.91 17 958 905. 39 141. 8140 6 325. 8478 211 444. 9396 9 54 256. 09 1 009 513.11 16 892 274.48 116. 6435 6 184.0338 205 119.0918 10 51 555.82 955 257.02 15 882 761.37 101.1495 6 067. 3903 198 935.0580 11 48 999. 63 903 701.20 14 927 504.35 92.4350 5 966.2408 192 867. 6677 12 46 573.88 854 701.57 14 023 803. 15 89. 6243 5 873. 8058 186 901.4269 13 44 266.45 808 127.69 13 169 101.58 91.4173 5 784. 1815 181 027.6211 14 42 067. 11 763 861. 24 12 360 973. 89 94. 7604 5 692. 7642 175 243.4396 15 39 969. 15 721 794.13 11 597 112.65 100. 7845 5 598. 0038 169 550. 6754 16 37 965.08 681 824.98 10 875 318.52 106. 4564 5 497. 2193 163 952.6716 17 36 050.76 643 859. 90 10 193 493. 54 111. 7751 5 390. 7629 158 455.4523 18 34 222.28 607 809.14 9 549 633.64 115. 5543 5 278. 9878 153 064.6894 19 32 477.09 573 586.86 8 941 824. 50 119. 8509 5 163.4335 147 785.7016 20 30 810. 71 541 109.77 8 368 237.64 123. 1172 5 043. 5826 142 622.2681 21 29 220.42 510 299.06 7 827 127. 87 124. 7752 4 920.4654 137 578.6855 22 27 704.20 481 078.64 7 316 828. 81 124. 0427 4 795.6902 132 658.2201 23 26 260. 91 453 374.44 6 835 750. 17 121. 5466 4 671.6475 127 862.5299 24 24 888.84 427 113.53 6 382 375. 73 119.3023 4 550. 1009 123 190.8824 25 23 584.36 402 224. 69 5 955 262.20 117. 2774 4 430. 7986 118 640. 7815 26 22 344. 01 378 640.33 5 553 037. 51 114. 6391 4 313. 5212 114 209. 9829 27 21 165.37 356 296.32 5 174 397. 18 111. 7310 4 198.8821 109 896.4617 28 20 045. 77 335 130.95 4 818 100.86 108. 8400 4 087.1511 105 697.5796 29 18 982.37 315 085. 18 4 482 969.91 105. 9709 3 978.3111 101 610.4285 30 17 972.47 296 102.81 4 167 884. 73 103. 3486 3 872.3402 97 632.1174 31 17 013.29 278 130.34 3 871 781. 92 100. 7358 3 768. 9916 93 759.7772 32 16 102.40 261 117.05 3 593 651. 58 98. 93691 3 668.25584 89 990. 78555 33 15 236. 68 245 014.65 3 332 534. 53 96. 89059 3 569.31893 86 322. 52971 34 14 414.24 229 777.97 3 087 519. 88 94. 81482 3 472.42834 82 753.21078 35 13 633. 03 215 363. 73 2 857 741. 91 92. 54437 3 377.61352 79 280.78244 36 12 891.29 201 730.70 2 642 378. 18 89. 94629 3 285.06915 75 903. 16892 37 12 187.48 188 839.41 2 440 647.48 87. 07258 3 195.12286 72 618.09977 38 11 520.05 176 651.93 2 251 808.07 84. 11946 3 108.05028 69 422. 97691 39 10 887.35 165 131.88 2 075 156. 14 81.25013 3 023. 93082 66 314.92663 40 10 287. 66 154 244. 53 1 910 024.26 78. 73389 2 942. 68069 63 290. 99581 41 9 719.036 143 956.874 1 755 779. 733 76. 53073 2 863.94680 60 348.31512 42 9 179. 694 134 237.838 1 611 822. 859 75.21780 2 787.41607 57 484.36832 43 8 667.348 125 058.144 1 477 585.021 74. 20694 2 712.19827 54 696. 95225 44 8 180.410 116 390.796 1 352 526. 877 73. 45570 2 637.99133 51 984.75398 45 7 717.411 108 210. 386 1 236 136.081 72. 81972 2 564. 53563 49 346. 76265 46 7 277.096 100 492. 975 1 127 925. 695 72. 27963 2 491. 71591 46 782.22702 47 6 858.287 93 215.879 1 027 432. 720 71.43359 2 419.43628 44 290.51111 48 6 460. 269 86 357.592 934 216. 841 70. 41265 2 348.00269 41 871.07483 49 6 082.224 79 897.323 847 859. 249 69. 50137 2 277.59004 39 523.07214 50 5 723. 094 73 815. 099 767 961.926 68. 68332 2 208.08867 37 245.48210 51 5 381.882 68 092.005 694 146.827 68. 02286 2 139.40535 35 037.39343 52 5 057. 579 62 710.123 626 054. 822 68. 17352 2 071. 38249 32 897.98808 53 4 748. 568 57 652.544 563 344. 699 68. 94475 2 003. 20897 30 826.60559 54 4 453. 501 52 903. 976 505 692. 155 69. 89791 1 934.26422 28 823.39662 i This table appears on pages 74 and 75. MONETARY TABLES. Table 104 COMMUTATION COLUMNS, 5%. BASED ON LIFE TABLE FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 323 WHITE FEMALES AGE. WHITE FEMALES. X D* fix S x c« U x Rz Years. 55 4 171. 532 48 450. 475 452 788.179 71. 18960 1 864. 36631 26 889. 13240 56 3 901. 698 44 278. 943 404 337. 704 72.44768 1 793.17671 25 024. 76609 57 3 643. 455 40 377.245 360 058. 761 72. 95232 1 720. 72903 23 231. 58938 58 3 397. C05 36 733.790 319 681. 516 72.85114 1 647. 77671 21 510. 86035 59 3 162.392 33 336. 785 282 947. 726 72. 70124 1 574.92557 19 863.08364 60 2 939.100 30 174. 393 249 610.941 72. 29845 1 502.22433 18 288. 15807 61 2 726.844 27 235.293 219 436.548 72. 01196 1 429. 92588 16 785.93374 62 2 524. 983 24 508.449 192 201.255 72. 09751 1 357.91392 15 356. 00786 63 2 332.648 21 983.466 167 692. 806 72.23185 1 285.81641 13 998. 09394 64 2 149.338 19 650.818 145 709.340 71.89627 1 213. 58456 12 712.27753 65 1 975.092 17 501.480 126 058. 522 71.22912 1 141. 68829 11 498. 69297 66 1 809.811 15 526.388 108 557. 042 70.38640 1 070.45917 10 357.00468 67 1 653.243 13 716. 577 93 030. 654 69. 57110 1 000.07277 9 286. 54551 68 1 504.946 12 063.334 79 314. 077 68. 74288 930. 50167 8 286.47274 69 1 364.539 10 558.388 67 250. 743 67. 67144 861. 75879 7 355. 97107 70 1 231. 890 9 193. 849 56 692.355 66. 45226 794. 08735 6 494. 21228 71 1 106.776 7 961. 959 47 498. 506 64. 77839 727. 63509 5 700.12493 72 989. 2939 6 855. 1831 39 536. 5470 62. 48866 662. 85670 4 972.48984 73 879. 6961 5 865. 8892 32 681.3639 59. 72933 600. 36804 4 309. 63314 74 778. 0766 4 986! 1931 26 815.4747 56. 83356 540. 63871 3 709.26510 75 684. 1916 4 208. 1165 21 829.2816 53. 75933 483. 80515 3 168.62639 76 597. 8518 3 523.9249 17 621. 1651 50. 61542 430. 04582 2 684.82124 77 518. 7672 2 926.0731 14 097. 2402 47.47109 379. 43040 2 254.77542 78 446. 5930 2 407.3059 11 171. 1671 44. 40548 331. 95931 1 875.34502 79 380. 9210 1 960. 7129 8 763.8612 41. 38299 287. 55383 1 543.38571 80 321. 3991 1 579.7919 6 803. 1483 38. 50920 246. 17084 1 255.83188 81 267. 5852 1 258.3928 5 223. 3564 35. 21134 207. 66164 1 009. 66104 82 219. 6316 990. 8076 3 964. 9636 31. 18161 172.45030 801. 99940 83 177. 9914 771. 1760 2 974.1560 26. 80843 141. 26869 629.54910 84 142. 7072 593. 1846 2 202.9800 22.84428 114.46026 488.28041 85 113.0673 450. 4774 1 609. 7954 19. 19687 91. 61598 373. 82015 86 88.48629 337. 41010 1 159.31796 15. 98843 72. 41911 282. 20417 87 68. 28422 248. 92381 821. 90786 13. 13762 56.43068 209. 78506 88 51. 89497 180. 63959 572. 98405 10. 66513 43. 29306 153.35438 89 38. 75865 128. 74462 392. 34446 8. 53458 32. 62793 110.06132 90 28.37841 89. 98597 263. 59984 6. 68893 24. 09335 77.43339 91 20. 33813 61. 60756 173.61387 5. 13453 17.40442 53. 34004 92 14. 23513 41. 26943 112. 00631 3. 83070 12.26989 35.93562 93 9. 72655 27. 03430 70. 73688 2. 78207 8.43919 23. 66573 94 6.48131 17. 30775 43. 70258 1. 96050 5. 65712 15.22654 95 4.21217 10. 82644 26. 39483 1. 34028 3. 69662 9. 56942 96 2. 67132 6. 61427 15. 56839 . 88912 2. 35634 5. 87280 97 1. 65499 3. 94295 8. 95412 .57849 1. 46722 3. 51646 98 . 99769 2.28796 5. 01117 . 36730 . 88873 2.04924 99 . 58288 1.29027 2. 72321 .22053 . 52143 1. 16051 100 .33460 . 70739 1.43294 . 13761 . 30090 .63908 101 . 18106 .37279 . 72555 .07587 . 16329 . 33818 102 .09657 . 19173 . 35276 . 03941 . 08742 . 17489 103 . 05255 .09516 . 16103 . 02502 . 04801 .08747 104 .02502 .04261 . 06587 . 01192 .02299 .03946 105 . 01192 .01759 . 02326 . 00567 . 01107 .01647 106 . 00567 .00567 . 00567 . 00540 . 00540 .00540 > This table appears on pages 74 and 75. 324 UNITED STATES LIFE TABLES. Table 105 COMMUTATION COLUMNS, 6%. WHITE FEMALES BASED ON LIFE TABLE FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. 1 AGE. WHITE FEMALES. X T> x N* Sx G x Ms Ri Years. 100 000. 00 1 441 420. 18 22 171 083. 68 9 647. 170 18 410. 180 186 453. 196 1 84 692. 45 1 341 420. 18 20 729 663. 50 2 063. 902 8 763. 010 168 043. 016 2 77 834. 64 1 256 727. 73 19 388 243. 32 838. 7797 6 699. 1084 159 280. 0063 3 72 590. 12 1 178 893. 09 18 131 515. 59 510. 1083 5 860. 3287 152 580. 8979 4 67 971. 14 1 106 302. 97 16 952 622. 50 345. 9805 5 350. 2204 146 720. 5692 5 63 777. 74 1 038 331. 83 15 846 319. 53 269. 2949 5 004. 2399 141 370. 3488 6 59 898. 38 974 554. 09 14 807 987. 70 210. 1580 4 734. 9450 136 366. 1089 7 56 297. 75 914 655. 71 13 833 433. 61 164. 3820 4 524. 7870 131 631. 1639 8 52 946. 70 858 357. 96 12 918 777. 90 130. 2177 4 360. 4050 127 106. 3769 9 49 819. 50 805 411. 26 12 060 419. 94 106. 0950 4 230. 1873 122 745. 9719 10 46 893. 44 755 591. 76 11 255 008. 68 91. 1342 4 124.0923 118 515. 7846 11 44 147. 96 708 698. 32 10 499 416. 92 82. 4969 4 032. 9581 114 391. 6923 12 41 566. 52 664 550. 36 9 790 718. 60 79. 2338 3 950. 4612 110 358. 7342 13 39 134.46 622 983. 84 9 126 168. 24 80. 0565 3 871. 2274 10C 408. 2730 14 36 839. 25 583 849.38 8 503 184.40 82. 2012 3 791. 1709 102 537. 0456 15 34 671. 81 547 010. 13 7 919 335.02 86. 6022 3 708. 9697 98 745. 8747 16 32 622. 65 512 338. 32 7 372 324. 89 90. 6129 3 622. 3675 95 036. 9050 17 30 685. 47 479 715. 67 6 859 986. 57 94. 2425 3 531. 7546 91 414. 5375 18 28 854.31 449 030. 20 6 380 270. 90 96. 5098 3 437. 5121 87 882. 7829 19 27 124.54 420 175. 89 5 931 240. 70 99. 1539 3 341.0023 84 445. 2708 20 25 490. 04 393 051. 35 5 511 064. 81 100. 8953 3 241. 8484 81 104.2685 21 23 946. 31 367 561.31 5 118 013. 46 101. 2894 3 140.9531 77 862. 4201 22 22 489. 57 343 615. 00 4 750 452. 15 99. 74476 3 039. 66369 74 721.46702 23 21 116.83 321 125. 43 4 406 837. 15 96. 81559 2 939. 91893 71 681. 80333 24 19 824. 72 300 008. 60 4 085 711. 72 94. 13145 2 843. 10334 68 741. 88440 25 18 608. 44 280 183. 88 3 785 703. 12 91. 66078 2 748. 97189 65 898. 78106 26 17 463. 47 261 575.44 3 505 519. 24 88. 75348 2 657. 31111 63 149. 80917 27 16 386. 22 244 111. 97 3 243 943. 80 85. 68600 2 568. 55763 60 492. 49806 28 15 373.01 227 725. 75 2 999 831. 83 82. 68142 2 482 87163 57 923. 94043 29 14 420. 16 212 352. 74 2 772 106.08 79. 74244 2 400. 19021 55 441. 06880 30 13 524. 18 197 932. 58 2 559 753. 34 77. 03552 2 320. 44777 53 040. 87859 31 12 681. 62 184 408. 40 2 361 820. 76 74. 37955 2 243. 41225 50 720. 43082 32 11 889.42 171 726. 78 2 177 412. 36 72. 36218 2 169.03270 48 477. 01857 33 11 144.07 159 837. 36 2 005 685. 58 70. 19697 2 096. 67052 46 307. 98587 34 10 443. 07 148 693. 29 1 845 848. 22 68. 04503 2 026. 47355 44 211. 31535 35 9 783.913 138 250.217 1 697 154.926 65. 78905 1 958.42852 42 184. 84180 36 9 164. 317 128 466. 304 1 558 904. 709 63. 33887 1 892. 63947 40 226. 41328 37 8 582. 243 119 301. 987 1 430 438. 405 60. 73680 1 829. 3d060 38 333. 77381 38 8 035. 719 110 719. 744 1 311 136. 418 58. 12331 1 768. 56380 36 504. 47321 39 7 522. 744 102 684. 025 1 200 416. 674 55. 61109 1 710.44049 34 735. 90941 40 7 041. 317 95 161.281 1 097 732. 649 53. 38049 1 654. 82940 33 025. 46892 41 6 589. 372 88 119.964 1 002 571. 368 51. 39728 1 601.44891 31 370. 63952 42 6 164. 991 81 530. 592 914 451. 404 50. 03896 1 550.05163 29 769. 19061 43 5 765. 990 75 365. 601 832 920. 812 48. 90077 1 500.01267 28 219. 13898 44 5 390. 713 69 599. 611 757 555. 211 47. 94905 1 451. 11190 26 719. 12631 45 5 037. 629 64 208. 898 687 955. 600 47. 08548 1 403. 16285 25 268. 01441 46 4 705. 395 59 171. 269 623 746. 702 46. 29535 1 356.07737 23 864. 85156 47 4 392. 756 54 465. 874 564. 575. 433 45. 32181 1 309. 78202 22 508. 77419 48 4 098. 787 50 073. 118 510 109. 559 44. 25261 1 264 46021 21 198. 99217 49 3 822. 528 45 974. 331 460 036. 441 43. 26782 1 220.20760 19 934. 53196 50 3 562. 891 42 151. 803 414 062. 110 42. 35517 1 176. 93978 18 714. 32436 51 3 318. 863 38 588. 912 371 910. 307 41. 55215 1 134. 58461 17 537. 38458 52 3 089. 450 35 270. 049 333 321. 395 41. 25131 1 093. 03246 16 402. 79997 53 2 873. 325 32 180. 599 298 051. 346 41. 32441 1 051. 78115 15 309. 76751 54 2 669. 359 29 307. 274 265 870. 747 41. 50047 1 010. 45674 14 257. 98636 1 This table appears on pages 74 and 75. MONETARY TABLES. Table 105 COMMUTATION COLUMNS, 6%. BASED ON LIFE TABLE FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. • 325 WHITE FEMALES AGE. WHITE FEMALES. X Vx N* Si <\ M* Rj! Years. 55 2 476. 763 26 637. 915 236 563. 473 41. 86864 968. 95627 13 247. 52962 56 2 294. 700 24 161. 152 209 925. 558 42. 20658 927. 08763 12 278. 57335 57 2 122. 605 21 866. 452 185 764. 406 42. 09963 884. 88105 11 351. 48572 58 1 960. 358 19 743. 847 163 897. 954 41. 64463 842. 78142 10 466. 60467 59 1 807.750 17 783. 489 144 154. 107 41. 16687 801. 13679 9 623.82325 60 1 664.257 15 975. 739 126 370. 618 40. 55257 759. 96992 8 822. 68646 61 1 529. 501 14 311. 482 110 394. 879 40. 01082 719. 41735 8 062. 71654 62 1 402. 915 12 781. 981 96 083. 397 39. 68045 679. 40653 7 343. 29919 63 1 283. 824 11 379. 066 83 301. 416 39. 37934 639. 72608 6 663. 89266 64 1 171. 775 10 095. 242 71 922. 350 38. 82662 600. 34674 6 024. 16658 65 1 066. 622 8 923. 467 61 827. 108 38. 10344 561. 52012 5 423. 81984 66 968. 1437 7 856. 8452 52 903. 6412 37. 29742 523. 41668 4 862. 29972 67 876. 0459 6 888. 7015 45 046. 7960 36. 51761 486. 11926 4 338. 88304 68 789. 9406 6 012. 6556 38 158. 0945 35. 74248 449. 60165 3 852. 76378 69 709. 4846 5 222. 7150 32 145. 4389 34. 85345 413. 85917 3 403. 16213 70 634. 4717 4 513. 2304 26 922. 7239 33. 90263 379. 00572 2 989. 30296 71 564. 6553 3 878. 7587 22 409. 4935 32. 73690 345. 10309 2 610. 29724 72 499. 9570 3 314. 1034 18 530. 7348 31. 28180 312. 36619 2 265. 19415 73 440. 3756 2 814. 1464 15 216. 6314 29. 61840 281. 08439 1 952. 82796 74 385. 8303 2 373. 7708 12 402. 4850 27. 91659 251. 46599 1 671. 74357 75 336. 0742 1 987. 9405 10 028. 7142 26. 15742 223. 54940 1 420. 27758 76 290. 8939 1 651. 8663 8 040. 7737 24. 39537 197. 39198 1 196. 72818 77 250. 0329 1 360. 9724 6 388. 9074 22. 66402 172. 99661 999. 33620 78 213. 2160 1 110. 9395 5 027. 9350 21. 00041 150. 33259 826. 33959 79 180. 1467 897. 7235 3 916. 9955 19. 38636 129. 33218 676. 00700 80 150. 5633 717. 5768 3 019. 2720 17. 86993 109. 94582 546. 67482 81 124. 1710 567. 0135 2 301. 6952 16. 18542 92. 07589 436. 72900 82 100. 9570 442. 8425 1 734. 6817 14. 19788 75. 89047 344. 65311 83 81. 04458 341. 88551 1 291. 83920 12. 09149 61. 69259 268. 76264 84 64. 36565 260. 84093 949. 95369 10. 20632 49. 60110 207. 07005 85 50. 51601 196. 47528 689. 11276 8. 49584 39. 39478 157. 46895 86 39. 16080 145. 95927 492. 63748 7. 00914 30. 89894 118. 07417 87 29. 93498 106. 79847 346. 67821 5. 70504 23. 88980 87. 17523 88 22. 53552 76. 86349 239. 87974 4. 58767 18. 18476 63. 28543 89 16. 67227 54. 32797 163. 01625 3. 63656 13. 59709 45. 10067 90 12. 09197 37. 65570 108. 68828 2. 82325 9. 96053 31. 50358 91 8. 58428 25. 56373 71. 03258 2. 14673 7. 13728 21. 54305 92 5. 95164 16. 97945 45. 46885 1. 58649 4. 99055 14. 40577 93 4. 02827 11. 02781 28. 48940 1. 14133 3. 40406 9. 41522 94 2. 65893 6. 99954 17. 46159 . 79670 2. 26273 6. 01116 95 1. 71172 4. 34061 10. 46205 . 53952 1. 46603 3. 74843 96 1. 07531 2. 62889 6. 12144 . 35453 . 92651 2. 28240 97 . 65992 1. 55358 3. 49255 . 22849 . 57198 1. 35589 98 . 39407 . 89366 1. 93897 . 14371 . 34349 . 78391 99 . 22806 . 49959 1. 04531 . 08547 . 19978 . 44042 100 . 12968 . 27153 . 54572 . 05283 . 11431 . 24064 101 . 06951 . 14185 . 27419 . 02885 . 06148 . 12633 102 . 03672 . 07234 . 13234 . 01485 . 03263 . 06485 103 . 01980 . 03562 .06000 . 00934 . 01778 . 03222 104 . 00934 . 01582 . 02438 .00440 . 00844 .01444 105 .00440 . 00648 . 00856 . 00208 .00404 .00600 106 . 00208 . 00208 .00208 . 00196 .00196 .00196 1 This table appears on pages 74 and 75. Part VI MATHEMATICAL THEORY OF CONSTRUCTION OF LIFE TABLES Part VL— MATHEMATICAL THEORY OF CONSTRUCTION OF LIFE TABLES. DIVISION INTO THREE MAIN SECTIONS FOR CONSTRUCTION. 95. These life tables are constructed from the population and mortality returns of the Bureau of the Census; in some cases the birth registration returns have been employed. The construction may be broadly classified into three sections, the treatment varying greatly in these respective sections. The first section includes the early years of life, ranging from birth to about age 5; the second or middle range runs from about age 5 to about age 85; and the third range takes in the ages from about 85 to 115. Age 116 was assumed to be the limit of human life, and the tables are so calculated that the rate of mortality at age 115 is unity. Each of these sections, presents its own peculiar problems which will be con- sidered in detail. GRAPHICAL REPRESENTATION OF FLOW OF POPTTLATION.i 96. The work of analyzing the problems of life table construction is much simplified by the choice of a suitable graphical representation. This repre- sentation should show for each individual the date of birth, the age on any given date, the date of death, and the age at death. Various plans have been pro- posed to show graphically the above facts; of these the one described below will be employed. time axis Diagram 1.— Connection Between Flow of a Population and Time and Age. Rectangular axes OX and OT are chosen as in Diagram 1. OT is the time axis and OX the age axis, and the origin O is taken as some definite point or date 1 The graphical representation and mathematical theory out- lined in sections 96 to 106 are the outcome of a gradual develop- ment with which may be connected the names of a number of writers on mathematical statistics — Knapp, Zeuner, Becker, Lexis, Perozzo, and others. For a systematic treatment of this subject the reader is referred to Wahrscheinlichkeitsrechnung, by E. Czuber, vol. 2, p. 90. This work was freely consulted in preparing the above-mentioned sections. in time. Then (t,x) represents the individual now aged x years who was born at B just t years after the time 0. If the line PC is drawn through P perpendicular to the bisector of angle TOX it appears that OB = AC = t and OC = t+x = z. It is evident that z is the current time because P was born t years after the time O and is now x years of age. The figure also shows that P' was born t' years after the time and is now x' years of age. Since P and P' are on the same diagonal line, it follows that at the time z they are both living, but are not of the same age. A line such as BP may be termed very properly the life line of the individual P. It starts at B with his birth and moves continuously to the right, and its length at any time represents his age. Three lines, particularly important in this method of graphical representa- tion, are drawn through the point P; the one parallel to OT cuts OX at A, and OA is the age x at the time z; the one parallel to OX cuts OT at B, and OB is the time of birth measured from the origin 0; the line through P perpendicular to the bisector of angle TOX intersects OX at C, and OC represents the present or current time = z = t+x, measured from O. Consider the lines PA, PB, and PC all produced in- definitely, each dividing the plane in two regions; then another way of stating it is that all points to the left of the line PA represent persons less than x years of age, and all points to the right of PA persons more than x years of age; all points above PB repre- sent persons born before the time t, and all points below PB persons born after the time t; all points to the left of PC represent persons living before the time z, and all points to the right of PC persons living after the time z. When a person dies the life line comes to an end, and the aggregate of these end points of ter- minated life lines may be considered as representing an aggregate of the dead. Suppose now a definite area, as some state or country, is fixed upon, and an origin, as January 1, 1910, selected, and all the individuals or persons born in that country represented by appropriate life lines in a diagram such as above described. In Diagram 2 lines are drawn parallel to the axes a unit or year apart, and diagonal lines are also drawn, passing through the vertices of the unit squares and parallel to the bisector of the external angle. Let the vertical set be designated as the x lines, the horizontal as the t lines, and the diagonal as the z lines. The x and t lines divide the plane into unit squares, the t and z and the z and x lines into elemen- (329) 330 UNITED STATES LIFE TABLES. iary parallelograms. A study of what happens in each of these elementary areas will throw a great deal of light on the flow of a population or an aggregate of individuals. The upper triangle of the upper left-hand unit square, containing the origin in Diagram 2, includes individuals born in 1910 and living or dying in the age interval 0-1. Four life lines are drawn representing individuals born January 1, April 1, July 1, and October 1, in the calendar year 1910. The arrow- heads ending on the first diagonal line show that on January 1, 1911, they were, respectively, 1 year, 9 January j, 1910 months, 6 months, and 3 months old. If life lines were drawn to represent every individual born in the world during the calendar year 1910, the variable points tracing the life lines of those living on January 1, 1911, would all lie at that time on the first diagonal z line and a count or enumeration of the population of the world in the age interval 0-1 on this date would comprehend or include every life line actually reach- ing this diagonal. Deaths in this aggregate would correspond to the life lines ending within the triangle and not extending to the diagonal line. *° atie axis x Diagram 2. — Flow of a Population Measubed by Life Lines. If all the births in the world during the next calendar year, 1911, were entered in the form of life lines and a census taken January 1, 1912, the population would include all living individuals between and 2 years of age, that is, living in the age intervals 0-1 and 1-2. The diagram plainly shows that a count of life lines extending to the lower half of the second diagonal would give the 0-1 population, and a count of the life lines extending to the upper half of the second diagonal would give the population living in the age interval 1-2. The first group is seen, by following the life lines back to the OT axis, to have been born in 1911, the second group in 1910. It is evident that the process above described is one of continuous flow and that the front of the moving diagonal line corresponds to the persons alive now who were born since January 1, 1910. The plane may be considered as filled, first, with an aggregate of points, the ends of life lines which have ended or broken off, representing the number of deaths, and the ages and the dates at which deaths have occurred; and, second, life lines which have not ended or broken off and which represent various things, such as the number of persons living at the present moment, their dates of birth, and their ages. All the life lines, those broken off and those unbroken, represent the number born. MATHEMATICAL THEORY OF FLOW OF POPULATION. 97. A sufficient explanation has now been made of the graphical representation to pass to the general theory of the movement or flow of a population in time. If a large group or aggregate is taken, it may be assumed that the births, counting from a given time, are continuous; likewise for the deaths. Let the function F(t,x) denote the number of persons, born after the fixed date selected as the origin and before the time t, who are living at age x. This is a definite aggregate as soon as an area of observation has been chosen. For example, all the persons born in the world after January 1, 1800, and before January 1, 1860, who reached age 35 would be represented by F(60, 35), if January 1, 1800, were selected as the origin and the entire world were the area under consideration. FLOW OF POPULATION. 331 a* age mas time axis T Diagram 3.— Variation of Kates with Time and with Age. Referring to Diagram 3, it is evident that ¥{t + At,x)-~F(t,x) (1) is the number born in the interval At who survived to age x and that when this is divided by At and the limit is taken the result is the partial derivative of ¥(t,x) with respect to t. In other words, lim F »+^;)- g ^) -gM-y^)- y . &t=o At dt (2) This limit, which may be denoted by y=f{t,x), is clearly the rate at which persons born at the time t survive to age x. If now t remains constant and an increment Ax is given to x in the function f{t,x), f(t,x)~f(t,x + Ax) is the excess of the rate of survival to age x over that to age x + Ax. Dividing by Ax and taking the limit, it follows that lim A* df(t,x) im I" f(t,x + Ax)-f(t,x) l_ _ ,i_o L Ax ] dx dx dtdx VK ' h (3) which is the rate at which persons in the aggregate in question, born at the time t, die at the age x. TWO IMPORTANT THEOREMS. 98. There are several important theorems concern- ing the functions above described which are needed to establish certain useful relations between various types of aggregates. The first may be stated as follows : If g(t) is a single valued function and x=g{t) is the equation of a curve in the (t,x) plane, the integral of f(t,x) taken along any section of this curve is equal to the aggregate or number of persons horn in the interval (t 1} t 2 ) who are surviving at the ages corresponding to the curve x = g(t). A diagram will assist in the proof and understand- ing of this theorem. age axis y Diagram 4.— Variation in Number of Survivors with Time and with Age. 332 UNITED STATES LIFE TABLES. Taking the axis y perpendicular to the (t,x) plane, Diagram 4, the function y=f(t,x) is erected at each point in the plane, the end points thus describing a surface. The perpendiculars erected on any curve as x = g(t) in the plane wall form a cylindrical surface, and it is evident that the integral ff(t,x)dt = f/(*,x)^= fy&gimdt (4) J \~. Jh Jh can be represented by the shaded projection ijR^Ilj on the YT plane of the cylindrical surface P^P^. It thus appears that the projection of the cylindrical surface on the YT plane represents the aggregate or number of persons born in the interval (t u t 2 ) who attained the corresponding ages along the curve x = g(t) between the age limits Pi and P 2 . This same number would also be given by enumerating the life lines starting between t y and t 2 and intersecting the curve x=g(t). Another important result can be obtained by an application of Green's theorem in space of two dimen- sions. It may be stated as follows: The surface integral of tp(t,x) extended over any simple closed area A is equal to the line integral of f(t,x) taken along the boundary of A in the counterclockwise direction. X-Qll) X:ll(t) z .Alt Z A Tz Diagram 5.— Number of Deaths in Closed Area. Let #i and t 2 be tangent to the boundary of the simple closed area A at points T 1 and T 2 , respectively, and x=g(t) be the equation of the left side of the boundary of A between the points of tangency and x = h(t), the equation of the right side. Since r f Jh AGGREGATES OF LIVING AND OF DEAD. 333 is equal to the number born in the interval of time (tutz). This is a statistical aggregate and would be derived directly from accurate birth registration. Unfortunately, for most areas, reliable birth registra- tion statistics were not available for the construction of the present life tables, and the number of births had to be obtained by another method explained in the text. The function E 1 ! is in general not a statistical aggregate and is not given in the publications of the bureau. Its value must be derived from other statis- tical aggregates which have been obtained by actual enumeration. AGGREGATE OF THOSE LIVING AT SAME TIME. 100. Another important aggregate of the living con- sists of those persons living at the same time. It is made up of individuals of different ages and is a statis- tical aggregate, that is, ordinarily obtainable from collected and published data. age axis . ' X. 2 Y V 4 time axis Diagbam 7.— Birth and Age Intervals Covered by Those Living at Same Time. This aggregate would be determined by the number of life lines, shown in Diagram 7, crossing the diag- onal line P^j among those who were born in the time interval (i 13 « 2 ). The diagram shows that z = t + x is the date of observation, and a count, enumeration, or census taken at time z along the line P^ would give the population or number of persons then living in the age interval (x^x.,). The youngest person in this aggregate is aged Xi = 2 t 2 , and the oldest x 2 = z-t 1; and the general relation existing between the time of enumeration z, time of birth t, and age at enumera- tion is x = z — t. This is the equation of the diagonal line, and em- ploying the first theorem in section 98 with g(t)=z-t, the following is the result: pj/* = Jg( t>x )dt = £f(t,Z - t)dt. (8) ages x i =z — ( 2 and x 2 — z - i 1 who were born in the time interval (i\,t 2 ). By subtraction X 2 X 1 = T 2 t j , whence it appears that the age interval included in the aggregate is the same as the time of birth interval; in particular, if the latter is one year the age interval will be one year. This aggregate is taken every ten years in this country and the results tabulated and published by the Bureau of the Census. An enu- meration was made on April 15, 1910, and the next preceding one on June 1, 1900. 1 The symbol P*' l2 will be employed to represent explicitly the population between ages x t and x 2 enumerated at time z, born in the interval (t 1} i 2 ), where t 1 = z — x 2 and i 2 = z — x t . For example, if the origin is June 1, 1870, then P 2 ^ 27 would denote the number of persons living on June 1, 1910, between ages 26 and 27; the youngest in the aggregate was born June 1, 1884, and the oldest June 1, 1883, and all the others between these dates. FIRST AGGREGATE OF THE DEAD: TYPE ONE. 101. There are three mortality or death aggregates to which attention will be called. The first aggregate of the dead, D^*, referred to as type one, includes those persons who were born in the time interval ( tl ,f 2 ) and who lived to age x 1; but not to age x 2 , that is, died in the age interval (x l! x 2 ). X, t, — f, d / ^Xj/xz / / a I time a •as, ZzJX age axis This integral has for its value the population at time z of all persons in the aggregate living between Diagram 8. — Aggregate of the Dead Who were Born in Same Time Interval and Who Died in Same Age Interval. Let the dots or points in the area D^ 2 9 represent the ends or terminations of life lines which started in time interval (t lt t 2 ) and ended in age interval (x 1 ,x 2 ); then a count of these points would correspond to the regis- tration of deaths, occurring after time z 1 and before time z 2! of persons between ages x 1 and x 2 who were born in the time interval (t^Q. The first death at f occurs at the time and the last at t at the time z, = U + x. vSince z 2 -z 1 = (f, - (J + (x 2 - x,,), it appears that if the generation or birth interval 1 The last enumeration was made as of Jan. 1, 1920. 334 UNITED STATES LIFE TABLES. (< 1; i 2 ) and the age interval (x 1 ,x 2 ) are each one year, the observation interval {z x ,z 2 ) is two years. For example, if the persons in this aggregate were born in the cal- endar year 1880 and died in the age interval (25,26), that is, after reaching age 25 but before attaining age 26, the deaths must have been distributed over the two calendar years 1905 and 1906. The second theorem in section 98, when applied to the area D^, leads to the following result: D W*, = I I d Zj'2j f Z2~3?2 /-* 'af \ Z 2 ~X Z — "7 1 time axis ??, X age axis Diagram 11.— Integration to Determine Number op Dead in Type Three: Aggregate. Prom Diagram 10 it can be seen that the life lines which terminate in D^ entered through of and fe, and that the life lines which passed through it left through ad and de. Accordingly, the life lines which terminate in this area must be expressed by D 2l/22 f-O 1 ^ I -l?2 1 -li/2!-Ii\ /-nXilX2,-niZi-XzlZ2— X?\ xjx,= {r Zi +hj Xl ;-(^2, + &X, )' which agrees with equation (12). In the special case where the observation period 1 and the age interval are each one year, this reduces to- DgS-ET 1 - ■E'-f + Pf^-P^ 1 (13> and the generation interval covers two years. This relation might have been written down directly by referring to parallelogram adef in Diagram 12. RELATIONS BETWEEN AGGREGATES OF THE LIVING AND 01 THE DEAD. 104. It will be observed in the case of the three types of aggregates of the dead that, when any two- of the three variables t, x, and z are given a unit in- crement, the remaining one takes on an increment of double that amount. Diagram 12 shows the two types of aggregates of the living, Ef +1 and Pf + \ and the three types of aggregates of the dead : Type one, D^i in abdf = Di, z+ i ) «+Dj+i, (+1,1+1 or Da+D/s; Type two, D/ + y 2+2 in abed = D 2 +i,«+i j i+i + Dj:+i,2+2,( or Djj + D 7 ; Type three, D^+\ in adef = D 2 ,«, I +i+D v +u orDj+Da. 336 UNITED STATES LIFE TABLES. The last, D^tl, is the only statistical aggregate of the dead available for this country ; it is given in the form of deaths for the calendar year according to age intervals. If, in addition, these deaths were classified according to year of birth, then the aggregates of the dead in each elementary triangle would be known, and it would be a simple matter to obtain the probability of living and hence the rate of mortality at each age. For example, if D„ and D„ were known, Diagram 12 shows that and whence and Pl/l + l T-. -fft/t + l 2+1 = U fl + &X+1 yt/t+l *Z "P^+D. ■2+1 qf +1 =l-pf +1 = P«+ D* pi/i+i r 2+l +D„ (14) •M ij 2 X ageaas Diagkam 12. -Relations Between Aggregates of the Living and of the Dead. or, dropping superscripts, setting Sxix+( = r Zl - r Zi , and solving for E I+ j, to Ei+{ = Ej — Sx/x+i — Dr/z+f. x x+l xu %, z. Y age axis EXPRESSION OF RATE OF MORTALITY IN TERMS OF STATISTICAL AGGREGATES. 105. In order to calculate the rapidly changing rate of mortality for ages under 5 years it is necessary to take into account the force of mortality which is de- fined as follows, £ being a variable measured from r. Mz+£ Therefore, 1 dlx+j d log lx+j _ d log lx+j , lS) lx+td(x + Z) d(x + $ ' di (17) (18) - J Mi+f^= I ^logZ I +j = logZ I+4 -logZ a: = log (Pi and ^^and^^l-e"^^, iPx = e In particular, when £ = 1 , p x = e J and q x = l-e By referring to Diagram 13 it will be observed that an application of the second theorem in section 98 leads to the equation (16) p/ / / up ' % / Y ? / S> *S /. f **■ y / V D%h >$ §■ % V A /<)»,* /& time a: as \Zi—XlZi—X ai/i+£ -jZi-x—ito-x-Z jx/x+e E21-I— «2j— 1-£ ■ p3(. I+f +r 2, , Diagram 13.-Variation of Aggregates of the Living and Type Three Aggregates of the Dead with Age and Time. The number of deaths in the differential strip dD x ix+i is the product of the number exposed, the STATISTICAL AGGREGATES. 337 force of mortality, and the element of time, or dT>xix+z = Ej+jjUi+j^. It follows by eliminating E I+ £ from this and the pre- ceding equation that dDz/x+t = (E3 — Sx/z+s — Dz/x+{)Mz+{^£; hence (/(D^x+t-E,) d£ ■ Mi+f (Di/i+f — ~E X ) = — Sx/z+fMx+f- (19) This is a linear differential equation of the first order and degree, with Dx/ I+£ — E^ for dependent variable and £ for independent variable. Its integrating factor is fnx+^Z and the solution may be expressed in the foUowing form : J"i+« d « /"!+{# When the limits of integration are taken as £ = and £ = £, the constant is determined as C= — Ej., and solving for the number of deaths in the interval — « ( X< (20) The latter integral may be simplified as follows: where X -X oxjx+zae I Ox[x+, (dv, v =l and i>{ = f JW^f are the values of v corresponding to £ = and £ = £. It is evident that the base range V{-v = e J".W« for the variable i> corresponds to the base range £ — = £ for the variable £; hence, applying the theorem of the mean, where Sx/i+f is the mean value of Sx/x+t m the interval (x, # + £), it appears that f^x+i d i - r Sx/x+te ° ' ih+id% = 8 x i x+ t{e f rff from which follows directly D : xjx+i ■- (K "xlx+l >0 -J>*+^x (21) Assuming a uniform increase in the population from time 2j to time z 2 , or a mean value of 5 x / I+ {, that is, 5i/i+t = iSi/i+f, and taking £ = 1, it follows directly from equations (16) and (21) that D x/x+1 Ei — i 8 x ix+i £2/2+1 X/X+l g(/( + l _ 1 /px/x+1 _ px/x+l\ " (22) This important equation can be modified so as to take the usual form for the rate of mortality, q x , expressed in terms of the central death rate, m x . Referring to Diagram 14, it follows from equation (22) that tit+i D. 2/2+1 X/X+l (pI+T-^+O+CeT- .2/2+1 pi/x+l\ ^2+1 / D X/X+l pS 1 + d ° age ax is time aacis Diagram 14.— Eelation Between Rate of Mortality and Aggregates of the Living and of the Dead. 150822°— 21 22 338 UNITED STATES LIFE TABLES. since, by assumption, the population P" varies uniformly from 2 to 2+1. If now with respect to the type three parallelogram adef the additional assumption is made that the number of deaths in the age interval (x, x+1) in the lower triangle, D a , is equal to the number of deaths in the upper triangle, Dj, or, in other words, that the deaths in each age interval of any calendar year are equally divided between the two generations to which they belong, then D a = D 5 =4rD 2/2 + 1 X/l + l' (23) and it follows directly that qtlt+i = D 2/2 + 1 T/I+1 pl/l+1 1-1^2/2+1 r. , , -t- $u D 2/Z + l l/l + l/ ,1/1+1 2+i I/I+l m T i+iDS:i/ -,,/x+i i+$ mx •2 + J (24) where m x , the central death rate, is defined as the ratio of the deaths during the year to the population in the middle of the year. This is the usual formula employed to calculate the rate of mortality from the statistical aggregates, and it is now clear what assump- tions are implied. It is also evident that the formula can not be applied during the early years of life, because D„ and Dj are not even approximately equal under age 5. CALCULATION OF HTJMBEB. OF BIRTHS. 106. In order to employ equations (18) and (22) to calculate the rate of mortality during the first five years of life it is necessary to know the number of births, E . Unfortunately, birth registration statistics for most of the areas for which life tables were to be constructed were not sufficiently reliable for this purpose, and it was necessary to determine the number of births from the population and mortality statistics. The method employed is explained by consider- ing the actual process for males in the state of New York. Table 106 gives the reported deaths in the years 1909, 1910, and 1911 for certain age intervals under 5 years. Table 106 , NUMBER OF REPORTED DEATHS AMONG MALES IN THE STATE OF NEW YORK USED IN COMPUTING NUMBER OF BIRTHS. Calendar year in which death occurs. Age interval in which death occurs. O-l 1-2 2-3 3^t 4-6 1909 1910 1911 1912 1913 14,569 15,234 14,040 13,746 3,401 2,993 2,929 2,973 1,320 1,263 1,305 725 803 615 vZl/«S When these deaths of type D,^ are represented graphically and the numbers inserted in the corre- sponding parallelograms, the results are as shown in Diagram 15. Ages in years 2 3 age axis y time axis Diagram 15.— Graphic Representation of Number of Deaths Given in Table 106. PERCENTAGE FACTORS FOR BIRTHS. 339 From the diagram it appears that 14,569 males died under 1 year in 1909, that 2,929 died in 1912 aged 1 year last birthday, 615 died in 1913 aged 4 last birthday, and so on. These aggregates are of type Djjyj' described in section 103, and it will be observed that there are two generations corresponding to the deaths in each calendar year. The numbers at the left margin show the calendar year of birth and also the calendar year belonging to each strip beginning at the left-hand edge and running diagonally up and to the right. The next problem is to determine for each D^ the number of deaths belonging to the later genera- tion and to the earlier generation, respectively. For example, how many of the 14,569 decedents in 1909 under 1 year were born in 1909, the later year, and how many in 1908, the earlier year? PERCENTAGE OF DECEDENTS BORN IN EARLIER AND LATER CALENDAR YEARS DERIVED FROM GERMAN MORTALITY STATISTICS. 107. This question was first answered by investigat- ing the mortality statistics of the German Empire, where, for many states, the deaths are reported for the calendar year by single years of age and by calendar year of birth. On pages 10* to 13* of Statistik des Deutschen Reichs, Band 200, there are several tables, based on the actual enumeration of a large number of deaths, showing in graduated form the per- centage of deaths belonging to each of the two years of birth. Sections of these tables are reproduced here. Table 107 GRADUATED PERCENTAGES OF DEATHS IN CALENDAR TEAR ACCORDING TO LATER AND EARLIER CALENDAR YEARS OF BIRTH FOR FIRST TEN YEARLY AGE INTER- VALS, BASED ON DEATHS IN PRUSSIA IN YEARS 1901-1905. Age interval in which death occurs. Difference between calendar year of death and year of birth. Percentage of decedents born in later calendar year. Difference between calendar year of death and year of birth. Percentage of decedents born in earlier calendar year. Hales. Females. Males. Females. 0-] 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 - 1 2 3 4 5 6 7 8 9 Per cent. 71.34 60.71 53.98 52.47 52.32 51.81 51.52 51.29 51.10 50.80 Per cent. 70.38 61.21 54.22 53.15 52.34 51.56 50.94 50.43 50.22 50.23 1 2 3 4 5 6 7 8 9 10 Per cent. 28.66 39.29 46.02 47.53 47.68 48.19 48.48 48.71 48.90 49.20 Per cent. 29.62 38.79 45.78 46.85 47.66 48.44 49.06 49.57 49.78 49.77 Referring to Diagram 15, it may be said that if D z/s+l i/i+i ' or typ e three parallelogram, is divided into its lower and upper elementary triangles the above Table 107 gives the values of ratios of the deaths in the lower and upper triangles, respectively, to the deaths in the parallelogram. Accordingly, when the number of deaths in the parallelogram is known, the numbers in the elementary triangles can be obtained by applying the above ratios or percentages. A similar investigation of the returns of 20 states in 1910 * and of 14 states in 1911 2 gives the following percentages of deaths in the calendar year falling in the later year of birth: Table 108 Age interval in which death occurs. Difference between calendar year of death and year of birth. PERCENTAGE OF DECEDENTS WHO WERE BORN IN LATER CALENDAR YEAR. Deaths in 1910. Deaths in 1911. Males. Females. Males. Females. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-S 8-9 9-10 1 2 3 4 5 6 7 8 9 Per cent. 72.13 60.81 54.62 51.74 53.31 51.44 51.16 51.41 50. 55 49.50 Per cent. 71.01 60.59 54.53 53.49 52.91 50.05 50.27 48.54 49.24 51. 57 Per cent. 72.88 63.34 56.20 54.46 53.21 54.90 52.02 53.59 51.10 51.39 Per cent. 71.73 63.40 55. 35 54. 40 53.92 52.32 51.91 52.03 51.33 55.13 These values have not been graduated and are accordingly not so smooth in their progression as those shown in Table 107. However, the tendency and general range is about the same. METHOD EMPLOYED TO VERIFY THESE PERCENTAGES. 108. In order to test these ratios by returns made in this country the following method was employed. Let d u d 2 , d 3 , . . . d 2l represent the deaths occurring in the corresponding areas in Diagram 16. Diagram 16.— DrvisioN of Elementary Parallelogram Into Months of Age. 1 Statistik des Deutschen Reichs, Band 246, pp. 67-69. 2 Ibid, Band 256, pp. 65-67. S40 UNITED STATES LIFE TABLES. Evidently if the deaths are assumed to be evenly " ■ -23 distributed in these elementary strips, ^id l occur among the 1910 generation and si4 among the 1909 generation. The distribution of d 2 would be 2id 2 for 1910 and 2^4 for 1909, and similarly for the other elementary strips. This leads to the following formula for the number of deaths in the lower triangle adf: I 71=12 24 H 23d 1 + 2ld 2 +l9d 3 + +d 12 24 ^S (25-271)4 = """' ' — 2 ' "7' ' -^ (25) When the strips are taken as weeks the formula becomes 71-52 ^2(105-271)4 104 n-l 103d 1 + 101d 2 +----+d 6 , , > : 104 * (26) and when the strips are taken as days it becomes 730 £i {731 2n)dn 730 (27) The formula can easily be derived in a similar manner for any combination of days, weeks, months, or other intervals. It is evident that the narrower the elementary strip the better will be the approximation to the true value. The percentage itself is, of course, obtained by dividing formulas (25), (26), and (27) by the total number of deaths in the parallelogram. For monthly strips the formula for the percentage born in the later calendar year is Ti-12 S(25-2ti)4 1 n= 1 7»=1 1 23^ + 214+ +4 "24 4 + d 2 + + 4 (28) For every year since 1900, with the exception of 1902, 1903, and 1904, mortality statistics by sex for each month of age during the first year of life are available for the original registration states; 1 for the calendar year 1910 this information is given by months of age through the second year of life, although not for males and females separately, for the registration area 1 For the years 1900, 1901, and 1905 this information is given on pp. 630 to 660 of Mortality Statistics, 1908 ; for the years 1906, 1907, 1908, and 1909, on pp. 780 to 792 of Mortality Statistics, 1909 ; for the year 1910, on pp. 598-599 of Mortality Statistics, 1910. After 1910 these statistics were obtained from manuscript. of 1910. 2 Numerous tests were made by the above method with these statistics and the percentages found to be in substantial agreement for the first and second years with those derived from the German statistics. The percentage factors for decedents born in the later calendar year among native white, both parents native, derived from equation (28) applied to total deaths by months under 1 year for the calendar years 1900 to 1901 and 1905 to 1910, are for males 72.12 and for females 70.65. The factor for age inter- val 1-2 derived from both sexes in the registration area in 1910 is 59.68. The factor for Ohio is 58.84 and for Pennsylvania 59.09. No statistics are given, however, which could be employed to test the percent- ages for the third, fourth, and fifth years of life. PERCENTAGES ADOPTED AND CALCULATION OF NUMBER OF BIRTHS FROM POPULATION AND DEATH STATISTICS. 109. As a result of the investigations just described the following percentages were chosen as representing mortality distribution in this country during the first five years of life. It will be observed that a small variation one way or the other in the choice of these figures would make very little difference in the re- sults obtained by their use in deriving the number of births in the various areas for which life tables are constructed. Table 109 PERCENTAGES OF DEATHS IN CALENDAR YEAR ACCORDING TO LATER AND EARLIER YEARS OF BIRTH FOR FIRST FIVE YEARLY AGE INTERVALS, EM- PLOYED IN COMPUTING BIRTHS FOR UNITED STATES LIFE TABLES. Age interval in which death occurs. Difference between calendar year of death and year of birth. Percentage of decedents born in later calendar year. Difference between calendar year of death and year of birth. Percentage of decedents born in earlier calendar year. Males. Females. Males. Females. 0-1 1-2 2-3 3-4 4-5 1 2 3 4 Per cent. 72 59 53 62 52 Per cent. 71 59 53 52 52 1 2 3 4 5 Per cent. 28 41 47 48 48 Per cent. 29 41 47 48 48 When these percentages are applied to the deaths in the parallelograms of Diagram 15 the result is to apportion them to their corresponding elementary triangles. For example, 28 per cent of 14,569 is 4,079 to the nearest integer, and 72 per cent of 14,569 is 10,490. 2 Bureau of the Census, Bulletin 109, Mortality Statistics: 1910, pp. 154, 155. CALCULATION OF NUMBER OF BIRTHS. 341 Ages in years 2 3 4. age axis ^ time axis Diagram 17. -Application of Factors in Table 109 to Deaths in Diagram 15; Also Insertion of Corresponding Populations from Tape 139, Page 373 . Diagram 17 shows the new distribution; 4,079 is entered just above and 10,490 just below the hori- zontal line which divides the corresponding parallelo- gram into its two elementary triangles. A study of this diagram shows that it is possible to follow the progress of each generation. For example, of the 14,569 deaths that occurred in 1909 under 1 year, 10,490 were born in 1909; of the 15,234 deaths in 1910 under 1 year, 4,266 were born in 1909. Like- wise, of the 3,401 deaths in 1910 aged 1 last birthday, 2,007 were of persons belonging to the 1909 genera- tion; and of the 2,993 deaths in 1911 between 1 and 2 years of age, 1,227 belonged to the 1909 generation. In short, all the deaths occurring among persons born in 1909 must be in the triangles lying between the two horizontal lines inclosing the year 1909. In order to determine the number of births in a given calendar year, it is necessary to know the number of deaths among those born in that calendar year and the number of survivors at the end of the calendar year. Accordingly, on the lower of the two diagonal lines, between which the calendar year is written, the populations on December 31 of that year are entered. The population between any two years of age, that is, in any age interval, is written on that section of the diagonal line intercepted between the two vertical lines inclosing the age interval. For example, the population on December 31, 1909, taken from tape 139, page 373, between birth and 1 year of age is 96,835, and this number .appears in Diagram 17 on the lower of the two diagonal lines between which 1909 is written and on the section inclosed by the two vertical lines at whose tops appear the ages and 1, respectively. Likewise, the population on Decem- ber 31, 1910, between 1 and 2 years of age, that is, in age interval 1-2, is 87,439, and this number appears in Diagram 17 on the lower of the two diagonal lines between which 1910 is written and between the two vertical lines at whose tops appear the ages 1 and 2, respectively. Since on December 31, 1909, there Were 96,835 in- fants under 1 year of age still alive, while 10,490 of those born in 1909 died during that year, the total number of births during 1909 should be the sum of 96,835 and 10,490, or 107,325. This determines the number of births in 1909 from the population and deaths under L year of age. The number of births in 1909 may also be determined from the population aged 1 to 2 years on December 31, 1910, and the deaths under 2 years of age among males who were born in 1909. Diagram 17 shows the number of births in this case to be 87,439 + 10,490+4,266+2,007 = 104,202. Similarly, from the population between 2 and 3 years of age on December 31, 1911, and the deaths among 342 UNITED STATES LIFE TABLES. males under 3 years of age who were born in 1909, the number of male births in 1909 appears to be 97,260 + 10,490 +4,266 +2,007 + 1,227 +700 = 115,950. Start- ing with the male population in age interval 3-4 on December 31, 1912, and again with the male popula- tion in age interval 4-5 on December 31, 1913, and adding the corresponding deaths occurring in the 1909 generation, the male births in 1909 are found to be 114,389 and 111,666, respectively. POPULATIONS UNDER 2 YEARS NOT EMPLOYED TO CALCULATE NUMBER OF BIRTHS. 110. Since the deaths for 1914 were not available when these calculations were made, the births for 1910 could be derived only from the populations in age intervals 0-1, 1-2, 2-3, and 3-4 years, and these births were, respectively, 109,670, 105,766, 117,869, and 115,948. Likewise, the births for 1911 could be derived only from the populations in age intervals 0-1, 1-2, and 2-3, and these births were, respectively, 110,714, 106,484, and 119,050. Table 110 sets forth the results in systematic form. Table 110 NUMBER OF MALE BIRTHS IN THE STATE OF NEW YORK IN 1909, 1910, AND 1911, DERIVED FROM THE POPULATION AND MORTALITY STATISTICS. Calendar year of birth. Age interval of population from which births were derived. 0-1 1-2 2-3 3-4 4-5 1909 1910 1911 107,325 109,670 110,714 104,202 105,768 106,484 115,950 117,869 119,050 114,389 115,948 111,666 A study of this table shows that the numbers of births derived from the populations aged 2-3, 3-4, and 4-5 years, respectively, are considerably higher than those derived from populations in age intervals 0-1 and 1-2, respectively. A review of the population statistics of the United States and also those of many foreign countries shows that the populations under 2 years of age are generally understated, especially the population between 1 and 2 years of age. In the Supplement to the Seventy-fifth Annual Report of the Registrar-General, Part I, Life Tables, pages 10 to 13, it is shown that in the populations enumerated in England and Wales on March 31, 1901, and on April 2, 1911, those for ages 2-3, 3-4, and 4-5 are sub- stantially in agreement with those derived from births and deaths alone, while those for ages 0—1 and 1-2 fall far short of those derived from births and deaths alone, the conclusion being that many infants under 2 years of age are not enumerated in the census. It is not intended to discuss here the reasons for these understatements of infant populations. Accordingly it was decided to use only the number of births derived from populations aged 2-3, 3-4, and 4-5 years in determining the number of births for the period 1909-1911. In order to give equal weight in this determination to the populations at these three ages, the sum of the births in 1909 derived from pop- ulations aged 4-5, in 1910 derived from populations aged 3-4, and in 1911 derived from populations aged 2-3 was used as the number of births during the three-year period. Referring to Table 110, this sum is seen to be 111,666 + 115,948 + 119,050 = 346,664. For each of the three calendar years 1900, 1901, and 1902 the average number of births computed from the populations aged 2-3, 3-4, and 4-5 was taken as the number of births for the year. Then the number of births for the three calendar years was taken as the sum of these values. In the same way, for each of the calendar years in the decennium 1901 to 1910, the computed number of births was taken as the average of the three computed from the populations aged 2-3, 3-4, and 4-5, respectively. Then the sum of these averaged computed number of births for each of the ten calendar years was used in the calculation of rates of mortality for the life tables. The same method was adopted for the two 1890 Massachusetts tables, and it was assumed that pop- ulations and deaths remained the same for the five calendar years beginning June 1, 1889. This as- sumption was made necessary because there were no original statistics upon which to estimate the change in the number of deaths year by year from 1889 to 1894. For males and females, Massachusetts in 1901 and 1910, Boston in 1901 and 1910, New York City in 1910, and Philadelphia in 1910, the birth registration statistics were employed instead of computed number of births based on population and mortality statistics. In all these cases the registered and computed number of births were in close agreement. Table 136, showing the computed number of births and the number of births registered, when reported, and the difference between them, is shown on page 425. CALCULATION OF RATES OF MORTALITY FOR SINGLE YEARS UNDER 5 YEARS OF AGE. 111. In determining the rates of infant mortality by months under 1 year and by single years under 5 years of age, equation (18), slightly modified for pur- poses of computation, was employed. When £ = 1 and i 5 i+i/i+2 i s subtracted from both sides of equation (18), it becomes E Ult, i+r ' 2°x+l/l+2 EHh 1 fZu*s "TV x -i S llx+l- U : 'i/x+1 IjZlfe , cZj/Zj "r/l+1 - 1 " "l+l/r+2 (29) The interval (z u z 2 ) is the same as that of mortality statistics upon which the life table is based. With all superscripts and the second subscripts of 5 and D INFANT MORTALITY. 343 dropped for brevity, and with x = 0, 1, 2, 3, and 4, the equations are as follows : E 1 -i5 1 = E -i5 -D - 5 -4^ i E 2 -i5 2 = E 1 -4S 1 -D 1 - 5 -^ E 3 — £5 3 = E 2 — £5 2 — D 2 — E 4 -$5 4 = E 3 — £5 3 — D 3 - ^2 + 5 3 2 8,+a 4 (30) Beginning with the known value of E , the number of births registered or the computed number of births, the left-hand members of (30) are readily determined, since S , 8 U 8 2 , S 3 , 8 i} and D , D u D 2 , D 3 , D 4 are known. When these are found, equation (22) is employed to compute the rate of mortality. Table 111 exhibits the process of the calculation. Table 111 COMPUTATION OF RATE OF MORTALITY BY SINGLE YEARS OF AGE UNDER 5 FOR MALES IN THE STATE OF NEW YORK, 1909-1911. Age interval itoi+1 years. Estimated population, December 31— Increase in popu- lation Sx Sz+Sz+i Deaths in the three- year period 1909-1911 -D x Ex— %8x qx= Dx Ex — %5x 2 1908 1911 0-1 1-2 2-3 3-4 4-5 95,004 84,205 91,293 88,394 85,046 100,605 89, 103 97,260 93,103 88, 745 5,601 4,898 5,967 4,709 3,699 5,250 5,433 5,338 4,204 43,843 9,917 4,349 2,510 1,723 343,863 294,770 279, 420 269, 733 263,019 . 127501 . 033643 .015564 .009305 .006551 The value of E = 346,664, found in the preceding sec- tion, when reduced by i +5^) equals 467 up to and including the ninth month, since (467 + 466)/2 is set equal to 467. The sum of the deaths for the three-year period 1909-1911 for age intervals of 1 month under 1 year of age were needed in this computation, but the original statistics in most cases were so rough that some adjust- ment was found necessary. This adjustment was made graphically instead of employing a mathematical for- mula, and in such manner that the sum of the deaths under 1 year was left unchanged. The original statis- tics were plotted on a large sheet, the ordinates being the number of deaths for monthly age intervals under 1 year. This work is shown in Graph 136, page 371. Beginning with the age interval 1-2 months, in which the number of deaths was left unchanged, a smooth curve was drawn in such maimer with respect to the remaining ten ordinates as to leave the sum of the deaths under 1 year unchanged. Table 112 gives the original and adjusted number of deaths and indicates the process used in obtaining the monthly rates of mortality. Table 112 COMPUTATION OF RATE OF MORTALITY BY MONTHS OF AGE UNDER 1 YEAR FOR MALES IN THE STATE OF NEW YORK, 1909-1911. Age interval X to z+l months. Increase in popu- lation -(12) °x ,0!) . ,02) S X + 8 z4-, Deaths in the three-year period 1909-1911. ew^m „ X 2 E (12>, s (12> X 2 U X 0-1 467 467 16, 404 16,404 346,430 .047352 1-2 467 467 4,449 4,449 329,559 . 013500 2-3 467 467 3,571 3,715 324,643 . 011443 3-4 467 467 3,045 3,151 320, 461 .009833 4-5 467 467 2,671 2,740 316, 843 .008648 5-6 467 467 2,383 2,424 313, 636 . 007729 6-7 467 467 2,272 2,168 310, 745 .006977 7-8 467 467 2,038 1,978 308, 110 .006420 8-9 467 467 1,939 1,835' 305,655 .006003 9-10 466 466 1,849 1,729 303, 363 .005699 10-11 466 466 1,580 1,650 301, 168 .005479 11-12 466 1,642 1,600 299,052 Eleven equations of the same type as (30) are now employed to determine the monthly rates of mortality, where the symbols E' (12) -(12) and D (12) refer to months instead of to years. As before, E 12) = 346,664, and this reduced by i5 12> =234 gives the number exposed to risk, E 12) - £5 12) = 346,430. Then E? 2> - $8™ = 346,430 - 16,404 - 467 = 329,559. 344- UNITED STATES LIFE TABLES. Similarly, E 2 12 ' - IS™ = 329,559 - 4,449 - 467 = 324,643, and finally, Elf- £0 = 301, 168- 1,650-466 = 299,052. Monthly rates of mortality are then obtained by means of equation (22). It will be seen that this rate is about 47.35 per 1,000 for the first monthly age interval, 0-1, and that it reduces to 5.35 per 1,000 for the last or twelfth monthly age interval, 11-12. It is evident that if the original unadjusted rates of mortality had been used in this computation the rate would have been rough and uneven and the rate for the twelfth month would have been higher than that for the eleventh month. It is on this account that the ob- served deaths were first adjusted by a graphical process. DERIVATION OF THE OSCULATORY FIFTH DIFFERENCE FORMULA.' 113. In determining the rates of mortality for single years of age from 4 years to about 100 years, the popu- lations and deaths in each of the single years of age were first obtained by application of the fifth differ- ence oscillatory interpolation formula to the popula- tions and deaths summed in quinquennial age groups. From these interpolated and graduated populations and deaths for single ages the rates of mortality were computed by equation (24). One of the chief difficulties met with in adjusting rough data by the usual interpolation formulas is that at points where the interpolation curves meet there are sudden breaks in the values of the first differences. Various methods have been employed to effect a smooth junction or welding of these interpolation curves. The osculatory method of interpolation is based on certain fundamental assumptions which necessarily assure a smooth junction. The idea is to join two successive interpolation curves so that for a certain abscissa they shall have a common ordinate, tangent, and radius of curvature. This is accom- plished by making their first and second derivatives equal, respectively, at the point of intersection deter- 1 For a full treatment of the theory of osculatory interpolation the following references are given: Explanation of a New Formula for Interpolation. Thomas Bond Sprague. Journal of the Institute of Actuaries, vol. 22, p. 270. On a New Mechanical Method of Graduation. Johannes Karup. Transactions of the Second International Actuarial Congress, p. 78. On the Construction of Mortality Tables from Census Returns and Records of Deaths. George King. Journal of the Institute of Actu- aries, vol. 42, p. 225. On a New Method of Constructing and of Graduating Mortality and Other Tables. George King. Journal of the Institute of Actu- aries, vol. 43, p. 109. Osculatory Interpolation by Central Differences; with an Appli- cation to Life Table Construction. James Buchanan. Journal of the Institute of Actuaries, vol. 42, p. 369. Alternative Demonstration of the Formula for Osculatory Inter- polation. George J. Lidstone. Journal of the Institute of Actua- ries, vol. 42, p. 394. Derivation of the United States Mortality Table by Osculatory Interpolation. James W. Glover. Quarterly Publication of the American Statistical Association, vol. 12 p. 85. mined by the abscissa and common ordinate. Since the chief part of the life table construction has been based on this method, the derivation of the fifth differ- ence osculatory formula is given here. It is proposed to determine an osculatory interpo- lation curve of the fifth degree of the form y x = (l — c x )u x + c x v x (31) where c x is a rational algebraic function of x, and u x and v r are defined as follows : U x = U_ 2+ ( x+2 ) = u_ 2 + ^t~Aw_ 2 + ns A 2 w 4 _ (, + 2)( a;+ l)x A3 ^ + (x + 2)(x+l) a; (x-l) A4 ^ ) (32) 13 II and V T = V -l+d+i) : = U. . X + l (x+ l)x.„ + (x+l)x(x—l) A 3 w._! + (x+l)x(x—l)(x—2) A 4 «._ x - (33) Since u_ x = ?./_,+ Aw_ 2 and A s u_ 1 = A"u_ 2 + A* +1 u_ 2 , it follows readily that , Qe+l)a:(a-l)(a-2) A . (34) Referring to equations (32) and (33) and to Diagram (18), it appears that u x and v x are rational integral functions of x of the fourth degree, passing through the ends of the first and last five, respectively, of the six ordinates u_ 2 , u_ l} u 0t u 1} u 2 , and u 3 . These two curves, therefore, intersect in the four points (-l,^), (0,u ), (l/Uj), and (2,w 2 ). Since by equation (31) the curve y x passes through any point common to u x and v x , it must also pass through the above four points. Let Vx = u x +ip x , (35) where ty x is a rational integral function of x of the fifth degree. Then at the origin, x = 0, assume that y x and u x , together with their first and second deriva- tives, are equal, respectively, and also at the point x= 1 that y x and v x , together with their first and second derivatives, are equal, respectively. Accordingly, and % = «o. 2/o' = "o', 1/o" = »o" Vx = v u !/i' = ''/, ; = $ ' = $ " =0. Hence \f/ x contains the factor x 3 , while equations (34), (35), and the first one in (37) show that ^ = 0, so that \p x contains the factor x— 1. OSCULATORY INTERPOLATION. 345 Diagram 18.— Illustrating Proof of Formula fob Osculatory Interpolation. From equations (34) and (35) y x -v x =\i> r - (x + l)as(g -!)(«!- 2) AK ., A*u_ = xP x -(x*-2x 3 -x 2 + 2x) and since by (37), y 1 ' — v 1 '=0 and y x " — v 1 " = 0, */ = <12*-12*-2)^ tt "- Li it follows, if A 5 w_ that Hence i/ x = x?{x - 1) (a x + a 1 )- J j— i a + a 1 = —2 and 4^ + 3^= — 1. f x = x<(x-l)(5x-7)^, and the required osculatory interpolation curve of the fifth degree is , x+2 A , (x + 2)(x + l) A 2 W_ + (x + 2)(x+l)x A , , (x + 2)(aj + l)a;(x-l) + -A 3 u_,+ x 3 (x-l)(5x-7) li A 4 w_, 11 A 5 14_ (38) An examination of the steps in the derivation of the osculatory fifth difference formula shows that when the original statistical ordinates are given, u_ 2 , u_ 1} u , u x , u 2 , u s , %i, . . . u t , successive groups of five, beginning with u_ 2 , determine a corresponding succession of curves u x , v x , w x , and so on, which in turn are employed to fix the values of the tangent and the radius of curvature at certain points on the fifth difference osculatory curve y x . Moreover, since v x , for example, is employed with u x to define these values at the point (l,Wj) on the osculatory fifth difference interpolation curve y x for the interval (0,1) and with w x to define these values at the point (1,^) on the osculatory fifth difference interpolation curve y x for the next interval (1,2), it follows that these two y x curves will have a smooth junction at (l,^) because they have a common ordinate, u x , a common tangent, same as v x , and a common radius, same as v x , at this point. In order to adapt the notation to this succession of y x curves, the equation (38) is written in the follow- ing form : y% yn+ x +2 : , z + 2 A (a? + 2)(a: + l) A , 1 ( s + 2)(s + l)s 1? + (z + 2)(a + l)x(g-l) A ^ + x 3 (x-l)(5x-7) A 5 2/ B » (39) where s = n + 2+x and the symbol n denotes any integral number, including 0, and x any fraction less than unity. This is the osculatory formula for writing the values of the function for fractional values of z, which lie between the integral values n + 2 and ?i + 3, in terms of y n and its five leading integral differences. Five years is taken as the unit of time, and the values of T x and l x at ages 4, 9, 14 . years are used as the known values of the function at the integral values of time between which four values of the function are to be interpolated at the fractional values of time .2, .4, .6, and .8, or, in other words, T x and l x for the four single years within each quinquennial group, such as 4-8, 9-13, and so on. LEADING FRACTIONAL DIFFERENCES IN TERMS OF LEADING INTEGRAL DIFFERENCES. 114. To obtain the equations for the function at these four fractional values of z, these values, .2, .4, .6, and .8, are substituted for x in equation (39). These four equations, together with the two equations for the boundary values, x = and x=l, when differenced five times, give five leading fractional differences oi.y n in terms of its leading integral differences, and the results are set forth in Table 113. 346 UNITED STATES LIFE TABLES. Table 113 DERIVATION OF LEADING FRACTIONAL DIFFEBENCES INTEGRAL DIFFERENCES. IN TERMS OF LEADING Vn Ay„ A-tJn A'Vn Atyn ifVn Vn+2 — + 1 +2.0 +1.00 0.000 0.0000 0.0000 yn+a-2 = + 1 +2.2 + 1.32 +0.088 -0. 0176 +0. 0016 3M-2-4 = + 1 +2.4 + 1.68 +0. 224 -0. 0336 +0. 0080 Vn+2.6 = + 1 +2.6 +2.08 +0. 416 -0. 0416 +0. 0144 yn+2-8 = + 1 +2.8 +2.52 +0. 672 -0. 0336 +0.0128 !fa+3 -= + 1 +3.0 +3.00 +1.000 0.0000 0.0000 First differences. SjM+2 — +0.2 +0.32 +0.088 -0.0176 +0. 0016 Syn+2.2 = +0.2 +0.36 +0. 136 -0. 0160 +0.0064 8y71+2-4 = +0.2 +0.40 +0. 192 -0.0080 +0.0064 5y«+2.6 = +0.2 +0.44 +0.266 +0.0080 -0. 0016 5^n+2.8 = +0.2 +0.48 +0.328 +0. 0336 -0. 0128 Second differences. S 2 !to+2 = +0.04 +0. 048 +0. 0016 +0. 0048 S'yn+2-2 = +0.04 +0.056 +0.0080 0.0000 8%n+2.4 = +0.04 +0.064 +0. 0160 -0.0080 5 2 yn+2-6 - +0.04 +0. 072 +0. 0256 -0.0112 Third differences. J 3 yn+2 = +0.008 +0.0064 -0.0048 5 3 !/)l+!-2 = +0.008 +0.0080 -0.0080 S ! yn+2-( = +0.008 +0.0096 -0. 0032 Fourth differences. 8'!fe+! = +0. 0016 -0. 0032 8 4 !/»>+2.2 = +0. 0016 +0. 0048 Fifth difference. 8 5 !/n+2 = +0.0080 In this table y n and each of its first five leading in- tegral differences head columns in which are written the corresponding coefficients in the equations for the fractional differences appearing on the left. For ex- ample, 5 2 y w+2 .4= -04A 2 y„+ .064A 3 i/ n + .0160A 4 ^- .0080A*y n . Table 113 shows that the leading fractional differ- ences of y n+2 can be expressed in terms of the leading unit differences of y n . These equations are so im- portant that they are brought together for reference. Equati ons (4 t O) Ay« Atyi. A s sta AtyTl Afyn SVn+2 = +.2 +.32 +.088 -. 0176 +.0016 IHn+l = + .04 +.048 +.0016 +.0048 S 3 yn+2 = +.008 + .0064 -.0048 i'yn+2 - +.0016 -.0032 5$yn+2 = +.0080 They are frequently employed in connection with life tables to calculate the leading single year differ- ences in terms of the leading quinquennial differences of an age ten years younger. If third difference for- mulas are employed, as in the case of the construction of the recent English Life Tables, 1 the leading single 1 Supplement to the Seventy-fifth Annual Report of the Regis- trar-General of England and Wales, Part I, Life Tables, pp. 50-52. year differences are given in terms of the leading quin- quennial differences of an age five years younger. These formulas require the calculation of the leading differences for every fifth year for the entire range of the table considered. The question arises as to wheth- er the proper correction to the fifth difference, where fifth difference formulas are employed, can not be found so as to make the process of calculation con- tinuous without computing the leading differences for every quinquennial set. The fifth difference cor- rection can be determined in the following manner. DETERMINATION OF THE FIFTH DIFFERENCE CORRECTION. 115. In Table 113 only one fifth fractional difference appears, namely, 5 5 y M+2 = .0080A 5 i/„. Evidently then, equations of the function for values of z between n + 3 and n + 4 are necessary to obtain the formulas for the fifth fractional differences of the function for other values of z between n + 2 and 7i + 3. In other words, the values S 5 i/ n+2 . 2 , 8 5 y„ +2 . 4 , ^y n ^ M 8 s y n+2 . s , and 8 5 y n+3 are required, in addition to the above value of 8 5 y n+2 given in Table 113. Employing equation (39) with z = n+3 + x= (n+l) + x + 2, a table precisely similar to Table 113 can be constructed, except that n is replaced throughout by n+1. The numerical co- efficients in this table would be the same as those in Table 113, the effect being merely to deal with the next unit interval to the right. However, since y n+1 = y n +Ay n , any equation in terms of y n+1 and its five leading integral differences can readily be trans- formed into an equation in terms of y n and its six leading integral differences. For example, since yn + i=y n +&y n , Ay n+1 =Ay n +A 2 y n , A 2 y n+1 =A 2 y n +A 3 y n , A 3 y n+ i=A s y n +A*y n , A^„ +1 =A 4 i/„+A 5 y„, A 5 y n+l =A 5 y n +A s y n , it appears that, when the y n+2 to y n+3 interpolations are expressed in terms of y n and its leading differences, the coefficient of y n will be unchanged, the coefficient of Ay n will be algebraically increased by that of y n , the coefficient of A 2 y n will be algebraically increased by that of Ay n , of A s y n by that of A 2 y n , of A*y n by that of A 3 y n , of A 5 j/„ by that of A*y n , and finally A e y n will have the same coefficient as A 5 y n in Table 113. As an example, by Table 113, 5V + 3 = + .0016AY, +1 - .0032A 5 ^ +1 . When y n +Ay n is substituted for y n+1 , this equation becomes 5^„ +3 = (.0016AX+ .0016A 5 yJ -(.0032A 5 y n +.0032A 6 yJ = + .0016A 4 i/„- .0016A 5 y„- .0032A«j/ B . Hence it appears that any coefficient of APy n in an equation for 8 r y n+3 may be obtained by adding to the coefficient of APy n in the equation for 8 r y nt2 the co- OSCULATORY INTERPOLATION. 347 efficient of Av~ l y n , immediately preceding it. By this process the equations (40) lead to the equations (41). Equations (41) Aj/„ A J J/n A«!/n Ar>+s = +.04 +.088 +.0496 +.0064 +.0048 S a Vn+B = +.008 +.0144 +. 0016 -.0048 8 4 S%+8 = +.0016 -.0016 -.0032 8» 8*2/11+3 = +.04 +.088 +.0496 +.0064 +.0048" Third differences. 8 s !/n+2-4 - +.008 +.0096 -.0032 .0000 fS 3 'M+2.6 = +.008 +.0112 +.0080 +.0016) [tfyn+lts = +.008 +.0128 +.00% +.0032J S 3 Vn+l = +.008 +.0144 +.0016 -.0048 Fourth differences. 8 4 Sfa+2.2 - +.0016 +.0048 .0000 IStyn+l-i = +.0016 +.0112 +.00161 S'!ln+2S = +.0016 +.0016 +.00161 Styn+2.8 = +.0016 -.0080 -.OO80J Styn+a = +.0016 -.0016 -.0032 Fifth differences 8 5 S/n+2 = +.0080 .0000 S 6 !/n+2.2 •= +.0064 +.0016 S 5 yn+?-i = -.0096 .0000 5 5 !/n+2-6 = -.0096 -.0096 8 5 +2-8 = +. 0064 +.0048 S 6 Vn+l = +. 0080 + .0080 Since A 6 y n = A s y n+l — A 5 y n , these fifth fractional differ- ences may all be written in terms of the fifth integral differences of y n and y n+1 . In these transformed equations it is evident that the coefficients of A 5 y n+1 are the same as those of A 6 y n in the original equations and that any coefficient of A 5 y n in a transformed equation may be obtained by subtracting the co- efficient of A e y n algebraically from that of A b y n in the corresponding original equation. Therefore, the frac- tional differences may be expressed as shown in Table 115. Table 115 FIFTH DIFFERENCES OF THE «+2.0 to n+3.0 m OSCULATORY INTERPOLATION FORMULA FROM TERMS OF .0016 A S !M AND .0016 ASj/n+l- A6y n A 6 !/n+l +.0016A5y n + .0016Atyn+i 8 5 !to+a =, +.0080 .0000 +5 i 5 ifa+M - +.0048 +.0016 = +3 +1 8 5 l/n+2-( = -.0096 .0000 = -6 8^11+2.6 - .0000 -.0096 = -6 8 s !/n+2.8 = +.0016 +.0048 - +1 +3 8 5 Jln+3 — .0000 +.0080 = +5 It will be noticed that all the coefficients are mul- tiples of +.0016. As the actual computation is ma- terially shortened by working with + .0016A 5 y w instead of with just A 5 y n , the transformation of these equa- tions, shown at the right in Table 115, was made. FOURTH DIFFERENCE INTERPOLATION CURVES EMPLOYED AT BEGINNING AND END OF FIFTH DIFFERENCE OSCULATORY INTERPOLATION. 116. It appears from equations (32) and (38) or (39) that when A 5 y_ 2 = the osculatory fifth difference interpolation curve y x = u x + \f/ x reduces to y x = u x . Therefore, if it is desired to start the interpolation from y with a fourth difference equation y x = u x for the first two quinquennial age groups, the method in Table 115 will apply if A 5 y_ 10 and A 5 y_ 5 are taken equal to zero. This will make the corrected unit fifth differences Fy<> = « 5 2/i = « 5 y 2 - Fy* = *y« = o, and since y is given and its leading unit differences can be directly calculated in terms of the leading quinquennial differences of y by the equations (42), it follows that the first ten interpolated values u , u u . . . u g are derived by continuous addition. Equations (4%) Ayo Afyo A»j/o Atyo SVo = +.2 -.08 +.048 -.0336 s'y* = +.04 -.032 +.0256 5 3 !/o = +.008 -.0096 S'yo = +.0016 The next pair of quinquennial fifth differences, A 5 y_ 5 = and A 5 y , furnish the next five values of the corrected unit fifth differences, and these in turn lead to the next five interpolated values, u w , u n , u n , w 13 , u U) on the first osculatory fifth difference interpolation curve. It should be carefully noted that by the process of continuous addition any five successive unit fifth differences lead to five values of the function at the next five higher ages. The steps are illustrated in Table 116. 348 Table X16 UNITED STATES LIFE TABLES. JUNCTION Or FOURTH DIFFERENCE INTERPOLATION CURVES WITH FIFTH DIFFERENCE INTERPOLATION CURVES AT BEGINNING AND END OF RANGE OF INTERPOLATION. FOURTH DIFFERENCE INTERPOLATION CURVE Vx =u x FIFTH DIFFERENCE INTERPOLATION CURVE yx=u x +t x FOURTH DIFFERENCE INTERPOLATION CURVE Vx=u x The interpolated values of y x lie within the age intervals indicated in next row. 0-5 5-10 10-15 15-20 20-25 25-30 30-35 Interpolated values in this age interval are de- rived from y and its 1 eading unit dif- ferences, Sy„, S 2 y , & 3 y , &*y , which are calculated by equa- tions (42). Multipliers, a and b, to obtain values of S 5 y x =acA 5 y x _ 10 -\-bc^ 5 y x - 6 , where c=.0016, X =0 = X cA6 y_s =0 CAfyo X c*% cAH/ t X cA.% c*%o X CA% CA6 »16 =0 X CA% =0 C A% -0 1 2 3 4 a 6 5 6 7 8 9 a b 10 11 12 13 14 a b 15 16 17 18 19 a b 20 21 22 23 24 a 6 25 26 27 28 29 a b 5 3 1 -6 -6 1 3 5 3 1 -6 -6 1 3 5 3 1 -6 -6 1 3 5 3 1 -6 -6 1 3 5 3 1 -6 -6 1 3 5 3 1 -6 -6 1 3 An examination of this table shows how the unit fifth differences are obtained and the corresponding range of the interpolated unit ordinates. The table illustrates an interpolation running from y to y 3i . The fourth difference interpolation curve y x = u x is em- ployed in the first two quinquennial groups, followed by three successive fifth difference osculatory curves of the type y x = u x + =116, the limiting age. This left a and n as the constants to be determined in the equation — (M— x)n q x -a . (43) The details of this calculation are described in sec- tion 119. After the rates of mortality had been calculated according to equation (43) they were joined to the main table of rates by the smoothing process described in section 121. RATES OF MORTALITY AT ADVANCED AGES. 349 OLD AGE RATES EMPLOYED TO DETERMINE CONSTANTS. 118. It is shown in section 119 that the constants a and n in equation (43) are based upon ten or more rates of mortality at older ages which have already been determined. From experiments made in determining rates from the five possible quinquen- nial groups it ( was found that the accumulated de- viations of the expected deaths from the actual were smallest when the rates were made to depend upon a combination of all the groups. Hence, where the population and deaths by single years were available the rates from which the above constants were deter- mined were made to depend upon all the groups. In the case of the thirty-two tables mentioned above, where only one group is available, more than ten rates were used in the determination of the constants when this was necessary. The formula used to graduate the population and death statistics by all the different groups is the one for obtaining the graduated value of the central term of a series of fifteen values of a function. It was employed by Mr. George King to obtain graduated quinquennial pivotal values and is derived by him as follows : 1 Let there be a series of fifteen values of u, tho function to be dealt with, from u to w u . To find the graduated value of u 7 , the central term of the series. Let y be the finite integral of the function u, so x-l that y x = 2 M i an d let Ay, A 2 y, etc., be the differences o 4 of y for quinquennial intervals, so that Av« = T~! u. 9 o A2/ 5 = S' 14 ! an d so on. Then 5 u,=y a -y 7 , y 8 =Vo+ 5A2/0 + 5Q A y° ~ T25 A y<" 7 14 7 2/7 = 2/0+ 5^0 + 5qA 2 i/ - j25A 3 j/ ; hence «i= 5A2/0+ TjAtyo- 126^0 = .2Ay 5 -.008A*y . The differences, A, of y are the sums of five values of the function u, and may be represented by the symbol w, so that (44) w x = u x + u x+1 + u x+2 + u x+3 + u Accordingly, m 7 =.2w,-.008AX- (45) When w x = h x + L J+1 + h x+2 + L x+3 + h x+4 = — ATj,, then h x+2 = .2w x - .008AX,_ 5 , (46) 1 Supplement to the Seventy-fifth Annual Report of the Regis- trar-General of England and Wales, Part I, Life Tables, Appendix II, sec. 2, p. 49. and when w x = d x -\- d x+1 + d x + 2 t d x+s -f- d T+i = Al x , then d x+2 = .2w x - .008A 2 w I _ B . (47) The populations and deaths from about age 80 to the end of life were summed in each of the five possi- ble quinquennial groups and equations (46) and (47), respectively, applied to the original data summed in each group. The graduated populations and deaths thus obtained were from all the different groups, only populations and deaths five years apart being from the same groups. After the rates of mortality had been computed they were summed in fives, and the average of each sum was taken as the value for the central age in that sum. Thus these mean rates of mortality are based upon original data grouped in each of the five possible quinquennial groups. DETERMINATION OF CONSTANTS IN WITTSTEIN'S FORMULA. 119. The constants employed to determine the rates of mortality for older ages through age 114 were the arithmetic means, n and log log a, of five sets of values for n and log log a, which were derived from the rates of mortality for ten consecutive ages, as follows: the first set from q x and q x+s , the second set from q x+1 and q x+e , the third set from q x+2 and q x+1 , the fourth set from q x+3 and q x+a , the fifth set from q x+i and q x+a . The method of selecting the ten consecutive rates of mortality upon which are based n and log log a is shown in section 188, page 392, for life table for males in the state of New York* 1910. In order to obtain any one of the sets of values, equation (43) was written in the logarithmic form l°g 1x = — (M — x)"log a and two equations formed by substituting for x the two ages b and 6 + 5. Accordingly, and from which whence, l°gfe =-(M-6)»logo log 2frH =_(M_&_5)»log a; loggi, (M-fr)" log q b+5 (M-6-5)"' 71 = _ log ( - log q b ) - log ( - log <7 6+5 ) log(M-6)-log(M-6-5) (48) After n was determined the value of a was derived from the equations log log a = log (-log q b )-n\og (M-6) log log a = log ( - log &+5 ) - n log (M - b - 5) . (49) 350 UNITED STATES LIFE TABLES. THE OVERLAPPING SERIES OF RATES OF MORTALITY. 120. For the older ages there are now three sets of overlapping rates of mortality, namely, those near the end of the table determined by the oscillatory process, those determined by the group process described in section 118, and those determined by Wittstein's formula. The first two sets are based upon the original population and death data but derived by different methods, and the third is based upon the second set and upon an hypothesis as to the variation of the rates of mortality as the age approaches the limit of life. These three sets of rates of mortality for males in the state of New York, 1910, are shown in tape 205, page 397. The method of selecting a fourth set of rates of mortality from these three which will be fairly representative of all three, and yet be less irregular than any one of them, is set forth in section 205, page 396. For the thirty-two tables mentioned in section 117 there were only two overlapping sets of rates of mor- tality at the older ages, but the derivation of a third set from these two was made in the same way. SPENCER'S 21-TERM FORMULA. < 121. A number of smoothing processes were tried upon this fourth set of rates of mortality, and finally it was decided to use the results obtained by the appli- cation of Spencer's 21-term formula, that is, where u represents the smoothed central value and u the unsmoothed values, Wo = [5] 2 [7]{-tt_ 3 + w_ 1 + 2« +tt 1 -w 3 }/350. (50) This formula is based upon the assumption that the smoothed values shall have a constant third difference. Since the operand requires seven terms, that is, six more than the central term, while adding twice in fives and once in sevens requires fifteen more terms, twenty-one terms in all are required to give one smoothed central term. Hence the table of smoothed values will begin at an age 10 years older than the unsmoothed one. SUMMARY OF METHODS EMPLOYED TO OBTAIN THE RATES OF MORTALITY. 122. To summarize, the rates of mortality upon which any life table was based were obtained in the following manner: 1. Monthly rates of mortality under 1 year, when the statistics were available, and annual rates of mortality by single years of age under 5 were computed from mortality statistics and from the number exposed to risk of death determined from births, deaths, and increase in population according to census returns. The deaths by months under 1 year were adjusted 1 On the Graduation of the Rates of Sickness and Mortality pre- sented by the Experience of the Manchester Unity of Odd- fellows during the period 1893-1897. John Spencer. Journal of the Institute of Actuaries, vol. 38, p. 334. by a graphical process explained in section 136, page 370. 2. When the rates under 5 years of age, worked according to the process described in paragraph 1 of this section, did not form a smooth junc- tion with rates for ages following 5, worked ac- cording to the method described in paragraph 3 , a special process was applied to from six to fourteen rates beginning with age 3 to produce a smooth junction. The rates thus obtained, beginning with age 4, were used for the life table. This process is described in sections 250 to 263, pages 408 to 410. 3. Annual rates of mortality from the last age com- puted according to paragraph 2 up to the old ages were obtained from graduated interpo- lated values of populations and deaths by single ages, obtained by the application of the' fifth difference osculatory formula to popula- tion and death statistics summed in the quin- quennial age groups 4-8, 9-13, or 5-9, 10-14,. and so on. 4. Annual rates of mortality from about age 80 to some age near 100 were obtained by the ap- plication of Spencer's 21-term formula to a set' of rates of mortality selected from the follow- ing sources : (a) Rates described in paragraph 3. (6) Rates, each of which was the arithmetic mean of five consecutive rates of mor- tality, obtained from populations and deaths derived by the application of the formula Ux +7 = .2 2 u x - .008A 2 £j u x 1-5 i~0 to population and death statistics summed in each of the five quinquen- nial groups, respectively, (c) Rates described in paragraph 5. For the thirty-two tables mentioned in section 117, only (a) and (c) were available. 5. Annual rates of mortality from some age near 100 through age 115 were obtained by the ap- plication of Wittstein's formula for old ages to the rates of mortality obtained as described in. paragraph 4 (b) . CALCULATION OF THE DERIVED MORTALITY FUNCTIONS. 123. The rates of mortality were obtained from the statistical data by methods already described. The derived col umn s, l x . d T S X> ^xt *-'x/"'xt lx lOOOZs/T., appearing in each life table were then calculated from these rates of mortality with the further assump- tion of a stationary population supported by l per- sons born alive uniformly throughout each year. LIFE TABLE FUNCTIONS. 351 This population was also assumed to be unaffected by emigration and immigration. Under these conditions the formulas derived in this text, establishing rela- tions between the various aggregates of the living and dead, are considerably simplified. For example, all generations are alike, the populations for each age interval remain constant, and the elementary areas abdf, Diagram 12, page 336, together with their corre- sponding elementary triangles abd, dfa, respectively, are unchanged from generation to generation. In other words, for all values of t V tit+i l. -pl/I+l T and D, t/t+i •d, Equation (14) becomes and L ■■pJx (51) Accordingly, when the radix of the table, Z , was taken as 100,000, the number of survivors at each age was obtained by multiplying the products of the p x up to that age by 100,000. These products were copied to the nearest fourth decimal place, and the multiplica- tions were performed upon a ten-place computing ma- chine. The d x were obtained by differencing the l x . CALCULATION OF THE DERIVED MORTALITY FUNCTIONS UNDER 5 YEARS. 124. It is also evident that D« = D, = fc (D a + D„): ■ W tit+i i/i+i ' -led. where Tc is the percentage of deaths in Dp to the total deaths, d x , in abdf. Hence, by section 104, La; = l x +i + Dp = l x+1 + Kd x , and with the percentages shown in Table 109, page 340, the formulas for ages 1, 2, 3, and 4 become L, = \ + Aid, = (4lZ t + 59^/100, L 2 = Z 3 + A7d 2 = (47Z 2 + 53Z 3 )/100, L 3 = \ + A8d 3 = (48Z 3 + 52ZJ/100, L 4 = \ + A8d 4 = (48Z 4 + 52Z 5 )/100. (52) Beyond age 4 it is assumed that D a = Dp; in other words, Tc = .50. Hence for such values of x h x = l x+1 + .504 = (l x + l x+1 )/2. (53) For the age interval 0-1 the formula for males was L = Z 1 + .28(Z and for females L = Z X + .29(Z except in those cases where there was an infant mortality table, when L for the yearly age interval 0-1 was necessarily taken as the sum of the popula- tions for the twelve monthly age intervals under 1 year. For ages under 1 year, where the values are given by months, the formula employed for the first month is L< 12) = (tr + .250/12 = (C + 30/48, (54) the superscript (u) referring to the monthly values. This result is based on the assumption that when the plane is divided up into monthly instead of annual elementary parallelograms and triangles, as in Dia- gram 12, page 336, Dr = .25D^ A . In other words, the deaths in the first month of life during any month of time are divided between the earlier and later monthly generations in the ratio of 1 to 3. In the publication of the Bureau of the Census, Bulletin 109, Mortality Statistics, 1910, Table 10, pages 154 to 191, there are given for the calendar year 1910 the number of deaths by days for the first week of life and by weeks for the remaining three weeks of the first month of life. By employing the theory developed in section 108, in connection with formulas (25) and (26),it was possible to calculate for various areas the ratio of the number of deaths D" 2) in the upper elementary monthly triangle to the number of deaths in the par- allelogram Do/"^'- For example, the deaths in the original registration states gave the ratio as .2400; Massachusetts, .2378; New York, .2531; and New York City, .2747. This led to the adoption of lc = .25 for the first month of life. The following table ex- hibits the calculation of Tc for the state of New York. Table 117 DETERMINATION OF PERCENTAGE OF DEATHS UNDER 1 MONTH TO BE ADDED TO THOSE SURVIVING TO AGE 1 MONTH TO OBTAIN POPULATION UNDER 1 MONTH. Age interval. Factor. Number of deaths. (2) X (3) (1) (2) (3) (4) In days 0-1 1 2,395 2,395 1-2 3 1,474 4,422 2-3 S 714 3,570 3-4 7 532 3,724 4-5 9 397 3,573 6-6 11 336 3,696 6-7 13 232 3,016 Total 24, 396 33.42 24,396-5-730 In weeks . 1-2 3 1,382 4,146 2-3 5 1,244 6,220 3-4 7 1,094 7,658 Total 9,800 18,024 18,024- -104 173.31 Ratio- 33 - 42 + 173 - 31 2531 9800/12 ■**'■ 352 UNITED STATES LIFE TABLES. As there were no statistics upon which to base the value of this ratio for the remaining months under 1 year of age, Tc was taken as .50, leading to the equation (C+.50^ ) )/12=(r+Z ( I 1! !i)/24. (55) To obtain the population aged x and over, T 2 , the following equation was used: T, = SLx, (56) where o- represents the last age in the life table. The expectation of life was derived according to the equation l* = TA, (57) while the measure of vitality or population per death was obtained from the equations \ x =12L I \d x and \ x = ~LJd x , (58) for values under 1 year the ratio, L x /d x , being multiplied by 12. The values of both e x and X^ were determined to the nearest second decimal place from the integral values of T x a,ndl x ,h x and d X! respectively, up to age 80. From age 80 to the end of life they were determined from the values of T^ and l x , ~L X and d x , respectively, taken to the nearest fourth decimal place. The average death rate per thousand of the popu- lation aged x and over was computed to the nearest second decimal place by the equation 1000/& C =1000Z. C /T I SPECIAL FORMULAS AND PROCESSES. (59) 125. The theory of life table construction devel- oped in the text up to this point embodies chiefly methods and processes which were quite generally employed on all the life tables, and, in particular, in the calculation of the life table for males in the state of New York, 1910. The details of the arithmetic processes in computing this table are fully explained on pages 370 to 408. For example, the method* of obtaining the rates of mortality for single years of age under 5, the osculatory fifth difference interpolation formula, and Wittstein's old-age formula are employed in calculations for every life table. In some cases, however, special methods had to be devised to secure satisfactory results, and these will now be described. JUNCTION OF RATES OF MORTALITY UNDER AGE 5 WITH RATES BY OSCULATORY INTERPOLATION. 126. The rates of mortality, ages to 4 years, ob- tained by the method described in section 111 from populations calculated from births and deaths, and those for ages 4 and over, obtained from populations and deaths graduated by the fifth difference osculatory formula, do not always form a smooth junction. In these cases the rates of mortality were regraduated near the age at which the two sets of tables were joined. The smoothing process selected for this pur- pose is based on a modification of Lagrange's theorem, namely, m T = + (x — b) (x — c] (a- (x- ■b) (a-c) a)(x — b) , (x — c) (x~a) (b — c) (b — a) (c — a)(c — b) m c +(x — a) (x —b)(x — c)K, (60) where m x is the central death rate and a, b, and c are the abscissas of rates of mortality already determined. In order to shorten the work, equation (60) was transformed by moving the origin a distance a to the right so that the new age variable is y = x — a and the abscissas of the three known rates of mortality are 0, e = b — a,f=c — a, respectively. When the products of the constants in each of the first three terms in the right-hand member of equation (60) are denoted by U„, U 6 , and U c , respectively, this equation becomes %= (y-e)(y-f)V a +(y-f)yUb+y(y-e)V e + Ky(y-e)(y-f). Whence, expanding, m x =(U a + U b +U c )y*-[(e+f)V a +fU b +eV c ]y + efU a +K[y«-(e+f)t + efyl (61) or, m x = Vy 2 - Vy + efUa + Kly 3 - ( e +f)f + efy], (62) where the constants for which U and V are substituted are obvious. In order to determine the value of K the condition was made that the sum of the expected deaths for the ages under consideration must equal the sum of the actual deaths at these ages ; that is, ZL x m x - ■ M, (63) where M is the sum of the actual deaths at the ages under consideration. Substituting in equation (63) the value of m, in equation (62) and solving for K, the following equation is obtained: K = (64) M - USy 2 L, + VSyL x - efU^L, Table 118 furnishes a convenient outline to calculate the values of U and V. Table 118 FIRST OUTLINE USED IN CALCULATION OF RATE3 OF MORTALITY JOINING THOSE UNDER AGE 5 WITH THOSE BY OSCULATORY INTERPOLATION. X Uz Vx Qx 2?x 2-Jz 2q x _. mx X U x Vx Items whose sum=v 1 2 3 4 5 6 7 S 9 a b c a— 6 b-c c—a u— c b—a c-b (.e+f)Va fVi | To V V SPECIAL PROCESSES. 353 In applying the above formulas to join the two sets of tables of rates of mortality, a was always taken as the age immediately preceding the n ages whose rates of mortality were to be determined, while b and c immediately follow these n ages. To determine the products of the powers of y by L x , a second table was formed. Table 119 SECOND OUTLINE USED IN CALCULATION OP RATES OF MORTALITY JOINING THOSE UNDER AGE 5 "WITH TnOSE BY OSCULATORY INTERPOLATION. X y=x-a yl v z hz i/Li V ! hx ?/ 3 L x 1 o :i t 5 6 7 8 a 0+1 a+2 a+3 etc. a+n—1 a+n b c 1 2 3 etc. n-1 n b—a=e c—a=f 1 I 9 etc. (n-1)* n 1 r- 1 s 27 etc. (71-1)3 n' e* P Tota Is SLj 2yLi 2y 2 Lz 2y3L x After the determination of K the first and second differences of m a and the constant third difference were computed, and the values of m x from a + 1 to c were obtained by continuous addition, the check on the work being, of course, that the values for m 6 and m c obtained by this process were the same as those in the first table. To obtain the equations for the three leading differences of m a , equation (62) was differenced three times. Since the values of y are the natural numbers and when x = a, y = 0, the first difference of all three powers of y is one, the second difference of y 2 is two, and the second and third dif- ferences of y 3 are each six when x = a. Hence 8m a = U-V + K[l-(e +f)+ef] 5 2 m = 2U + K[6-2(g+/)] 8 s m„ = 6K. (65) When several tables are to be computed, having the same ages for a, i, and c, the first four columns in the second table and the coefficients of K in equation (65) need be computed only once. An example of an application of this method to the life table for white females in cities of the original registration states, 1901, appears in sections 250 to 263, pages 408 and 410, and in the corresponding tapes, page 409. DETERMINATION OF MEAN POPULATION. 127. In order to compare the rates of mortality in this country with those in others where life tables had been constructed from statistics covering the ten-year period 1901-1910, similar tables were pre- 150822°— 20 23 pared for white males and white females in the original registration states. These two life tables are based on the census enumerations of June 1, 1900, and April 15, 1910, and the reported deaths for the ten calendar years 1901 to 1910, shown in Tables 173 and 174 on pages 464 and 465. The details of this work are ex- plained in sections 264 to 274 on pages 410, 413, and 414 and in the corresponding tapes on pages 411 and 412. The formula * used in determining the mean popula- tion for the ten-year period 1901-1910 is a modifica- tion of those employed for the English Life Tables. 3 The assumption is made that the population as a whole increases by geometrical progression, so that, if e be the time between the taking of two censuses in which the total populations were P and P e , respec- tively, then p =r*lu-p (66) where u is the unit of time on which the constant r is based. Also after any time interval t the entire population is P ( = ^ /M P (67) When the total population has been determined in this way it is assumed that any subdivision of the population at the time t is ttj ■= mir + nir e (68) where tt and w e are the populations of these same subdivisions at the first and second censuses, respec- tively. If m+n—1, it follows that when x = 7r e , then 7Tj = Tr ; also, since the total population is equal to the sum of the subdivisions, that Stt( = m2v + (l-m)S7r e = P t = mP + (l-m)P e . (69) Accordingly, m= p^p', and l-m = p ' p ° - (70) Substituting in equations (70) the values of P e and Pj from equations (66) and (67), respectively, they become "m=—7u, — — and — m = -^ — -,• (71) r elu_ 1 ' ftlU _ i If A = tt ( , — tt , then 7T,. = 7r + A. Substituting this value for ir e in equation (68), this equation becomes T t = witt,, + (1 - m) (tt + A) = tt + (1 - m) A, (72) and substituting the expression for 1 — m in equation (71) for 1— m in equation (72), this equation becomes *"« = t + A. (73) 1 Note upon Estimates of Population. Alfred C. Waters. Seventieth Annual Report of the Registrar-General, 1907, p. cxxxn. 2 Supplement to the Seventy-fifth Annual Report of the Registrar- General of England and Wales, Part I, Life Tables, p. 47. 354 UNITED STATES LIFE TABLES. Then the mean population over a period I, which begins an interval It after the taking of the first census, is the integral of ir t dt, between the limits of time t = ~h and t = h + l, divided by the length of the period. In other words, if t?; be the mean population over the period Z in any subdivision, then 1 C h+l j 1 C h+l f (r" M -l) "1 ^u "*-u L To+ <* s =i) A _r =i[>+( = T + Xr u r hlu(jJ.lu_ 1) 7 Xr h] frf/M _ J (74) where Xr denotes the Naperian logarithm of r. The total mean population for the period I is 1 fh+l p fh+l H,F/'»(f i "-l) :_ r' xr (75) The results obtained from equation (74) for the different subdivisions, ¥j, are checked when their sum equals the value for F t obtained from equation (75). In this case the first census was taken on June 1, 1900, and the second on April 15, 1910, so that the time between the taking of the two censuses was 6=118.5 months. The period of time for which the mean population was desired was from December 31, 1900, to December 31, 1910, or Z= 10 years = 120 months, and Ji = 7 months. The unit of time on which the ratio r was based is I, or u = Z=120 months. Hence, equation (74) may be written ""j = ""o + r 7/120( r _ I) 1 1 = tt + PA, (76) and equation (75) becomes Xr 7,7/120(7, _ iy = «P„. (77) This formula was also employed to determine the mean population for the following four tables for the ten-year period 1901-1910: Negro males and Negro females in the original registration states and in the District of Columbia. The original statistics from which these life tables were constructed appear in Tables 175 to 178, pages 466 to 469. RATES OF MORTALITY CALCULATED FOR LIFE TABLES TESTED FOR SMOOTHNESS AND CONFORMITY TO ORIGINAL STA- TISTICS. 128. It is the practice of actuaries and statisticians to test the goodness of graduation by an examination of the third differences. This test requires that the differences be small and that they oscillate frequently and regularly from positive to negative and negative to positive. This means that the absolute sum of the differences and accumulated or net differences must be small. Table 120 shows such a test of the rates of mortality upon which were based the life tables for white males and for white females in the original registration states in 1910. The totals for this table include the sum of the positive differences, the sum of the negative differences, and the accumulated or algebraic sum of the positive and negative dif- ferences, denoted as net, and the sum of the positive and negative differences irrespective of signs, denoted as absolute. Totals are given for all ages and also for those with ages 0-1 and 1-2 excluded. It will be ob- served that after age 2 the differences are small and frequently change signs. This is verified by the totals for white males, net, —106, and absolute, 1,878; for white females, net, +34, and absolute, 2,060. The third differences are also shown for the infant mor- tality section of the tables. It is not to be expected that the differences will be small for the first two or three years of life because it is well known that the rate of mortality at these ages does not even approximate a third degree curve. RATES TESTED. 355 Table 120.— THIRD DIFFERENCES OF RATES OF MORTALITY, TAKEN TO FIVE DECIMALS, AMONG WHITES IN THE ORIGINAL REGISTRATION STATES, 1910. 10 5 5 3 fe AGE. Males. | Females. Males. Females. Males. Females. Males. Females. AGE. AGE. AGE. MONTHLY AGE INTERVALS. YEARLY AGE LNTERVALS. YEARLY AGE INTEEVALS. YEARLY AGE INTEEVALS. Months. + __ + _ Years. + _ + l - Years. + _ + _ Years. + 1 - 4- 3,235 2,595 20 8 55 3 1 90 49 1 40 10 21 15 8 56 22 19 91 30 30 2 2 4 22 3 2 57 3 6 92 39 7 3 21 1 23 3 1 58 2 13 93 66 15 4 8 11 24 7 1 59 10 11 94 55 47 5 1 2 25 4 3 60 4 1 95 55 55 6 3 26 5 1 61 11 23 96 16 37 7 3 4 27 1 62 1 3 97 3 20 8 11 2 28 5 2 63 5 14 98 30 12 9 29 1 1 64 11 12 99 24 7 10 11 30 4 1 65 5 £ 100 43 10 31 32 2 2 66 67 3 6 11 8 101 102 56 63 8 2 1 Years. 1 2 YEARLY AG I : INTERVALS. 33 34 35 36 37 3 4 6 1 ( 2 3 4 ) 1 68 69 70 71 72 20 14 C 25 1 2 37 19 20 4 103 90 6,889 809 139 5,161 850 . 78 TOTALS. 3 90 97 38 1 5 73 61 13 Positive 886 1,047 4 19 5 39 3 1 74 38 31 Negative 8,690 7,024 5 7 2 ( ) 3 2 40 41 1 2 ( 3 75 76 25 112 27 19 Net Absolute -7,804 9,576 -5,977 8,071 6 8 9 10 ] 2 1 2 3 ) 2 42 43 44 45 1 4 5 1 2 1 3 4 77 78 79 80 41 91 124 36 7S 142 216 41 TOTALS, EXCLUDING AGES 0-1 AND 1-2. 11 I 5 3 46 S 5 81 165 282 Positive 886 1,047 12 6 47 4 3 82 2S 57 Negative 992 1,013 13 2| 5 48 13 9 83 12 72 Net -106 + 34 14 15 5 2 49 50 13 1 7 4 84 85 1 5 2 21 Absolute • 1, 878 2,060 16 2 2 51 11 7 86 5 16 17 2 1 52 9 6 87 9 12 18 15 6 53 10 9 88 23 43 19 8 1 54 17 16 89 11 58 In Table 124, page 359, in column headed group 4-8, a similar test is given for the rates of mortality between ages 15 and 85 upon which the life table for males in the state of New York, 1910, was based. These rates of mortality were derived from population and death statistics graduated by the application of the fifth difference osculatory formula to the original statistics summed in the 4-8 group. A very satisfactory test of the success of the graduated rates of mortality is to apply them to the original population statistics to determine the expected number of deaths and compare these with the actual number of deaths as recorded in the mortality statistics. If the deviations of the expected deaths from the actual deaths are small, both as to net and absolute totals, where the population is large, the life table may be regarded as faithfully representing mortality conditions in the original population. In Table 121 this test is applied to measure the deviations of expected from actual deaths in the large populations for white males and white females in the original regis- tration states in 1910. Each of these populations num- bers over eleven and one-half millions, and during the three-year period 1909-1911 there were 567,661 deaths among males and 496,378 deaths among females. The expected number of deaths among males by the life table rates of mortality is 556,913, or about 98 per cent of the actual number; the expected number of deaths among females is 487,895, also about 98 per cent of the actual number of deaths. If the first two age intervals, namely, 0-1 and 1-2, are excluded, the expected number of deaths in both cases is less than two-tenths of 1 per cent of the actual. To put it in another way, the total number of deaths of white males over age 2 in the three-year period 1909- 1911 was 434,594, while the expected number which would be predicted by making use of the table is 434,216, a difference of 378, or less than one-tenth of 1 per cent, in about 400,000 deaths. Among females in the same period the actual number of deaths was 356 UNITED STATES LIFE TABLES. 389,206, the expected number by the table, 388,630, a difference of only 576, or less than two-tenths of 1 per cent. The expected deaths in Table 121 are shown for five-year groups after the first four age intervals. They were calculated by applying the reciprocal of the measure of vitality, l/\ x , to three times the estimated population on July 1, 1910. This test is also applied in Table 125, page 360, to the graduations by the different quinquennial age groups for males in the state of New York in 1910, and with very satisfactory results. Table 121.— DEVIATIONS OF EXPECTED DEATHS FROM ACTUAL DEATHS AMONG WHITES IN THE ORIGINAL REGISTRATION STATES, 1910. AGE INTERVAL. MALES. FEMALES. Estimated population July 1, 1910. Deaths during 1909-1911. Deviations of expected from actual deaths. Estimated population July 1, 1910. Deaths during 1909-1911. Deviations of expected from actual deaths. Expected. Actual. Expected. Actual. 0-1 254,307 103,237 111,131 + 7,894 247, 817 81, 878 87,613 + 5, 735 1-2 226, 129 19,460 21, 936 2,476 220,930 17, 387 19,559 2,172 2-3 247, 391 9,507 9,470 37 241, 481 8,326 8,303 23 3-4 241, 985 5,789 5,726 63 237,435 5,326 5,261 65 4-8 1, 114, 968 14,010 13,907 103 1,097,420 12, 813 12,826 13 9-13 1,045,357 7,503 7,504 1 1,031,712 6,499 6,499 14-18 1,072,282 10,431 10,400 31 1,089,794 9,735 9,700 35 19-23 1,137,579 17,373 17, 373 1,157,307 15, 396 15,394 2 24-28 1,138,468 19, 547 19,528 19 1,102,933 17, 814 17, 816 2 29-33 986, 363 20,624 20,670 46 933, 762 17,519 17,535 16 34-38 939,670 25,049 25,047 2 897, 869 19, 739 19, 732 7 39-43 822,563 26,300 26, 351 51 772, 143 19, 338 19,371 33 44-48 677,916 27,020 27, 012 8 643, 864 20,218 20,189 29 49-53 602,619 29,779 29,904 125 564, 219 22,686 22,815 129 54-58 441,362 30,883 30, 929 46 424,910 24,827 24,877 50 59-63 343,000 34,371 34, 486 115 346,327 29,208 29, 372 164 64-68 264, 114 37,808 37, 935 127 275, 303 34,317 34, 443 126 69-73 182,916 37, 736 37, 845 109 194,365 36, 445 36,575 130 74-78 111,158 34, 467 34,580 113 125,259 34,568 34, 712 144 79-83 54,051 25,041 25,060 19 63,453 27,254 27,272 18 84-88 21,856 14,412 14, 451 39 27,991 17, 196 17, 213 17 89-93 5,827 5,218 5,.149 69 8,140 7,135 7,100 35 94-98 954 1,136 1,066 70 1,565 1,913 1,888 25 99-103 112 183 172 11 192 306 261 45 104 and over 16 29 29 ( 30 52 52 1 TOTALS. Positive 11,932,963 556,913 567, 661 413 11,706,221 487, 895 496, 378 266 Negative Net Absolute 11,161 8,749 -10,748 11,574 —8,483 9,015 TOTALS, EXCLUDI tJQ THOSE FOB AGES 0-1 AND 1-2. Positive 11,452,527 434,216 434,594 413 11.237,474 388,630 389,206 i 266 Negative Net 791 842 —378 576 Absolute 1,204 VARIATION OF HATES OF MORTALITY WITH QUINQUENNIAL AGE GROUPS OF STATISTICS TO WHICH THE OSCULATORY INTER- POLATION FORMULA IS APPLIED. 129. An examination of the original statistics shows that there is a bunching of figures for populations and deaths at ages which are multiples of 2 and 5, espe- cially pronounced at ages ending in the digits 0, 5, and 8. On this account the selection of the quinquen- nial age groups becomes important, because this selec- tion determines the location within these groups of the ages ending in 0, 5, and 8. Designating each of the five possible quinquennial age groups by the ages in its first group, these are group 0-4, group 1-5, group 2-6, group 3-7, and group 4-8, respectively. When statistics are summed according to the group 3-7, the central age of each sum ends in or 5. Group 3-7 is the central one of the five possible groups in the tables which follow. These tables begin with group 1-5 AGE GROUPS. 357 and end with group 0-4 (or 5-9, as it is designated when it follows group 4-8). The male population in the state of New York, estimated as of July 1, 1910, and the deaths for the three-year period 1909-1911 from Table 1 59, page 450, were each added in each of the five quinquennial age groups and graduated b\ appli- cation of the fifth difference oscillatory interpolation formula to eaeh of these groups. The rates of mor- tality, ages 15 to 85, from each of these five sets of graduated population and mortality statistics and also those from the average of these five sets of graduated populations and mortality statistics, or average group, are shown in Table 122. The rates of mortality in this average group are in fact the rates which would be obtained by applying King's 29-term oscillatory inter- polation formula ' to the original statistics. The rates of mortality in the second column of Table 122 are from the ungraduated population and mortality statistics and are designated the observed rates, q x . 1 Notes on Summation Formulas of Graduation with Certain New Formulas for Consideration. George King. Journal of the Institute of Actuaries, vol. 41, p. 543. Table 122.— VARIOUS RATES OF MORTALITY OBTAINED FROM SAME ORIGINAL STATISTICS. Statistics used were populations estimated as of July 1, 1910, and reported deaths for 1909, 1910, and 1911 of males in the state of New York. See Table 159, p. 450. Observed rates of mortality from ungraduated population and mortality statistics, 9 q x . Rates of mortality from population and mortality statistics graduated by applying fifth difference osculatory interpolation formula to original statistics grouped in each of the five quinquennial age groups. Rates of mortality from the average of these five sets of graduated population and mortality statistics, average group* AGE. Observed rates, o?z. AGE GROUP OF POPULATION AND MORTALITY STA- TISTICS TO "WHICH OSCULATORY INTERPOLATION FORMULA WAS APPLIED. Average group. AGE. Observed rates, olx- AGE GROUP OF POPULATION AND MORTALITY STA- TISTICS TO WHICH OSCULATORY INTERPOLATION FORMULA WAS APPLIED. Average group. 1-5 2-6 3-7 4-8 6-9 1-5 2-6 3-7 4-8 6-9 15 .002818 .003093 .002895 .002877 .002992 .003074 .002987 50 .017763 . 018972 .019007 .018567 . 018947 .019056 . 018905 16 .003119 .003478 . 003362 . 003306 . 003365 .003508 . 003404 51 .021702 .020207 .020069 .019530 . 019817 . 019881 . 019893 17 .004103 .003974 .003884 .003783 .003774 .003932 .003869 52 .020750 . 021653 .021235 .020846 . 020895 .020817 . 021078 18 .004344 .004403 .004470 .004274 .004190 .004289 .004326 53 .023107 . 023198 .022532 . 022347 .022221 .021973 . 022439 19 .004908 . 004710 .004925 .004794 . 004620 .004591 . 004728 54 . 023826 . 024633 .023959 . 024167 . 023717 . 023402 . 023964 20 .005047 .004936 .005162 .005187 .005069 .004910 .005053 55 .025661 . 025954 .025510 . 026138 . 025453 .025036 . 025610 21 .005313 .005187 . 005268 .005398 .005421 .005241 .005303 56 . 027156 . 027406 .027208 . 027913 .027382 . 026956 . 027369 22 .005556 .005451 . 005410 . 005503 .005630 . 005513 .005501 57 .030292 .028908 . 029119 .029455 . 029348 .029133 .029190 23 .005676 .005682 .005555 . 005639 .005755 .005715 .005669 58 .030613 . 030650 .031282 . 031163 . 031302 . 031352 . 031144 24 .005670 .005879 .005729 .005779 . 005901 .005882 .005834 59 .032627 . 032850 .033601 . 032931 . 033434 . 033498 . 033256 25 .006048 . 006062 . 005966 .005957 . 006051 .006064 . 006020 60 . 033531 .035501 . 035918 .034913 . 035721 . 035777 . 035561 26 .005961 . 006253 .006260 .006206 . 006232 .006251 . 006240 61 .042609 .038367 .038183 .037332 . 038087 .038141 .038019 27 . 006790 . 006437 . 006559 .006512 .006483 .006483 . 006494 62 .039533 .041595 . 040535 . 040171 . 040540 . 040527 .040668 28 . 006996 . 006699 . 006871 .006822 .006802 .006789 .006796 63 . 045923 .044789 .042909 . 043140 . 043103 .043022 . 043379 29 . 006991 . 007096 . 007236 . 007139 . 007139 .007161 . 007154 64 .045997 . 047527 .045441 . 046326 . 045759 . 045698 . 046134 30 .007223 .007615 .007660 .007518 . 007500 .007550 .007569 65 .046306 .049892 .048350 . 049578 .048472 . 048477 . 048942 31 .008780 . 008176 .008125 . 007987 . 007945 .007959 .008039 66 .051497 .052383 .051704 . 052715 .051448 .051343 .051913 32 .008352 . 008820 .008611 . 008529 . 008474 .008434 .008573 67 .059346 .054790 . 055270 . 055793 . 054869 .054530 .055048 33 .009134 . 009451 . 009126 .009107 .009036 .008973 .009135 68 .058541 . 057773 .059112 .059043 . 058737 .058190 . 058567 34 . 009490 . 009939 . 009642 .009744 . 009605 . 009539 . 009691 69 .062558 . 061977 .063354 .062357 . 062852 .062304 .062564 35 . 010558 .010297 .010136 .010345 . 010191 .010116 .010216 70 .060207 .067383 .067930 .066149 .067279 .066706 .067081 36 . 010451 .010668 .010615 .010820 .010723 . 010722 . 010709 71 .081739 .073265 . 072752 .070840 .072074 . 071459 .072065 37 .011543 . 011017 .011112 . 011191 .011176 .011254 .011149 72 .077538 .080025 .077922 . 076459 . 077257 . 076645 .077637 38 .011229 .011394 .011629 . 011572 . 011589 .011673 . 011570 73 .087726 . 086959 .083465 .082635 . 082881 .082350 .083620 39 . 012203 .011874 . 012123 .011938 . 012030 . 012032 . 011998 74 .086505 . 093164 . 089253 .089693 . 089123 . 088674 .089943 40 .011872 . 012472 .012585 . 012328 .012487 . 012419 . 012456 75 .093801 .098734 .095481 .097079 . 096160 .095812 .096628 41 . 014395 .013117 . 013040 . 012807 . 012970 . 012813 . 012947 76 . 102104 . 104978 . 102533 .104184 . 103554 .104082 . 103856 42 . 013163 .013858 .013525 . 013398 . 013491 .013281 .013506 77 . 115307 . 111662 . 110726 .111169 . 110997 . 112716 .111454 43 .014263 .014588 .014037 . 014048 . 014055 . 013870 .014113 78 . 126843 . 119078 . 120613 . 119208 . 118688 . 120919 . 119695 44 .014336 . 015155 .014604 .014804 . 014653 . 014550 .014748 79 . 131266 . 127895 . 131739 .128402 . 127478 . 128759 . 128819 45 .015827 . 015579 . 015230 . 015594 . 015299 .015256 . 015387 80 . 124430 . 138347 . 142757 . 138554 . 137656 . 137566 . 138929 46 .015673 . 016033 .015897 .016268 .015990 .016011 . 016037 81 . 158798 . 150225 . 153005 . 149482 . 148792 . 147336 . 149738 47 . 017284 . 016467 . 016587 . 016814 . 016702 . 016781 .016668 82 . 155871 . 164574 . 164357 . 161054 . 160239 .157842 . 161581 48 .016834 .017026 .017301 . 017377 . 017424 . 017528 .017328 83 . 184310 . 179560 . 176686 . 173934 . 171738 . 169147 . 174163 49 . 018381 . 017857 .018090 .017909 .018177 . 018266 . 018057 84 . 182191 . 192293 . 188520 .188585 .184442 . 181357 . 186994 85 . 199487 .202042 . 199551 . 203286 . 198539 . 194890 . 199647 * Average values of population and mortality statistics graduated from all five quinquennial age groups could also be obtained by the 29-term osculatory inter- polation formula. See Notes on Summation Formulas of Graduation. George King. Journal of the Institute of Actuaries, vol. 41, p. 543. 358 UNITED STATES LIFE TABLES. Table 123 shows the excess of lO 6 ^ for the groups 1-5, 2-6, 3-7, 4-8, and 5-9, respectively, over the average group in Table 122, that is, the deviations for each group from their mean or average values. It will be observed that the totals are given for each of the five different groups for the age intervals 15-85 and 28-77. The age interval 28-77 was chosen because the decided exaggeration of populations and deathsfor ages ending inO, 5, and 8 apparently lies within these limits. The totals in Table 123 show that the groups 2-6, 3-7, and 4-8 bear this test well, and the absolute totals, 21,417 and 8,574, quite definitely favor the group 4-8. Table 123.— DEVIATIONS OP RATES OF MORTALITY FOR EACH GROUP FROM THOSE FOR THE AVERAGE GROUP IN TABLE 122, MULTIPLIED BY 10 6 . AGE GROUP OF POPULATION AND* MORTALITY STATISTICS TO AGE GROUP OP POPULATION AND MORTALITY STATISTICS TO WHICH OSCULATORY INTERPOLATION FORMULA WAS APPLIED. WHICH OSCULATORY INTERPOLATION FORMULA WAS APPLIED. AGE. AGE. 1-5 2-6 3-7 4-8 5-9 1-5 2-6 3-7 4-8 1 5-9 + _ + _ + _ + _ + _ + + + + _ + _ 15 106 92 110 5 87 60 60 357 648 160 216 16 74 42 98 39 104 61 348 164 687 68 122 17 105 15 86 95 63 62 927 133 497 128 141 18 77 144 52 136 37 63 1,410 470 239 276 357 19 18 197 66 108 137 64 1,393 693 192 375 436 20 117 109 134 16 143 65 950 592 636 470 465 21 116 35 95 118 62 66 470 209 802 465 570 22 50 91 2 129 12 67 258 222 745 179 518 23 13 114 30 86 46 68 794 545 476 170 377 24 45 105 55 67 48 69 587 790 207 288 260 25 42 54 63 31 44 26 13 20 34 8 11 70 302 849 932 198 375 27 57 65 18 11 11 71 1,200 687 1,225 9 606 28 97 75 26 6 7 72 2,388 285 1,178 380 992 29 58 82 15 15 7 73 74 3,339 3,221 155 690 985 250 739 820 1,270 1,269 30 46 91 51 69 19 31 137 86 52 94 80 75 2,106 1,147 451 468 816 32 247 38 44 99 139 76 1,122 1,323 328 302 226 33 316 9 28 99 162 77 208 728 285 457 1,262 34 248 49 53 86 152 78 617 918 487 1,007 1,224 35 81 80 129 25 100 79 924 2,920 417 1,341 60 36 41 94 111 14 13 80 582 3,828 375 1,273 1,363 37 132 37 42 27 105 81 487 3,267 256 946 2,402 38 176 59 2 19 103 82 2,993 2,776 527 1,342 3,739 39 124 125 60 32 34 83 5,397 2,523 229 2,425 5,016 40 16 129 128 31 37 84 5,299 1,526 1,591 2,552 5,637 41 170 93 140 23 134 42 352 19 108 15 225 85 2,395 96 3,639 1,108 4,757 43 44 475 407 76 144 56 65 58 95 243 198 TOTALS, AGES 15 TO 85, BOTH INCLUSIVE. 45 46 192 157 140 207 231 88 47 131 4 26 Positive 41,882 24,048 11, 786 2,296 4,850 47 201 81 146 34 113 Negative 6,697 8,000 12, 141 19, 121 35, 815 48 302 27 49 96 200 Net +35,185 +16,048 -355 -16,825 -30, 965 49 200 33 148 120 209 Absolute 48, 579 32,048 23,927 21,417 40,665 50 51 67 314 102 176 338 363 42 76 151 12 TOTALS, AGES 28 TO 77, BOTH INCLUSIVE. 52 53 575 759 157 93 232 92 183 218 261 468 64 669 5 203 247 562 Positive .24,836 5,740 6,241 1,844 3,211 55 344 100 528 157 575 Negative 4,216 7,371 9,322 6,730 12,451 56 37 161 544 13 413 Net +20,620 -1,631 -3,081 -4,886 -9,240 57 58 282 494 138 71 266 19 158 158 208 57 Absolute 29,052 13, 111 15,563 8,574 15, 662 59 406 345 325 178 242 In Table 124 the groups are considered from another angle, namely, 10 5 times the third differences of the rates of mortality in Table 122 for each age and the various totals of the same. While the indications here are not decisive, it is noted that the sums of the abso- lute values, 1,073 for age interval 15-85 and 479 for age interval 28-77, show that the smallest differences are in the 4-8 group. The net differences in the two age intervals, however, —143 and 137, respectively, are larger than in most of the other groups. Papps 1 has discussed the methods employed in Tables 123 and 124, and from results he obtained in age intervals 30-37 and 30-40, respectively, declares in favor of group 3-7. 1 Effect of Grouping in Graduation by Osculatory Interpolation. P. C. H. Papps. Quarterly Publication of the American Statistical Association, vol. 16, p. 190. AGE GROUPS. Table 124.— THIRD DIFFERENCES OF GRADUATED RATES OF MORTALITY IN TABLE 122. 10 5 5 3 fc . Rates were taken to nearest fltth decimal place and multiplied by 1*. 359 AGE GROUP OF POPULATION AND MORTALITY STA- AGE GROUP OF POPULATION AND MORTALITY STA- TISTICS TO WHICH OSCULATORY INTERPOLATION TISTICS TO WHICH OSCULATORY INTERPOLATION AGE. FORMULA WAS APPLIED. Average group. AGE. FORMULA WAS APPLIED. Average group. 1-5 2-6 3-7 4-8 5-9 1-5 2-6 3-7 4-8 5-9 + _ + _ + _ + 1 - + + _ + _ + _ + ^ + _ + .— + - 15 16 1 2 4 7 60 40 9 29 3 7 13 16 6 20 1 1 5 61 41 . 15 9 1 9 2 17 4 10 15 1 8 2 62 7 22 16 5 9 2 18 10 11 7 12 1 1 63 51 6 17 22 2 10 19 1 15 8 4 7 2 64 21 22 4 17 25 1 20 4 2 15 6 2 65 65 5 25 1 14 21 21 1 4 9 1 2 66 66 13 11 21 2 9 22 1 5 4 7 4 67 4 6 40 8 15 6 23 3 2 3 2 1 6S 70 10 43 4 4 6 24 1 4 2 4 3 ( 69 38 11 3 4 10 11 25 7 ( 4 ( 4 3 70 70 3 37 3 7 17 26 7 5 | l« 2 2 71 90 15 31 19 11 7 27 2 |l 5 4 3 72 10 22 53 IS 20 3 28 8 3 7 6 2 73 131 37 63 45 31 17 29 4 4 2 2 4 1 74 25 33 18 29 76 18 30 9 3 3 2 1 2 7.5 31 53 116 18 81 30 31 13 5 1 5 4 6 76 66 43 10 86 8 21 32 1 6 7 1 2 77 23 136 19 29 133 12 33 14 1 12 6 1 2 78 20 66 18 44 1 29 U 3 3 4 2 9 1 79 103 187 14 63 23 33 35 4 2 11 2 4 3 80 181 12 67 27 8 29 36 8 6 2 S 5 3 81 291 148 47 115 9 49 37 1 1 3 1 9 2 82 72 30 174 20 42 42 38 7 6 7 3 83 319 41 160 137 64 19 39 4 6 2 2 8 4 84 165 19 21 110 112 84 40 10 2 5 1 4 3 85 169 142 104 34 200 20 41 42 43 44 1 IS 15 4 3 2 3 2 4 6 15 3 4 3 2 2 1 3 6 2 n l 4 3 TOTALS, AGES 1.5 TO 85, BOTH INCLUSIVE. Positive 1,285 550 733 465 517 264 45 13 17 1 4 ' 5 Negative 1,270 756 810 608 631 372 46 15 6 7 3 1 ; 4 Net +15 -206 -77 -143 -114 -108 47 1 5 17 3 6 5 Absolute 2,555 1,306 1,543 1,073 1,148 636 48 49 50 7 15 9 1 1 3 17 6 18 9 11 3 9 9 2 1 8 4 TOTALS, AGES 28 TO 77, BOTH INCLUSIVE. 51 23 2 14 6 7 1 Positive 662 284 479 308 371 195 52 1 2 17 5 7 3 Negative 511 300 389 171 276 103 53 25 3 35 3 7 2 Net + 151 -16 +90 +137 +95 +92 54 55 20 10 6 4 37 2 16 6 3 20 7 5 Absolute 1,173 584 868 479 647 298 56 22 9 8 20 12 4 57 1 16 14 2 20 1 58 j 23 6 23 8 5 2 59 ' 14 16 2 5 3 Another method which may help to decide upon the age group is to find the deviation of the expected deaths from the actual deaths by means of the mor- tality rates shown in Table 122. The expected deaths were obtained by multiplying three times the estimated population at each age as of July 1, 1910, by the cor- responding central death rate, the multiplier 3 being used because the deaths are for the three-year period 1 909-1 9 1 1 . The results are exhibited in Table 125, and indicate that the choice must lie in the groups 2-6, 3-7, and 4-8, but do not show clearly which of these should be selected. 360 UNITED STATES LIFE TABLES. Table 125.— DEVIATION OF EXPECTED DEATHS, ACCORDING TO GRADUATED RATES OF MORTALITY IN TABLE 122, FROM ACTUAL DEATHS. AGE GROUP OF POPULATION AND MORTALITY STATISTICS TO WHICH OSCULATORY INTERPOLATION FORMULA WAS APPLIED. AGE. AVERAGE GROUP. AGE. 1-5 2-6 3-7 4-8 5-9 Expected Accumu- Expected Accumu- Expected Accumu- Expected Accumu- Expected Accumu- Expected Accumu- less actual lated less actual lated less actual lated less actual lated less actual lated less actual lated deaths. deviation deaths. deviation deaths. deviation deaths. deviation deaths. deviation deaths. deviation + — + 1 - + _ + _ + + _ 15 61 61 17 17 13 13 38 38 57 57 37 37 15 16 90 151 61 78 47 60 62 100 97 154 72 109 16 17 32 119 54 24 78 -18 81 19 42 112 57 52 17 18 16 135 33 57 19 -37 41 -22 15 97 5 47 18 19 51 84 4 61 29 -66 74 -96 82 15 46 1 19 20 30 54 30 91 37 -29 6 -90 37 -22 2 3 20 21 35 19 12 79 24 -5 30 -60 20 -42 3 21 22 30 -11 42 37 15 -20 21 -39 12 -54 16 -16 22 23 2 -9 34 3 10 -30 22 -17 11 -43 2 -18 23 24 60 51 17 20 32 2 67 50 61 18 47 29 24 25 4 55 24 -4 27 -25 1 51 5 23 8 21 25 26 82 137 84 80 69 44 76 127 81 104 78 99 26 27 92 45 60 20 73 -29 80 47 80 24 77 22 27 28 88 -43 37 -17 51 -80 57 -10 61 -37 59 -37 28 29 25 -18 58 41 35 -45 35 25 41 4 39 2 29 30 127 -109 141 182 95 50 90 115 106 110 112 114 30 31 110 -7 126 56 153 -103 161 -46 158 -48 143 -29 31 32 117 110 65 121 44 -59 30 -16 21 -27 55 26 32 33 69 179 2 119 6 -65 22 -38 35 -62 ) 26 33 34 100 279 34 153 57 -8 25 -13 11 -51 45 71 34 35 71 208 115 38 58 -66 100 -113 120 -171 93 -22 35 36 47 255 35 73 80 14 59 -54 58 -113 56 34 36 37 103 152 84 -11 69 -55 72 -126 56 -169 77 -43 '37 38 39 191 96 85 82 27 86 -40 106 -63 82 39 38 39 63 128 15 70 51 -24 33 -73 33 -96 40 -1 39 40 168 296 200 270 128 104 173 100 154 58 164 163 40 41 184 112 195 75 228 -124 205 -105 227 -169 208 -45 41 42 144 256 75 150 49 -75 68 -37 i 24 -145 71 26 42 43 53 309 37 113 35 -110 34 -71 64 -209 25 1 43 44 128 437 42 155 73 -37 49 -22 33 -176 64 65 44 45 51 386 123 32 48 -85 109 -131 118 -294 91 -26 45 46 52 438 32 64 86 1 46 -85 49 -245 53 27 46 47 114 324 97 -33 65 -64 81 -166 70 -315 86 -59 47 48 31 355 76 43 88 24 96 -70 113 -202 80 21 48 49 74 281 41 2 67 -43 29 -99 16 -218 46 -25 49 50 242 523 249 251 161 118 237 138 259 41 228 203 53 51 157 366 171 80 228 -110 198 -60 191 -150 190 13 51 52 123 489 66 146 13 -97 20 -40 9 -141 45 58 52 53 10 499 63 83 83 -180 97 -137 124 -265 73 -15 53 54 91 590 1? 98 38 -142 12 -149 48 313 16 1 54 55 34 624 17 81 55 -87 24 -173 72 -385 6 -5 55 56 25 649 5 86 75 -12 22 -151 20 -405 21 16 56 57 113 536 96 -10 69 -81 77 -228 95 -500 90 -74 57 58 3 539 59 49 48 -33 61 -167 65 -435 47 -27 58 59 17 556 74 123 23 -10 62 -105 66 -369 48 21 59 60 216 772 262 385 151 141 240 135 246 -123 222 243 60 61 241 531 252 133 300 -159 257 -122 254 -377 261 -18 61 62 148 679 72 205 46 -113 72 -50 71 -306 81 63 62 63 72 607 190 15 175 -288 178 -228 183 -489 160 -97 63 64 93 700 34 -19 20 -268 14 —242 18 -507 8 -89 64 65 277 977 158 139 252 -16 167 -75 167 -340 203 114 65 66 45 1,022 10 149 61 45 2 -77 8 -348 21 135 66 67 217 805 195 -46 170 -125 214 -291 230 -578 205 -70 67 68 38 767 28 -18 25 -100 10 -281 17 -595 1 -69 68 69 26 741 35 17 9 -109 13 -268 11 -606 C -69 69 70 397' 1,138 427 444 328 219 391 123 359 -247 380 311 70 71 260 878 275 169 334 -115 296 -173 315 -562 296 15 71 72 92 970 14 183 40 -155 10 -183 33 -595 4 19 72 73 24 946 134 49 160 -315 152 -335 169 -764 129 -110 73 74 196 1,142 81 130 94 -221 77 -258 64 -700 101 -9 74 75 152 1,294 52 182 101 -120 72 -186 62 -638 87 78 75 76 70 1,364 10 192 51 -69 35 -151 48 -590 43 121 76 77 70 1,294 88 104 80 -149 83 -234 50 -640 74 47 77 78 142 1,152 114 -10 140 -289 149 -383 108 -748 131 -84 78 79 52 1,100 7 -3 45 -334 59 -442 39 -787 38 -122 79 80 231 1,331 305 302 235 - 99 220 -222 218 -569 241 119 80 81 91 1,240 61 241 99 -198 106 -328 121 -690 96 23 81 82 95 1,335 93 334 57 -241 48 -280 21 -669 62 85 82 83 42 1,293 67 267 90 -131 109 -389 132 -801 88 -3 83 84 82 1,375 51 318 52 -179 18 -371 7 -808 39 36 84 85 17 1,392 318 25 -154 -377 30 -838 1 37 85 TOTALS, AC .ES 15 TO 85, BOTH INCLUSIVE. Positive 4 071 3,173 2 950 2,845 2,683 2,956 Positive Negative Net 2 679 2,855 3 104 3,222 3,521 2,919 Negative Net + 1 392 +318 -154 -377 -838 +37 Absolute 750 6,028 054 6,067 6,204 5,875 Absolute TOTALS, AC ES 28 TO 77, BOTH INCLUSIVE. Positive 3 331 2,471 2 359 2,236 2,132 2,377 Positive Negative Net 2 082 2,387 2 479 2,617 2,796 2,352 Negative H 249 +84 -120 -281 -664 +25 Net Absolute 5 413 4,858 4 838 4,753 4,928 4,729 Absolute AGE GROUPS. 361 Another criterion which should be given careful consideration is that which requires the sum of the weighted squared deviations of the graduated values from the observed values to be a minimum. Although there are systematic errors, as opposed to accidental errors, in the population and mortality statistics, it is also true that they compensate in a remarkable degree in the calculation of certain mortality functions. The systematic exaggerations in population returns are almost paralleled in the mortality statistics for even ages and ages which are multiples of 5, and a graph of the observed rate of mortality, q x , shows that the systematic errors are almost eliminated. It may therefore be assumed that the weight of the squared deviation (q x — q x ) 2 is approximately equal to w x = n/p x q x , where n, the number of observations, may be taken equal to the graduated population, P x , to avoid the systematic errors in the enumerated population. For the object in hand only relative weights, or proportional populations, are required, and by employing the formula PA ° Z *~ < * :)2 a test is obtained on the hypothesis that systematic errors have been removed from the enumerated popu- lation and the observed rate of mortality. Table 126. -WEIGHTED SQUARED DEVIATIONS OF GRADUATED RATES OF MORTALITY FROM OBSERVED RATES OF MORTALITY IN TABLE 122. 10 3 P, Pxix (fe-ofe) 2 AGE GROUP OF POPULATION AND MORTALITY STATISTICS AGE GROUP OF POPULATION AND MORTALITY STATISTICS TO 'WHICH OSCULATORY INTERPOLATION FORMULA WAS TO WHICH OSCULATORY INTERPOLATION FORMULA WAS AGE. APPLIED Average group. AGE. APPLIED Average group. 1-5 2-6 3-7 4-8 5-9 1-5 2-6 3-7 4-8 5-9 15 1,957 165 95 806 1,710 763 55 114 32 291 60 558 4 16 3,028 1,444 851 1,450 3,474 1,936 56 76 3 649 61 48 ■54 17 349 1,035 2,252 2,367 608 1,174 57 2,120 1,475 727 929 1,377 1,283 18 68 303 98 481 59 6 58 1 414 285 444 492 265 19 730 5 240 1,567 1,904 600 59 44 764 79 542 618 331 20 225 229 343 9 343 1 00 2,933 4,074 1,478 3,553 3,707 3,066 21 283 35 123 197 92 2 61 11,728 12,658 19,055 13,505 13,275 13,936 22 191 370 48 91 32 52 62 2,374 587 243 596 593 754 23 1 253 23 102 25 1 63 622 4,827 4,040 4,161 4,512 3,360 24 718 59 194 863 721 441 64 1,008 148 49 26 42 9 25 3 108 131 4 12 26 1,314 1,341 907 1,137 1,254 1,182 65 5,028 1,768 4,285 1,959 1,978 2,851 27 1,863 746 1,095 1,370 1,337 1,259 66 278 16 526 1 9 63 28 1,249 203 403 502 568 536 67 6,687 5,289 3,985 6,537 7,620 5,951 29 142 722 273 267 353 329 68 170 90 71 11 35 69 84 150 10 21 16 30 1,761 2,126 1,007 850 1,203 1,353 31 3,698 4,427 6,659 7,027 6,943 5,647 70 10, 781 12,259 7,754 10,661 9,149 10,0C7 32 1,936 640 301 139 64 456 71 12,600 14, 469 22, 459' 17, 138 19, 752 17, 106 33 794 1 6 84 227 72 899 23 186 12 128 2 34 1,507 188 502 108 20 321 73 71 2,449 3,478 3,137 3,924 2,223 74 4,545 874 1,133 773 536 1,315 35 500 1,350 323 1,032 1,488 873 36 338 191 920 532 523 470 75 2,141 274 993 525 383 746 37 1,952 1,236 812 908 557 1,045 76 618 15 333 165 304 238 38 185 997 747 815 1,233 742 77 840 1,346 1,098 1,209 427 950 39 676 37 435 176 171 252 78 3,186 1,957 3,070 3,565 1,839 2,676 40 2,000 2,760 1,230 2,069 1,039 1,900 79 491 9 349 624 273 254 41 8,068 9,246 13, 692 10, 322 12,807 10,737 42 2,093 611 267 506 66 548 80 6,717 10,663 6,814 6,067 6,127 7,179 43 410 219 198 188 680 95 81 2,015 880 2,380 2,749 3,768 2,252 44 2,448 285 818 400 186 658 82 1,604 1,542 591 417 89 713 83 368 1,012 1,880 2,767 4,185 1,788 45 219 1,316 181 1,013 1,217 695 84 1,308 564 559 70 10 317 46 446 173 1,109 335 391 445 47 2,231 1,567 677 1,051 796 1,205 85 67 154 10 232 48 49 117 788 657 236 879 650 1,014 114 1,405 36 732 294 AGES. TOTALS AGES 15 T O So AND 2 8 to 77. 50 51 3,665 4,880 13 947 3,919 6,048 1,793 11, 743 3,598 8,432 4,226 7,811 3,367 7,636 52 53 595 1,048 45 10 222 15-85 136, 841 126,978 142, 273 135, 737 144,954 128,564 28 176 1,456 2,467 804 28-77 110,355 104,258 120,076 109,028 116,868 105,956 54 1,530 476 20 19 298 30 362 UNITED STATES LIFE TABLES. This formula has been applied to the five quin- quennial groups and the average group in Table 122, and the results are set forth in Table 126. The test indicates that the minimum sum of weighted squared deviations of the rate of mortality is associated with the 2-6 group and that the sum is even lower than that for the average group, which is next in order. Among the quinquennial groups the next in order for both the age intervals 15-85 and 28-77 is the 4-8 group. The showing is least favorable for the 3-7 group, which has multiples of 5 in the center. The group usually employed in presenting vital and population statistics, namely, the 5-9 group, also shows to disadvantage under this test. RATIO TEST FOR CONCENTRATION IN AGE GROUPS. 130. Another very different method J of considering this problem is to examine the ratio of the number in any quinquennial age group to the number which is the mean of the two adjoining quinquennial age groups. If the populations or deaths were not arti- ficially exaggerated at certain ages, this ratio should vary with the age with a certain degree of regularity; if it does not, the group which shows the smallest average difference between these ratios for groups 1 The Comparative Accuracy of Different Forms of Quinquen- nial Age Groups. Allyn A. Young. Quarterly Publication of the American Statistical Association, vol. 7, p. 27. including ages ending in and ending in 5 may be regarded as approaching more nearly the group in the actual undisturbed population and death groups. In Table 127 populations summed in all five quin- quennial age groups are arranged so that sums in- cluding populations for the same age ending in or ending in 5 are in the same line with that age, which is shown under the heading "Age common to all five groups, x." Thus the sums in the first line are made up of populations aged 11 to 19 and each contains the population aged 15, group 1-5 containing population aged 11 to 15, group 2-6 containing population aged 12 to 16, and so on to group 5-9 containing popula- tion aged 15 to 19. In the second line the population ranges from 16 to 24 years of age, and the population aged 20 is included in each of the five sums. Then the ratio of the number in each quinquennial age group including an age ending in to the sum of those immediately above and below it, each containing an age ending in 5, is designated by M„ while the ratio of the number in each age group including an age end- ing in 5 to the sum of those immediately above and below it, each including an age ending in 0, is desig- nated by .jMs, the x designating the age in the numer- ator. The ratios are calculated for ages 20 to 95 for population of males in the state of New York, esti- mated as of July 1, 1910. Table 127.— QUINQUENNIAL AGE GROUPS TESTED BY COMPARING RATIOS OF POPULATION. Ratio of number in age group including age ending in to sum ol those immediately above and below it, each including an age ending in 5, is designated by oM z Ratio of number in age group including age ending in 5 to sum of those immediately above and below it, each including an age ending in 0, designated by ,Mi. Population of males in the state of New York, estimated as of July 1, 1910. Total age interval used in the five groups. Age common to all five groups. AGE GROUP IN WHICH POPULATION IS SUMMED. 1-5 2-6 3-7 4t-8 5-9 1 1—4 and x+1 1—3 oMz and X+2 1-2 and 1+3 i—i oMz and 1+4 2Jp, X and 1-4 to 1+4 1 Per cent. Per cent. Per cent. Per cent. Per cent. 11-19 16-24 15 20 389,591 426,548 397,983 435, 105 396,317 448,284 405, 619 453,339 411,802 463,552 49.4 49.9 52.0 51.7 53.6 21-29 25 473, 101 53.2 474, 131 54.6 466,091 53.1 470,580 54.8 453,622 52.6 26-34 30 463,086 54.2 433,989 50.3 430,034 51.4 404, 730 47.7 399, 449 48.6 31-39 35 381,855 45.8 389, 261 49.9 371,245 47.6 377,846 51.8 367, 773 51.6 36-44 40 370,663 55.3 346, 795 51.2 350, 272 55.0 324, 887 50.5 312, 661 49.7 41-49 45 287,923 45.8 288, 197 48.7 265, 727 44.7 265,517 48.2 260,805 49.3 46-54 50 258,472 54.3 245, 147 51.7 243,969 56.2 226, 307 53.1 216,306 52.8 51-59 55 188, 481 46.5 186,243 49.3 168,371 45.1 161,059 46.4 149, 105 44.9 56-64 60 146, 747 50.0 132,977 46.0 129,391 49.2 121,076 48.2 115, 823 49.5 61-69 65 105,042 46.8 102, 796 50.4 94,867 48.2 90,344 49.5 84,802 49.2 66-74 70 77,581 50.5 71,062 47.6 67,481 49.7 61,511 48.4 56, 690 48.4 71-79 7.5 48, 713 46.2 46, 607 49.3 40, 891 46.3 36,675 46.2 32,248 44.6 76-84 80 27, 797 45.4 23,464 40.9 20,828 41.9 17,867 40.7 15,543 41.0 81-89 85 12, 461 38.5 10,832 40.2 8,829 37.7 7,203 36.2 5,680 33.4 86-94 90 4,534 33.8 3,466 30.1 2,611 28.0 2,024 26.9 1,451 24.6 91-99 95 939 20.1 685 19.2 498 18.6 325 15.7 222 14.9 96-104 100 149 103 68 49 34 AGE GROUPS. 363 Table 128.— QUINQUENNIAL AGE GROUPS TESTED BY COMPARING DIFFERENCES OF AVERAGED RATIOS FOR POPULATIONS AND FOR DEATHS. A. VALUES OP oMz AND t Mx FROM TABLE 127, COPIED IN SEPARATE COLUMNS. AGE. AGE GROUP IN WHICH POPULATION IS SUMMED. 1-5 2-6 ! 3-7 4-8 5-9 I oMx tUx oMz 6M1 oMi oMx oMz sMx iM, 5 Mz 20 25 30 35 40 45 50 55 60 65 70 75 80 49.4 49.9 52.0 51.7 47.7 53.6 53.2 54.6 53.1 54. S 52.6 54.2 50.3 51.4 48.6 45.8 49.9 47.6 51.8 51.6 55.3 51.2 55.0 50.5 49.7 45.8 48. 7 44.7 48.2 49.3 54.3 51.7 56.2 53.1 52.8 46.5 49.3 45.1 46.4 44.9 50.0 46.0 49.2 4S.2 49.5 46.8 50.4 49.3 48.2 49.5 49.2 50.5 47.6 49.7 48.4 48.4 46.2 46.3 46.2 44.6 45.4 40.9 41.9 40.7 41.0 B. VALUES OFoMi AND 6 M(, THE AVERAGE OP ,11, AND sM,, RESPECTIVELY, FOR CERTAIN AGE INTERVALS,*. 20 to 65 25 to 80 30 to 75 52.6 51.6 52.9 47.6 47.4 46.2 49.8 48.0 49.5 50.6 50.4 49.5 52.8 50.6 52.3 47.7 47.5 46.4 50.2 48.1 49.6 50.1 49.5 48.4 50.8 48.3 49.8 49.5 48.7 47.9 C. VALUES OF M(— Mt EOR CERTAIN POPULATIONS AND DEATHS FOR THE ABOVE AGE INTERVALS. AREA AND SEX OP POPU- LATIONS AND DEATHS. AGE GROUP IN WHICH POPULATIONS AND DEATHS WERE SUMMED. 1-5 2-6 3-7 4-8 5-9 1-5 2-6 3-7 4-8 5-9 Estimated population July 1, 1910. Deaths in 1909, 1910, and 1911. oMh)_65 — 6M»_66 5.0 4.4 5.9 5.1 -0.8 -0.5 +0.1 -0.4 5.1 4.8 5.4 5.1 0.1 0.5 0.2 0.3 1.3 1.1 1.5 1.3 2.1 1.5 2.4 2.0 0.3 0.1 -0.4 3.9 4.0 3.0 3.6 0.3 0.8 -0.6 0.2 0.9 1.1 0.0 0.7 ♦Original regis- 1 Males tration states. JFemales . 0M26-80 — 6M26-80 4.2 3.6 4.9 4.2 -2.5 -2.3 -1.9 -2.2 3.1 2.5 3.0 2.9 -1.4 -1.1 -1.7 -1.4 -0.4 -0.7 -0.5 -0.5 1.7 1.3 2.9 2.0 -1.4 -1.5 -1.0 -1.3 2.1 1.6 1.9 1.9 -0.9 -0.9 -1.4 -1.1 -0.1 -0.3 -0.8 -0.4 *Original regis- 1 Males tration states. JFemales. oMso-76 — oMa>_75 6.7 5.6 6.8 6.4 -0.1 -0.4 +0.1 -0.1 5.9 5.2 5.4 5.5 1.2 1.3 0.2 0.9 1.9 1.5 1.2 1.5 2.4 1.7 3.6 2.6 -1.0 -1.5 -0.3 -0.9 2.5 1.8 2.6 2.3 -0.5 -1.0 -1.4 -1.0 -0.2 -0.6 -1.2 -0.7 "Original regis-] Males tration states. JFemales. D. AVERAGE OF THE AVERAGES IN C. 5.2 -0.9 4.5 -0.1 0.8 2.2 -0.7 2.6 -0.6 -0.1 * Original registration states include Maine, New Hampshire, Vermont, Massachusetts, Rhode Island, Connecticut, New York, New Jersey, Indiana, Michigan, and the District of Columbia. 364 UNITED STATES LIFE TABLES. Table 128 shows the JA X and B M X in Table 127 between ages 20 and 80 entered in separate columns; the average, „M t and 6 M t , of the values in each column, where t denotes age intervals 20-65, 25-80, and 30-75 years; the differences of the averages, M M and „M,„_ - M — M 5 5 lvJ -30-75 > and the average of these averages for populations, estimated as of July 1, 1910, of males in the state of New York, of males and of females in the original registration states, and for deaths during the period 1909-1911 among these three populations. This method favors the groups 2-6, 4-8, and 5-9. SELECTION OF QUINQUENNIAL AGE GROUP FOR OSCULATORY INTERPOLATION IN CONSTRUCTION OF UNITED STATES LIFE TABLES. 131. King 1 made an exhaustive study of quinquen- nial age groups and concluded that the 4-8 group would furnish graduated populations most faithfully reflecting the true distributions of populations with respect to age, and he based his construction of the English Life Tables No. 8 on the 4-8 group. Taking into account the preceding results and references, it is not difficult to eliminate groups 1-5 and 5-9. However, the decision as to groups 2-6, 3-7, and 4-8 still remains a problem. As between these three groups it will be observed that groups 2-6 and 3-7 contain both the ages ending in the digits and 8 in the same quinquennial age group, while the adjacent five-year groups contain the ages ending in the digit 5. This tends to exaggerate unduly alternate quinquennial age groups in these sets. With the group 4-8, however, the ages ending in the digits 5 and 8 are in the same quinquennial group and the ages ending in the digit are in the adjacent five-year groups. Since the exaggeration for ages which are multiples of 10 is undoubtedly greater than for ages which end in the digit 5, the group 4-8 would seem to furnish a better balanced grouping than the group 2-6 or 3-7. In the construction of the United States Life Tables the 4-8 group was employed where populations and deaths by single years were available; otherwise the 5-9 group was employed, since it was the only one available. GRAPHS FOR AGE INTERVAL UNDER 1 YEAR AND AGE INTERVAL UNDER 1 MONTH. 132. When the figures in the several columns of the life tables are plotted for monthly intervals under 1 year and for annual intervals beginning with age 1, it is only necessary in most cases to connect the points by drawing a smooth curve through them to obtain the required graph. There are some exceptions 1 Report on the Graduation of A^es. George King. Census of England and Wales, 1911, vol. 7, p. xxxix. to this rule, notably for the number of survivors and for monthly rates of mortality for days and weeks of age under 1 month and the annual rates of mortality for each month of age under 1 year. The variation is so great in these intervals that unless the points are simply connected by a straight line some approx- imate method must be devised to draw the curves. In the case of Diagram D in the graphs of expectation of life and measure of vitality straight lines were drawn in the first monthly interval, but for Diagram D in the graphs of number of survivors and monthly rate of mortality the straight line in the first month was replaced in each case by a curve, and for Diagram A in the annual rate of mortality the straight line for the first year was also replaced by a curve. To this end it was necessary to determine a few points on these curves by computing approximate monthly rates of mortality beginning with the first few days of life and each of the first few weeks of life and also the approximate annual rates of mortality by months under 1 year of age. The mortality statistics given in Table 129 were employed, after being adjusted graphically so as to leave the total number of deaths unchanged. Table 129.- -Additional Mortality Statistics Used in Dkawing Graphs. ORIGINAL REGISTRATION STATES, 1910-1911. BOSTON, CHICAGO, NEW YORK CITY, AND REGISTRATION AREA OF 1910 AGE. PHILADELPHIA, 1910-1911. AGE. DURING 1910. Origi- Ad- Origi- Ad- Origi- Ad- nal. justed. nal. justed. nal. justed. MALES. BOTH SEXES. Days. Months. 8,691 8,771 2,664 2,829 58,089 58,089 1 4,125 4,025 1,572 1,332 1 15,223 15,223 2 2,390 2,550 910 895 2 12,923 12,923 3-6 4,776 4,286 1,882 1,912 3 11,358 11,398 Weeks. 4 5 9,828 8,618 9,913 8,753 1 4,194 4,784 1,798 1,978 2 3,500 3,170 1,568 1,508 6 8,198 7,848 3 2, 7S.5 2,875 1,232 1,202 7 6,969 7,129 Month. 8 6,604 6,534 1 30, 461 30, 461 11,656 11,656 9 10 11 5,955 5,273 5,335 5,980 5,433 5,060 FEMALES. 12 5,294 4,564 Bays. 13 3,638 4,138 6,266 6,566 2,049 2,169 14 3,448 3,728 1 3,085 2, 5SS 1,214 1,059 15 3, 147 3,327 2 1,675 1,895 690 655 16 2, 7S.5 2,985 3-6 3,607 3,287 1,447 1,457 17 18 2,505 3,083 2,680 2,463 Weeks. 19 2,098 2,183 1 3,140 3,720 1,350 1,470 20 2,043 1,988 2 2,775 2,395 1,161 1,086 21 1,683 1,783 3 2,215 2,315 1,016 1,031 22 23 1,711 1,645 1,706 1,625 Month. Under 2 1 22, 763 22, 763 8,927 S,927 years 1S7,4.:3 187, 453 GRAPHS FOR INFANCY. 365 The number of deaths under 1 month as given in the life table was divided approximately into deaths during each of the first three days of life and during each of the first four weeks of life by assuming that they were proportional to the number of adjusted deaths in Table 129 for the same age intervals. In order to obtain the number of deaths for corresponding intervals during the second month of life, the number of deaths during the second month of life, as given by the life table, was divided by 4 to obtain the average number per week, and then this quotient was divided by 7 to determine the average number per day. Where the quotients were not whole numbers the remainders were taken up by increasing the deaths during each of the earlier periods by unity. From these values it was possible to obtain the approximate number of deaths during each of the months beginning with each of the first three days of life and with each of the first four weeks of life, respectively, and also to find the approx- imate number of survivors to each of these age inter- vals. From these numbers of deaths and survivors approximate monthly rates of mortality were com- puted. The adjusted numbers of deaths by months in the second year of life given in Table 129 were used to divide by proportion the deaths during the second year of life, as given by the life table, into deaths by months. From these numbers of deaths during each month in the second year of life and from the deaths by months under 1 year of age, as given by the life table, the approximate numbers of deaths were obtained for the years beginning with each month under 1 year of age, and these were employed, together with the table of survivors given in the life table, to compute the approximate annual rates of mortality for each month under 1 year of age. The adjusted deaths for Boston, Chicago, New York City, and Philadelphia during the first three days, and the first four weeks of life in 1910 and 1911, were used in a similar manner in drawing the graphs for whites in cities of the original registration states in 1901 and 1910. Part VII DESCRIPTION OF CALCULATION OF LIFE TABLE FOR MALES IN THE STATE OF NEW YORK, 1910, INCLUDING PHOTOGRAPHS OF GRAPHS, DIAGRAMS, AND ADDING-MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS. TABULAR OUTLINE FOR CONSTRUCTION OF EACH LIFE TABLE. (367) Part VII.— DESCRIPTION OF CALCULATION OF LIFE TABLE FOR MALES IN THE STATE OF NEW YORK, 1910, INCLUDING PHOTOGRAPHS OF GRAPHS, DIAGRAMS, AND ADDING-MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS. DESCRIPTIVE TEXT AND PHOTOGRAPHED TAPES. 133. The object of this part of the text is to give a detailed account of the actual processes of calculation used in the construction of a typical life table. There are many students and others interested in vital statistics who do not understand the mathematical theory and formulas developed in Part VI who would like to know how a life table is calculated. It is quite possible to present the work of calculation in such manner that one need not necessarily be an actuary to follow the steps. The method of procedure in this part is to divide the work into a number of distinct steps and to describe each one of these steps in detail in the text. The actual process of carrying out the work on the adding machine or otherwise is shown by means of photographs of graphs, diagrams, and adding-machine tapes used in connection with the numerical calculations. The number of the section in the text in which the process is described is as- signed to the corresponding tape which appears in the photograph. These numbers are shown above and to the left of the tapes, graphs, or diagrams to which they are assigned in such large heavy figures that they can be readily detected. For example, 220, above and to the left of a tape on page 403, means that the descrip- tion of this tape will be found in section 220, page 402. On the other hand, the text leads to the correct tape in the photograph by direct reference. For example, if the numerical process exhibited on tape 150 is referred to in the text, it is understood that the reader will turn to this particular tape, which can be found easily by its number. The pages of photographs contain a graph and several diagrams used in the process of constructing life tables; they are numbered consecu- tively with the tapes. For the convenience of the reader the description of these calculations is so dis- tributed that the photographs of the tapes generally face the page on which their descriptions appear. The process of copying values, either from the tapes or from computing machines, in Table 56 on page 162, of course, has no tape, graph, or diagram connected with it. Sections 237-239 and 244-249 describe this work. See page 10 of the table of contents. Numerous devices and short cuts to facilitate the work on the adding machine are explained in the text and illustrated on the tapes. Particular attention is called to the methods of checking the work. The checks are designated by 150822°— 21 24 small circles inclosing the same number and placed beside the results which check each other. SPECIAL METHODS USED IN CONSTRUCTION OF SOME LIFE TABLES. 134. It is shown in Part VIII that the original sta- tistics upon which life tables are based are far from uniform — in fact, that they are presented in seven different types or forms. This means that it was not possible to apply one and the same process to construct every life table. In order to meet variations from the standard or typical form of construction illustrated by the life table for males in the state of New York, 1910, and described in this part, it was necessary to devise other methods. Where these methods are not obvious they have been described in this part, the description following that of the construction of the above- mentioned table. For example, where the infant mortality curve did not join smoothly with the osculatory fifth difference curve it was necessary to effect a smooth junction, and the process used, as illustrated in the table for white females in cities of the original registration states, 1901, is described in this part. The same remark applies to the junction of the osculatory fifth difference curve with the Wittstein old-age curve in the table for males in the state of New York, 1910. In the calculation of the mean population for the 1901-1910 tables it was also necessary to employ methods not used in the other tables. The method of calculating the mean population is illustrated in this part by reproducing the work on the life table for white females in the original registration states, 1901- 1910. EXTRA INFORMATION NEEDED FOR CONSTRUCTION OF EACH LIFE TABLE. 135. As stated above, on account of the variety of forms in which the original statistics are given, it was not possible to employ the same methods in computing the rates of mortality for every table. To supply the actuary with all the information necessary to repro- duce the rates of mortality for any of the life tables, a tabular outline was prepared, showing for each table the different processes used and the ages and sources of the population or death statistics or rates of mor- tality to which these processes were applied. This outline, Table 135, is given on pages 416 to 419. (369) 370 UNITED STATES LIFE TABLES. The C's in column 3 indicate that the computed number of births was used instead of the number of births registered, R. Column 4 shows the quinquen- nial age groups of the original data to which the oscu- latory formula was applied. Beginning with column 5, the words original statistics and the tape numbers cor- responding to sections in the description of the calcu- lation of various parts of the life table are given at the heads of the columns. These headings indicate the sources of the population or death statistics or rates of mortality for the ages named in the table, which are used for the purpose named in the main heading of the group of columns. Thus, whenever the smoothing process described in sections 250 to 263 was employed to effect smooth junctions at early ages, columns 5 to 10 show the ages and sources of the population, death statistics, and the rates of mortality to which this process was applied; columns 12 and 13 show the ages and sources of the rates of mortality upon which the Wittstein constants were based; columns 14 to 16 show the ages and sources of rates of mortality which were smoothed by Spencer's 21-term formula; and finally, columns 17 to 22 show the ages and sources of the rates of mortality upon which the life table was constructed. ADJUSTMENT FOR DEATHS BY MONTHS UNDER 1 TEAR OF AGE. 136. When the reported deaths by months under 1 year of age are plotted as shown in the broken curve marked reported deaths on Graph 136, page 371, they show an excess of deaths at ages 6 months and 9 months, and a corresponding decrease at ages 5 and 10 months. To smooth out this roughness, an equiv- alent curve, marked adjusted deaths, was drawn graphically in such manner that the total of adjusted deaths was equal to the total of reported deaths. Deaths during the first month of life were not plotted because they were out of proportion to those in the other months; also, those during the second month of life were entered but left unchanged. In the table in the upper right-hand corner of Graph 136 are shown the reported deaths by months under 1 year of age; the adjusted values of these; the difference between the reported and adjusted number of deaths at each age; the per cent which this differ- ence bears to the number of reported deaths; and in the last column to the right is shown the number of adjusted deaths at each month of age when the sum of the deaths under 1 year is reduced to 10,000. DETERMINATION OF POPULATION USED IN CALCULATION OF NUMBER OF BIRTHS AND OF ANNUAL RATES OF MORTALITY UNDER 5 YEARS AND OF MONTHLY RATES OF MORTALITY UNDER 1 YEAR. 137. The population at each year of age was as- sumed to progress geometrically after July 1, 1900, according to the ratio determined from the popula- tion on this date and that on July 1, 1910. The populations on both these July 1 dates were estimated arithmetically from the enumerated populations of April 15, 1910, and June 1, 1900. The ratio r is therefore expressed by means of the equation 10 _ 1910-July-lFj 1900-July-lPz (78) and the population y years after July 1, 1900, by the equation (1900-July-l)+s/Pa; = J* 1900-July-lPz. The ages x are entered on the left of the tape, the values for 1910-Juiy-iPx in the middle and those for i9oo-Juiy-iPi on the right. The 1910 values were copied from column 2 of Table 159, page 450, and the 1900 values from column 7 of Table 181, page 472. The adding machine was split between banks 16-17 and 8-9. 138. The characteristic of log 97,764, or 4, was entered in bank 9 and immediately to the right of it the mantissa, which was taken from Vega's seven place logarithm tables, so that the first bank was left vacant and was automatically filled with a zero. Beneath this is entered the complement of log 80,771, giving a subtotal .0829235, which is log r 10 . Throughout these calculations the process of sub- tracting by adding the complement of the number to be subtracted is used. In order to carry away the extra unit thus obtained on the left in the remainder, the complement is always preceded by 9's to the last bank on the left, or to the split on the left. Also, throughout these calculations the decimal point in a series of additions is often indicated by a vertical line between the two banks where the decimal point should occur. The vertical line is also used to cross out the extra units obtained in subtracting by adding complements, but the use to which the line is put can be readily distinguished. If the decimal point is moved one place to the left, this log r 10 becomes log r, or the logarithm of the yearly ratio of increase. This .00829235 was set up and repeated twice, making three times in all; then half of it was set up in unit's place and again in ten's place, thus adding the logarithm of the ratio of 8.5 years' increase; then log 80,771, whose complement was entered above, is added one space to the left to conform with the change of decimal point mentioned above. This subtotal is log i808-December-3iPs:, as indicated by the 1908 on the left side of the tape. The machine is split between banks 13 and 14. Then log r is added again, giving log i909-December-3iPa; as subtotal, while the 1 added in bank 14 changes the date to 1909. This process was repeated until log i9i3-December-3iPz was obtained. Then this work was checked by set- ting up log i9io-Juiy-iPz and adding to it log r re- peated three times and then one-half log r, so that the total is log i9i3-December-3iPz, which agrees with that obtained above, as indicated by the mark ®. GRAPH 136 ■tsoo INFANT MORTALITY. NUMBER OF DEATHS BY MONTHS UNDER 1 YEAR ADJUSTED GRAPHICALLY 371 x $ m o u. o cc tu CD z> z 2500 2000 1500 \ Reported deaths. Adjusted less reported deaths. Percentage of adjusted less reported to reported deaths. Adjusted deaths \ months.^ deaths. reduced to sum of 10,000. \ 1 2 3 4 5 6 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7 8 8-9 9-10 10-11 11-12 Total 16,404 4,449 3,571 3,045 2,671 2,383 2,272 2,038 1,939 1,849 1,580 1,642 43,843 16,404 4,449 3,715 3,151 2,740 2,424 2,168 1,978 1,835 1,729 1,650 1,600 43,843 T Per cent. 0.00 0.00 4.03 3.48 2.58 1.72 4.58 2.94 5.36 6.49 4.43 2.56 3,742 1,015 847 719 625 553 494 451 419 394 376 365 10,000 144 106 69 41 70 430 104 30 104 120 42 430 -t Ss\ >* \ X h \vi s- \ ^ \ 5 e A6E IN MONTHS This symbol, a figure within a circle, will be used to point out identical results by different processes, thus forming a check on the work. It is unnecessary to use them where the operator is familiar with the processes; also the ages need be set down in only a very few cases, but they have been entered nearly everywhere in this description to aid the reader. Only logarithms for age are obtained here, those for the other ages being obtained by the same process. 139. The antilogarithms of the logarithms which were obtained by the process indicated in tape 138, for all the ages and calendar years needed in the fol- lowing computations, are entered here, those for 1908 and 1911 being set in parallel columns, as explained in section 143. Below these are the values for 1909 and 1910, and next those for 1912 and 1913, the machine being split as in tape 137. CALCULATION OF NUMBER OF BIRTHS. 140. This work is shown in Diagram 15 and de- scribed fully in section 106, page 338. The deaths are taken from Table 159, page 450, columns 3, 4, 5, and bottom of page. 141. This work is shown in Diagram 17, page 341. The factors at the top of the diagram are set forth in Table 109 and are described in section 109, page 340. The populations shown on the diagonal lines in this diagram were obtained from tape 139 above, and their purpose is fully described in section 109. 142. The additions necessary to obtain the number of births for any calendar year and for the three-year period 1909 to 1911 are explained in section 110, page 342. The additions finally used are shown here. On the left are shown the additions to obtain the num- ber of births in 1909 from population aged 4-5 and on 372 UNITED STATES LIFE TABLES. the right those to obtain the number of births in 1910 from population aged 3-4. Below the 1909 additions are those to obtain the number of births in 1911 from population aged 2-3, while to the right of this the three totals are summed to obtain the total number of births in the three-} r ear period 1909-1911. CALCULATION OF ANNUAL RATES OF MORTALITY UNDER 5 YEARS AND MONTHLY RATES UNDER 1 YEAR. 143. The results shown in tapes 143 to 146 are obtained in detail in Tables 111 and 112, page 343, respectively, and full explanation is given in sections 111 and 112, pages 342 and 343. The calculations are here adapted to a computer using machine. The machine is split between banks 16-17, 9-10, and 3-4. The differences 1911-December-3lPz _ WOS-December-SlPx; as obtained mentally from tape 139, are entered in banks 10 to 13. One-half these differences are entered in banks 4 to 7, the .5, where the number is odd, being entered in the last column to the right. The ages are entered in bank 17. Beneath the totals of these columns the sum of the 1908 values on the left of tape 139 is subtracted from the sum of the 1911 values on the right, while the total sum of the \h x is repeated twice on the right. As indicated by the © mark, the totals agree in each case, thus affording a check on the work of subtraction and division. 144. As explained in section 112, page 343, since -fa of 5,601=466+9/12, 5' x 12) for the first nine months was taken as 467 and for the last three months as 466. Accordingly, £5<, 12 > is taken as 234 and J (a™ +«£?!) as 467 for the next nine months, since (467+466)/2 was set equal to 467; then \ (5 = 16,404, and a subtotal taken. This process was repeated until 467 had been subtracted nine times, or until the number of deaths during the monthly age interval 8-9, D£ 12) = 1,835, was subtracted. Then 466 was subtracted both with D£ 12) and with D£, 2> - This gave the exposed to risk for each of the twelve months of life under 1 year. To obtain a similar value for the year 1-2, the remainder of 8 or |5ft 2) from tape 144 and deaths during twelfth month D£ 2) = 1,600 were sub- tracted, and then $5 t = 2,449 from tape 143, giving the subtotal 294,770. Then from this subtotal were subtracted 2,449 and 2,984 from tape 143 and T> 1 and a subtotal taken, from which were subtracted 2,983, 2,355, and D 2 , and so on. When \8 X ended in .5 it was increased by unity the first time it was subtracted but not the second time. The total of the values 5 X subtracted in tape 145 would equal 24,874—1,849 + 1. The +1 is due to i5£ 2) and KSs 12) +^ 12> ) each being increased by .5. Then the adding-machine paper was rolled back to the beginning of tape 145, and on the right side, oppo- site the subtotals on the left, the deaths by months un- der 1 year from column 3 of the table in the upper right-hand corner of Graph 136 and those for ages 1 to 4 years from column 6 of Table 159, page 450, were set down and a subtotal taken at the end. All these deaths except those during the 4-5 year, 1,723, were sub- tracted on the left side of tape 145. Accordingly, 1,723 was subtracted from this subtotal, 62,342; also the quantity 24,874 less 1,849, from tape 143, and plus 1 were added, and a subtotal taken. This subtotal is the sum of all quantities subtracted from the left of tape 145, since all the deaths except those for age 4-5 and all the 8 X in tape 143 except the last half of S 4 were subtracted. As explained in section 144, the 1 is due to taking 467/2=234 and (467 + 466)/2 =467. The complement of this subtotal was set up and repeated twice and to this E from tape 142 was added. The total is the same as that obtained on the left of tape 145 as indicated by the mark ®. At the same time the deaths were being entered on the right side of tape 145 the ages were entered in banks 8 and 9. 146. Then each D£ 12) in tape 145 was divided by the E'j 12 ' — £5i 12) opposite, and the quotient to the nearest sixth decimal place was set down on the left side of tape 146, while on the right side its comple- ment was entered, thus giving lO 6 ^ 12 ' and 10 6 p!i 12 ', respectively. The machine was split between banks 10-11 and 6-7. A check on the lO 6 ^ is that the sums of lO 6 *^ and 10 6 p x should be complements. OSCULATORY INTERPOLATION.' 147. As stated in section 131 on page 364, the oscu- latory interpolation formula was applied to the popu- lation and deaths summed in groups 4-8, 9-13, and so on. The machine was split between banks 1 A short method of constructing abridged life tables will be found in the Supplement to the Seventy-fifth Annual Report of the Registrar-General of England and Wales, Part I, Life Tables, pp. 26-33. INFANT MORTALITY. 373 CALCULATION OP THE LIFE TABLE FOE MALES IN THE STATE OF NEW YORK: 1910 PHOTOGRAPHS OF DIAGRAMS AND ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS 137 19 10 Zc 19,00 * O 1 2 3 4 97 76 4 86 619 9422 9 90 718 86876 80,771 7 1,7 4 7 6, 3 7 6, 3 4 75,381 138 9999 lo9n ? o 1908 1 1909 1 1910 1 1911 1 1 913 1 t 99 01 7, 900 999950937 4, 450 82 92,350s 8 2 9 2350 8 2 9 2, 3 5 4 14 6, 175 4146 1, 750 90725 5, 500 97 7 74 0,47 5 3 82 92,350 986 032,835s 6293,350 994 325, 175s e 3 92,350 02-6 17,535s . 8292,350 01090 9, 875s 82 92,350 1913 © 5 1910 1 1 1 1913 ® 5 019 202,225* 9 90 17 9,0 00 83 92,350 82 92,350 8 2 9 2, 3 5 4 146,175 O 1 9 3 0>3. 2 2 5* 139 x o i 2 3 19 OB Pj 19,11 * 95004 84205 91293 86394 85 046 1 0, 6 5 8 9, 1 3 9 7, 2 6 O 9 3,10 3 88,745 443942 468,816* 1909 .96835 1913 19,10 » 98,702 8 7, 4 3 9 1 90798 8 99334 10 1,4 53 3 94728 9 6, 382 4 90014 91,300 140 141 Facto 19 09 1049 42 66 20 07 1227 700 5 9 4 377 385 32 91300 1116 6 6 1911 10109 36 49 1728 12 19 6 9 3 10145 3 119 05 Numbar of Births 143 x o 1 2 3 1,910! 1 0, 9 6 8 3,9 31 1,7 6 6 1,3 01 669 613 418 9 6, 3 8 2 1 1 5, 9 4 8 * 1909 To 1911 » 1 1 1, 6 6 6 115,943 1 1 9, 5 t-3 4 6, 6 6 4 * 5^ iS x 5601 280 0, 5 4698 244 9, 5967 296 3, 5 4709 235 4, 5 3699 184 9, 5 ©34874 1243 5, 2 Oft 468816 99556058 © 24674 144 12,437 12,4 3 7 2 4, 97 4* id? 1 +&?>,) jtc —2 3 4 467 467 467 467 2102 3102 3,970 4 67 467 467 466 167 „ 466 4 6 7*'.' -2 3 3 3970 5, 6 3 * 145 -i*i 346664 99 976 6 346430 99953 3 9 8359 6 3 29559 999533 995551 3 24 64 3 99 95 3 3 9 962 8 5 3 2046 1 99 953 3 996649 3 168 4 3 99 9533 9 9736 16,404s 3 13636 99 9533 9975 76 310 745 999533 997332 3 08110 99 95 3 3 998032 3 05663 99 95 33 998165 3 03363 99 95 34 998271 301168 9 9 95 3-4 99835 29 9052 99 9767 9975 51 998400 2 94770 997551 997016 990083 2 7 9420 997017 997645 99S651 26 9733 997 646 998150 99749 263019 ® 4 1,723* 62,342 s 999 998,277 24,87 4 999998,151 6 3, 6 4 5 s 999916, 355 99991 6, 355 34'- 664 8 148 ■X AT, A (30 2, 1 6 8 s 1,97 8 s 4 9 14 19 24 414381 39 4 479 4,05619 453339 47 05 8 5,79 6 2,887 4,162 7,2 41 8,904 1,835 s 1,72 9 s 29 34 39 44 49 40 47 30 377846 32 4887 265517 2263 07 9,7 47 12,124 13,733 1 3, 8 1 9 13,6 5 8 1,6 50 s 54 59 64 69 74 16 105 9 12 107 6 90344 61511 36675 1 3, 3 1 4 14,03 9 14,312 13,705 11,8 22 1,600s 9,91? 3 79 84 89 94 99 104 109 17867 7203 2024 325 49 7 1 8,4 21 4,97 3 1,78 6 357 7 6 11 3 4,349 s 456206 6 2, 343 9999913123999 e, 277 1 2,510 3 146 47353 13500 11443 9833 6648 7729 6977 642 6003 5699 S479 53S0 33643 15564 9305 6551 199496 © 363,01911 * 953,648 986,500 988,557 9 9 0,167 991,352 992,271 9 9 3, 2 3 993,560 9 9 3, 9 9 7 994,301 9 9 4, 5 3 1 9 9 4, 6 5 966,357 9 8 4, 4 3 6 9 9 0,695 993,449 600,504* 147 x 86B76 63663 8 3357 8203 6 76 449 777 58 79 96 6 748 4 6 83 071 78818 39 4 479 1,72 3 1,3 4 4 1,098 885 746 637 567 567 5 66 550 2,887* 4605057 23 3, 498* 149 A' TV 41 4 1 A'Gt)* 99 960198 11140 47720 17241 99 93415 99973116 99 947041 99940630 99960790 9993475 3. 99960017 99969268 99971167 99 975164 99 961192 99 969 336 99 994821 99998301 99999724 99 9999 58 999999 9 4 1 150 A' TV 9 9900190 9 9 7, 9 1 1,275 3,07 9 1,6 6 3 643 2,377 599 96 839 9 9 9, 6 5 6 735 273 9 9 9, 3 9 3 9 9 8,117 9 9 6, 5 9 9 9 9 6, 5 5 2 9 9 6,813 9 9 8,571 9 9 9,719 999,935 999,991 A'OZUr ■ 9 97,0 9 1 - 30943 365 80 99969521 99 916909 38966 99973925 99 993585 20160 999739 62 25265 9251 1899 3997 6028 8144 5485 3480 1433 23 4 36 99999994 4,18 4 1,8 4 996,584 9 9 9,180 1,5 3 4 998,222 999,497 743 99e,817 1,069 9 99,5 48 999,120 99e,734 9 9 8, 4 8 2 999,953 261 1,758 1,148 216 56 999,991* 374 UNITED STATES LIFE TABLES. 15-16 and 7-8. The population and death statistics are on page 450, columns 2 and 6, respectively, of Table 159. Beginning with age 4, this number was set up in bank 16, then P 4 =86,876 in banks 8 and 12, and (3d) i =1,723 on the right. Since the deaths are for a three-year period, they are indicated by (3d) x in- stead of by d x . To these last two values those through age 8-9 were added, and a total taken. Immedi- ately below this, 9 was entered in bank 16 and the populations and deaths added from age 9-10 through age 13-14, and a total taken, and so on until the values for ages 109-113 had been added. The P 135 was not used. These additions are shown here for only age groups 4-8 and 9-13. 148. Then the totals obtained in tape 147 were copied in tape 148, a space being left after each fifth value and also after the last values, 1 and 2, respec- tively. To check these totals the values for ages to 3-4 years were added, as well as those beyond age 113-114. The first values were obtained by adding the totals of groups 0-4 from the left of tape 137 and from the right of tape 145, respectively, and then sub- tracting 86,876 and 1,723, respectively, the values for age 4. Also P 13(i =l was added. This gives for the total population 4,605,057 and for deaths 233,498, which agree with the totals at the top of columns 2 and 6, respectively, in Table 159, page 450. The machine was split between banks 15-16 and 7-8, the ages being entered in banks 16-17. The ages in tapes 149 to 153 are the same as in tape 148, except that one age group is lost at the end every time a column is dif- ferenced. Hence the last age group in tape 149 is 104-108; in tape 150, 99-103; and so on. 149. The formula used for osculatory interpolation requires the first five quinquennial differences of T x and (3l) x , and they are shown in tapes 148 to 152. To shorten the work of differencing and to increase its accuracy, all negative numbers were entered directly upon the adding machine, while only the com- plements of positive numbers were set up. Since all the ATj. and A(3l) x were negative, they were entered directly in tape 148. This does away with the neces- sity for using signs and reduces the whole process of differencing to the subtraction, arithmetically, of the upper value from the one immediately below it. This subtraction was done mentally and the results entered on the adding machine. When the lower number is less than the upper one, the lower number may be supposed to be increased by unity in the first space beyond the left of the machine or beyond the split at the left. Thus, in subtracting 414,281 from 394,479, the latter was treated as though it were 100,394,479, so that subtracting 414,281 from it gives 99,980,198; this last number is the complement of + 19,802 which would be obtained if +414,281 were added alge- braically to -394,479. In order to check the work of differencing as it is being done, the top value of the column being differ- enced was set down and a space taken between it and the first differences. Then when the first difference is set down the total appearing through the glass at the base of the machine should be the lower number. For example, the two columns in tape 149 begin as follows : 414281 5796 999980198 997091 Then through the glass at the base of the machine should appear the lower numbers, 394479 1 2887 When the second set of differences have been put down: 414281 5796 999980198 11140 997091 1275 Then through the glass at the base of the machine should appear the lower numbers, 405619 1 4162 and so on. Thus by comparing the totals through the glass at the base of the machine with the lower num- bers in tape 148, after setting down each set of differ- ences, the operator can check his work as he goes along. The totals in tape 149 are 1 and 2, which are the last values in tape 148, and this is a check on the work, but not a complete one, since compensating errors would not alter the final result. After tape 149 is completed a pencil line is drawn through AT 4 and A(3Z) 4 to avoid confusing them with the A 2 T X and A 2 (3l) x , respectively. The machine was split between banks 9-10 and 6-7. 150-152. In the same way the first values of tape 149 were set up in tape 150, the machine spaced, and the differences of the values in tape 149 set up. As before, the operator can check his work after entering each set of differences. The totals in tape 150 are 9,999,994 and 9,999,991, which agree with the last values in tape 149. In the same way tape 151 is obtained from tape 150, and tape 152 from tape 151. The A 4 T 4 and A 4 (3Z) 4 at the top of tape 152 were subtracted at the end of this tape, so that the final totals are the sums of the fifth differences only. 153. As indicated in Table 115, page 347, the work is shortened by using .0016A 5 T X and .0016A 5 (3Z)j;. Accordingly the fifth differences in tape 152 are multiplied by 16 and the product set up on the adding machine in tape 153 in the columns headed 16A 6 T X and 16A 5 (3Z)j;. After each fifth value a subtotal was taken and a space left after each subtotal, so that these values might not be confused with the products themselves. At the end a total was taken. INFANT MORTALITY. 375 CALCULATION OF THE LIFE TABLE FOR MALES IN THE STATE OF NEW YORK: 1910 PHOTOGRAPHS OF DIAGRAMS AND ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS 137 19,00 « o 1 2 3 4 97 76 4 86 619 94229 90718 66876 8 0, 7 7 1 7 1, 7 4 76,500 7 6, 3 4 7 5,3 8.1 4562 06 3 8 0,4 9 6* 133 to?!?* 4 99 017, 9 00 9999999950937 4, 450 82 9 2.3503 82 92350 8 2 9 2, 3 5 4 146,17 5 4146 1, 750 90725 5, 500 1908 •1 190 9 1 1910 1 1911 1 1912 1 1913 © 5 97 7 74 0,4 7 5s 82 92,350 986 032,825s 8 2 9 2, 3 5 99432 5, 17 59 e 3 92,350 0026 17,525s 8 3 9 2, 3 5 01090 9, 8753 8 3 92,350 019202,2254 1913 © 5 1910 4 990179,000 1 8 2 9 2, 3 5 1 8292,350 1 8 2 9 2, 3 5 4 14 6,17 5 01930 2. 235* 133 140 1908 r x 19,11 « 95004 10 0, SOS 84305 8 9, 103 91293 9 7, 260 86394 9 3,10 3 85046 SB,745 1909 .96 83 5 9 6,708 67,439 19,13 90798 99334 101,4 53 9 4728 9 014 9 6, 3 8 3 91,300 © 24874 144 234 4 67 4 67 467 467 2102 3, 970 4 67 467 467 463 ««,.,» 465 4 6 7**,, —233 3970 5, 6 3* 145 -is«» 346 66 4 99 9768 346430 99 95 3 3 9 835 9 6 3 295 59 99 95 3 3 9955 51 3 34 64 3 99 95 3 3 9962 8 3 3 20 46 1 99 953 3 996849 3 168 4 3 99 953 3 9 97260 313634 313636 9995 3 3 9 975 76 310 745 99 95 33 997 832 3 081 10 99 95 3 3 996022 3 05663 99 95 33 998165 3 03363 99 95 34 998271 3 Oil 68 9 9 95 3 4 99835 2 99052 999767 997551 998400 Ex— 1£« 2 94770 997551 997016 990 083 27 9420 997017 9976 45 9 95651 26 9733 997646 998150 99749 263019 © 4 1,723* 6 2,342s 99 9 9 96,27 7 2 4, 6 7 4 999 9 9 8, 151 1 8 3, 6 4 5 s 999916, 355 999916, 355 3 4 6, 6 6 4 Q) 2 6 3,019 * 9, 9 1 7 s 4,349s 2,510s 146 47352 135 00 11443 9833 86 48 7729 69 77 642 6003 5 699 5 479 53S0 336 43 15564 93 05 63 51 19949 6 147 # 9 5 2, 6 4 8 9 8 6, 5 988,557 9 9 0, 1 6 7 991,352 992,271 993,023 993,580 9 9 3, 9 9 7 994,301 9 9 4, 5 2 1 9 9 4, 6 5 io 'A 966,357 9 8 4, 4 3 6 9 9 0,695 9 9 3,4 49 8 0,5 4* (*<*)* 86876 83 66 3 83257 82036 78 449 1,723 1,3 4 4 1,09 8 885 746 414281 5,7 9 6* 777 56 79986 748 46 83 071 78818 637 567 567 566 550 39 4 479 3,867* 148 4 9 1 4 19 3 4 29 3 4 39 4 4 49 5 4 59 64 69 74 79 84 89 94 99 104 109 AT. 414281 394 479 405619 453 339 47 05 80 40 47 30 377846 32 4887 265517 22 63 07 161059 121076 90344 615 11 36675 17867 72 03 2 024 325 49 7 1 A (34* 5,79 6 2,887 4;163 7,241 8,904 9,7 47 12,124 1 2, 7 3 3 12,8 19 13,6 5 8; 13,314 14,03 9 14,312 13,705 11,8 22 8,421 4,97 3 1,78 6 357 76 11 2 456206 6 2, 343 9999913123999 8, 277 1 4605057 23 3,4 98* 149 • 4140 1 5,79 6 9998 0198 11 140 47720 173 41 9993 415 99973116 99947041 99 94063 9996079 99 934752 9.9 960 017 . 99969 268 99971167 99 975164 99 981192 99969336 99 994821 99 998301 99 99972 4 99999956 99999994 1 150 99900190 9 9 7, 9 1 1,27 5 3,07 9 1,6 6 3 843 • 2,377 599 96 839 9 9 9, 6 5 6 735 273 9 9 9, 3 9 3 9 9 e, 117 9 9 6, 5 9 9 9 9 6, 5 5 2 9 9 6, 8 1 3 9 9 6,571 9 9 9, 7 1 9 9 9 9, 9 3 5 9 9 9, 9 9 1 t 9 9 7, 9 1 309 42 36 58 9 9 969 521 99 916909 38966 99 973925 99 9935 89 20160 999739 62 25265 9251 189 9 3997 6 028 8144 548S 3480 1423 23 4 36 99999 994 4,184 1,8 4 9 9 6, 5 8 4 9 9 9,180 1,5 3 4 998,282 9 9 9, 4 9 7 743 99&B17 1,069 999,548 9 9 9,120 9 9 8, 7 2 4 998,482 9 9 9,953 261 1,758 1.14B £16 56 969,991* 376 UNITED STATES LIFE TABLES. Then the totals of the fifth differences in tape 152 were set once in unit's place, once in ten's place, and then one-half these totals once in ten's place, giving as sum 16 times these totals. As indicated by the mark ©, these totals agree with those obtained just above. If they do not agree the error can be located approxi- mately as follows: Fasten back the platen so that the tape may not be marred. Then mentally sub- tract the first difference in tape 151 from the middle value, that is, 5,638 from 99,992,648, setting the difference down on the adding machine, thus: 99,987,010 99,870,100 which gives 99,792,160, 99,935,050 and should be the second subtotal in tape 153. If it did not agree with this second subtotal, that would indicate that the error was above the second subtotal, so that 16 times (19,664-5,638) from tape 151 would be found in the same way and compared with the first subtotal in tape 153. INTERPOLATION BY CONTINUOUS ADDITION. 154. As stated on page 346, the work of interpola- tion was carried out by continuous addition with cor- rected fifth differences. In order to start these addi- tions the leading unit differences of the youngest age, that is, age 4, were required. Equations (42) for these leading unit differences, page 347, are copied as equa- tions (79) in a slightly different order without fractions and in terms of T 4 instead of y 4 . In this table A 4 T 4 , A 3 T 4 , A 2 T 4 , and AT 4 each head the column in which are written its coefficients in the four equations given below. For example, 10 4 5 3 T 4 = -96A 4 T 4 + 80A 3 T 4 . Equations (79) Leading unit differences. A«=iC^ 96507088 468 0, 0489 99 933941 ■ * 98835696 156 0, 016 99947388 3 4 75,360 98835696 15 6 0, 016 123057 9993 4959 2,354 996,688 9 90 098,560 14852,160 94178480 7800,0809 98635696 156 0, 016 19 664 26571 1,87 5 1,3 4 6 742fi,080 6985824 90 639,904 99 953802 99ft074 ■ 14852,160* . 513 03 2,352 * 99 98398 6 998,479 9 92 07 9,300 99 9926 48 999,372. 15 84 1,600 X-44 X =49 138,393 2 09 8 2031 999,604 9 9 9, 7 5 8 99207 9, 200 X*=9 9 8922928 2 116 1,471 308 : ! & 9 6922926 138592 99997 341 # + 1 96922938 13 8,592 999979 9 5 1,49 7 9 9 9,390 9 9 9, 6 8 J 967 6676.4 415,776 9 99 997943 »9 9988 11 * 999 4 5 8,752 2 4 7 5, 3 6 /■* 98922926 98923928 1 3 8, 5 9 2 13 8,592 99999802 3 6 1 999,8 40 : 56» loV't,^. : 193 4, 112* » 94614640 9 8922 92 8 6 92,960s 13 8,592 152 1 44 3,3 28 99009 8, 560 6462432 9S 168,449 A'T, A'OiW s 99207 9, 200 - * ~ r i n io'j't; __ 98362 1, 088* -6 -9 PTr^-il©- * 99810 5, 632 X = S4 X = S9 99 937 303 144 47 174 6 69 996139 02 847 05 9 9 9, 1 6 2,8 16 2,758 9 9 4, 3 3 4 4,587 155 14 852,160 1 5 84 1,6 00 83 856 2,000 85736 1, 392* 13 12 00 15 12 00 15 12 00 45 3 6 001 15 12 00 99998,928 99 998,923 99 998,928 9999 6, 7849 99 998,928 69 07 9 9 9, 9 7 1 15 12 00 99 998,938 99937231 97501 99932 683 9 9 6, 8 2 8 4,178 996,227 * 99996 8, 288 9 99 952,432 75 6 000 15 12 00 199 994,6403 9 9 996,9 38 8662 1,09 3 4 7,5 68 1 5, 8 5 6 157 990 928 00 6,4 32 9430 32 I • 99999 93 3 83 '99995225 154 1,7 13 998,837 15,8 5 6 Multiples of 16 ^T^ : « X=4 X - 9 X = 64 x ~es 65 4 1,18 9 99998 0, 976 * • 99 93 3,600 9 9 9 3 3,6 00 9992 3, 600 99999 9 48 868 991 9 9 7, 8 9 3 9 9 9,678 772 99992 3, 904 ■999 98 0, 976 2 9, 2 6 4 98836848 331,152 98836848 231,152 98836848 331,153 1360 1360 1360 9 9 99 4 3 6,2 -2,380 99996 0, 976 99992 3, 904 96510344 693,456a 98836 848 33 1,153 408 p, 1360 i9977 0,6 00s 99 923,600 99994164 1 2,220* ! » 98836848 331,152 136 99 923,600 153 113,8 40 6 83,040 1 2 5 2, 2 4 9.4184840 1155,760s 98836848 231,153 6800' 1360 199 618,0003 99 923,600 t6A'T x \6£f{il) x _ 2 049,120* 6 978913 9 8 6 1 3, 08 8 99 9918 40 456,400 98836848 9 6 6,5 60 # « ( • 231153 6 1,05 6 999 320,400 27947 04 2 3,123 994 56 3,200 97006432 909,344 I - 14 X = 19 X = 74 Z= 79 1335280 73,392 99933 0. 400 # 224416 ; 5 8,48 9 ; 99330 4, 000* 27947 04 27947 04 97006,432 97 006,432 104 6 4 104 6 4 9999 9, 168 99 999,168 110512 999,536 27947 04 9700 6, 432 10464 9999 9, 168 98835696 9 4 9,2 48' 8 3 8 4 112,' J 9 1 019,296 s- 31392! 19999 7, 504s 15 6 016 9892292 8 1'3 8 5 9 3 6 6,8 49 9 3 9, 6 3 2 17,488 * 99996 8, 288 27 947 4 27947 04 97006,432 9700 6, 432 10464 10464 9999 9, 168 99 9 99, 16 8 99792160 : 3 1,232 s [0' J ^*^^^*^^'~-?*^' 96507 088 46 80,048 a 99 93 2941 9 9 6, 7 g -' » +3r--"""\^ y ~>+*t> 98835696 156 0, 016 99947388 596 3 4 7 5, 3 6 98835696 156 0, 016 123057 9993 4959 2,354 9 9 6, 6 8 B 99009 e, 560 14 853,160 94178480 7300,080s S v. 98835696 156 0, 016 19664 26571 1,27 5 1,2 4 6 7425,080 s -^ 698S824 90639,904 99 95 3 802 99S074 ■ 14 852,160* 513 03 2,252 * 99 98398 6 998,479 99207 9, 300 99 993 6 48 9?9,S72. 15 84 1,60 X = -4-4 X =-4-9 30 9 8. 9 9 9,604 992 07 9, 300 r=« * 2031 9 9 9, 7 5 8 98933928 1 39,592 2 116 1,4 7 1 J • n 98922928 138,392 99997 341 308 +i 98922928 13 3,393 99997995 1,4 9 7' J 967 6 878.4 4 15,776 8 99997943 9 9 9,390 99 9 4 5 8, 7 52 3 4 7 5, 3 6 / +i* 98923938 1 3 8, 5 9 3 99 9988 11 99999802 9 9 9, 6 8 9 9 9, 8 4 98933938 13 8,5 93 io'^'x, _„ '■■ 193 4, 112* * 946146 40 693,960s 3 6 1 5S» 9893293 8 13 8,593 152 A'W* n 1 44 3,3 38 99009 8, 560 99207 9, 200 6462432 99168,449 * ** r "i n io*<* t t; _^ 983 62 1,088* --9 97, C H'Q- * 99810 5, 632 / / ' X = SA X=-S9 69937 303 9.9 9,16 1 4 352,160 1584 1, 600 13 1200 99998,938 144.47 17 4 6 6 9 3,816 2,7 58 32 B562,000 15 13 00 15 13 00 9999 8, 938 99 998,938 99813902 8 47 05 9 9 4, 3 3 4 4,5 87 I0 4 *T 4 — 857361,392* 43 3 6 00! S9999 6, 784.8 155 15 1200 99 998,938 69 07 9 9 9, 9 7 1 1512 00 9999 8, 938 99 927331 9 96,8 38 « 99996 8, 386 99 9 9 5 2,4 3 3 9 7501 4, 17 6 -t> 75 6 000 199 994,6 409 99932 6 83 996,237 151200 99 998,928 6662 1,09 3 47,568 1 5, 8 5 6 J57 990 92600 6,432 9450 32 9 9999933 8'5 154 1,7 13 15,8 5 6 Multiples of i6A*Ti < • '9 9995325 654 9 9 8, 8 3 7 1,189 ' 99 9 9 8 0,97 6 X =4 X - 9 * X = 64 X -69 9993 3, 600 99 933,600 9993 3, 600 99999948 868 991 9 9 7, 8 9 3 9 9 9,678 773 99992 3, 904 999 98 0, 976 2 9, 2 6 4 9S836848 331,153 98836843 331,153 96836848 331,153 1360 1360 1360 9 9 9 9 4 3 6.3 9 9 9941.54 •2,360 I 2,3 2 0* J 99 9 98 0, 97 6 99992 3, 904 * 96510544 693,456s 98836843 331,153 9BS36848 331,152 4080: 136 1360 !99 770,8009 99 933,600 9993 3, 600 153 i 113,8 40 6 8 3, 4 1 2 5 2, 2 4 9.4 18 4 2 4 115 5,760 s 98836848 331,152 68 00 1360 199 618,0009 9 9 92 3,6 00 16 A' T x I6A S (3Z).,. 2 049,120* 6 9 7 8 9 12 98613, 088 99991340 498,400 98836 8 48 9 6 6, 5 6 * • 331153 6 1,05 6 999 32 0,400 ' 9 27947 04 3 8, 1 2 8 99456 3, 200 97006 432 1355280 9 9, 3 4 4 7 3,3 9 3 999 3 2 0.400 x = 14 X . 19 jr = 74. C=Z9 • 99 999,168 9999 9, 168 ■234416 % 5 8, 4 8 3 : 99320 4, 00 0» 27947 04 2794704 97006,432 97 006J433 1046 4 104 64 110512 9 9 9, 5 3 6 379 4 7 4 9700 6, 433 10464 9999 9, 168 9 8835696. 1560016 9893392 8 1'3 8 5 9 2 949,348 6 6, 8 43 ' 9 3 9, 6 3 3 1 7, 4 8 8 * 99996 8, 388 8384113! 27 947 04 ! 27947 04 J91019,296s- 9700 6,433 9700 6, 432 313921 1046 4 1046 4 !99 997,504 e 9999 9, 168 9999 9, 168 $9792160 I 31,23 2 s (0 < tf"T„-^: 99998 0,97 6 99 9 94 9,2 6 4*© 1 3 973520 27947 04 V85 032,1:60 s 9700 6, 433 52330, 104 6 4 9 9 995,8 40s 9999 9, 168 15 12 99 998 93 8 512 2,464 * 999 952,432 83331776 17 96 1,408' 9 9 937216 4,992 1360 -9S9236O0 3 7, 4 8 9 8 1, 3 9 3 999 92 3, 904 1 1 3, 8 4 i • ( • 104 64 19,03 4 . , 99877712 ( 62,033 3 10 V T„ _^- : . 999 9 9 0.17 6*© X -24 X = 29 * X = 84 X =B4 99999 168 S 13 8 8 8 ! 15856 9 6 6, 3 8 8 994,8 48 13,352 4 7,5 68 999 98 0, 976 6 8 3, 4 9 99320,4 1355380 1355380 13552 80 110,513 110,512 110,512 1388 8 1383 8 1388 8 * 15,856 15,836 15,85 6 99906624 © 1 35,5209 iov«t„ -,! 3 1,9 8 4*© 1 5, 8 5 S 40 658 40 13 5 5 2 8 13553 8 331,536s 11*518 110,512 4166 4 1388 8 1388 8 4 7, 5 6 8 9 15,85 6 1 5, 8 5 6 99994164 99941640 2,3 20 2A300 3 9, 2 6 4 1 3 5 3, 2 4 99456 3, 300 6 7 76400 1355280 553,560s 110,512 69 44 1388 8 7 9,23 s 15,856 99970830 11,100 4 04 8,000 9 1868320 99 336,9 28 99916673 99 904,864 99906624 © 35,530* 10V T„ -»-. 8 8,5 60* © I ; • 380 UNITED STATES LIFE TABLES. Since 5% +1 = 5% + 5%, the column of 5% was obtained by continued addition of the successive 5%, a subtotal being taken after the addition of each unit fifth difference. 10 4 5*T 4 , 90,208, computed in tape 154, begins the column of 10*5% in tape 158 which is derived by continuous addition of the suc- cessive values of 10*5%. The remainder of section 158 explains how these successive values of 10*5% are obtained from tape 157. To learn the mechanical processes necessary to obtain tape 158 from tape 157 it is necessary to study only — (1) Table 130 in connection with tape 157. (2) Diagram 158, page 382, in connection with Table 130 and Diagram 156, page 377. (3) Diagram 158 in connection with tape 158. (4 ) Tape 1 5 7 in connection with Diagram 1 56 and tape 158, assuming that tape 157 ends with the ages 94 and 99, for which the products are all zeros, just as those for x = 4 — 10 and x = 9 — 10 in Table 130 were all zeros. For convenience of reference the right side of Table 115, page 347, is copied with some changes as equations (81). The variable T is used instead of y; the ages x— 10, x — 5, x, x + 1, x + 2, etc., to x + 5, instead of n, n + 1, 7i + 2, n + 2.2, n + 2.4, etc., to n + 3.0, and the fractions eliminated. Equations (81) Unit fifth differences. 16A6Tx-io 16A'Ti_s WA*Tx 10'JsTi +5 lOWTx+i +3 +1 IO^Ti+j -6 lOWTj+3 -6 lOWTa-H +1 +3 lOWTz+s +5 Equations (81) give the equations for the unit fifth differences from 10*5% to 10*5% +5 , which are the five 10*5% necessary to pass from one quinquennial age group to another in the continuous addition in tape 158. The 16A%_ 10 and 16A%_ 5 , which will be obtained from tape 157, each head a column in which are written its coefficients in the six equations (81). It will be noted that those two factors are for ages 10 and 5 years younger, respectively, than the quin- quennial age group in which the unit fifth differences of this table occur. According to tape 148 the leading quinquennial differences of T are for ages 4, 9, 14, and so on. To find the equation for the unit fifth difference of T at any age, the quinquennial age group in which the age occurs is first noted. For example, in finding the equation for the unit fifth difference of T 7 it is first noted that 7 occurs in the quinquennial age group 4 — 8 and 7 = 4 + 3. Then 4 is substituted for x in the expressions at the head of columns 2 and 3 in equations (81) and also in the expression 10 4 5% +3 , so that 10*5% =4+3 = (0) (16A%_ 10 ) + ( - 6) (16A%_ 5=9 _ 10 ) . Again, 10 4 5% 3 =10*5% +4 =(+l)(16A%_ 10 )+(+3)(16A%_ 5=4 ) and 10*S% 5 =10*5% 4+1 =(+3) (16A% 4 _ 10=4 ) + (+l) (16A% 4 _ 5=9 ). In order to obtain rapidly the successive 10*5% from the products in tape 157, Table 130 should be studied. The ages are at the top of this table and any number in the table is the product of the 16A%; whose age x is at the head of the column and of the corresponding factor on the same line in the first column <5n the left. The order of these factors in the first column on the left is the same as that of the products in tape 157, the numbers in this table being taken from that tape. Hence, learning to pick out the successive 10*5% from this table will enable one to obtain them rapidly from tape 157. Table 130 PRODUCTS or 16A 5 Ti FOR Z=4 — 10, 9—10, 4, 9, 14, AND 19, BY the factors +1, + 3, +5, AND —6. FACTORS. PRODUCTS OF 16A 5 T X COPIED FROM TAPE 157. 1=4-10 1=9-10 1=4 1=9 1=14 1=19 +1 +3 +5 -6 98836848 231152 2794704 97006432 96510544 693456 8384112 91019296 94184240 1155760 13973520 85032160 6978912 98613088 83231776 17961408 Note. — The age is at the head of the column in which the product occurs, while the other factor is in the first column of Table 130 on the same line with the product. Since the interpolated values of T from ages 4 to 13 were determined from a constant fourth difference formula according to section 116, page 347, the fifth unit differences from ages 4 to 9, both inclusive, must be zero, or, in other words, the fourth unit differences from ages 4 to 10, both inclusive, are constant. In Table 130 this fact is indicated by two columns of zeros corresponding to the ages 4 — 10 and 9 — 10. These ages are used because from equations (81) it will be seen that the fifth unit differences from 10*5% to 10*5% =4+4 would be obtained from 16A%_ 10 and 16A%_ 5 _ 9 _ 10 , which equal zero, according to Table 130. Hence all these five unit fifth differences are equal to zero. The equations and values for the unit fifth differences of T x for ages 9 to 14 are shown in Table 131. On the left side of Table 131, under the caption "From equations (81)," are shown equations (81) with 9 substituted for x. On the right side, under the caption "From Table 130," are the products from Table 130 which correspond to the two members on the right side of each of these equations. Thus 10*5% = +5(16A%_ 10 ) +0(16A%_ B „ 4 ) according to equations (81) and = 0+0 according to Table 130. OSCULATORY INTERPOLATION— POPULATION. 381 CALCULATION OF THE LIFE TABLE FOR MALES IN THE STATE OF NEW YORK: 1910 PHOTOGRAPHS OF ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS . t 646160B :i > 267588 : 43 4 1.7 61 , 158 331536 98635636 9999892 8 4050 ,169 998406754 31 47 5 4X03 3 6 S .7 6 I0 4 S * T x . "998133S2S 99336928 4 1 2 9 7 .7 6 8 6 8.00 3 998840950 8 9 3 6 ] 5120163 999964256 9 2.0 8 :. H99150320B \- > 3 6 5 .7 6 8 10+4 •'T* :■ 998 93 43501 6 4 6 15 - 2 47 6 2.7 2 8 9 2.0 8 a 6985824 4 05 * 99995609 6 90 20 8a 902.0 8S :. I 61361.448 999236. 1934112 9 2 8 : 59993807208 999813352 " 3 ' 43 235 81 9 2.0 8 a 110512 > 199964 256B 414 4.9 6 9 2 .0 3 a 9 2.0 B a 9630705 8 999916X0 202 4 3208 90 2.0 8 ■■ 6999394 1128 999150320 ; 8466548 988368X 8 .'. ) 27337.44a '. .99 956 05 6e 186 656 989270.56a 94178450 4 S 6 4 .0 21145288 90 2.0 8 ■■ 99834 44328 61361X4 ■ 103 3520S 3 1969322241 .. 3 414 45 68 9998046. 5 6 989270.5 66 9630705 8 13.60 220473 68 ■ 8 46805. 7 68 69789.1 2 13600.16 997706. 90 2.0 8 27537X4 < 83 8 1.7 6 s 999S85920 . 590 59.6 8 a ! .949993 28a .. 1 1866568 22949X48 . 1 74343208 , 965105/44 6 98 582 4 99618000 9 2.0 8 99693,2224 !i 4240968 4 4320 3 2416512s 3 3 1985132a .. 199804656s 2385 15. 2B . 9 4366 5X41 941842.40 906399. 4 997708O0 10 45 4 90 2.0 8 994999328 31 46841 6s 99998153 6 !966007S2» ! 392625056a 24753508 . 99993608. 7 21 96 510 5 A A 9863 569 6 . 99385920a 9 2.0 6 1 98 6 152 (i 4499328 231152 46800X8 4 3 8 4 .0 999 93652 8 933424J81 '. 1961408. 09 . '■' 44320a 236556 88 998927036 1! 1 13510241 992625056 V 386450B 6978912 780005 99937216 9999888X8 3 2 1 3 .6 a i 1 39408508 ' 39998133 61 1492624a 998927056 1! 09939760501 9961408O0 8 37532 33 9 8 613 0.8 8 46800X8 999236. 19 4 3 96 922928 31352 i 41965 8 1! 1.9901168501 969344,488 S905958 3 94 85 8 39 4 73 6 s 988358/18 3 1 754 3856B t t 999365281 999936624 693456 906399. 4 32320 1 632364 8a 2416512 13 .9940577501 7 3 4 3 856 19 3313508 198 464 7 5-2 a :! :198183750a t t 999886X81 999961616 11557.60 64S2432 3 133)3 99999158 8 7421501 996600752 1! 1! 16016161 998183750 10 3129. 7 68 i996203121 i 4646152a 999969554 693456 1360016 t i 1940S! 53429128 1! 119997633. 7 61 1:. 2825508 99996S424 2 7 9 4 7 .0 4 9676875 4 99937216 9 9334 2 4 A a 4648 152 3 10 8 6.7 2a 2 ' 29749521 .t ! 999366248 998689350 a i 1 4431558a »ll 24795 4 8 999976616 98 613 08 8 94614 6X0 4952 321350 3974952 1 17217J0I ; ■'9738963 28 i ! 9996161 6s 9990067201 3 1 740633508 S 3 23 17.7 6 9676875 4 13835 2 10454 99997S04 99893 44X8 997589 63 2 ill £248008 999981SO 8 '849535369 997 94 115 8 1 > 4 4996 15 21 231152 ; 39449700 88 4 ! 9996955 48 998464752 99449 70 8 41 206 60 8 8 83 84 112 '935688O0S 2 6462432 !> 9S94X0B ! 999958X0 ( 999634248 19964059201 99962031 3 > 199 9 463 200 8 9394X0 999698450 4 3 10605 68 13973320 991684X 6 99997504 999 93 9312 1 7342320a : 127358a 13 85 a 19960264321 310 6 6.7 2 3 1 4526X01 137 85 8 t'S 444O0B 8384112 9892292 6 ! 19 9 976 8168 8 75 2 97006432 413 7.7 6 495 2 19991351. 4a 1721750 1! I 3805281 999466552 » i 5 315 2 8 (12 93 28.64 8 : 1994663528 ! 3999818. 88 6 5 2 .7 2 83 23 17.7 6 692950 9 9 916 6.7 2 8 5 6 8 5 4 8 98495353 6 13 • i 471201 13 953 2 16 1194248 1961646X08 :i 1595531 ! a 998934501 9999629X4 17961458 4137.7 6 13 12.0 9 9 9991.68 4 1664 '9 858104O0B 99336S8O0 1! > 2066.72a 723528 i ' 1023686 • 1141260/1 8a 9998676 .0 8 2794704 :i 725 32 8 8 : 3 99939312a 979379 2.0 OB > 93 3 2.0 1 479999901.761(1) 99 9 94 9254 9101925 6 991684X6 694X0 7342320 9998949. 7 6 ._ L 7 94 0.4 80 : .998949. 7 6a ! t 8752B 1986921320 a 1 7 8281.76a 85032140 99092800 4165 4 15856 12932354 9969677. 7 6 413 9999394X08 285X4 1939722081 :: 11989877.7 6B 1999654 35 48 1! ''9998159521 9101929 6 13 8552 ! ' 6 5 2.7 2 a 9961646X0 99957 9958 4 3 9 9 9 96795 4 8 13552.80 433600 999166. 7 2 1996019024a 1 8 9993959201 76 11 2 :. >85346 754s 1796140 8 :i 1: 99 57 99.6 88 736 00 1 • 999329X48 99904854 141260X8 1 10 14 5 0.72a 1 3 3 5 9 .6 8 • 899973 185 88 4:) 4 405 6 B 9999809. 7 6 :. J 330813 2B :i :i 3 3 59.6 8 a 31 3 998878. 081 79400X8 788456 5 ) 2 5 .7 2 a 9999809. 7 6 91868320 43360 1385 8 9999392 8 4735 8 1. I 18 06 5 12 B 2 9 52035 4a :. 39517651 21 97 006 43 2 1 78849 6a 11 39994 925 4l(j) 992 97 2 2.0 6 99988129 6 51 6 0X88 999995832 4 06 58X0 ] 990928. 7 9 250 . 110573281 985346 75 4 3 I) 401650B ■999387728 313 2 850s :. 19624 8 75 4 a : • 9968125 61 ! ( 285X4S 999996 83 2 67764.00 6 43 2 4 7 3 .6 8 :. .996404 11 2 8 3308 15 2 3 28940 8« 3 5 712 339^99997121 ;. 3 3 025 15 4 8 : 99887728a 31 6 76 112a 999996632 40638,40 110512 IS 12.0 99996 75 4 Jl 99904854 (999809. 7 6a :. . 9997123. 4B 995176512 : :. 3251206 30352 3119999965X48 999-9.9683 2 :. 1 7201536a 91868320 J 6 357128 999946X0 II 6999809. 7 6a 15 856 . 299 46888168 99624875 4 : 3 5 5 4 .7 2 8 2 8 4,5 6 i 4 9 9999 33.7 68 999996 832 :. i 9 906 983 6 e 99335928 j ' 30332B 9999675 4 1360 31 11 (19999683 2B 1199 99683 21 . 19911376. 08 3 025 154 : 383958B 34928 >33 999990 2.0 88 999995 83 2 ;. i98 405 75 41 135525 331336 1 2845 6a 6432 !i 31 3! li (199996 S3 2a (i 99996 8321 1199996 8328 (1999968321 199416275 48 7201336 1"3 6 4 3 2 s : : 4iBS96B 2 6 7 68 44566 4 8 3 6 999987 0.4 8 99999663 2 . ' 9 3 6.00a i 1 3 49288 | 699996 83 2» 999069856 2 9 7.7 6 579999838. 7 2* 5 5 2 5 .6 99 9918X0 :. 3? 4341.76a 3 4754X08 ' 64 6 15 s 1 26 75 8B 382 UNITED STATES LIFE TABLES. Table 131 UNIT FIFTH DIFFERENCES OF Tx FROM AGES 9 TO 14 IN TERMS OF 16A5TJ-W AND 16A6TiM5 = (. ^ FROM EQUATIONS (81). FROM TABLE 130. Unit fifth differences. 16A5T9_io 16A s T 9 -5=4 1=9-10 1=4 10 , 4 3 4, 1 7 6 4 158 3 31,536 t 98 33 5,6 96. . 2 6, 7 6fl s 9999 S, 920 4, Og 159 998406,784 i499884 0,94)0 3 > 4 7 5, 4 4 s 3 E, 5 7 6 loV'T, 99813,392s' 93UOO * r- 9 2 0b 9 9 3 3 6, 9 2 , 2 9,7763 .6, 3 (0 V Tj, i 998934, «S60S 312,016s 99996 4, 255 9.0-20B s 9915 0. 320s '-■41,160 90 200 3 9 0, 2 S s 9 C, 2 a S \ 6?55,62* , 6J36,1«! 3 6, 5 7 6 s 4, 08 99 92 3,600 1934,112 •lS;0i2 08 r 999 5 B 07209 999 813,3912 ! 4 7 6,272s 999956,096 9 0.200 5 1 10,5 12 202 4, 320s 199935 4, 112s 99915 0. 320 i 433,366 3 90 20S s S>8 8 1 6,3-43 9 6 5 07,06 3 , 9996 4, 256S 9 9 9 9 1,3 40 9 0,600 4 1 4, A 9 6 9 3 9 2 7, 0S&$ 9 E 9 2 7, S 6-s ' 275 3, 744s 5417 8, 480 35653 2, 224s 9995 6, 096 = 4 5 3,4 00 2 1.14,5 28 s 90.208 £204>736s 95654 4, 432s 6136144 1 846,864 s' 1 6 6, 6 5 6 i 103 3, 520s 69 7 3,9 12 9 6 5 5*, 8 1 56,6 016 ' 4 1 4, 4 9 6 1,360 9977 C, 300 9 0,203 4 6 30.576 3 2753,741 99 9 004,65 S 1 5905,958s 96 51 0.5 4 4 .9499 9, 323s 225 4, 944s 9 0,200 i 7 4 3 4, 3 2 S 3 3 e, 1 7 6 s 99958 5, 920 6 585,3 24 - 1 6 C, 5 a s 59 6 lg.CoO ;S96 93 2,234 : 241 6, 512s 9416 4, 240 ! 1 9 B j, 1 5 2 s 2 3 65,3.52 s a'asog 8475,360s 436 6, 5443 4 2 4, 9 6 s 4 4, 3 3 i 4, 56 6 00752 s 50639,904 9930 4, 656s 99 77 0-GuO 1 0. 4 6 4 95499 9, 328 4 6 6, 4 1 6 3 9551J)544 2-3 1,152 :92625,056s 9 6 .8 3 5, 6 9 6 . 5 2 3 9 9 9 5 6 5, 8 7 2 S, 1 963,130 95 9 98 1,53 6 i 9 3'3 4 2,4 43 s 6 57 3,9,12 4 6 8 0, 4 L 19614 0, 800s 99 5 8 5, 9 20 3 4 5 C. 4 0.0 2565.563.S 9*9 6 5 2 7,05 6 i 135 1, 0243 95262 5, 056 1 4 4 9,9 52 3 99993 6, 528 • '. .**' " 7 8 0, 6 _. 4 4, 3 S'.O S 9 9 9 3 7, 2 16 t 9 9-SZ 1,53 6 s 9992 3, 6U0 3 1,3 9 2 145 2, 624s 3 C 6, 4 6 s ',321,560s 9 9'e 92 7, 5 5 199397 6, 08 Os 999 98 8,8 48 9661i, 083 i . 394 0. 830s 996 1 4, 0, 8 U . 9 6 934, 4 46 s 9683 6, 343 4 6 6 0,0 40 9692 2, 926 ! 4 1 9, 6 3 3 5 9 5, 9 6 990116, 3603 3 9 4 p 3 8 i 3 7 5, 3 2 8 3 19,4 08 6 9 3,4 5 6 i 754 3, 856s ! 632 5, 648s S 3 9 4, 7 3 6 s , 9 6 464, 7'5 2 3 90639,904 , 999365 20 3 5 .?, 3 2 2416,512 99405 7, 760 S. 7 5 4 3, 8 5 6 99 995 6, 624 1155,760 19816 3, 760s ! C74 2, 160s , 3 5 1, 3 6 s , j99'620-512 s 6 4 6 2,4 3 2 9 9 9 6 3,0 40 S 3-1,3 5 2 .$96600732 16036165 9 5 8 1 83,7 6 99996.1,6 16 6 5 3,456 i 4 6 46, 19 2 s ,95 9 9 9, 1 6 3 5 3 42,912 s I 3 1'.?.97 6s 2 7 94,7 4 1560.016 9 9334 2, 443 999 *7, 8 5, 3763 4 6 4 6, 1 5 8 99996 9, 564 -i 9676 8, 764 1 5, 4 3 s < 3 1 8, 6 7 8 3 9 9 9 3 7, 2 1 5 95663 5, 3603 2 8 2, 5 6 s SE61j,068 ' 2974,992s 94614, 640 9 9 9 5'6,6 2 4's 4,9 9.2 3 2 1,3 6 4 4 3 1,6 66 3 2974,992 95996 5, 424 ' 172 1, 760s 199900 6, 720s ! 247,984 s 83 2 3 1,77 6 '97 589,632 s 96 7 6 S,7B'4 9 9 9 6 1,6" 16 3 99893 4, 440 • 7 406550s 9 5>7 5 6 9'6 3 2 99997 6, 816 '8495 3, 536S 13 6,592' 1 0, 4 6 4 .99794 1,160 3 S 2 2 4, 8 3 2 3 1, 1 5 2 6 3 64,112 19449 7, 008 s 9 9 9 9 7, 5 4 9SE46 4, 752 4.9 9 6, 19 2 3 99449 7, 008 999 58 1,8 OS 6 4 .6 2, 4 3 2 9996 9. 3643 99 99 5, 840 996405,929s 1 2 6, 6 08 s '9356 % 300s .5 5962051 2 1 ■ 9 99 4 9?, 200 s 99589 8, 480 13.97 3,520 1 95 9,4 40 s< 9 5 9, 4 4 9916 6, 448 19996 5, 424s 199602 6, 4327 4 5 2, 6 4 s 1 2 7, S 6 8 1 5, 6 3 3 i 754 2, 320s E 3 E 4, 1 1 2 ) 1 2 7, 8 8 3 s 9999 7, 504 1 3, 8 6 3 10 8,6 75 999 939,312 87006,435 9 6 9.2 2, 9 2 3 i 959 135, 10 4 3 5 00528 s 999 466.592 i 4 4, 4 3 112 9 3 2,8.6 4 s 4 1 5, 7 7 6 .99 97 6, 3153 4, 9 9 2 1 72 1,76 e, 752 6323 1, 776 09946 6, 592 s 8 5 6, 8 6 4 3 i 4 7,120s 159,552 1 5 3, 1 5 2 3 6 9.2/9 6 9 9 96 1,3 08 S 98495 3, 53S 6 6, 2 7 2 19616 4, 640S '99 916 672- 17 96 1,408 : 15 9,552s 9 65 8 10,4 00s i 1 1 9, 4 2 4 s 4 1 5, 7 7 6 199 89C, 460s 99356 6, 800 i 2 6, 6 7 2 s 99998 2, 944 * , 11412 6, 04S s 15 1,2 5 9 9 9 9, 1 6 S 7 2 6, 5 2 '8 2 7 9 4, 7 4 4 1,6 64 197937 9, 200s 1 2, 3 6 8 s 9101 9, 296 . 7 2 6,526 s 9916 6, 443 9993 9, 312s 7 5 4 2, 3 2 1 933,200 s 99939 4, 976 99988 7, 803 7 940, 48 s 6 5, 4 4 196692 1,5 203 99999 0,17 6:© 8 5 03.2,160 ■ . 5 9 C 9 A, 9 7 6 s 59.09 2, 3U0 0, 7 5 2 s 1293 2, 364 ' 8 2 & 17 6 3 99 6 96 7, 776 99994, 9, £64 i. .9297 2, 203 s 4 1,5 6 4 9S985 4, 3643 199993 9,4 40s 9 1 1 9. 2 9 6 119'6 587,776 s 1 5, 8 5 6 9 9 6 1 6 4, 6 4 "995315, 9523 2 e, 5 4 4 1 3 5 5, 2 1 3 >.', 5 9 2 99957 9, 966 45 i,600 6 6, £ 7 2 s 995JS672 ;ip96 015,024 3 199996 7,9 843 ■ . '. 8 5 3 4 6, 78 4 5 1412 6, 043 1199939 5, 9204 7 6, 1 1 2 1 7 9 6 1,4 08 ;:9957 9.963S 3 3 5, 9 6 3 .:. : ; 330 8, 192s J 9136 0,320 7 5 6, 00 : 335,96,6s 9 9'9G'S9 4 4 s 9990 4, 664 I 10 14 5, 072 s 7 54 C043 li 999 73 1,868 3 7 8 3, 4 9 6 1 4 4, 09 6 3 999 980,97 6 4 5 3,6 00 S S 8 8 7', 8 6 25 8 8 1,008 s 974 732,800 460061 3, 60 8 s 974 126,912- 5 74 7 4 0,72 s 972 671,344 $347 412,064 s 97 7 35 1,920 ^524 76 3,984 3 984 786,3 40 050955 6T3 243 969 15 2,784 49 8 703, 008 s 988518, 656 $-16722 1,664 s 96986 9, 680 477 091,344 s 98384 5, 760 . 460.93 7, 104s 9 73 9 6 2,640 43489 9,7 44s 968 03 0,400 40292 0, 14 4 s 969 622,016 372542,16 0s 9*940 7,392 341 949,552 s 9 73 8 3 8,9 60 31578 8, 5 12 s 98124 5, 520 4397 034,032 3 966 341,7 5,2 ^26337 3, 74 4 s 985 734,913 2 69 010,656 s 986 187,552 255 198,208 s 986 768,060 241 966,286 3 98681 3, 300 22876 1,4 88s 987 02 1,873 ■215 8 3,3 60 3 96 7 95 5, 07 2 20375 6, 432s 98876 3, 248 19254 1,6 80s 9 8 B^ 9 9,3 18114 0,880s 9 87 9 95, 13 116913 6, 000s '98 7 73 7,008 :.156 863,008 3 98834 7, 393 11145 110,400s 9 8 B€ 4 9, 07 3 $133 759,472 3 98 8 9 3 8,48 4138 6 97,952 3 989 263,600 lilll 9 6 1,5-52 3 9 89 6 19, 072 73 392 9955 9 64 8 999492 48 99949248 99949248 998477 4 4 99 9 49 2 48 999492 48 99746240 99 949 2 4 8 .r = 44 99939638 99939632 99939632 99 8188 9 6 999396 3 2 99 939 632 9 9 698160 99939632 512 513 513 153 6 512 512 25 60 5 12 99996928 274 08 2 74 03 2 74 08 6222 4 274 08 3 7408 15 70 4 2 74 08 99835552 19 024 19 024 19024 5 7072 19 024 1902 4 95 12 19 024 99865856 99994848 99994848 99994848 9998 45 4 4 99 99 48 4a 99994648 999742 40 99 994848 99 99 9, 536 9 9 999,5 3 6 9999 9, 536 9999 8, 608s 9999 9, 536 99 999,536 99 99 7, 680s 9999 9, 536 66,849 6 ,6, 6 4 8 6 6,8 49 8 0, 5 4 4 3 6 6, 8 4 8 6 6,8 48 3 3 4, 2 4 3 6 6, 8 48 99 5 98,9 12 1 7, 4 8 8 17,4 6 8 1 7, 4 8 8 52,464 s 1 7, 4 8 8 1 7, 4 8 8 8 7, 4 4 s 1 7, 4 8 8 99 8 95, 07 2 2,4 6 4 2,464 2,4 6 4 7, 3 9 2 s 2,464 2,4 6 4 1 2, 3 2 3 2,4 6 4 9998 5, 316 9 8 1,392 9 8 1,3 9 2 9 8 1, 3 9 2 944,176 s 98 1,393 961,392 9 6, 9 6 3 9 6 1,3 9? 9 6 6, 2 8 8 9 6 6, 2 8 3 9 6 6, 2 8 8 8 9 8, 8 6 4 s 9 6 6,288 9 6 6, 2 8 8 8 3 1,4 40 3 9 6 6. 2 8 6 12,353 1 2, 3 5 2 1 2, 3 5 2 37,056 s 12,3 52 1 2, 3 5 2 6 1,7 60 s 12,3 52 9992 5, 888 165 10*6* (3 Dv 99 96 1,980' 9 9 9 6 1,9 2 3 9 9 9 6 1,9 2 j 9 9 9 6 1,9 2 s 9996 1,920s 99 96 1,920 s 99 96 1,920 3 9998 6, 560 9 9 948,46 0s 9994 e, 4803 6 0,6 40 8 9, 1 3 3 9995 9, 680 99 988,800 s 9993 3, 800 9 9 9 2 1,6 3 99 95 9,680 6 J.,0 5 6 9994 2, 336s 8 0,6 40 2 2, 9 7 6 s 9963 3, 664 9965 6, 640s 9998 6, 560 1 8 3, 1 6 8 9982 6, 368 3 3 5, 2 8 131,6 43 3 163,163 2 8,12 8 3 4 2, 9 4 4 s 9963 3, 664 9 9 976, 6 08 3 99 83 1,232 99 8 7, 8 4 5 6 1, 5 6 84,384 99 95 3,2605 140,640 9 3, 9 2 3 84,36 4 9 9 9 9, 3 4 4 8 7, 6 48 3 99 83 1,232 99 918,860s 5 4 3,936 4 6 3,8 16 3 28,128 99 72 8, 032 2 18,97 6 3 9954 6, 730 9976 5, 696s 9 9 72 8, 032. 7 3, 3 9 2 9956 7, 130s 543,936 1 1 1, 5 6 3 9955 9, 648 9967 0, 704s 99 90 9, 344 3 2 0,17 6 9980 0, 2343 3 6 6, 9 6 167,184 s 2 2 0, 1 7 6 9999 9, 536 3 8 6, 8 9 6 3 99 55 9,6 4 3 9994 6, 544s 3,78 4 9994 9, 328s 7 3, 3 9 2 99 998,608 2 1, 3 2 8 s 9999 7, 680 19,008 3 9 9 99 99 99 8 99 19,008 s 998,608 9 4 9, 2 4 8 9 6 6, 8 6 4 s 2,784 9 6 9, 6 48 3 3 4, 5 13 2 7 4, 1 6 s 9 9 9, 5 3 6 4 7, 7 4 4 1 2 1, 4 4 3 7 4 6, 2 4 1986 7, 68O3 I 9 8 4 7, 7 4 4 6 6, 8 4 8 I 9 762,272 s 3 4,5 12 8 6, 7 6 4 3 I 9 5 9 8, 9 1 3 I96B5, 6963 19 949,24 8 2 0, 5 4 4 19 835,466 s 334,240 1 6 9, 7 2 8 3 2 0,0,5 4 4 ■ 9993 9, 632 3 9, 9 4 s 99 596,912 9990 8, 8163 3 62,206 271,024s 6 6, 8 4 8 9961 S, 896 1 5 6, 7 6 8 s 9969 8, 160 99 85 4,928 3 9981 3, 896 17,4 8 8 9969 1, 312s 362,208 5 3, 5 2 O s 9 9 8 95, 07 2 99 948,592 3 9993 9, 633 5 2,4 6 4 9 9 9 4 0,6 8 8 3 87,4 40 2e,128 s 5 2, 4 6 4 512 8 1,10 4 s 9 9 B 9 5, 07 2 99 976, 17 6 3 9 9 9 9 6, 9 2 8 9 9 97 3, 10 4 3 1 7, 4 8 8 1,5 3 6 99 992,128 3 2, 5 6-0 9 9 99 4, 688 s 1,5 3 6 2,464 99 9 9 8, 688 3 9999 6, 928 9999 5, 6163 9996 5, 216 99 98 0,8 33 3 512 7,3 9 2 9998 S, 7363 1 2, 3 2 1, 5 6 s 7,39 2 2 7, 4 8 3 5, 8 5 6 3 9996 5, 216 2 1, 7 2 3 9983 5, 552 9985 6, 624s 9985 6, 624s 2,4 6 4 8 2, 2 2 4- 9994 1, 312s 1 3 7, 4 7 8, 3 5 2 s 8 2, 2 2 4 9998 1, 392 14 1,9 68 s 9983 5, 553 9997 7, 530s 11 1,648 8 9, 1 6 8 s 2 7, 4 8 99 944,17 6 6 0, 7 5 2 s 9990 6, 960 9996 7, 7123 9 9 944, 176 1 9, 2 4 9 9 93 0,9 13 3 111,6 4 8 4 2, 5 6 8 9988 5, 856 9998 e, 4163 999B1.392 5 7,07 2 9996 6, 880s 9 5,12 6 2, s 5 7,07 2 9996 6, 288 8 5, 360 s 99 68 5, 856 9997 1, 2163 2 2, 2 7 2 1 7 3, 4 8 8 3 19.02 4 99 898,864 9 1, 3 7 6 3 9 9 63 1,44 9 9 922816 3 9989 8, 864 9 9 9 9 4,848 99616, 528 3 2 2, 2 7 2 1 8, 6 3 3 0,9 12 4 9, 7 12 s 9996 6, 288 9998 4, 544 5 44 s 9997 4, 240 .9 974,784 s 99 98 4, 544 12,352 9997 1, 6803 3 0, 9 1 2 2592 s 9992 5, 888 9992 8, 480s 99 99 4, 848 3 7, 5 6 ® 9996 0, 3843 6 1,7 6 2 2, 1 4 4 s 3 7, 5 6 5 9, 2 s 9992 5, 883 999 8 5, 088 s 9998 5, 088 s 12.3 52 9999 7, 440s 99 99 7, 440s 9999 7, 440s 9999 7, 440s 9999 7, 4403 9999 7, 440s 99 997,440* 166 io"(S J (3;>, 563,300 99 9 6 1,9 30 5 2 5,1208 99 96 1,9 20 4 8 7, 40 s 99 96 1,9 38 4 4 8, 9 6 s 99 96 1,930 4 1 0, 3 8 s 99 96 1,920 3 7 3, 8 3 99 96 1,930 3 3 4, 7 2 s 99 96 1,930 2 9 6, 6 4 s 9994 8, 480 2 4 5, 1 2 s 9994 8, 480 1 9 3, 6 s 2 9,12 2 2 2, 7 2 3 9 9 98 8, 800 3 11,52 s 99 92 1,600 1 3 3, 1 2 3 99 942,336 7 5, 4 5 6 3 2 297 6 9 8, 4 3 2 3 99656,640 9 9 75 5, 072 3 9982 6, 368 99 58 1,440 3 13 1,6 4 6 99713, 088s 3 42,944 5 6,032 3 9997 6, 608 32,6 40i 9980 7, 840 99 64 0,4 60 s 9995 3, 280 99 79 3, 7603 9 3,9 20 9 9 8 8-7,6 80 3 8 7, 6 4 8 99 975, 328 s 99918, 680 99894,208 s 4 6 2, 8 1 6 3 5 7, 2 4 s 2 1 8, 9 7 6 5 7 6, 3 9976 5, 696 3 4 1,696 I 9956 7, 130 9990 8, 816s 1 1 1, 5 6 1 9, 8 7 2 3 9967 0, 704 9969 0, 576s 9980 0, 224 9949 0, 800s 1 6 7, 1 8 4 9965 7, 984s 3 8 6, 8 9 6 44,660s 9994 6, 544 9 9 99 1,42 4 3 150822°— 21- 386 UNITED STATES LIFE TABLES. unit fifth difference takes 96,510,544 from that column and 231,152 from column x = 9. The above process was repeated until all the prod- ucts in tape 157, including two columns of zeros for ages x = 94 and x=99, just beyond ages x=84 and x=89, had been used. Because of these two columns of zeros the subtotal after the addition of + 1(16A 5 T 89 ), or 15,856, and + 3(16A 5 T 94 ), or 0, was repeated seven times altogether, indicating that the unit fourth difference for ages 90 to 96, both in- clusive, is a constant, or that T x for ages 90 to 99, both inclusive, were derived from a constant fourth difference formula. © marks 10 4 5 4 T 99 , which appears just before 10 4 5 5 T 99 or 10 4 5 5 T 9445 is added, and also © marks the first unit fourth difference in tape 155, to show that values of 10 4 5 4 T 99 obtained by the two methods are identical. 10 4 6 5 T 99 , according to the first of equations (81) on page 380, is+5 in #=89 in tape 157; hence 10*5^,,, appears just before it is added, or just above 79,280. The agreement of these two values marked © is a check on all the additions thus far. 159. The first quantity in tape 158 and all the subtotals which follow it form the lO^T^ which are needed to build up the 10 4 5 3 T :E in tape 159. Hence, starting with 10 4 5 3 T 4 from tape 154, or 1,934,112, the fourth unit difference, 90,208, is added seven times from tape 158, a subtotal being taken after each addition; then 98,927,056 is added and a subtotal taken, and so on until all the subtotals and the total in tape 158 are added. In order to carry the extra unit, obtained in subtracting by adding comple- ments, one bank farther to the left, another 9 was set down in bank 9 of tape 159 before all subtotals in tape 158 that had 9 in bank 8. © marks 10 4 5 3 T 99 in tape 159 and also in tape 155, showing that the results by the two processes agree, and thus checking the values in tape 159 up to this point. As 10 4 5 4 T 99 appears just before the addition of 10 4 5 5 T 9B , so 10 4 5 3 T 99 appears just above the addition of 10 4 5 4 T 99 , or 99,949,264, which is marked with © in tape 158. 160. In the same way lO^T^. is built by starting with 10 4 5 2 T 4 from tape 154, or 983,621,088, and add- ing 10 4 5 3 T 4 , or 1,934,112, at the beginning of tape 159, and taking a subtotal. Then the first subtotal in tape 159, or 2,024,320, is added and a subtotal taken, and so on until all the subtotals and the total in tape 159 are added. 10 4 5 2 T 99 is marked by ©, and it agrees with the value obtained in tape 155. 10 4 5 2 T 99 is easily found, since it is the subtotal just above the addition of 10 4 5 3 T 99 which is marked © in tape 159. 161. In the same way lO^Tj. is built up by starting with 857,361,392 from tape 154 and adding the 10 4 8 2 Tj. from tape 160. The value for age 99 is marked by ©, and is found to agree with the value obtained in tape 155. 162-168. The additions for the deaths are per- formed in exactly the same way as the additions for the populations in tapes 154 to 161. It was found convenient when copying the subtotals from the tape to throw it over a rack just back of the machine and use both hands in running the machine. However, the arrangement in tapes 162 and 163 is slightly different from that in tapes 154 and 155, since the products of the leading quinquennial differences of (3Z) 4 by the factors in equations (79) on page 376 are shown on the left of tape 162 and the leading unit differences of (3Z) 4 are shown on the left of tape 163, while the products of the leading quinquennial differ- ences (3Z) 99 by the factors in equations (80) on page 376 and the leading unit differences of (3Z) 99 are shown on the right of tapes 162 and 163, respectively. 169. The &T X or L x determined in tape 161 are all as of 1910-July-l, while the deaths, 8l x or d x , are for the three-year period 1909-1911. Hence they are written (3d) x . In order to determine q x =dj (L x + -5d x )t it was found convenient to write this formula q x = (3d)J(3L x +1.5d x ). The (3d) x are not all divisible by 3 exactly; hence approximate values of d x would have to be used if q x were computed from the first form of the equation. Also it was found that 3L X could be computed more quickly and accurately than i(3d)x> I0r L-n or lO^Tt from tape 161, was set up on the adding machine and repeated three times by means of the repeat key; then to this was added i(3d) x , or i of 10 4 8(3l) x from tape 168. This opera- tion is shown in tape 169. First the tapes 161 and 168 were laid off in groups of five with a pencil, as indicated on the tape. Then these two tapes were pinned together so that corre- sponding ages stood exactly opposite each other, and both tapes were placed over the rack at the back of the adding machine. In this way one could easily set up the consecutive L^ and add to each 3L X one-half the (3d) x for the same age. This division was performed mentally. In tape 169 this process is showo for only ten ages. Since in determining the rate of mortality at any age the number of deaths in tape 168 is the dividend and the number exposed to risk of death in tape 169 is the divisor, and both are carried to four places of deci- mals, no further attention need be given their places of decimals. While 10 4 appears at the head of tapes 170, 171, and 172, it is not used in describing these tapes. 170. The tape 169 was then marked off in groups of fives with a pencil, and the sums of 31u x +1.5d x =3^ were added in groups of five. Only two of these groups are shown in tape 170. 171. As a check on the work determining 3l x and also on all the work by osculatory interpolation up to this point, 3AT a . + 1.5A(3Z) a; was found for each oC the ages shown in tape 148. Each sum in tape 170 is marked with a numeral surrounded by a circle, and OSCULATORY INTERPOLATION— DEATHS. 387 CALCULATION OP THE LIFE TABLE FOR MALES IN THE STATE OF NEW YORK: 1910 PHOTOGRAPHS OF ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS 9999 1, 424s 9 9 9 4 9,3 38 99 9 4 0,7 52 s 2 1,3 3 8 99 962,0803 ■ 19,008 99981, 088s 99 966,864 9994 7, 952s 9J96 9.648 99917, 600s 2 74,160 191,760 s 12 1,440 3 13,200s 9986 7, 680 16 0,8 8 s, 9 9 7 8 2, 27 2 ■9996 3, 152s 6 6, 7 8 4 4 9, 9 3 6 s 9968 5, 696 9973 5, 6323 99 83 5, 488 9957 1, 1.20s 1 6 9, 7 2 8 99 7 4 0,8 48 s 5 9,9 4 5 0,752 s $9 90 e, 816 9995 9, 568s 2 7 1, 2 4 2 3 0,5 92 s 156,768 3 8 7, 3 6 s 99 85 4,9 28 2 42,268 3 99 6 9 1,312 9993 3, 600s 5 3, 5 2 9 9 98 7, 120 s 9 9 9 4 8,592 9993 5, 7123 9 9 94 0,688 9987 6, 400i 2 8,128 99 904,520 s 8 1,10 4 9998 5, 632s 99 976, 17 6 99 961,808 3 9997 3, 104 9993 4, 912s 99 992,128 99 92 7, 040s 99 994,688 9992 1, 728 s 9999e,S88 99 92 0,416 3 9999 5, 616 99916, 033s 9998 0, 832 9989 6, 864 s 9998 8, 736 9988 5, 600s 1,0 5 6 9988 6, 6563 35,85 6 99 922,512 s 2 1, 7 2 9994 3, 584s 9935 6, 624 '9 9 800,208 s 9 9 94 1,312 9 9 7 4 1,520 s 9 9 7 41,92 a 7 8, 3 5'3 9981 9, 872s 1 4 1,9 6 8 99. 9 6 1, 840s 9997 7, 520 9993 9, 360s 8 9, 1 6 8 28,5293 6 0, 7 5 2 89,380s 9996 7, 713 5 6, 9 9 2 s 99 93 0,912 9998 7, 904s 42,560 3 0,4 6 4 s 99 928,416 9995 8, 8803 99 96 6, 880 9992 5, 7603 6 2, 9996 7, 760s 8 5, 3 6 73,120s 99 97 1,216 4 4, 3 3 6 s 1 7 3, 4 8 8 2 1 7, 8 2 4 s 9 1,3 7 6 3 9, 2 s 99 92 2, 316 332,0161 99816, 528 4 8,5 44 s 1 e, 8 6 7, 3 4 4 3 4 9, 7 1 2 1 1 7, 5 6 s 544 1 1 7, 6 s 9 9974,288. 9 2, 3 8 4 s 99 971,6 8 6 4, 6 4 3 2,592 6 6, 6 5 6 3 99988,480 ® 99 9 93, 13 6 3 9996 0, 384 99 955,5203 2 2,144 9997 7, 6643 5 9, 2 3 6, B 6 4 3 9 9 9 6 5, 08 8 2 1,9 52 s 9998 5, 088 7, 4 8 9999 7, 440 4, 4 8 s 99 99 7, 440 1, 9 2 s 9999 7, 440 9,9 9 99, 360 3 9999 7, 440 99 99 6, 800s 9999 7, 440 9999 4, 240s 9 9 99 7, 440 99 99 1, 680s 9999 7, 440 99 98 9, 120ft 167 I0 4 99948,840 3 5 4 5 3,113 3 19986 5, 840 35 3 17,9 5 2-s 5 7, 6 35 3 7 5, 5 52 s 3 7 0,600 2574 6, 3533 5 5 1,6 8 36 3 9 8, 03 3 3 5 1 4, 8 3 3 36813,8 64s 564,768 2737 7, 632s 3 0,4 00 2 7 6 76, 032 3 999 871,320 27549,553 s 999 613,368 3 7 16 1,9 30 8 99966 3, 120 2633 5, 0403 999 62268B 36 4 47,72 8 3 99985 3, 280 36 3 01,008 3 340,640 36 54 1,6 48 3 482,928 27 034,576 3 4 1 6, 5 3 8 37441,104 3 4 3, 6 4 8 2784 4, 752s 3 3 9, 3 6 23 184,113 s 315,760 2839 9, 872s 12 0,2 8 8 ■ 3 8 5 3 0, 1 6 s 1 5, 9 3 2 8 63 6, 080 s 6 7,72 8 386 93,809 3 3,640 28 6 96,443 3 999 929,680 28 626,12 8 s 999 85 1,408 2 8 4 7 7, 5 3 6 s 9 99 77 1,8 2 4 2824 9,360s 999 6 8 7,8 5 6 2 7 9 3.7,216 3 999584,720 2 7 5 3 1,9 3 6 s 999 470,3 3 36 993,356 s 99935 6, 976 2 6 3 4 9, 2 3 2 s 9 9 9 3 7 9,4 8 8 2562 8, 720s 999 32 3, 07 2 2 4 65 1,79 2 3 99902 3, 280 2 3 875, 072 3 998764,800 2363 9, 873s 3263 9, 8723 985B4.672 2133 4, 5443 9854 6, 513 1977 1, 056s 98 483,87 3 1835 6, 928 s 98 514,400 1677 1, 328 3 19860 3, 680 1 5 3 75, 08 s 198 6 6 0,67 2 1 4 3 5, 6 8 8 '98 643,5 76 12 6 84,256 3 '9867 9, 040 1136 3, 2963 '9863 7, 930 10 001,216 3 "96563,680 856 4, 8963 99 8 55 1,4 40 7 1 1 6, 3 3 6 3 99862 4, 560 5 740896 8 99866 e, 896 440 9, 792s 99888 6, 720 3 2 96, 512 8 99919 5, 920 2 492,432 3 99 9 43 7,93 6 1 9 2 0, 3 68 8 999 4 7 6,480 1 3 9 6, 8 43 3 99954 3, 834 9 4 0,6 7 3 3 999 66 0,8 8 6 1,5 53 3 ' 999 778,480 3 8 0,03 2 3 9 9 9 3 7 0,3 6 4 2 5 0,8 9 6 8 999 934,928 © 1 3 5, 8 2 4 s 1,5 8 4 187,408 s 99999 6, 730 184,128 s 999 95 3,240 13 6, 3 63 a 99993 9, 90 4' 6 6,37 3 3' 99996 6, 768 3 3,040 3 999 988,730 3 1,760 s 99999 5, 760 1 7, 5 3 3 240 1 7, 7 6 3 2,160 19,9 20 s 1,5 2 2 1,4 40 8 99999 8, 320 1 9, 7 6 s 99999 2, 560 12,330 3 999 984,340 999996,5608 999 97 3,3'6 99996 9, 92 q»_ 388 UNITED STATES LIFE TABLES. this same symbol is placed before the sum in tape 171 which should agree with it. As stated before, these marks are merely for the convenience of the reader and are not used in the computations. 172. For convenience in determining q x the values in tape 168, or (2>d) x , were added in groups of five and three spaces left between each group so as to corre- spond to the sums (3l) x in tape 170. The two tapes were pinned together so that populations and deaths for corresponding ages stood opposite each other, and then placed so that they could be conveniently read by the operator of the calculating machine on which the values of q x = (Sd)J {3L X + 1.5d x ) were determined to the nearest sixth decimal place. The sums of the (3d) x from tape 16S in groups of five should equal the A (3^)^ for corresponding ages on the right of tape 148, and this serves as a check on the copying in tape 172. 173. Then each 10" (3^ in tape 172 was divided by the corresponding 10 4 (3Z)j; in tape 170 and the quotient to the nearest sixth decimal place was entered on the left of tape 173 under the caption lO 6 ^. As in tape 146, 10"^ was entered on the left of the machine and 10 6 p^ on the right, the machine being split between banks 10-11 and 6-7. After the values for age 9 were entered a subtotal was taken as a check on the work, as the subtotals of these two columns should be complementary. This was repeated after each group of five values. After the entry of the first value, that is, for age 4, the machine was spaced by adding 5 in bank 7 to indicate the first age in the following group of five values. Then the addition of each lO 6 ^ in the next group increased the number in bank 7 by unity, so that age 10 appears in banks 7-8 in the next subtotal, thus indicating the first age in the next group. In this way the ages were recorded automatically and exactly until about age 65, when the values of 10 6 p x have become so small that they do not always in- crease the number in bank 7 by unity. KATES OF MORTALITY AT OLDER AGES DETERMINED FROM POPU- LATIONS AND DEATHS GRADUATED FROM THE ORIGINAL STA- TISTICS GROUPED IN ALL FIVE QUINQUENNIAL AGE GROUPS. 174. On the left of this tape are shown the popu- lations from age 80 to age 114, summed in all five possible quinquennial groups. On the right of the tape are shown the deaths added in the same way. The populations and deaths by single ages were ob- tained from page 450, columns 8 and 12, respectively, of Table 159. The column in the middle of tape 174 shows the first age of each quinquennial group. For instance, 80 signifies that 15,543 is the sum of L x between ages 80 and 84, both inclusive, while 7,840 is the sum of the deaths for the same ages. Again, 81 indicates that 12,461 is the sum of the populations between ages 81 and 85, both inclusive, while 7,081 is the sum of the deaths between these ages. To obtain these three columns the machine was split between banks 6-7 and 10-11. The process of adding in all groups is as follows: First, the populations and deaths, ages 80 to 84, were added and a subtotal taken. Then 4,836 and 1,925, the values for age 80, were subtracted from the two subtotals, respectively, by setting up their com- plements preceded by nines, and 1,754 and 1,166, respectively, the values for age 85, were added and subtotals taken; these subtotals are the sums of the quinquennial groups aged 81 to 85, as indicated by the 81 in the middle column. In the same way the sums of the groups aged 82 to 86 were obtained by sub- tracting the values for age 81 and adding the values for age 86 and taking a subtotal. This process was repeated until the sums for the age group 110 to 114 were obtained, when a total was taken. As a check on this work the sums of the groups aged 110 to 114 were added independently. These totals agree with those obtained above, as indicated by the mark ©. The populations and deaths on the tape were then checked back to those in columns 8 and 12, respectively, of Table 159, from which they were copied. The middle column, indicating the age groups, was obtained by setting up 8 in bank 8 while the platen is back, so that it does not appear until the first subtotal is taken. Since the machine is split be- tween banks 6-7, a zero appears in bank 7, and this column is increased by unity after each subtraction when one is carried over to bank 7 from the nines. 175. The results in tape 174 were next arranged so that the sums of the same group followed one another according to ages, that is, group 80-84 was followed by 85-89, and that by 90-94", while the group 81-85 was followed by 86-90, and so on. This was necessary in order to perform the required differencing. Since the equations (46) and (47) on page 349 call for .2AT a , .008A 3 Ts_ 5 , .2A(3l) x , and .008A 3 (3l) x -. 5 , it was found convenient in tape 175 to set down — 2 AT.,, and -2A(3l) x instead of just -AT^ and -A(3l) x . The multiplication by two was performed mentally. As in tape 174, the population is on the left of the tape and the deaths on the right, the machine being split between banks 6-7 and 11-12. 176. This is merely a summation of the — AT.,, and the — (3Z)j, in tape 174. It is used for checking pur- poses, and begins with age 85 instead of with age 80, for reasons explained in section 183. When age 105 is reached a subtotal is taken, and then ages 80 to 84 and ages 106 to 110 are added before a second sub- total is taken, which is then set up on the machine and added, giving for totals twice the sums of the columns. As indicated by the marks @, these agree with the totals in tape 175 and afford a check upon that work. 177. Equations (46) and (47) on page 349 require only the first and third differences, and, since the latter is the second difference of the former, it can be obtained correctly by reversing the usual process of differencing, that is, by subtracting AT I+5 from AT T and A 2 Tj; +5 from A'-Tj, instead of subtracting AT X from AT I+5 and A 2 T X AVERAGED RATES OF MORTALITY— ADVANCED AGES. 389 CALCULATION OF THE LIFE TABLE FOR MALES IN THE STATE OF NEW YORK: 1910 PHOTOGRAPHS OP ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS 169 x (70 9 10 0,-1 13 13 •71 i°*'&L Jt +jr3 2 9,17 6* n 13600 30,200 1016 ft 3 7 6 9 5 442 * < * 997040 999 7, 400 5 6 100 8 34656 61 8,6 6 4 10 16 10 2 105 14 2 234 40 5332 10 24 1 3, 7 8 4 4,9 44 1,16 10640 100 17,600* * 9800 15, 200 1 u X o 668 182 3716 31086 © 15,680* ft 63352 2 8,5 52* * 998138 9998,372 7926 101 13, 472* I0 3 (3Z>„ I0 J (3J)« * * 15854 8 1 7,18 2 366 80 62 1 4, 1 3 6 * 36BS068 S3 0,5 6 8 87 719 5,016 175 9 2 11,6 9 6 6800 9,600 2961100 6 8 9, 3 3 6 15 80 1,5 7 3913 3,8 08 998720 999 e, 552 2239 392 5 3 9,664 2 72 33 4 660 752 V 16 B67-64 4 3 7, 3 6 8 "16 44 58864 3 0.392* 5520 -102 8,152* 130 244 8 3 4 3, 13 6 10 16 * 2600 6, 000 11877772 2 3 4 0,07 2 s 32840 63 14,232 998976 999 8, 840 92776 8 258,336 92 24922 @ 1 4, 1 6 2 « 1346 4 1 0,6 6 4 5 8 7 388 182,6 16 ' * 296 2,600 1576 103 A 840* 42 4376 132,304 14732 83 7,6 3 2 432 600 * 3 04376 9 1,9 3 6 55 6 2 4, 09 8 3 0' 4, 4 1919 56 62,216 116 4 1,17 4 4 969 6 3 8, 1 4 * 999320 9.999,243 18 6 222 * 14313 63 6 356 7, 480s 1 6 3 4 278 40 64 1 4, 6.4 1330 104 3,640* 1316 32 4 6, 8 3 2 97 11384 9,18 4 * 9093 3 34,456 4 10 1672 1,738 1600 2,800 6 14 6 22,792 283 • 448 999568 999 9, 393 4072 1 7, 6 21664 13,17 00 ft 413 84 2 5,42 4* V 1168 105 2, 192* 30520 1 3, 4 7 2 12 43 6 83 7,046 * 146 689 OO 370 2, 632s 42 2 6 3,4 9 1400 2,200 2063 6 8,152 102. 8 6 8 24 » .999712 999 9, 552 7 14 8 4,8 40 12 174 7 3864 ® 2 9,17 6 578 4 3,6 4 8 1 2 22 63353 3 8, 5 5 2 1112 106 1,752* 4 6 00 2,192 5 886 4 3 0,3 9S ft 42 13 1,7 5 2 4 6 4969 6 3 8, 1 4 1200 1,600 413 84 2 5, 4 2 4 999816 999 9, 736 1471136 3 7 2 3, 2 1 6 9 17658 11,564* 293160 14 1,6 46* 1016 107 1,33 6* „ 3716 (2l)l471 49 9 6 _ 1,33 6 107 g) 3 72 4,552* 392 UNITED STATES LIFE TABLES. The first two sums on the right side of this equation are obtained from the first subtotals in tape 176, or 22,882 and 19,331, respectively, while the last two sums are obtained from the totals at the end of tape 179, or 292,160 and 141,648, respectively. In order to multiply the two subtotals in tape 176 by 100 they are entered on the left and right sides of tape 183 ; respectively, in the hundreds column, the machine being split as in tape 182. Then to the quantity on the'left is added one-half of its value in the thousands column to obtain 600 times 22,882. The comple- ment of the last total on the left of tape 179, or 292,160, is repeated three times on the left of tape 183, while the complement of one-half the last total on the right of tape 179, or 4x141,648 = 70,824, is added on the right of tape 183, and a subtotal taken. The subtotal on the left is the sum of the first and third quantities in the equation just above, while the Sub- total on the right is the sum of the second and fourth quantities on the right of this equation. From equa- tions (82) it will be seen that the subtotal on the right 1=107 of tape 183 is also |2(3(i) r Hence this subtotal X=B7 is added on both sides of the tape, giving a total on the left which equals the corresponding total in tape 182, as indicated by the mark ®, and a total on the right equal to the corresponding total in tape 182, as in- dicated by the mark ©. 184. By dividing each number on the right of tape 182 by the corresponding number on the left, q x was ob- tained to the nearest sixth decimal place. Since the average of these death rates added in fives are the death rates required, the first five values were added on the machine and a subtotal taken, which is 1=91 10 6 22 1x- Then the first value was subtracted by set- 1=87 ting up its complement preceded by nines and the sixth value added and a subtotal taken, which is i=92 10 6 2'2i- This process was repeated until the last 1=88 group, ages 103 to 107, was obtained, when a total was taken. The machine was split between banks 9-10, and 89, the central age of the group 87 to 92, was entered in banks 10 and 11 opposite the first subtotal; the nines in the subtraction raise this age by unity after a subtotal, so that the number in the banks 12 to 10 is the central age of the quinquennial group whose sum is the subtotal. 185. Then the last five 10 e g x in tape 184 were added independently in tape 185 as a check on the work in tape 184. The mark @ indicates that the same total was obtained for this group in both tapes 184 and 185. 186. According to the description of this process in section 118, page 349, the average rate of mortality for any age indicated in tape 184 is one-fifth of the sub- total that stands opposite it. This division was per- formed mentally by multiplying by two and dividing by ten, which gives a decimal in the quotient. The add- ing machine was split between banks 3-4, 5-6, and 14-15. The age is entered in the banks 15-17, the integral part of the quotient in the banks 6-11, and the fractional part in the banks 1-3. Thus the first entry in tape 186 is 89 on the extreme left; then 2X1,221,737 gives 244,347 in the central group and 4 on the extreme right. When the fractional part is .5 or over, it was preceded by nines and the number in bank 6 increased by unity. These quotients were subtotaled in groups of five for convenience in check- ing. At the end the 10 tenths, or 1 unit, was added to the sum of the central group, giving a total of 6,361,003. 187. The machine was then split between banks 9-10 and the subtotals in tape 184 added in two col- umns, beginning with age 89 on the left and age 99 on the right and taking subtotals after each fifth value. At the end the subtotal on the left was added to that on the right and a total taken. Then the total of tape 186 was repeated five times, giving a total equaling that just obtained, as indicated by the mark %. RATES OF MORTALITY AT OLDER AGES DETERMINED BY APPLI- CATION OF WITTSTEIN'S FORMULA TO THE AVERAGED RATES FROM ALL FIVE QUINQUENNIAL GROUPS. 188. In sections 117 to 119 the use of the Wittstein formula to obtain rates of mortality at the older ages is explained. As stated there, the constants of the Wittstein formula were based on rates of mortality for ten consecutive ages, taken from tape 186. Before selecting these ages the quinquennial differences of the rates, of mortality in tape 186 were found, that is, gs+5 — q x . This differencing was performed mentally and the results set down on the right side of tape 188. A subtotal was taken after each fifth value to aid in checking this work. On the left of tape 188 is shown a check on the differencing on the right. It will be noted that 1=105 1=93 2 (2x+5- 1=89 ■2i)=S Sz-S The first sum on the right side of the equation is ob- tained by adding on the left of tape 188 the last five rates of mortality in tape 186, while the second sum is the first subtotal in tape 186. Hence to the first sum is added the complement of 1,348,051, and the total, marked ©, agrees with the sum of the differences on the right of tape 188. Then as a basis for the calculation of the Wittstein constants the ten consecutive rates of mortality in tape 186 from ages 94 to 103 were selected. No hard and fast rule of selection applicable to all the tables could be fixed upon, owing to the irregularity of the rates obtained at these advanced ages. In some cases the rates began to decrease and in others exceeded unity. The selection, therefore, was a matter of judgment and was made so as to avoid decreasing rates and intervals where great irregularities appeared, WITTSTEIN'S FORMULA. 393 CALCULATION OF THE LIFE TABLE FOR MALES IN THE STATE OF NEW YORK: 1910 PHOTOGRAPHS OF ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS 183 186 X Average \a'q x . * 8» 244347 4 90 2 5 4 9 9 6 4 190 194 » -Zojt-Zoj fcj X log {US -X) « 22BBZ0O 1933,100 114410 00 9970764 7 11849390 X 91 27 616 33 7 2 94 1 3222 1,929 99707840 9 970 7 8 40 99 92 9,17 6 92 284771 998 »3 293331 t 8 4 '6 7 93 1 96 1 3010 3, 000 2787 5, 360 12852720 18 62,2769 1348051 1, 10 s 94 305454 996 288147090 94 97 1 98 1 2552 7, 351 2304 4, 893 1862276 1868,276 3 r. @14714996 37E4,552*@ 95 320920 998 9« 33452 5 6 04744300 4 3 16 6 99 1 38 773,432 s 3 4 11,993 97 346341 i 7 5 5 1 00 1 17 6 9, 13 3 98 3 7 2 376 1 1 101 1 14 613,804 184 3027667 J, 89 395350620 9.9 102 1 103 1 11394,335 07918,183 99 395836 998 100 403687 4 X 6 93 3 7 5,150 1 2 1 71 8,820 9 101 463 326 996 3,6 4,0 104 1 0413 9, 269 102 515298 176 105 1 0000 0, 000 103 524158 4 18 106 9542 4, 251 <0'£*4» « * 7* „ 95 306 622,020 1 07 9030 8, 999 5329972 5, 10 9 1 08 8450 9, 804 22 5,204 1 04 31906 6 2 4* 16 1 OB 332,797 2 4 0,9 8 7 105 511964 998 59544 1, 100 5,515 85 10 1, 1439 7 7 8 1 5, 13 5 2 5 9,294 6361003 6, 10 s 221 1 10 6989 7, 000 3 6 3,455 1 44 111 6020 5, 999 69 1221,7371 6361003 6, 10B 187 100 404 55 3,120 1 12 113 47 712,125 3010 3, 000 99977 4, 796 378,449 6 7721445 1 1 9 7083 4, 392» 9 13- 195 90 1.3 74,982s # 3 65 999 ,7 6 7, 303 13 21737 197 9,17 9 1 8 * 3 10,8 9 5 1374982 2018,437 1333080 2316, 628 3 33 784350 96 4. 6 6 3 O 1 1 2, 4 3 3 3877^432 91 13 5 3, 080s 1423834 2 57 6,4 9 0* « 99 87 89 2 B 1,180 99975 9, 013 311,761 1466607 2 62 0,7 9 2 523889470 39 © 66 32 6, 04 it. 6740360 11511,326s 39 196 92 142 3, 854s 1527268 259 5, 331 3 9 99974 0, 706 1604599 255 9,8 19 476106200 IOI 3 2, 4 7 16 7262 5 1 X «x * 173 17 07 x 9 3 1 4 6 6,6 07 3 1861880 66322 0, 200 9 4 9066 9, 378 999 736,545 324,116 1513 8 33 9 16666,676b 5,6 58 9 4 9 5 96 1 7836 3, 294 15 6 05, 129 1513 6, 339 97 33677 4, 050 9 7 1 44 2 6 8,4 19 94 152 7, 268s 9 8 1 31 95 8, 968 999 72 1,551 3 5 5,780 15138339 31305,015«@ 2* 45930 3, 000 ©5 5 92 5, 18 8 » 6 3 6 1, 3 1,5 8 95 160 4, 5999 6 3 6 1, 3 754 197 999 6 89, 10 5 6 3 6 1, 3 75 3 78,931 6 3 6 1, 3 102 54069 5, 660 96 1672,6251 6 3 6 1, 3 3180 5, 015#@ X \ Zoj(-Zoj gj — -nlogCits-r) and 999 6 88,239 633467420 Z°3«°9jr»s1 — nloqUu-x-s) „ 3 70,8 43 97 173 1, 7079 188 ice?,.,-?,.) e 6 1, 1 7 8 096 3 04 30 1 19911245 r-94 23814709 "* ** 999 6 97,953 6 5, 9 2 4 3675 34 16 98 1 48725954 ® » 432,220 6 3, 9 9 # 98 186 1,8 809 6 .1, 5 7 7 9, 5 5 4 47979310 1 9200 8 9'3 v.., _„ 39525062 °" 3!J 99967 5, 884 10836 44 1,415 3 3 1,5 65s 1084 1 4B725954© » 9 0, 3 8 2 13 4 99 197 9, 1799 8 2,7 67 552008650 103 V* rt^ 1 01 9 7 9, 017 99964 4, 220 128,801 JC = S5 30 6 62,302 3 9 5, 3 8 463326 168,957 *♦ w @ 1 100 201 8, 4379 515298 15 1, 782 534 15 8 191 32 6 4 1,219 it 999 62 1,07 9 519066 95 4, 254s Jr+5 =100 @ 1 92 IB 5, 907 6 7 7, 1 1 2 101 2 3 16 628 a 999 62 9,157 511964 12 3, 230 98651949 10 8, 277 @1185761 1 185,761* @ log&lag o> )-log(-log q x +s) 10 710,35 3 9 7 9 3, 1 1 4045 5, 312 3264 1,219* 6 3 0,7 5 102 257 6, 4909 189 15332,195 20 3 92,161 1844 e, 449 1 4783047 5 v- =a c 32276425 ** 96 99956 7, 780 , 4 7 6, 5 2 2 x -'"3 *r nX <§> 7467 6, 26Sit 1 BO1O8900 @ » 4 849 4 13 59 75 0,871 192 * 1 324982B0 103 2 62 0,79 2 9 ■ 56 9 658 9 971 18 5, 291 47610620 J ' + 5 = l <" 99 9 55 e,5 8 5 S 4 51505418 40 348,471 99 3952 5, 062 4 1 5, 9 5 4 fl; 996933 7, 798 4045 5, 312 1 80106900 @ * 104 259 5, 3319 99960 4, 962 5 0639 678 6060 3, 723 753 996772 1,5 75 47610, 620 JT-97 i 8112 1, 266 33 6 77,405 3 5 9,52 6 S 5 49360323 39 3 95,5 2 4 100 996632 2, 595 105@355 9,819# « 5 4 06 9,5 66 996324 7, 584 © 2 1479 8, 691* 5 24422 09 6 6 5.8 8, 105 55 300,865 1 6 72 9, 125 (85 s 6 4 9 6 47557143 562 33 4 11,333 IOI @ 7467 6, 268t> jr+5 c io2 5 4 06 9,5 6 6 0*107 n 193 ® 3 1479 8, 6 91* * 5 3 950265 7130 5, 171 1 50064380 # 125 67 4 UgWi-X)-loa (IIS-JT-5) . 36753416 -r=»B 6 7 7, 1 1 2 9 6 3 0, 7 5 7 46049610 287 94,155 102 1180 9, 931 1249 3, 874 1 66816696@ -l03 866 1669 7@ • @ B5S?',819* r . This gives the average value of the five values of log log a as -1.72618292. 2.00. To 1.72618292 is added its complement, or 8.27381708, showing that when the mantissa is positive, or .27381708, the characteristic is 998 on the tape, or 2. or 8. as the characteristi c is usual ly written. This complement is designated log log a. 201. Twice the sum in tape 196 is set down and repeated five times, giving a total ten times that in tape 196, as indicated by the mark @. This shows that the average value of n x is 1.10185038 when taken to the nearest eighth decimal place, and is designated by n. 202. After the Wittstein constants have been determined, the smoothed rates of mortality are computed from the formula log (-log q x ) = log log a + nlog (115 -.<:). (85) n was set up on the calculating machine, multiplied by the first value in tape 194, and the product to the nearest eighth decimal place entered upon the left sid e of the ad ding machine in tape 202. The mantissa of log log a was added to this. The product of n by the second value in tape 194 was set up four sp aces below it on the right side, and the mantissa of log log a was added to it also. The product of n by the third value in tape 194 was set up immediately below this on the left side, and so on. 203. As a check on this work the sums obtained in tape 202 were added. Then below this the product of n times the sum of the (115 — a;) in tape 194, taken to the nearest eighth decimal place, was set up on the adding machine and to it was added 21 times log log a, that is, .27381708 plus 20 times .27381708. The total agrees with that obtained just above, as indicated by the mark ® . 204. Since only the mantissa of log log a was added in tape 202, the characteristic, or —2, had to be sub- tracted mentally. As the integral parts of the sums in tape 202 are either 1 or 0, the characteristic of the log ( — log q x ) is either — 1 or —2, respectively; that is, the antilogarithms, —log q x , will begin in the first or second decimal place, respectively. They were estimated to the nearest seventh decimal place by interpolation, this work being done with pen and ink, in tape 202. It was ordinarily worked in pencil, but is here shown in ink. From the values of log ( — log q x ) shown in tape 202, — log q x is a positive fraction; hence log q x is a nega- tive fraction, or — 1 plus the complement of that frac- tion, the complement being the mantissa of log q x . In tape 204 the characteristic — 1 is not shown, but the antilogarithms of the logarithms in tape 202 are set down to five places and then the other two added by interpolation. This sum is then read through the glass at the base of the machine, its complement added, and a total struck. This complement, of course, is log q x . The machine was split between banks 7-8 and 10-11 and two consecutive antilogarithms and their complements set up together. 205. The antilogarithms of the logarithms in tape 204, lO 6 ^, were entered on the right of tape 205, the sixth figure being interpolated on tape 204. On the left of tape 205 are entered the 10° p x . The sum of the I0 e q x and I0"p x gives 22, the number of items. At- tached to the right of tape 205 is another tape, upon the middle of which are copied the 10 6 g x from tape 186 and on the right lO 6 ^ from tape 173, beginning with age 85. Every fifth age, that is, 85, 90, 95, and so on, is entered on the left of this tape. These three tables of rates of mortality are set here side by side to com- pare them and to select the rates of mortality which are to be smoothed for the final table by Spencer's 21-term formula. In actual practice the three tapes 205, 186, and 173 can be pinned together while making this comparison. In making this selection three points were kept in mind : (a) As many as possible of the rates from tape 173 were selected, since it seems desirable to extend the oscillatory process just as far as the rates would appear to warrant such extension. WITTSTEIN'S FORMULA. 397 CALCULATION OF THE LIFE TABLE FOR MALES IN THE STATE OF NEW YORK: 1910 PHOTOGRAPHS OF ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS .198 X JT + S -logloga* 9 4a/ief9 9 95 -100 96 .101 97 .102 98-103 148785,954 13264 1,219 16010 8, 900 £1478 6,691 166816, 696 86309 1,4 60«( 199 - log log a i 7261 s, 293 17261 6, 292 172618,293 172 6 le.293 Of 17261 8, 292 200 8 63 9 1i4 60il @ 172618, 292 log loga. 9982738 1,703 201 n 11018503 8' 110185038 110185038 1101B503B 110165038 550925190 99999 999998 ©550925188 996 99 6 99 6 99 6 99 6 4, 9 8 o 4, 9 8 « 202 lofi-.log gJ'filogt,lli-JO+log loga 45688 783 3738 1708 73070491 14335 4, 040 2738 1, 70S 170 735,743a 140899514 27381708 168261222 9 g % %■ 3 9 3 12,; 27381,' 355 77 06 1 273 61708 3 2 6 7 6, 2 7 3 8 1, 006 708 2 9567660 273 817 08 2 6 2 8 6, 2 7 3 8 1, 163 708 5 3 6 6 7, 1 22 73989 27381708 50 121598 18909,627 2738 1, 708 46 2 9 1,335» 1474589 3 2 7 3 8 17-08 43127601 05 14 32 47 27381708 325 24 9 5 5 10 185.038 2 73 81,7 8 3756 6, 746* 93117160 2738170 S 30 49 e8 68 -Z-S-S- 9950 7, 005 2738 1, 708 2 6 8 6 8, 7 13 « ■'-kin 77016036 27 381708 85 7 4 0,6 2 5 2738 1, 708 13 12 2.333W 66 3 3' 8, 003 273 81,7 8 93719, 7^1* 25 7162 3 73 8 17 08 3316 9, 002 2736 1, 708 273 81708 2738 17 08 203 173 07 170 73 168 28 16569 162 95 160 05 156 96 15366 150 12 14639 143 13 13 7 56 132 52 12 6 8 8 12049 113 12 10439 93 71 79 95 60 55 27 3 6 0491 5,7 48 1.2 2 2- 3,9 5 7 8,769 7,714 9.3 68 7,37 1.5 9 8 1,33 5 7.6 01 6,74 6 4, 9 55 3.7 13 8.8 66 2,33 3 7,74 4 9,711 3,33 1 0,7 10 1,70 8 @ 2746 5 8 0,4 9 2« 2171 56 4,63 4 2 7 3 8 1,708 547634,160 @ 2746 5 80,493* 204 log ji 5 37 9043 -'-Hf 4 81739 5 5 1826 05 5 9 7, 5 3 4 9 3, 4 » 7 4 538,785 5 46 1,215 -HH- 4 26174 7 5 736253 3 712733 6 3872 67 3 171144 6 8388 5 6 2638 007 2 114704 7 86329 6 16032 4 83 967 9 6 -ft 39 8 6,3 6 6 6 013,6 3 4 i a * 9 3 4 4 0, 9 5 3 ^E~ -ffff 2 3 7 5, 2 1 ' 7 6 2 4, 9 7 9 m 1 8 5 7, 3 2 2 8 1 4 2, 6 7 8 1 3 5 2, 7 6 8 8 6 4 7, 2 3 2 8 6 3, 3 6 1 9 134,639, 4 3, 1 8 a 9 596, 812. 187653 9612147, 205 7102 02 69 07 9 3 6 7019 3 64 83 41 63 5 17 8 6 6 4 1 5746 69 547 2 02 518 17 9 4675 45 45 5 2 47 43 12 4 1 3854 S 9 34 7 970 3 086 79 2 6 7 6 42 22 4 93 6 18 0660 135088- 8 8658 43 33 3 13069134 2 30 000 00- >° 6 £c 3 8 9,7 9 8 3 9, 3 7 3 3 °, 8 7 3 5 1, 6 5 9 3 7 'I, 8 2 3 3 9 9, 3 5 9 4 2 5, 3 3 1 4 5 2, 7 9 8 4 6 1,6 31 5 1 3, 4 5 5 5 4 4, 7 5 3 5 7 8, 7 5 9 6 1 4, 5 1 1 6 5 2, 3 6 91,321 7 3 2, 3 5 6 7 7 5,07 4 8 1 9, 3 4 8 6 4, 9 1 3 91 1,343 9 5 7, 6 6 7 1 6 0, 13 069,134» 206 x 70 ts 61, 27 9 73,07 4 7 7,2 57 8 3,8 81 8 9, 1 3 3 3 8 6, 6 1 4 s 9 6, 1 6 1 3, 5 5 4 110,997 113,688 1 2 7, 4 7 8 9 4 5,4913 1 3 7, 6 5 6 146793 160,239 171,738 184,442 1 7 4 B, 3 ia s 193,539 2 1 2, 6 6 6 3 3 5, 7 3 9 3 3 7, 3 8 1 3 4 7, 8 4 366 9, 7573 3 5 1, 3 8 2 5 4,6 14 2 6 7, 1 5 6 2 92.208 505,454-, 4 24 0,217 3 3 2 0, 9 2 3 3 4, 5 2 5 3 4 6, 3 4 1 3 72,37 6 3 9 5, B 3 6 O pj 6 01 42 45 46 51 54 842 57 6 1 6 5 69 73 1169 77 8 1 86 91 95 0, 2 1 5 s 5,331 3.79G 1,8 31 2,4 5 5 4,753 7, 3 7 3 3 8,7 59 4,511 2,030 1,3 31 2,3 58 6, 3 5 2 g 5,07 4 9,3 4 4,912 1,3 42 7,6 67 16 03 4, 687 3 _ 100 0, 000 @1702 4,687» from Tape 186 from Tape 173 •» 1 9 8, 5 3 9 3 1 2, 6 6 6 2 2 5, 7 2 9 2 3 7, 3 8 1 244347 24 7, 084 90 254996 27 06 16 2347 71 29 3 3 21 305 464 95 320920 3 34 535 34 6341 372376 39 5 e 3 6 100 403687 46 333 6 5 15 2 96 5 2 4 15 6 8 19 06 6 105 511964 2 5 1, 3 a 3 5 4, 6 1.4 3 6 7, 15 6 2 9 2, 2 8 3 9, 5 1 8 3 2, 7 5 2 8 9, 7 7 7 3 7, 4 3 4 1 6, 5 7 7 - 5 1 8, 3 O 5 4 11,582 3 5 3, 9 7 3 3 5 7, 8 3 1 4 9 1, 6 3 3 8 4 2, 3 4 3 7 2 9, 2 2 3 4 1 5, 9 5 4 3 7 2, 5 9 234,993 3 1.2,059 814,327 2 4 1, 3 7 9 398 UNITED STATES LIFE TABLES. (b) As few as possible of the rates of mortality from tape 205 were selected, because these rates depend less upon the actual data and more upon an artificial formula than do those in tapes 173 and 186. (c) The rates of mortality selected should have about equal weight in determining the smoothed values. Those selected, therefore, should form a fairly smooth table, since values that do not fit in smoothly with the rest of the table would have more than their share of influence upon the smoothed values. The ones selected in this case were from tape 173 through age 93; from tape 186, age 94 through age 99; from tape 205, age 100 through age 115. The tables from tapes 186 and 205 are very close together from ages 96 to 99, but between ages 100 and 101 there is a rough place in tape 186; hence its values were used no further than age 99. RATES OF MORTALITY AT OLDER AGES SMOOTHED BY SPENCER'S 21-TERM FORMULA. 206. To make certain of a smooth junction between the rates of mortality in tape 173 and the smoothed table, it was found best to extend the latter values as far back as age 80. Hence the rates of mortality in tape 173 from age 70 through age 93 are copied in tape 206; in tape 186, from age 94 through age 99; in tape 205, from age 100 through age 115. For pur- poses of checking, subtotals were taken after each fifth value and a total taken at the end. 207. Equation (50), page 350, for this smoothing process calls for division by 350, or by 5 X 7 X 10. In order to decrease the size of the numbers used, the division by 7 was performed first, either mentally or by aid of Crelle's Rechentafeln, opened to the page show- ing multiples of 7. The quotient to the nearest integer is set down in the middle of tape 207 and the remainder is set down on the right side, the machine being split between banks 14-15. When the remainder was 4, 5, or 6 the quotient on the left was increased by unity and 997, 998, or 999, respectively, set down in the remainder column, since in this case the remainder was considered negative. For purposes of checking, sub- totals were taken after each fifth value and a total taken at the end. For convenience in reference these quotients were designated by u x . The ages are en- tered on the left of tape 207. 208. The check on the above work is to repeat the total of the quotients in tape 207 seven times and to add to it the sum of the remainders. As indicated by the mark @, the total here is the same as in tape 206. When one is using Crelle's Rechentafeln it is easy to check up the work after each subtotal. For instance, if a check is desired upon the third subtotal of tape 207 the product of 7x249,000 is 1,743,000, the product of 7 X 764 is 5,348, the sum of the remainders is 10; then the sum is 1,748,358, which is the third subtotal in tape 206. 209. The next step was to obtain the operand in equation (50) on page 350, that is, U x = — Ux-3 "f" U X-1 "t" ^ U X + U X+1 ~~ U X+3> where the operand is designated by U^. It was found convenient to determine two consecutive values of U at the same time, so the machine was split between banks 8, 9, and 10. By comparing Table 134 with the values in tape 207 it is easy to devise a mechanical method of determining these values of U on the add- ing machine. Table 134 DERIVATION OFTHE OPERAND IN SPENCER'S 21-TERM FORMULA FOR AGES 73 TO 7li. t T 73 t T 71 r» u re t T 73 X*7J t T 75 U76 Ux-1 9611 10296 11037 11840 11037 11840 12732 13737 a b c d c d c ! Ux Ux 11840 12732 11840 12732 13737 14793 13737 14793 d e d e f 9 f 9 U X +l Vx-H 12732 13737 14793 15857 14793 15857 16955 18211 e f g l g h i i The values of u which are used in calculating the values of U 73 , U 74 , U 75 , and U 76 are copied on the left side of Table 134 from tape 207, and the symbols which are used in the formula for JJ X appear in the first column. If the first ten values in tape 207 be desig- nated by a, b, c, and so on, to i, and j, then the values of u entering into the calculation of U 73 , U 74 , U 75 , and U 76 are shown in the four columns on the right of the table. When the values for the first two U's were calculated simultaneously, the value a would be set down on the left of the machine and 6 on the right; then beneath them c on the left and d on the right. Here a break occurs, d being set down again, this time on the left, while e is put on the right and the two repeated twice by means of the repeat key. Then setting down e again, this time on the left, /is entered on the right; then g on the left and h on the right. Then starting the calculation of the next two values of U, that is, U 75 and U 76 , the first line is c and d, which is the second line in the calculation of the pair before. The same process is repeated in the calculation of U 75 and U 76 as in the calculation of U 73 and U 74 . One thing which must be remembered, however, is that the complements of the first and last line of values must be set up instead of the values themselves. 210. For convenience in reference and checking, the values of \J X are copied, taking subtotals after the same ages as in tape 207. Hence there are only two values in the first group and only three in the last. From the formula for \] x it will be noted that, with the exception of the first six and the last six values, all the values in tape 207 are added four times and sub- tracted twice, so that each enters twice in the sum of SPENCER'S 21-TERM FORMULA. 399 CALCULATION OF THE LIFE TABLE FOR MALES IN THE STATE OF NEW YORK: 1910 PHOTOGRAPHS OF ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS 207 ■IO*fe + 7 Remain dors 96 11 1039S 11037 11840 18732 2 B 998 1 999 ES516 13737 14793 15 857 16 955 182-11 2, 2s 1 3 993 3 1 3 5 06,9 196 65 >, 8 3 1 2.1356 22891 2 45 34 ,36 349 849 7 64 283 63 30381 32247 33918 3589 6 4 09 965 358 61 3 6373 3 8165 41744 436 36, 60S 744 45 846 47 789 4 9 4 7 7 53197 56348 85 8601 607 62 6 46 85 6 8832 7320B 77 882 4, 103 998' 999 997 998 6, 2 3 1 3 1 a 9 s 998 2 2 997 10, 8 s 997 3 997 999 999 1203910 14, 3s 886 BC( 999 8 7 787 2 93147 1 98760 1 104623 997 1 670907 IS, 3d 110725 999 117049 997 183359 999 13 0192 998 13 6 810 997 8289242 2 0,993s 115 142857 1 8438 099 2 0.994S 208 2 432,099 2 43 2,09 9 2 432,099 2432,099 2 432,099 2 432,099 2432,099 9999999999999 9, 994 @17 024,687* 209" 99 9 8 9, 7 4 11,840 12,732 12,732 1 3, 7 3 7 99 984,143 X - 24,9661 999903B9 11037 1 IS 40 11840 12732 999852 07 ^•2 3 4 5 i i 999889 63 1273 2 13 7 3 7 1373 7 147 93 99983045 999872 68 14793 15857 15857 16955 99980335 9998 8, 160 1 3, 7 3 7 1 4, 7 9 3 14,793 1 5, 8 5 7 9 9 9 8 1,78 9 9 9 9 8 6, 2 6 3' 1 5, 8 5 7 16,955 1 6, 9 5 5 13,211 99 978,744 99985207 16955 18811 182 11 19 665 99977 109 9 9983 043 196 6 5 2 185 6 21256 228 91 99973,651 99980335 828 91 8453 4 •3453 4 26 349 9 9 9 6 9 6 1*9 99 977109 2,6 349 283 63 28363 30381 99966 088 99 973651 30381 32247 322 47 339 12 99964139 99 96,9 619 33918 35298 35298 358 61 99961635 99966088 338 61 36373 36373 38165 999363 64 9996413 9. 3 6.1 6 5 4 17 4 4 4174 4 4363 6 999532 11 99961835 4 3 6 3 6 45846 45846 4778 9 99946603 9995636 4 4778 9 49 477 49477 53197 999392 58 9 9S52S 11 5 3 1 9_7 585 48 5 654 8 607 62 99931168 9 9 946 8 03 ' 6 0762 64685 64685 6>8632 '9 9922176 9? 964,143 18,211 1 9, 6 6 5 1 9, 6 6 5 2 1,85 6 99 975,466 38,406* » 9 9 9 8 1,78 9 2 1,25 6 2 2,8 9 1 22,891 . 24,534 9 9 971,6 37 99 978,744 2 4, 5 3 4 2 6, 3 4 9 26,349 8 6, 3 6 3 9996 7, 753 3 2,092a 9997 5, 466 2 8, 3 6 3 3 0,381 30,381 3 2,2 47 99 9 6 4, 70 2 9 9 97 1,63 7 3' 2,2 47 3 3,9 12 3 3,9 12 3 5,29 6 9996 3, 627 9996 7, 753 3 5, 2 9 8 35,861 3 5, 8 6 1 3 6,37 3 9995 6, 256 99 964,702 36,373 38,165 38,165 41,744 99 934,134 73,303ft * 9 9 96 3,6 27 4 1,7 4 4 4 3,6 3 6 43,636 4 5, 8 4 6 99 93 0,523 99 95 -,255 4 5, 6 4 6 4 7, 7 8 9 4 7, 7 8 9 49,477 99 943,453 99 954,154 4 9, 4 7 7 5 3,19 7 5 3,19 7 5 6,5 48 99 935,315 101,88a* * 99 95 0,523 5 6, 5 4 8 6 0,762 60,763 64,685 9992 6, 792 11043 4;: 120,073* 99 943,452 64,685 6 8, 8 3 2 6 8,6 3 2 7 3, 2 6 99917, 320 11179451! 136.329* 99 9392 38 68633 73 2 08 732 08 77628 9 9 9122 13 9993 5, 315 7 3, 2 8 7 7, 8 2 2 7 7, 8 2 2 82,680 9990 6, 853 1445211! 1-53.700* 99 931168 77888 8268 8268 8 7787 99901240 163 377$ 99922178 8 7787 93 147 93 147 9 8760 99689275 9 99182 13 987 60 104 623 104623 110725 998 76 4 41 9 99012 4.0 110725 117 049 117049 12355 9 9986319 9992 6, 792 82,660 8 7, 7 6 7 6 7,78 7 9 3,147 9989 5, 377 1 7 3, 5 7 » * 99917, 320 9 3, 1 4 7 9 8,7 60 9 8, 7 6 1 4, 6 2 3 9938 2, 951 184294;: 19 5, 5 6 1* 9990 6, 853 I 4, 6 2 3 110,725 110,725 I I 7, 4 9 9986 9, 808 20738 5; i 2 1 9, 7 8 3 » 9989 5, 377 117,049 123,559 1 2 3, 5 5 9 13 0,192 9985 7, 143 23 26 12;: 246,8790 210 x 73 23,045 2 4, 8 8 8 4 7, 9 3 3 I 3 7, 7 2 9,12 9 31,065 32,985 3 3, 3 5 6 2 3,477 3 36,406 4 1,7 6 4 44,998 4 8, 2 6 2 32,092 438,999 > 36,653 6 1,5 40 6 6, 3 7 7 7 0,6 3 3 71,623 756,225s 6 9,4 02 6 9,22 4 7 3, 3 3 8 1,6 3 9 89,012 1138,805s 9 1,755 92,609 95,5 42 I 1, 8 8 I I 0, 4 3 4 163 1,03 3 3 12 0,07 2 1 2 7, 9 4 5 1 3 6, 3 2 9 144,521 1 5 3, 7 231 3, 6003 1 6 3, 3 7 7 1 7 3, 5 7 O 164,29 4 1 9 5, 5 6 1 2-0 7, 3 8 5 323 7, 7878 2 19,783 232,812 3 4 6, 8 7 9 393 7, 261* 211 Check on U, 9 6 11 9 6 11 9 6 11 10296 10296 1029 6 11037 1103 7 999672 68 999862 63 5S326 2432099 2432099 142,857 142,857 142,857 1 3 6, 8 1 1 3 6, 8 1 1 3 6, 8 1 13 0,192 130,192 99 882,951 99 869,275 871,6 11* ■ ,'■* 8 7 1,611 5 5, 3 2 6 3 9 3 7, 2 6 1 @4864198®486 4, 19 8» 212 %-3SV, 803477 546,158 976955 99 922,177 38406 92,609 2 18838 973112 4176 4 2 35714 972 99 3 44998 E53705 970871 48262 272638 96 8935 52092 2938 65 967015 36653 317533 964642 61340 343713 951394 665 77 3 71886 958336 70633 400735 953002 '71833 4 275 80 931738 6 9403 448730 947908 6 9224 465852 :. 9433 47 7 3 3 3 4 825 02 938460 81639 5 08601 9 3342 3 89012 5 2503 6 :. 929367 91753 546156 :. ®"- 213 5 6 6, 9 4 4 s 9 9 9 3 as 9 8 95,542 593,084 3 99 930,77 6 101,388 6 2 5, 7 48 3 9992 6, 697 110,4 3 4 6 62,679 s 9991 8, 361 120,072 7 01,312 s 99 910,988 1 3 7, 9 4 5 74 0,245s 99 906,245 136,339 784,819 s 9990 7, 391 144,521 836,731s 99 904,458 15 3,70 394,689 s 99 898,113 163,377 936,378 s 9988 9,366 173,570 1 019,314s 99 879,938 184,394 1 0-8 3,736 3 9987' 2,035 195,561 1-15 1,3 53 s 9986 3, 671 307,385 1 222,408 s 9 9883,47 9 215,793, 139 7, 670s 99 846,300 332,812 1376,788 3 9983 6, 623 3 4 6, 8 7 9 1460,284* 9 997 6 86,400 999983 6, 623 3 9 3 7, 2 6 1 ® 1460,26.4* 400 UNITED STATES LIFE TABLES. all the U's. Also, since the formula is symmetrical, values at the same distance from the beginning and end of tape 207 will be added and subtracted the same number of times. Hence the first two and the last two values are each subtracted once. The third values from the ends are each added once and sub- tracted once. The fourth values from the ends are each added three times and subtracted once. The fifth and sixth values from the ends are each added four times and subtracted once. These statements can readily be checked up by writing down the calcu- lation of the next pair of U's in Table 134, page 398, that is, the U's for ages 77 and 78, and then studying the letters that enter into the calculation of these three pairs. 211. From the above statements it is seen that 1-115 1=112 2 2 «z = 2-! U,. + 3 (u 70 + u n + u nt + )/ u5 ) Z=70 1=73 + 2(w 72 + i/ 113 ) - (u 7i + u u +u lltl +u iu ). (86) Hence in tape 211 the first two values in tape 207 are repeated three times on the left, and opposite them on the right the last two quantities are repeated in the same way. Then the values third from the ends are repeated twice, the one near the beginning on the left and the other on the right. After this the complex ments of the fifth and sixth values are set down, those near the beginning on the left and those near the end on the right. Their totals are then added to the total of tape 210, and the sum is found to equal twice the total of tape 207, as indicated by the mark ®. If the totals marked (§) do not agree, the first total on the left of tape 211 is convenient to use in locating the error, for a check similar to that in tape 211 can be made on any part of tape 210. In locating an error it is well to check the middle of 'the column first, say the subtotal after age 94. The operation on the first six values in tape 207 would be the same, giving the total 55,326, but the value for age 97 instead of that for age 115 would be the last value in tape 207 to be used. Hence the operation would be as follows, the addition of the first four numbers on the left being to 1-97 1=115 determine 2 «x in P lace 01 2 u x , or 2,432,099, which 1=70 1=70 were used in tape 211: 605744 49477 49477 49477 49477 47789 47789 47789 47789 45846 45846 45846 99958256 99961835 748856 303581s 748856 55326 1138805 1497712 1497712* If these to-tals do not agree there is an error before age 95, and some subtotal midway between the begin- ning of the column and age 95 should be checked, say age 85. If the totals do agree the error occurs after age 94, and the subtotal before age 105 should be checked. 212. The formula for this smoothing process calls for the addition of the operand twice in groups of fives and once in groups of sevens. The first addition of the operand U was that in groups of sevens, and the sums were designated by v. Since the first value in tape 210 is for age 73, the first v would be for age 76, and its value is given by the second subtotal in tape 210, that is, 203,477. Starting tape 212 with this value, U 73 was subtracted and U 80 added and a subtotal taken to obtain v lv This process was re- peated to the end of tape 210. To save space the machine was split between banks 11-12 and 8-9 and the first half of the additions performed on the left of the tape; then the paper was rolled back and the last half of the addition performed on the right. 213. The work in tape 212 was checked by adding the last five values in tape 210 independently, that is, by subtracting the next to the last subtotal in tape 210, or 2,313,600, and 163,377 from the total 3,937,261. As indicated by the mark ®, the total in tape 213 agrees with that in tape 212. 214. For convenience in reference and checking, the v's obtained in tape 212 are copied in tape 214, a subtotal being taken aft,er each fifth value and a total at the end. 215. The total in tape 214 would not equal seven times the total of tape 210. In order to bring the total of tape 214 up to the latter sum there must be added to it six times the first and last terms in tape 210, five times the second from each end, four times the third from each end, and so on until the ones sixth from the ends have been added. The first term in tape 210 is set down on the left of tape 215, and on the right the last term, and then they are re- peated six times. Just beneath them are set down the values in tape 210 second from the beginning and end, respectively, and they are repeated five times, and so on until the values sixth from the ends of tape 210 are added. On the right of tape 215 these totals are then added to the total of tape 214, while on the left the total of tape 210 is repeated seven times. The two sums marked @ agree. If the sums do not agree, the approximate location of the error may be found by checking some of the subtotals in tape 214, say the one after age 95. The values at the beginning of tape 210 would be operated upon in the same way and the total, 553,240, on the left of tape 215 would be used, but the value for age 98 instead of that for age 112 in tape 210 would be used. Hence the operation would be performed as SPENCER'S 21-TERM FORMULA. 401 CALCULATION OF THE LIFE TABLE FOR MALES IN THE STATE OF NEW YORK: 1910 PHOTOGRAPHS OF ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS 207 Rernam- 96 11 2 lOiSi 2 11037 998 118 4 1 18733 999 BBS 16 2, 2, 13737 1 14793 3 15 857 998 16 955 3 18211 1 95 135 06,9 196 65 2-1256 22891 2 45 34 ,26 349 2 497 64 283 63 30381 3 B247 3 3 912 3 5298 4 09 965 35861 3 6373 381 65 41744 436 3 6, 605 744 4 5 8 46 47 7B9 '49477 5 3197 56548 8586 01 607 62 646 85 6 88 32 73808 77822 3, 8 s 1 4, 109 998' 999 997 993 6, 29 1 3 1 v 8 a -9s 998 2 2 997 10, 8 9 997 3 997 999 999 1203 910 14, 39 826'8d ' 999 87 787 2 93147 1 98 7 60 1 104623 997 1670907 IS, 39 110725 117 049 123359 130192 13 6810 999 997 999 998 997 2289242 20,9933 115 142857 1 2432099 2 0,9948 208 2 432,099 2 432,099 2432,099 2 432,099 2 432,099 2432,099 2432,099 9999999999999 9,9 94 @ 17024,687* 209" U*— *W ^,+2 "f Hr».-«W« 999903B9 9998 9, 704 11037 11,840 116 40 11840 12732 1 2, 7 3 2 12,732 13,737 127.5*;. A.3, i ^ r 99985207 99984,143 ■ *^23045il 24,S6atM^ 999889 63 1273 2 13 7 3 7 13737 14793 99983045 27007$ 699672 68 14793 158 57 138 57 16955 99 9 6 0,3 35 3 1 6 5" I : 99 988,160 1 3, 7 3 7 14,793 1 4, 7'9 3 15,857 9 9 9 8 1,7 6.9 9 9 9 8 6, 2 6 3' 1 5, 8 5 7 16,955 1 6, 9 5 5 18,211 99 976,744 32,9aS» 99 985207 16955 182 11 182 11 19 665 99977 109 99983 045 19665 2 12 5 6 212 56 228 91 99971S51 99 980335 228 91 2453 4 -3453 4 26349 9 9 9 6 9 6 1*9 99977109 2,6 3 49 283 63 2 83 63 3038 1 99966 088 56653 999736 51 30381 322 47 322 47 33918 99 964139 99969619 339 12 352 9 8 3529 8 358 61 99961635 99 984, 143 18,211 1 9, 6 6 5 19,665 2 1,2 5 6 99 975,466 36,406* * 99 961,789 2 1,25 6 2 2, 8 9 1 22,89 1 24,534 99 971,6 37 99 978,744 24,534 2 6, 3 4 9 26,349 2 8,3 63 9996 7, 753 52,0920 718231 99966 088 358 61 36 373 36373 38165 999963 64 99964139 3 8.1 6 5 4174 4 4174 4 4363 6 99952211 19961835 43636 4 5 6 4 6 45846 4-778 9 19946803 9995 6 36 4 4778 9 49 477 49 477 5 3 197 999392 58 $995 22 11 53197 56548 5 6 548 607 62 9993 1168 9 9946 8 03 607 62 64685 64685 see 3 2 '9 9922173 9997 5, 466 2 8, 3 6 3 3 0,36 1 3 0,3 8 1 3 2,2 47 9996 4, 702 99 97 1,6 37 3 2,247 3 3,9 12 3 3,9 12 3 5, 2 9 8 9996 3, 627 9996 7, 753 3 5, 2 9 6 3 5,8 6 1 3 5, 8 6 1 3 6, 3 7 3 9995 8, 256 99 964,702 3 6, 3 7 3 38,163 36,165 41,744 99 954,154 99 96 3,6 27 4 1,7 4 4 4 3,6 3 6 4 3,6 3 6 4 5, 8 4 6 99 95 0,523 99 95 8,256 4 5, 8 4 6 4 7, 7 8 9 4 7, 7 8 9 4 9,4 7 7 99 943,452 92,609* # 9 9 954,154 4 9,47 7 5 3, 1 9 7 5 3, 1 9 7 5 6,5 48 9993 5, 315 9 9 95 0,5 2 3 5 6, 5 4 8 60,762 60,762 64,685 99 926,792 99 943,452 64,68 5 6 8,8 3 2 6 8, 8 3 2 7 3, 2 3 99917, 320 1 '#794 5 1: 13 6.3 29 « 99939238 9993 5, 315 68632 732 08 73 2 08 77822 9 99122 13 144521$ 7 3, 2 8 7 7, 8 2 2 7 7, 8 2 2 82,680 9990 6, 853 9 9 93 1168 77 822 6 268 8 268 8 7787 999012 40 163377} 99 922178 8 7787 93 147 93 147 9876 99889275 999122 13 987 60 104623 104623 1107 25 99876441 9 99012 40 11072 5 117 049 117049 12355 9 99863190 9992 6, 792 8 2,6 8 6 7, 7 8 7 8 7, 7 8 7 9 3,147 9989 5, 377 99917, 320 9 3, 1 4 7 9 e, 7 6 9 8, 7 6 104,623 99 382,951 9990 6, 853 1 4, 6 2 3 .1 1 0, 7 2 5 110,725 1 1 7, 4 9 9986 9, 808 2 7 3 8 5-i i 2 1 9, 7 8 3 * 9989 5, 377 1 1 7, 4 9 12 3,559 1 2 3, 5 5 9 1 3 Q, 1 9 2 9985 7, 143 232812:: 246,879 » 210 x 73 23,045 2 4,888 47,9339 £7,007 £9,12 9 B 1,063 9 2,9 6 3 53,356 SO 3,4 7-7 •' 3 8,4 6 4 1, 7 6 4 44,998 4 8, 2 6 2 52,092 428,999 • 56,653 6 1,5 4 6 6, 5 7 7 7 0,6 3 3 7 1,8 2 3 7 6 6,2259 6 9,4 02 6 9,22 4 7 3, 3 3 8 1,6 3 9 8 9, 1 2 1138,8059 91,755 92,609 95,5 42 10 1,880 110,434 163 1,03 3 a 12 0,07 2 1 2 7, 9 4 5 13 6,329 144,521 1 5 3, 7 O 231 3, 6009 16 3,37 7 1 7 3, 5 7 O 1 6 4, 2 9 4 1 9 5, 5 6 1 2.0 7, 3 8 5 323 7, 7879 2 19,783 332,812 3 4 6, 8 7 9 393 7, 261» 211 CheeK' On 13* 9611 9611 9 6 11 10296 10296 1029 6 11037 11037 142,857" 142,8 57 14 2,857 1 3 6, 8 1 1 3 6, 8 1 136,810 130,192 130,192 999872 68 .99 882,951 99986263 99889,275 553.26 871,611* 8 7 1,6 1 1 2432099 5 5, 326 2432099 3937,261 @4864196@486 4, 196* 212 ■%v* 203477 97 6 95 5 38406 218838 975112 41764 2 35714 97299 3 4499 8 2 53705 97067 1 48262 272638 96 8935 52092 2 938 65 967015 3665 3 317533 964642 61540 343713 9615 94 665 77 371886 958236 70 63 3 4 00 735 933002 71B23 4 27S80 931738 6 9402 448720 947908 6 9224 4 6 5652 9433 47 73303 4 825 02 93846 81639 5 02601 9 3342 3 89012 52503 6 9 293 6 7 91753 213 5 4 6, 1 5 8 9 9 92 e, 17 7 92,609 S 6 6, 9 4 4 > 99 93 0,398 9 5, 5 4 2 5 9 3,084 9 9 9 9 3 0,77 6 10 3,888 6 2 5, 7 43 a 9992 6, 697 110,434 662,879 • 9991 8, 361 120,07. a 7 1,312 9 99 910,988 1 2 7, 9 4 5 74 0,2430 99 908,245 136,329 784,619 • 9990 7,391 144,521 6 3 6,7319 99 904,458 15 3,70 894,869 9 99 8 98,112 163,377 936,378 9 99 889,5 6 6 17 3,570 :. 1 019,514 a, 99 879,928 184,294 • 1 083,736 s 99 872,05 3 195,561 1-15 1,3 53 8 99 863,671 3 7, 3 6 5 1 222,408 9 99853,47 9 2 1 9, 7 8 3, 13 97,67 s 99 846,300 332,812 i.t 1376,7889 9983 6, 623 3 4 6, 8 7 9 1460,284* 9497 686,400 9-999836,623 3 9 3 7, 2 6 1 © 1460,26.4* 150822°— 21- -26 402 UNITED STATES LIFE TABLES. follows, the addition on the left being to obtain seven i=98 times 2j U x instead of seven times 3,937,261 in tape 1=73 215. 99889566 101888 1631033 101888 101888 1520599 101888s 1520599 101888 1520599 101888 1520599 95542 1520599 95542 1520599 95542 1520599 95542 95542 92609 92609 92609 92609 91755 91755 91755 89012 89012 81639 553240 8096551 10644193 10644193* When one has the operation well in mind it can be shortened by reading the subtotal 1,520,599, or 1=98 23 Uz, through the glass at the base of the machine 1=73 and setting it up on the right. Then 1,138,805 was 1=98 subtracted, and resulting subtotal 381,794, or 23 U^, x=95 read through the glass, was repeated twice. 999889566 1520599 1631033 9998861195 1520599 381794 1520599 381794 1520599 101888 1520599 101888 1520599 101888 1520599 95542 95542 92609 89012 89012 81639 553240 8096551 10644193 10644193* 216. In order to decrease the size of the operand again, another of the three divisions is performed mentally, that is, the division by five is made by multi- plying the values in tape 214 by two mentally. The product, with the exception of the last figure, is entered in the middle of tape 216 and the last figure on the right, the machine being split between banks 6-7 and 14-15. Ages are entered on the left. However, when the last figure of the product was 6 or 8, 996 and 998, respectively, were set down on the right, and the corresponding integral part in the middle was in- creased by unity. Subtotals were taken after each fifth value and a total at the end for the purpose of checking. 217. As a check on this work the sum of the integers on the left of tape 216 was added to the sum of the decimals on the right and the total repeated five times. As indicated by the mark @, this sum agrees with ten times the total of tape 214. 218. The next addition was that of the quantities in tape 216 in groups of five as those in tape 210 were added in groups of seven in tape 212. Beginning with the first subtotal in tape 216, that is, 236,915, this addition is performed in tape 218. The sums of the groups of five were designated by V. 219. As before, the check on this work was to add the last five quantities in tape 216 independently, which sum in this case equals 230,270 plus the com- plement of the last subtotal in tape 216, or 3,385,682, plus the total 4,457,111. As indicated by the mark ©, this sum agrees with the total of tape 218. 220. For convenience in reference and checking, the V's in tape 218 were copied in tape 220, subtotals being taken after each five and a total taken at the end. 221. As before, this work was checked by adding the total of tape 220 to four times the first and last terms of tape 216, three times the second and next to last terms, and so on to the fourth terms from the end. The agreement of this sum with five times the total of tape 216 is indicated by the mark ©. 222-225. By processes identical to those in tapes 218 to 221 the values in tape 220 were added in groups of five, checked, copied, and checked again in tapes 222 to 225. Since this completes all the processes re- quired by the smoothing formula or equation (50) on page 350, except the division by 10, the values in tape 224 are the smoothed values of 10 7 q x from age 80 to age 105. 226. These values were reduced to lO 6 ^ by setting down the first six figures in each value on the right and the seventh figure on the left. When the seventh figure was 5 or over, it was preceded by 9 and the sixth figure on the right increased by unity. The lO 6 ^ was entered in the central column. The sum of the p x and q x columns should be an integer equal to the number of rates of mortality entered. 227. The reducing of the lO 7 ^ and the copying of the lO 6 ^ in tape 226 were checked by adding the sum of its integral parts, and the mark © signifies that the totals in tape 227 and tape 224 agree. 228. An inspection of the rates of mortality in tapes 173, 226, and 205 led to the selection of ages 79-80 as the junction point between the first pair and 104-105 as the junction point between the second pair. Then the values of the rates of mortality in the final table from ages 75 to 109 were entered in tape 228 on the left, their first differences in the middle and second differences on the right, in order to insure that no violent breaks occur in these differences at the junc- tion point. Horizontal lines mark the places of junc- tion. SPENCER'S 21-TERM FORMULA. 403 CALCULATION OF THE LIFE TABLE FOR MALES IN THE STATE OF NEW YORK: 1910 PHOTOGRAPHS OF ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS 214 x v, « 7 6 2 3,47 7 583466 3,993s 86 85 516 89744 93170 4 . . 122 6,389* 185 93 02 96 80032 I 3 34 1,810 3 ,99 4 1,03 6 "978 3, 353 3 9 2, 5 7 4 45 08 1 1984415 | 7 9 1,599 f 353 a, 445s 218,838 2 3 5, 7 1 4 2 5 3, 7 5 9 6 5 00 4 100530 2 © 1301,699* 9654449 465 4 5 9937 0, 006 [ 842,613 272,838 1 184,572 3 81 2 9 3,865 1047916 4, 2« 91 105007 Z 109232 996 113389 998 219 23 0270 9996614, 318 2 10 4314 962 770 6 48 49 4 1 i 374 7, 064s 9933 5, 346 8 9 8,467 317,533 1-186 17 998 4 4 5 7, 1 1 1 2 216 9 6 1 r 3 98 0.8 77 s 3 4 3,715 123150 996 @ 1 3 01,6 99 » 9601469 ' 99 396,999 3 7 1,8 8 6 4 0,755 1619311 7, 9 9 2 s 50 4 429 9 5 8, 2 5 2 912,326 3 8 6 4 2 7,580 448,720 96 13 35 76 993 14 02 63 4 148 049 15 6964 ~99B 220 x V, ^ 2322 85 9 957 7042 5346 4 8 1 4 2 3 6, 1 2 6 3 9925 4, 803 j 102 1,17 4 4 6 5, 8 5 2 167346 2 7 8 2 3 6,9 15 2 42 4349 1 4-512,1033 4 6 2,502 502,601 2364508 9, 9 9 4 3 101 178978 998 2 5 4, 9 9 3 3 7 4, 7 3 2 2 9 6, 3 3 2 3 1 9, 9 6 8 955 49 19 5 4676 5 9920 e, 401 1 8 6, 6 7 3 5 23 9,5 81s 191278 996 2526333:! > 480 7, 182s 91 525,036 303903 998 . 953 455 9915 7, 387 5 4 6, 1 5 8 2 16 7 4 7 3 1383,9 403 57139 3 1 1 5 4, 9 3 6 5 6 6,9 4.4 23 2 70 4 83 3 4 5,551 i I 5 9 3,081 3 7 2,29 4 26 3217 8:. : '5,119,505s 625,748 3385682 12,992s 3 9 8,531 9515 059 99101,533 106 244482 996 422,958 5 989 6 4 1 2 2 6, 3 8 9 8 096,5518 2 5 9 5 3 4 4 4 5, 8 1 : 96 662,879 , 2753 56 4 2746201: ! 544 7, 427s 7 01,312 292057 998 336 7, 355s 9904 1, 750 740,245 89 46 5,450 13 1,6 9 9 784,819 4 457111 14,99 0* 4 8 4, 9 4 1 i 5 79087 6"® 8 3 6, 7 3 1 217 504,429 534,648 '■■ 1182 2,537 s 5 4 6, 7 6 5 1 01 894,889 9 5 6, 3 7 8 1 019,514 44571,110 999999999 9 999 9, 990 5 893,588 j 9 3 571,395 223 1 083,736 115 1,35 2 4457 1, 1003 4457 1, 100 44 571,100 4 45 7 1,100 44571,100 598,964 6 3 9,994 * 9 986 702,378 16 92 8,4 06 s 106 1 222,408 1 2 9 7, 6 7 6 64,654 7 3, 1 B 06 1,59 6 s 19 08 8,5 98 5 790,3 7 6*@ 1 3 7 6, 7 S 2 1 4 6 0, 2 8 4 @ 222 855,500* 93 745,197 7 9 1,5 9 9 224 Q 22 265,5509 218 842,613 898,467 Vc- z; k>x 958,850 215 x-2 » 236915 54 6, 765 13297,732 s x lO T 9i Check on V x 959305 99899,480 103 102 1,17 4 * x * 58773 133,150 1086,678 80 1382,940 23045 24 6, 879 1 154,936 1 4 91,5 7 6 23 0-4 5 24 6,879 E54993 571,395s 122-6,389 16 08,877 23045 2 4 6, 8 7 9 956232 9939 4, 993 13 01,6 99 1 7 3 2, 6 7 6 1 23045 246,87 9 635 07 132,576 1 8 5 9, 3 2 23045 2 4 6, 8 7 9 19 083,59 3* 23045 24 6, 879 274732 598,964 s 22t check on yv 807 5, 3713 24 888 2 3 2,8 12- 952857 99 8 90,7 68 8S 198 4, 415 2 4S88 332,812 6874 3 140,262 -"- . * 2 1 4, 3 1 4 24888 23 2,8 12 40695 392,057 3 216 961 24888 23 2, 812 2 963 32 • 6 2 9, 9 9 4 3 40695 293,057 3 32 2,6 5 9 34888 232,812 949259 9 9 886,6 11 40695 292,057 2 4 2 4, 5 4 9 37007 31 9, 783 743 77 148,049 4069S 392,057 2 7 7 2 1 9,7 8 3 43768 37 5, 356 19 12 8,4 6 9 s 27007 21 9, 783 3 1996 8 > 664,654 s 43768 2 7 5, 3 5 6 9 0' 252 6, 233 27 007 219, 783 9 45 432 9988 1, 383 43768 27 5,3 56 2 632, 178 29129 307,385 8015 1 1 5 6, 9 6 4 47143 35 9,5 34 2 7 4 6, 2 1 2 9 12 9 2 07,38 5 47143 25 9,5 34 2 37 1,7 66 39129 20 7, 385 3 45551 1 7 3, 1 8 50741 24 4,4 82 3 01 1,7 7 2 31065 19 5, 561 941237 99874,850 4 3 9, 1 1 1 3106 5 19 5,561 85516 167,346 19 088,5 98 3 2 916,6 19 3 32985 18 4, 294 439 111" 2 2 3 8 5,5 5 5 n@ 95 316 8, 008 3 72294 : 745,197s 3 34 1,810 55 32 4 '4 722.037B 93649 3 99 8 67,4 2 4 3 5 3 4, 4 4 5 8 9744 1 7 8, 9 7 8 * 3 7 4 7, 6 4 * 4 4 57,111 3 9 8 0, 8 7 7 3 9372 61 3 983 31 7 9 1,599 3 4 4 5 7, 1 1 1 3 9372 61 931257 99 859,733 4 4 5 7, 1 1 1 5068 8, 823s 3 9372 61 93170 191,276 4 4 5 7, 1 1 1 100 4 2 3 6, 126 3 937261 4 4 5 7, 1 1 1 4512,103 3 9372 61 4 722,037 4 22 958 1 842,6 13s 22 2 8 5,555»@ 222 4 807,182 3937261 55 3, 240 9 25623 99 85 1,951 S 1 1 9, 5 5 3 93 7261 22 285,550 965 00 2 3, 9 3 5 4 4 7,427 @27560827 37560,827ft® 4.45081 r 898,467 3 74811,166 s 9 19849 99 84 3, 03 6 t -Si?-,, I 103 5 790,87 6 216 1005 2 2 1 6, 7 4 7 -° ?*-£ v * . , 80 6 3, 04 2 *@ ^ -Mr = IT*' 5 465450 :. » 95 a250 3 1363940 2746,201 9 14484 99 832,654 9763083 9949 5, 571 225. Check on 10 'tf* « 76 40595 4 105007 2 3 0,27 345351 6 3 9,994 43768 996 4 84941 :. 1 02 1,17 4 s 1491576 2871,7663 * 47143 998 910256 99 831,022 9745007 99 475,353 2369 15 13 01,699 50741 109232 244,483 372294 664,654 236915 1301,6 99 545 68 99 6 23 69 15 13*0 1,6 9 9 5 04429 :. 2 108 6, 678 8 1608877 ! 3011,7723 3 36915 130 1,6 99 236915 2,994s 9 06830 99 808,724 9725268 99453,235 254993 122 6,3 89 81 58773 1133 89 2 5 9,534 398531 703,001 254993 122 6, 389 63507 996 25 499 3 1 226,339 68743 524648 :. I 1 154,936 s 1733676 i 3 168,008 3 274732 1154,936 74377 2 9 035 00 99 796,097 97036 63 99 428,605 274732 1154,936 80151 118 617 3 7 5, 3 5 6 433953 7 4 5. 1 9 7 296333 1,0 8 6,678 383466 3, 992s 546765 ;. \ 1326,389 5 1 85 9302 , 334 1,810 s 3558435 12382,513* 404 UNITED STATES LIFE TABLES. CALCULATION OF LIFE TABLE FUNCTIONS. 229. All the rates of mortality for the life tables being selected, the next step was to collect and base a life table on their complements, or p x . These values are given on the right of tape 146 for ages by months under 1 year and by years from 1 to 4 ; on the right of tape 173 for ages 5 to 79; in the middle of tape 226 from 80 to 104; and on the left of tape 205 from 105 to 115. The radix of the life table was taken as 100,000 at age 0. From the value of p x mentioned above the values of l x were determined to the nearest fourth decimal according to equation (51). In tapes 229, 231, and 232 additions of values of l x , required by equations (52) to (55) on pages 351 and 352, are made as a first step in obtaining tape 233 for ages by months under 1 year, tape 235 for ages 1 to 4 years, and tape 236 for ages 5 to 112. The machine is split between banks 14-15 and the age of the l x entered opposite it on the left; this age appears again in the total where it represents the age of the h x which will be derived from this total. Time can be saved and accuracy in- creased by entering these values of l x , as computed, upon the adding machine in tapes 229, 230, and 232 instead of making a separate copy of them. Following equation (54) on page 351, 100,000.0000 is set up on the adding machine and 95,264.8 added to it three times with the repeat key, and a total taken. Then, in accordance with equation (55), just beneath this total, 95,264.8000 is set up again with 1 in bank 15 to indicate the age of 95,264.8000. Then pi (12) , or .986,500, is set up on the computing machine and multiplied by 95,264.8, and the product, 93,978.7252, taken to the nearest fourth decimal, is entered on the adding machine beneath the 95,264.8000, and a total taken. The 93,978.7252 is then set up on the adding machine just below this total, with 2 in bank 15, and also upon the computing machine, where it is multiplied by p 2 (12) , and the process repeated. Only the work for a few ages is set down here. 230. When the equations (52) on page 351 are added the following is obtained: 100 23 L I =4lZ 1 + 106Z 2 +10lZ s +100Z 4 4-52Z B . (87) Following equation (87), \ was set up in unit's plice in tape 230 and then repeated four times in ten's place; Z 2 was set up in unit's place, again in hundred's place, and one-half of it in ten's place; Z 3 was set up in unit's place and again in hundred's place; Z 4 was set up in hundred's place; Z 5 was repeated twice in unit's place and one-half of it set up in hundred's place. The final sum is used as a check on the work in tapes 231 and 235. On the left the age is set opposite the entry of each l x in unit's place, except that 4 is set opposite 100Z 4 . 231. In tape 231 the l x added in tape 230 are again added to obtain the values for each of the four equa- tions (52) on page 351. Hence \ is set once in unit's place and repeated four times in ten's place, and to this is added Z 2 once in ten's place, the complement of Z 2 in unit's place, one-half of Z 2 in hundred's place, and a total taken. Then one-half of Z 2 is set up in hundred's place, the complement of Z 2 is repeated three times in unit's place, and to this is added Z 3 repeated three times in unit's place, and one-half of Z 3 added in hundred's place, and a total taken. The complement of Z 3 is repeated twice in unit's place, one-half of Z 3 is set up in hundred's place, and to this is added Z 4 repeated twice in unit's place, and one- half of it in hundred's place. In the same way the complement of Z 4 is repeated twice in unit's place, one- half of Z 4 is added in hundred's place, then Z 5 is repeated twice in unit's place, and one-half of it added in hun- dred's place. These four totals in tape 231 are 10 6 Lj. for ages 1 to 4 years. 232. Beginning with age 5, l x is added to l x+l according to equation (53), the age appearing in banks 16-17 opposite l x and again in the total, from which \j x will be derived. The work for only a few ages at the beginning and for ages 80 to 115, the latter being used in tapes 243 and 245, is all that is shown here. Age 112 is the last one to appear, since l x for ages higher is less than .00005. 233. According to equations (54) and (55) on pages 351 and 352, the first sum in tape 229 should be divided by 48 to obtain Lq 12) , and the other sums by 24 to obtain the remaining L< 12) . These quotients are set down to the nearest fourth decimal place in tape 233, a space being made between the sixth and seventh values, and a subtotal taken at the end. This subtotal was set up once in unit's place, once in ten's place, and a total taken, which is twelve times the sum of the I4 12) - This total is for checking purposes. 234. If the values of x from 1 to 11 months be substituted in equation (55) on page 352, eleven equations are obtained. If these eleven equations and equation (54) on page 351 be each multiplied by 12 and added together, the following equation is obtained : 12 S L< 12 > = (Z< 12) + 3Z< 12 ')/4 + (Z« 2) + /« 12 ») /2 + ° (Z 2 12 ' + Z 3 12) )/2+ .... +(l ( A 2) + l ( A 2) )/2 = Z< 12) /4 + Zi 12> /4 + 1[ 12) + Z 2 12) + 7< 12) + +l[\ 2) +l[T/2. (88)' Accordingly, one-fourth of V 12) and l{ 12) , 25,000.0000 and 23,816.2000, respectively, are set down in tape 234, followed by the other Z< 12) , beginning with lf 2) and ending with one-half of l lt the survivors to one year. As indicated by the mark ®, the totals in LIFE TABLE FUNCTIONS. 405 CALCULATION OP THE LIFE TABLE FOR MALES IN THE STATE OF NEW YORK: 1910 PHOTOGRAPHS OF ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS 19088598 12282,513 19088593 25Se,433 19088598 60602,042 19088396 £^ 19088598 9»*42,990»(J5 95442990 © 226 96 97 96 99 99 3 98 1 96 2 98 95 4 97 96 3 2 95 97 8617 06 8 5 08 42 839112 826732 3 14 070 801558 789 56 9 7783 04 767714 757545 747377 736732 725380 712823 693 823 6 6 3199 66 3819 64 655 5 623294 601912 1 3 8, 2 9 4 149,153 16 0,8 8 8 17 3^268 .1 8 5,9 3 198,442 210,431 2 2 1,6 9 6 332,286 242,455 252,623 2.6 3,218 274,620 2 8 7,17 7 3 01,177 3 16,8 01 3 34,181 3 5 3,4 4 5 3 74,706 3 9e,083 80 576387 42 3, 613 IOO 548790 451,210 519282 480,713 468049 51 1,9 51 45 5257 54 4,743 96 420912 57 9,088 105 7 2^1 793979 3\8 0«0,2O7» 227 999999 9972 80602 070 806 02042^ ) 228 \0*q x l\tfq x s ! X 96 16 739 9616 10355 11100 118 69 1 27 48 739 745 7-69 879 1 081 6 24 110 202 6 rs 13829 14 916 16089 17327 18593 1087 1173 1233 1266 1251 8 6 65 2 8 99,985 9 9,9 4 8 8o 19844 2 1043 2 217 23229 2 424 6 1199 1127 1059 1017 1016 9 9, 9 2 3 9 9,9 3 2 9 9,9 5 8 9 9,9 9 9 44 85 25262 26322 2 7 4 6 2 2 8713 3 0118 1060 1140 1256 1400 15 62 8 116 144 162 176 9° 31680 3341 3 3 5 3 4 5 37471 3 9809 1738 1927 2126 2333 2552 18 9 199 212 21* 208 9S 4 2361 45131 4 8072 3 1 1, 9 3 54474 E760 2951 3123 3279 3 4 Q2 191 172 _A_5_£. 123 173 loo 57876 61451 65303 69133 3575 3752 3 929 4104 177 177 175 105 229 x o is 1000 00 952 64 95364 952 64 3 857 94 952 64 939 78 1892 43 939 78 929 03 11 11 230 37756 872 86 175042 0,000 8, OOO 8,000 6,000' 4>000* # e,ooo 7,3 52 5,2 52* * 7,252 3,266 0,27 4 5,3 27 87286 5, 327 872865 3, 270 872865 3, 27 872865 3, 27 872865 3, 27 ! 843 4 99,5 19 421749 7, 595 64349 951,900 > 8 30 3 7 1,292 8303712 9, 200 ' 8226446 8, 700 ) 817 255,542 31735 5, 543 40,8 62 777,100 @333827664,797» 231 872 8728 8728 8728 873 8 8434 999 9 9156 4 3174 I 85553 99999156 999 99156 99999156 42174 830 830 830 41518 i 83654 99999169 99999169 " 41516 822 822 41132 I 82635 99999177 99999177 41132 817 817 4 08 62 865,327 6 5 3, 37 6 5 3,370 6 5 5,27 6 5 3, 27 9 9 5, 1 9 5 0,4 81 975,950 9 5 0, 2 8 » * 5 0,481 5 0,481 5 0,4 81 9 7 5, 9 5 3 7 1,2? 2 3 7 1,29 2 3 71,292 564,600 1 5 5, 8 1 9 » « 6 2 0, 7 O 8 6 2 8, 7 8 5 6 4, 6 6 4 4, 6 8 7 6 4 4, 6 8 7 234,350 3 4 5,*74 0* * 3 5 5,313 3 5 5, 3 1 3 334,350 3 5 5,543 255,542 7 7 7, 1 232 r 5 81984 233,160* 81735 5,542 812 85 7, 073 73836.6 4,104* 16 30 11 312 85 8 09 23 2.6 15* 7.07 3 7,420 162209 4,493* 80 81 ei .6 2 B2 83 83 84 64 85 85 66 66 67 87 88 68 6 9 89 90 90 91 9 1 92 92 93 93 94 94 95 95 96 96 97 97 9 3 98 9 9 99 100 1 00 101 1 01 102 102 103 1 OS 1 04 104 103 : 108 106 9951 85 75 18526 65 75 72 96 15371 7296 6122 13418 6122 50 61 11183 50 61 4120 '9181 4.12 33 2 74 23 33 02 26 07 59 lO 26 07 2039 4637 SO 39 1556 3587 1558 1180 27 38 1180 8 82 20 62 8 82 649 13 32 6 4 9 471 1121 4 71 336 807 33 6 234 5 70 2 34 160 3 95 16 106 2 67 106 69 175 6 9 43 1 13 .4 3 35 6 9 35 14 40 14 8 4.4 51 (49) 3,200 ^ 6,651* 3.2 00 1.5 7 3 3, 7 7 3 » 1.5 7 3 2,9 31 4, 5 4 » 3,931 4,956 7, 8 6 7 » 4,9 5 6 4,117 9, 7 3 * 4,117 7,49 1.6 07* 7,4 9 7,4 6 3 4,973* 7,4 8 2 6,20 9 3,691* 6,209 1,6 8 4 7, 8 9 3 « 1,6 8 4 3,S2"7 5, 5 1 1 » 3.8 27 1,909 5, 7 3 i * 1.9 09 9,8 24 1,733* 9,8 2 4 4,8 42 4,6 66* 4.8 42 0,8 48 5, 6 9 0* 0,8 48 B,6 3 8 9,486* 8,638 4,587 3, 2 3 5 * 587 B.365 3,953* 8.3 6 5 0,757 9, 1 2 3 • 0,7 57 1.9 2 6 683* 926 9,981 1,9 07 * 9,9 81 9,850 9,831* 9,8 50 3,336 2,08 6* 2,23 6 2,704 4,940* 3,704 0,842 3,546* 0,842 9.4 8 8 0,330* 9,4 8 8 3,997 3,485* 3,997 lrS41 5,S33« 4, 1 07 108 1 08 109 109 1 10 1 10 111 1 11 1 12 113 233 X 10 11 234 235 236 x 5 80 37 7883 77 36 77 03 76 32 75 70 7514 74 64 74 17 73 74 73 3 3 72 93 910 13 910 13 910133 1092159 1,5 41 536 2,077* 536 163 701* .165 44 209* 4 4 10 54* 10 2 12* 2 Ttl2) *-* * 3,8 3 3 1.4 69 7,522- 8,8 6 6,7.0 4 1.5 5 4, s'o 6 1,37 5 7.6 9 3,6 4 3 1,4 6 6 4,4 3, 2 6 4 3 3,2 6 4 "640 9,163*© 250 00 238 16 952 64 93 9 7 8 929 03 919 8 9 91194 904 8 9 8 98 56 8 92 8 1 687 45 6 8239 87 7 56 436 43 0,000 2,000 8,000 7,2 5 2 3, 36 6 8,08 3 2.8 3 4,397 0,9 49 3,05 9 2,5 03 4.9 16 0,37 4 2,564 1092159 9, 170* © 8 5 5 53 8 36 54 83635 8.1 9 84 333837 95 028 1 5 5, 6 b 9 3 4 5,7 40 2 3 3, 1 6 6 84,797«@ 6 1S06 B 1. 5 6 163012 81105 311 05 926 3 926 3 1852 6 7935 .7 93 5 3 3, 3 6.0* 3 3,260 66,520* 6 8,870 6 8, 8 7 1367137,740* 406 UNITED STATES LIFE TABLES. tapes 233 and 234 agree, thus checking the results for L< 12> by months under 1 year of age. 235. The totals obtained in tape 231, or L^, from ages 1 to 4 years are added in tape 235, and, as indi- cated by the mark ®, the totals in tapes 235 and 230 agree, thus checking the work on these values of h x . 236. Then the totals in tape 232 are divided men- tally by two and the results entered in tape 236 to the nearest integer; these are repeated twice by the repeat key, and a total taken. However, beginning with age 80 and continuing to age 112, the quotient to the nearest fourth decimal was entered in tape 236, in order to obtain the values in tape 243 and the measure of vitality according to sections 242 and 245. Only ages 5 and 6, 80 and 81, and 103 to 112 are shown here. The other values between ages 6 and 80 can be ob- tained from the life table on page 162, and those between ages 81 and 103 can be obtained by taking one-half of the sum in tape 232. For the benefit of the reader the ages are indicated in banks 16-17. In practice the sums can be marked off in groups of five with, a pencil. 237. The values for I x in tapes 229, 230, and 232 were copied in column 2 of the life table on page 162 to the nearest integer, so that age 105-106 is the last age interval appearing in the life table. 238. These l x in column 2 of the life table are then differenced and the differences set down in column 3. These, of course, are the d x . 239. \j x , to the nearest integer, from tapes 233, 235, and 236, is copied in column 6 of the life table on page 162, the last age interval being 105-106. It is well to check this copying of the h x , since any error in them will destroy the value of the next work. 240. The d x , section 238, are checked on tape 240 by starting with Z- 06 , or zero, and adding to it d 105 , then d 10i , d 103 , and so on, comparing the total, seen through the glass at the base of the machine, after each addi- tion with the corresponding l x . Of course, the fact that the sum of the d x is 100,000 is a check, but com- pensating errors would not change the total. To render this work more compact, the machine was split between banks 10-11, the first part of the addi- tion performed in banks 10 to 17, and a subtotal taken after the addition of deaths in age interval 45-46. Then the tape was rolled back, this subtotal set up in banks 1 to 5, and the remaining d x added. To check the deaths by months under 1 year, the survivors to age 1 year, 87,287, is set up on the adding machine, d™ added, then d^, and so on, the total after each addition being compared with the corre- sponding Z" 2> . 241. Following equation (56) on page 352, the values of T x were obtained by summing the values of ~L X in column 6 of the life table, page 162, beginning with age 105-106, and taking a subtotal after each addition, the subtotal being T x . The final total, or T , was then compared with that obtained by the operator who duplicated this work. In order to condense this addition the machine was split between banks 9-10, the first part of the addition through age interval 45-46 performed on the left of the tape, and then a subtotal taken. The tape was then rolled back and this subtotal set up in banks 1 to 7 and the rest of the addition performed. 242. According to equations (58) on page 352, X< 12) =12L< I2) /d< 12 > and X x =LJd x , where ~L X and d x are taken to the nearest integer, that is, from columns 7 and 3, respectively, of the life table on page 162, up to age 80; but from that age to age 105, h x to four places of decimals was obtained from the last part of tape 236 and the d x to four places of decimals was obtained from tape 242. Referring back to tape 232, the values of l x to the nearest fourth decimal are grouped, each two con- secutive ages together, the age of the younger value appearing opposite it on the left. These values were differenced mentally from age 80 to age 105 and the results set down in tape 242. At the end a subtotal was taken and l lw added to it, giving Z 80 as the total, as indicated by the mark @, which is only a partial check on the work, since compensating errors could not be detected in this way. However, since signs were not considered in this differencing, the usual way of check- ing could not be used as in tapes 149 to 152, and to have written these d x in an order reverse to that in tape 232 would have caused confusion in performing the divisions mentioned above. 243. From equation (57) on page 352, e x =T x /l x . T x and l x are taken to the nearest integer, or from columns 8 and 2, respectively, of the life table on page 162, up to age 80, but from that age on to the end of the life table, age 105, T x to four decimal places is taken from tape 243, while l x to four decimal places is taken from tape 232. In tape 243 the L^. are added to four decimal places, beginning with age 112 in tape 236 and ending with age 80, a subtotal being taken after each addition beginning with age 105. This gives the T^. mentioned just above. The mark @ indicates that the results for T 80 in tapes 243 and 241 practically agree. 244. These subtotals in tape 241, or T x , were then copied in column 8 of the life table on page 162. 245. The divisions indicated in the first paragraph of section 242 were made and the quotients to the nearest second decimal set down in column 7 of the life table on page 162. 246. Then the divisions indicated in the first para- graph of section 243 are made and the quotients to the nearest second decimal set down in column 5 of the life table on page 162. 247. According to equation (59) on page 352, the values of IOOOZj/Tj. were obtained by multiplying the reciprocals of the values in column 5 of the life table on page 162 by 1,000 and entering the results in column 9 of the life table to the nearest second -decimal. Bar- low's Table of Reciprocals was used. LIFE TABLE FUNCTIONS. 407 CALCULATIONS OF THE LIFE TABLE FOR MALES IN THE STATE OF NEW YORK: 1910 PHOTOGRAPHS OF ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS 241 * X TV x TV 25BS8 1 4040276 < 99510,454b 1 03 3 1,773 3 1, 77 3 103 1 45 139 4, 623 '2 9 6 32 8 0,4 9 9 3, 99 7 2 6 2, 3 4 5 2685 13 4 12 7753 99514,451* 6 3, 5 4 6 # 314 15 8 0, 7 7 4 • 1 04 1 5, 1 6 5 3 1 4 5 6, 3 6 8 3 243 ,, 1 5, 1 6 5 3 6 3, 2 5 3 3 19928 3317 7 4 3 1,5 49 3 8 1,10 5 X TV 1 05 3 0, 3 3 » 6,7 43 6,7 43 6 151 9, 621s 6 4, 1 3 6 353105 428 2, 6549 ,> r 12 1 5 8 3, 7 5 7 s 349 2 1 5 e 1,5 6 l' 6 13,4 8 6* 12 6 4, 9 9 6 336 02 6 436 4, 160s 27 1 OS 2,76 9 2,76 9 2 4 164 8, 753s 3 6 646 8 1,9 6 4 105 351 100 2 4 6 5, 8 3 4 42 46 72 444 6, 144s 1,03 9 1 07 5, 5 3 8 » 1,03 9 1,03 9 44 35 1714, 5879 6 6, 6 5 1 3834 9 4S3 02 1 8 2,6 3 5 452 8,779s 2,769 6,743 4002 1 8 3, 6 5 4 109 1 1,0413 1 03 2, 7 8 tt 3 51 79 5 6 178 1, 238 3 6 7, 4 4 7 50 3042 4 6 12,43 3 s 1 5,16 5 351 416 58 8 5, 5 5 4 2 6, 2 6 s 135 lS4e,685s 3 1,77 3 7 2« 88 6 B, 2 2 4 5 4 4 7 469 7, 9679 109 105 105 43 253 9 1,012 5 7, 9 7 9 s 22 3 1916, 909s 6 2,4 7 134 6 8, 9 7 9 56 79 53 4 7 8 9, 999 if 1 10 210» 27 27 357 198 5, 888s 448 02 T M 12 11 0,4 4 9 9 6,04 3 95 198 3 5 6 9, 7 8 6 32755 469 7, 9873 463 00 7,29 3 25 6,492 9 540 6 6 555 205 5, 5969 2 4,9 16 111 2 85 7 0,4 4 67 9055 470 5, 2803 477 47 7,33 3 100 4 4 1,408 s 84 212 6, 000s _ 34 5,954 12* 404 7.1,067 72 6802 4 7 1 2, 6 1 3 s 113 1 1 4914 7, 37 4 76 7,3 62 s 1244 219 7, 067s 56 1,3 42 5 6 1 7 1,6 9 4 775 94 2 471 9, 9873 2a 5047 3 7,4 18 134 8,704 s 1240 1805 226 8, 761s 87 9,5 61 76 6 7 2, 2 8 B B2 6 415 472 7, 4053 5174 4 7,4 6 4 222 S, 2 6 5 3 25 7 1 234 1, 0499 133 6,4 7 6 d* 103 1 3 7 2, S 5 878 15 9 4 734,869 3 6 1.BB5 529 6 7,514 356 4, 7 4 1 = K 2 4 7 11 17 26 39 53 75 10 1 1 35 179 360E 2 413,8 99 s 197 6,6 13 9 20 89 6 871 B4a 827 807 78 6 767 744 714 679 136 9 73,387 9311 19 4 742,383s 54 127 7,5 7 95 534 1,354 s 497 1 248 7, 2863 2 85 4,743 1794 7 3, 9 2 9 85 24 6 474 9, 9533 55 25 1 7,6 3 3 83 9 6,09 7 s 6 765 2 56 l,188_s 403 7, 8 4 5 , 2 3 19 7 4, 3 9 7 104049 7 475 7, 5863 5 6343 7,70 4 12 43 3,9 42 S 90 B4 263 5, 585a 56 7,333 2 955 7 4, 8 7 3 109 684 476 5, 290s 5 7408 7,787 18 04 1,2759 6 4 5 12039 2 710,458 s 7 6 6 0,8 67 6 10 577 3712 2 5 7 5, 3 3 5 1154248 477 3, 0779 58 44 9 7,8 8 5 25 70 2,142 9 2 3 2 29S 37 8 472 5 4 8 526 505 1575 1 278 5, 793s 1031 2,8 68 459 1 7 5, 7 8 8 1 212 6 97 478 0, 9623 «* 5 946 3 8,037 90 36 01 5, 010 3 46 4 20342 2 86 1,58 19 13 6 9 2,7 5 6 5 7 8 6 95 4 68 559 2 7 6, 2 3 2 1272160 4 7 6 e, 9 9 9 <> 4 57 60451 4 9 70 7,7 66 9 8 17 4 46 25934 293 7,B13s 17 9 3 8,947 9 4 1 4 40 6709 7 6, 6 6 9 13326 11 3 10 6 1 1174 433 419 32 643 3 1 4, 4 B 2 s 61412 6764 2 3 18 6, 7 1 3 3 6,8 4 6 127 9 39 4 793 6 7 7, 9 5 1 3 9.4 2 3 W 1376 1454 1536 361 328 297 4 5 7 9 92 6 3 3 09 1,577 9 2 7 7,5 01 242 90 83 2955 3,559 9 2,486 1616 1682 266 237 63)4 9 8 4 2 v -^10 67B 3 169,07 8 b X d * , 1203 8 3 7 11 6, 4 5 9 5,8 04 17 2 7 213 7 7, 8 7 8 80 13 76 2,251 .1758 195 12 79 0,6 2 7 85 157 5C 1, 8 4 9 9 17 63 185 605 20 324 6, 956s 1173 9,6 42 45 9C 9,5 3 7 1800 184 12173 7 8, 2 2 3 10 6 7,97 5 1811 19 4 9 41 0,8 3 9 203 41 1, 3 8 6 s 18 12 216 72 69 3 3325,1791 55 91 8,9 4 4 1806 251 13749 7 8,5 3 6 €5 617 6,62 7 1793 299 6 95 0,008 2 593 3 0,330s 1772 362 864 42 3 4^3,715 3 7 8,8 17 5 78 1,27 3 67 09 2,252 1732 440 15398 471 4,52 5 1 7 35 538 377 7,8 57 32642 275 8 2 s 17 16 773 .1018 40 3 482,5329 79 35 6,8 8 7 1689 1,3 13 17103 15 7 9, 6 3 90 2 98 1,9 18 1656 2,937 2 32 2,08 5 405 77 9,4 6 9 s 1618 12,713 118943 3 56 1,600 9 178 4,9.6 2 92 63 3,32 6 1573 1 8 B 4 5 79,893 135 3,9 9 4 1523 1 0,000* 1 01 2,210 80. 4 9 8 4 1 2. 7 9 5 ft@ 147 3 • 137 788 3640,8 9 39 1422 B 7,287 2061 6 7 9,4 9 7 95 74 4,851 136 4 469 53 6,22 2 1301 483 158404 3 72 0,3909 3 7 7,6 08 1242 506 22407 7 9, 6 8 7 25 8,631 119 536 17 1,9 4 5 1143 577 180811 3 8 0,07 7 9 0,i31 1106 631 24313 79,872 100 11 1078 703 6 7,614 1053 796 205024 387 9, 949s 3 9,5 3 2 1027 913 26024 10 80,061 2 1,862 1002 1,07 6 1 1,354 974 1.286 631046 3960,0109 947 4,733 27833 6 0,266 109 5,'< 91 618 8 9 1 3 0,000* 838881 40402769 9 9 5.110,4 54* 408 UNITED STATES LIFE TABLES. 248. From tapes 146, 173, 226, and 205 the values of ljOOOg^. were copied to the nearest second decimal in column 4 of the life table on page 162, according to the ages shown in columns 17-22, line 56, Table 135, page 419. 249. Then the duplicate life table values were care- fully compared. CALCULATION OF RATES OF MORTALITY JOINING THOSE UNDER AGE 5 WITH THOSE BY OSCULATORY INTERPOLATION, FOR WHITE FEMALES IN CITIES OF THE ORIGINAL REGISTRATION STATES, 1901. 250. Beginning with the left side of Table 118 on page 352, the values for the first four columns are set down in order in tape 250. As will be seen from col- umns 9 and 10, line 29, of Table 135 on page 416, 10 6 g 3 was taken from tape 146 and 10 6 q 13 and lO^ii from tape 173 of the calculation of rates of mortality for white females in cities of the original registration states, 1901, which, of course, are not shown in the preceding computations. 251. The next two columns in Table 118, page 352, are entered in tape 251, the multiplications and sub- tractions being performed mentally. A check on this work is obtained by adding the fractional part of the sum of W 6 (2-q x ) to the sum of 2(10 a q x ), the total being the sum of 10"^ in tape 250, as indicated by the mark @. The ages are entered in banks 16-17, the machine being split between banks 8-9 and 15-16. 252. The values of m x =2qJ (2 — q x ) , to the nearest twelfth decimal place, were entered on the right of tape 252, being obtained from the values in tape 251. The object in taking so many decimal places at this and several other points in these calculations was to relieve the operator of any consideration of the prob- lem of the minimum number of places necessary to insure a final check to a specified number of decimal places on the quantities or values sought or to be cal- culated. In banks 16-17 the ages are entered and the products of u x v x , obtained mentally from their values in tape 250, are copied in ink to the right of them. 253. The values of JJ X) determined from the values in tape 252, according to the formula U^ =mju x v x in Table 118, page 352, were entered to the nearest thir- teenth decimal place in tape 253. The total is 10 13 U. The ages are entered in banks 16-17, and between them and the U^ the factors of U^ are copied from the last column of Table 118. 254. The sum of the products of the corresponding values in the two columns of tape 253 was obtained by entering U 3 once in unit's place and twice in ten's place, Ui 3 once in unit's place and once in ten's place, and U 14 once in ten's place, the total being 10 13 V, according to the last column in Table 118. 255. The first four columns in Table 119, page 353, are entered in tape 255. Where a number of tables are to be computed from the values for the same ages of x, these four columns, together with the first three in tape 250 and those in ink in tapes 252 and 253, were entered in a table used to outline the work, and it was not necessary that they be entered upon the tape. 256. The deaths used in these computations are for the three-year period 1900-1902, and the population at the middle of the period would be as of July 1, 1901. In banks 10 to 15 were entered the population aged 3 on July 1, 1910, and in banks 1 to 6 the population aged 4 at this date. These were taken from column 2 of Table 148 on page 439. To these were added the com- plements of the population aged 3 and 4, respectively, on July 1, 1900, and then ten times the populations aged 3 and 4, respectively, on July 1, 1900, obtained from column 7 of Table 171 on page 462. The sum is ten times the estimated populations aged 3 and 4, respec- tively, on July 1, 1901. According to columns 3 and 6, line 29, Table 135, on page 416, P 3 and P 4 are taken from the original statistics for both 1900 and 1910, but L 5 to L 14 are taken from tape 161 for white females in cities of the original registration states, 1901. In other words, the estimation of population as of July 1, 1901, was made between population in quinquennial age groups from Tables 148 and 171; then the interpola- tion into population by single years of age was made. 257. The last four columns in Table 119 on page 353 are entered in tape 257 with the order of the last three columns reversed in order to put two columns side by side on the tape. The column of L x was obtained from tape 256, which shows here only P^ for the two ages 3 and 4. Since the deaths upon which this work is based are for a three-year period, the populations had to be multiplied by three. Hence the subtotals of each column were repeated twice, so that the final total is three times the sum of the column; that is, the final totals are 32L,,, 32y 3 L x , 32y 2 L,., and 32yL x . 258. Substituting the values of e and / from tape 253 in equation (64) on page 352, the equation for K t)GC0IH6S _ M - U2y 2 L x + VZyL, - 1 10U 3 2L, 2^-212^+1102^ * ^ At the beginning of tape 258 the deaths for ages 3, 4, 5-9, and 10-14, taken from column 11 of Table 171 on page 462, are added to obtain M. A subtotal is taken, and to this are added the other quantities in the numerator of the above equation. The decimal point is between banks 6 and 7. The values of U and U 3 were obtained from tape 253, V from tape 254, and the 32L Z , 321/L3., 32ifL x , and 32^^ from totals in tape 257. The three products were taken to the nearest sixth decimal place, as indicated by the vertical lines; the complements of the first and last products were entered. The machine was split between banks 13-14. It will be noted that the sum of these products is a negative number; hence after taking a subtotal the complement of this subtotal was added to it, thus showing that the sum of the four quantities in the numerator in the above equation for K is —2,475.529993. CALCULATIONS BY SPECIAL PROCESSES. 409 REGRADUATION OF THE RATES OP MORTALITY OF WHITE FEMALES IN CITIES OF THE ORIGINAL REGISTRATION STATES. 1901, BETWEEN AGES 3 AND 13, TAPES 250-263. AND CALCULATION OF THE MEAN POPULATION OF WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES FOR THE PERIOD 1901-1910, BEGINNING WITH TAPE 264 PHOTOGRAPHS OF ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS 250 Vk 3 -10 -11 13-1 10 14 11 1 10' ft, . * 12,17 9 2,701 2,97 4 22 17,854»(S 251 •r lO'cEg*) 3 24358 13 3 402 14 3 9 4 8 999982146 @ 17654 252 x ^«& 3 llo 122 13 -10 2 7 14 n 29 « 1987,821 1 9 9 7, 2 9 9 1 9 97, 036 3 962,146* 53618,409 04652,633)-, 7 8 42 8,92 4) (51) 17 9 36 6 9 9,9 6 6* 253 •*^_ to "u* 3 B+f-21 1113 965,310 13 f»M9 7 295 3 47, 367 14 e =10 270766 2,6 58 111396 5, 310 9729534 7, 367 2 7 07 6 6 2,6 58 I0"U |—1116 975,335# 254 111396 5, 310 1113965 3, 100 11139653,100 99 97295 34 7,367 997295347 3, 670 2707663 6, 580 10' V —2 0716719, 127 255 X. y y* y 3 3 4 1 i i 5 2 A 8 6 3 9 27 7 4 18 6 4- 8 5 25 12 5 9 6 36 216 l-o 7 49 343 1 1 a 64 512 12 9 81 729 13 10 1 00 1,000 14 11 121 1,331 256 14581 9 9 8 8 8 71 111281 2 13 7,38 8 999 8 9 1,0 2 1089,75 1147341 1118,162* 257 1147 34 111816 115343 1096 5 1 10 49 5 101189 98315 9627(5 95 022 94499 946 5 6 «!*. 111,8 16 92 2,7 44 2 9 60,5 7 7 6716,800 1264 8, 625 2123 6, 040 3302 2, 668 4865 1,26 4 6886 9, 771 9465 6, 000 95441 12703 1,9 71 1231892 41684 8, 2763 1231892 416848,276 1231892 4 16848,27 6 3695674125054 4, 828* 322 111816 46 1372 98 6 85 9 1679200 25 29725 35 393 40 4717524 6081408 7654 419 946 5 6O0 115 48361 V'L, 3$5jflur # 111,3 15 230,686 3 2 8, 9 5 3 4 1 9, 8 O 505,943 5 8 9,890 6 7 3, 9 3 2 7 6 0,17 6 6 5 0,4 9 1 9 4 6, 5 6 1 049,351 48775624 646 8, 1003 487756 2, 4 646 8, 100 48775624 6 4 6 8, 100 1463 2 68 7 219 404,300* 258 M-UQZVW+VW EyLJ-IIOUjO EL*) 4126 3107 7818 3900 M — 18 951 99 836 55 4 0203 99 5 4714 19997524 2 475 6 4 9, 3 1 3 3 2 4, 1 6 1 5 9 6, 5 3 3 4 7 0, 7 a 5 2 9,993 3 E j 3 Lj:-2l(3E^La.) +IIO(3ryL x )' 12505 44828 998536 73 138 98536731380 9.85367 312B0 194043000 19404300 00 312153516 259 .100 X-H9 992069511, 000 79304 8, 900 1116 97 5, 335 9979261 280,873 SiTlj 260 9 9 7 3 260 816, 10 8» * * 99999206 9 5,110 999960347 5, 550 999952417 0,6 60s 999762085 3, 300 285497 6, 040 285497 6, 040 1116 97 5, 335 111697 5, 335 7 8 9 10 11 5 99 9 9 4 99 99 4 99 99 3 99 9 9 3 99 99 2 999 9 2 •993 1 99 99 1 999 9 08892 524 17 613 09 524 17 137 26 524 17 6 61 43 524 17 185 60 5 24 17 709 76 524 17 2 33 95 524 17 758 12 524 17 282 29 524 17 6,710s 0,6 6 7, 3 7 3 0,6 6 8, 3 3 0,6 6 8, 6 9 3 0,6 6 9, 3 5 3 0,6 6 0,0 10 a 0,6 6 0,6 70 3 0,6 6 1,33 3 0,6 6 1,99 s 0,6 6 5 06 4 62,6500 261 262 j: 3 ® 263 99 73 2 60 816, 108 508892 6, 710 99 783 4 9 742,818 9 461309 7, 370 996296234 0, 188 3 413726 8, 030 9987100 108, 2 '18 3 3 6 6 1 4 3 e, 6 9.0 999076154 6, 90 s 318560 9, 350 999394715 6, 258s 270978 0, 010 999665693 6, 268s 223395 0, 670 999889088 6, 9383 1758 12 1,330 64900 8, 2683 12 62 2 9 1,9 90 1931300,258! 806 46 2,650 2 73 7 7 6 2,9 08 » 1225361 84)090 9973260816,108' 9579700 0, 198s 997834974SJ818, 741 46 7 4 3,01 6 s 9 9 82962640,1 8 8, 57109 583,204 s 9967100 1 08,218 4.4209691,423 s 9990761 546,908 34971 238,330 s 9 9 93 947 1 5 6,25 8' 28918394,5 68 9 9996656936,268 2557333 0, 856 s 9 998690 666,9 3 8 24466217,794 s 649 00 £42 68 23113226,062 s 193130 0,2 58 27046526,320 s 273 7762,908 29784 269,226 n L. «i X *0'q x 140591 107116 65 5 6 2 6 463 35 3 2 84 2 4 6 232 237 25 6 2 34 63 16 63 16 63 16 M— 1 8 9 5 23 21 9 a 6 7 3 1 23 4 8 3 4 01 26 99 9 9 9 9 12,179 9.3 34 7,387 5,6 9 5 4.4 11 3.4 9 1 2,880 2.5 5 4 2.4 44 2.5 08 2,70 1 2,97 4 5-6,7 6 6* 97 @ 264 X 1 6 6 6 1 0— P|„„-Ap„|.|S 9764 36B— P,„.-J„ n «... rff_ -*. 1.1 9 4 762.43 .07 728 06 7, 00 7 2, 8 1 4, 5 6 1,09 2 ■.07728155,4524 /ay Zog /•—. o 7 8 25 9 8 0,20 4 T 5 9 2-* ,.Z /^v r« r - -00456 515,513 -.180199 6, 543 -1.197 4 5 66,4 -1.01 05 6 7 1,0 O" -1,1 073 4 37,5 9 /*/)Uj+/U,3+ eTJ.* # 1113 96 5,310 11139 65 3,100 111 39 653,100 999729534 7, 3 67 997295347 3, 670 27 076 68 6,5 80 10' V »20716719,137« 255 £. .9 V y 3 4 i 1 i 5 2 4 8 6 3 9 27 7 4 la 64 8 5 25 125 9 6 36 216 1 7 49 343 1 1 8 64 512 1 £ 9 81 729 13 10 100 1,000 14 11 121 1,331 256 14581 9 986671 111281 2 137,38 8 999 8 91,02 1 8 9, 7 5 1147341 1118,162* 257 1147 34 111816 11S343 10965 1 10 49 50 101 189 98315 96276 95 022 94499 94656 95441 111,316 922,744 2 960,577 6 7 1 6, 8 12 648,625 2123 6, 040 3302 a, 66B 4 865 1,2 64 6886 9, 771 9465 6, 000 12703 1, 971 1231892 416848,2763 1231892 41684 8,27 6 1231 892 43 6 849,27 6 36 95676 1250 54 4,828* 1118 16 fyLj, 46 1372 98 6 85 9 16 79 2 00 25 29725 35 39 3 40 JC»3 - # 11 1,8 16 2 3 0,6 8 6 3 2 8, 9 5 3 4 1 9, 8 5 5, 9 4 5 5 8 9,890 4717524 67 3, 932 6081408 7 6 0,17 6 7654419 85 0,4 91 9465600 94 6, 560 11548361 104 9,8 51 48775624 646 6,10 03 48 77 5 62,4 6 46 8,100 4877562 4 646 8, 100 1463 2687 21 9 4 04,300* 258 4126 3107 7818 3 900 M — 16951 £9836 55 4 02 03 99 54714 19997524 2475 261 © 6 4 9, 3 1 3 3 2 4, 1 6 1 5 9 6, 5 3 3 470.0071 5 2 9, 9 9 3 3 Ey 3 Lj;-2lff C^Ltr) +II0(3E^L^) 1 12505 44828 998536 73126 98536731280 985367 3 12B0 194043000 194043 0000 312153516 259 5 m 3 260 S'm 100 K~H9 992069511, 000 793 04 8, 900 111697 5, 335 997928128 0,673 9 10 11 99732 6 0816, 1089 ■* » 999992069 5, 110 999960347 5, 550 999952417 0,6 60s 999762085 3, 300 285497 6, 040 285497 6, 040 1116 97 5, 335 1116 97 5, 335 5 088 999 9 524 4613 99 9 9524 4137 99 99 524 36 61 99 9 9524 3185 99 99524 2709 9999 524 22 33 99 9P 5 24 1758 999 9 524 1282 999 9 5 24 9 2 6,710s 17 0,660 9 7, 3 7 3 17 0,660 2 6 8,030 3 17 0,660 4 3 6, 6 9 3 17 0,660 6 9, 3 5 3 17 0,660 7 8 0, 1 a 17 0,660 95 0,67 3 1 7 0,6 6 12 1,330 3 17 0,660 2 9 1,9903 17 0,6 6 806 4 6 2,650* 262 263 P9 73 2 60 816,108 5 8 8 92 6,710 997834974 2, 818s 461309 7, 370 99 82 9 62 8 4 0.188 s 413736 e, 030 99 8 7 100 108,2"18 3 • 3 6 6 1 4 3 8, 6 9.0 999076154 6, 90 3 3185 6 09,350 9993 947156,2583 270978 0, 010 999665693 6, 268a 223395 0, 670 999889088 6, 938s 1758 12 1,330 64900 E, 268s 128229 1,9 90 193130 0, 258s 80646 2, 650 2 737 762,908* 12 25361 84,090 9973260816, 10 8 ! 95797000,198 3 9978349742,8181 7414674 3,0 16s 9982962?- 4 0,1 88 57109 583,204 3 9987100 1 08,21 8 44209 691,422 s 9 9 9 7 6 1 5 4 6, 9 8 34971 236,330 a 9 93 94 7 1 5 6,2 5 8' 2891 8394,588 s 9996656 936,268 25573330,856 s 9 998890 886,93 8 24466 217,794s 649 008,268 3311 3226,0 62 s 1931300,298 27046526,320's 273 7762,908 29 7 84 289,22 8*. L* -W- 07 728 155,453* log r— o 7 8 25 9 8 0,20 4 tog ri-.004 56 5 1 5,513 *ri- "" sfTz — .18 01 9 9 8,543 -1.1 974 5 66,4 -1.0105 6 7 1,0 "" -1.1 07343 7,59 /S .551152536,5 265 X 1910 19 00 1 00 6 6 7 7 9 68 1 01 19 2 1 991 1 03 13 1S , 10 1 03- 9 i &; 94 6 104 9 1 46 105 6 7 997 106 5 6 961 1 07 5 6 961 1 08 1 1 15 109 1 10 1 1 1 6 1 11 1 1 16 1 13 1 13 114 1 1 16 1 15 1 1 16 136 1 5 7." 5,$ CO* 158/136- 1,1 61764,706* 266 &£• <•»<* JT+4 «j: 1900 O 212913 24 6, 894 192081 22 0, 149 201087 24 0,4 46 3 203444 33 6, 536 809525 201067 19 83 7 5 19 9 07 3 194 9 28 19 2272 2 2 7, 6 8 2 3 1, 1 6 2 2 0, 5 7 7 2 1 5, 1 4 9 2 10,272 9 6 5715 1094,226* 18477 188 625 17 6 004 17 7 9 8 172 162 2 02,69 4 3 8, 9 5 8 1 9 7, 3 6 3 2 1 3, 6 3 3 2 5, 3 8 6 8 99 46 9 1 02e,034* niisi 1755 45 18119 8 17 83 06 185 43 3 2 7, 6 4 5 3 0,3 52 2 2 3,3 41 3 1 5, 7 8 1 3 3 8, 9 2 895933 1064,921* 412 UNITED STATES LIFE TABLES. CALCULATION OF THE MEAN POPULATION OP WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES FOR THE PERIOD 1901-1910 PHOTOGRAPHS OF ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS 267 269 X 19 00 270 1910 271 •2T 19 00 19,10 » r„- 1.001 348,232:* r„= 1.000 853,86 4« X A 309525 944,035 6 105 35 48 9 4 4831 9 1 3 4, 2 9 6 4 965715 10S(, 22 6 4 9 B 6 945 40 4 1095160 34 4 108,215 9 8B'S469 1028,034 9 9 005 52 975 9 1028912 982 9 1 2 9, 3 2 895933 1 064,931 897 051 5 3 1 8 5 8 4 \8 9 40 188,797 944025 1152,131 94.5 2 03 3 6 1153145 90 1 2 7, 9 42 940239 109 E, 642 9 4 1413 964 1099500 11 1 5 9, 1 6 7 29 756489 92 9, 972 29 75 9 466 970 29 9307 66 9 29 13 1,2S0 34 712141 89 3, SOI 34 7 13 030 952 34 .8 9 43 64 3 34 16 1,3 3 4 620054 76 8, 218 (iS0886 997 7 6 8874 997 1 4 8, 4 6 498042 64 0275 4 9 D 6 64 967 6 4 08 22 97 2 142,158 435974 56 Ij09 9 4 3 6 5 18 20 5 6 1578 11 1 2 3, C 6 54 353983 42 3,07 8 5 4 3 5 4425 96 5 5 4 423 4 39 26 54 6 9,014 5 9 294ie0 34 4, 915 5 9 29 43 47 20 5 9 3 4 5 2 10 952 5 9 5 0,6 6 3 ! 225196 27 4, 039 22 5 477 10 2 7 4 2 7 3 4 S, 7 9 6 156723 19 3, 414 156 919 963 19 3 5 7 9 15 3 6. 6 6 S9968 12 4, 644 100093 978 12 4 7 50 43 24,657 79 52711© 6 3, 158 84 21852 2 7, 8 4 6 7 9 52777 © 980 7 9 63212 @ 993 7 9 10435 © 84 21879 28 B4 27 870 979 84 5,9 91 6391 8, 098 6 3 99 990 8105 991 1,70 6 133 4 1,5 6 13 36 967 15 61 33 225 2 17 191 217 27 191 16 999999 9, 974 104 30 26 104 30 4 1 04 26 2 104 999999 9, 996 109 2 2 109 2 10 9 ,2 109 114 2 2 114 2 114 2 1 a 114 9752195 11656 147 s 9764368 1 5, 21} 116 66 099 B,998tt 1901, 732s Unin.un|lS17 3 9,9 5 3 9 7 6 4, 3 6 8 A 3" ' ^-^ '9764368 1166 6, 100 :> (56) 11 6 6 6, 10 0«@ 268 - * >.t tt 79 13097 1 5, 5 2 " 7 9 13113 35 7 9 15 5 33 25 7 9 2,430 14760 17, 573 14778 42 17 5 8 8 1 2,810 9195 10, 356 9 20t' 8 4 60 94 3 103 65 984 1,155 8449 10 725 955 107 34 16 2,27 4 83 7210 8,984 93 7 219 es e 992 967 83 1,77 3 5 2 7 1 1@ 6 3, 1 5 8 tt 5277lj 7 @ l,9S0tt 63 212@ 1,9 9 3?; 10.4 3 5*@ tt tt tt ^ tt 84 6366 8, 111 84 6374 995 64 8118 993 84 1,7 4 4 5331 6, 905 5 3 38 965 6 911 990 1,5 7 3 4 5 5 5, 2 9 40 61 6 5213 45 1,152 3453 4, 260 34 57 31 42 64 964 807 ee 2646 3, 361 68 2649 30 ee 33 64 987 88 715 21652 2 7, 8 4 6» 2 18 7 9 2, 2 7 * 2 7 870 3, 9 7 9 4? 5, 9 9 1 » tt » « tt B 9 2033 2,641 69 2 036 95 4 e 9 26 43 26 89 607 1896 2, 341 1898 37 2343 445 1023 1,256 1024 28 1257 7 233 83 5 1,07 1 8 36 4 1072 991 236 93 6 04 789 93 6 05 975 93 790 9 67 93 185 6391 8, 9 8 tt 6399 l,9 98tt 8105 1,9 9 1* 1,706* * * tt tt 94 46 8 5 48 94 4 69 958 94 54^9 947 94 80 34 6 485 34f 943 485 41 136 23 9 254 239 30 2 54 22 15 153 144 153 19 14 4 12 999999 9, 991 98 12 6 129 93 126 16 98 129 11 98 3 13 3 4 1,5 6 0* 13 3$ 6 1,9 6 64 1 5 6S| JT33» 1 2 2 5 « tt 9 9 93 85 9 9 93 tt 12 99 85 # 7 99 999999 9, 992 77 66 77 10 66 6 999999 9, 989 21 18 21 3 16 2 999999 9, 997 13 13 15 2 13 1 999999 9, 998 103 11 9 103 11 1 03 9 1 1 03 999999 9, 998 2 17 1 9 1 » 217 27 A 191 17 » 4 9 99 9 9 9 9,9 7 4« tt « tt tt" 10 4. 10 9 104 10 1 104 9 1 104 999999 9, 999 7 6 7 1 6 1 999999 9,9 99 6 5 6 1 5 999999 9, 999 6 5 6 1 5 999999 9, 999 198 1 1 108 1 108 1 1 08 3 2 6 tt 30 4* 2 6 2« 3 9 999 999,9 9 6» 109 109 » .10 9 » 10 9 tt 110 1 1 1 1 111 1 1 1 1 1 12 1 13 113 113 113 2 2tt 2 tt 2 tt # tt tt O 114 1 1 1 14 1 114 1 « 115 1 1 115 1 115 1 1 14 1 15 2 2» 2 tt 2 tt CALCULATION OF MEAN POPULATION. 413 on page 354. Then the value of the constant = (a-l)/(r U8 - 5 ' 120 -l) from equation (76) on page 354 was set down. 265. Since the census report for June 1, 1900, does not show the populations by single years of age 100 years and over, these were estimated by assuming that the populations by single ages for these years in 1900 and 1910 were proportional to the total popula- tions 100 years of age and over in 1900 and in 1910. The machine was split between banks 3-4, 5-6, 10-11, and 14-15. On the left of tape 265 the ages were entered; then the populations by single years of age 100 years and over in 1910, taken from column 8 of Table 174 on page 465, are added. Beneath this is shown the ratio Of the population 100 years and over in 1900 to that in 1910. This ratio is carried to the nearest tenth significant figure to fill the ten-place computing machine used. The integral parts of the products of this ratio times the numbers under 1910 in tape 265 are entered in corresponding positions in banks 6-8, while the fractions are entered in banks 1-3 to the nearest second decimal. When the fraction was .50 or over it was preceded by 9 in bank 3 and the integral part was increased by unity. This kept the total sum of integral parts plus fractions almost exactly correct. When the sum of the fractions was .50 or over, this indicated that another integral should be increased by unity, and the one whose fraction was nearest to .50 was selected. In this case 10.46, the population for age 103, was changed in ink to 11 plus 9.46, the 9 serving to subtract .54 from the total of the fractions instead of the .46 being added to it. This reduced the difference between the sum of fractions less than .50 and the sum of increases made in the integers to zero. Then the sum of the integral part was changed from 157 to 158, which is the number of persons 100 years of age and over in 1900. Since the population for ages 103 and 104 were the same, the increase was added to the younger age. 266. The populations enumerated on June 1, 1900, and April 15, 1910, by single years of age are shown in columns 2 and 3 and also in columns 7 and 8, respec- tively, of Table 174 on page 465. The fifth difference oscillatory formula requires the original data in five- year groups. Hence labor was saved by determining the mean population for the period 1901-1910 by five- year groups instead of by single ages. The group re- quired is 4-8, 9-13, 14-18, etc., thus leaving the group 0-3 unused. For checking purposes the mean popula- tion for this group is also obtained. Hence in tape 266 the additions of the first four groups, 0-3, 4-8, 9-13, and 14-18, are shown, the population in 1910 on the right, that for 1900 in the center, and the ages at the beginning and end of each group on the left. 267. The totals obtained in tape 266 were then added in groups of five, the group 0-3 being set off by itself. After the addition of these totals a subtotal was taken and the populations of unknown ages, shown at the bottom of columns 7 and 8 of Table 174 on page 465, were added, giving as totals the population at all ages at the beginning of columns 2 and 3 of this table, and also at the beginning of tape 264. This serves as a check on the work. 268. Since the computation of the life table from tape 174 to tape 187 requires population by single years of age, beginning with age 79 and extending to the end of life, these were copied from columns 7 and 8 of Table 1 74, page 465, and from tape 265 for ages 100 years and over and added in groups of five. The total should agree with those shown for the same age groups in tape 267, as indicated by the mark (§) . Of course, in actual prac- tice this work would be shown at end of tape 266. 269. In order to distribute the population of un- known ages among those of known ages, the ratios of the total population to that of known ages, as shown in the totals and subtotals of tape 267, respective!} 7 , were obtained to ten significant figures and the 1900 ratio entered at the beginning of tape 269. This ratio, 1.001248232, was set up on the computing machine and each of the numbers on the left of tapes 267 and 268 multiplied by it, the products being en- tered in tape 269 just opposite the factors. The machine was split between banks 3-4, 6-7, and 14-15, the integral parts being entered in the center and the fractions on the right. On the left the initial age of each two out of five groups was entered. As in tape 265, where the fraction is .50 or over, it is preceded by 9 in bank 3 and the integral part increased by unity. The total of the fractions less than .50 diminished by the additions made in increasing the integral part by unity is .02 and the sum of the integers is 9,764,368, which agrees with the corresponding total in tape 267. The populations by single years of age from 79 years to the end of life were then added in groups of five and their totals checked to those for the same age groups above, as indicated by the sign © . In the group 79-83 the total of the integers is 52,776 and that of the frac- tions .80, showing that another integer should be in- creased by unity. Accordingly, the population for age 81, whose fraction is .48, was increased by unity, 9 placed before the fraction, the total of the integers increased to 52,777, and 9 added in bank 3 in the total of the fractions ; this result agrees with the one for this group shown above. These changes were made in ink. 270. Work for 1910, similar to that for 1900 in tape 269, is shown in tape 270. The ratio of total popula- tion to population of known ages, 1.000853884, is entered at the top and the numbers on the right of tapes 267 and 268 multiplied by it. 271. The integral parts of tape 269 were subtracted from corresponding integral parts of tape 270 and the remainders entered in corresponding positions in tape 271. Where the remainders were negative their com- plements were entered. At the end a subtotal was taken and 9,764,368, the total population from the 414 UNITED STATES LIFE TABLES. left side of tape 267, was added to it, so that the final total is 11,666,100, the population in 1910 from the right side of tape 267, and this served as a check on the work, as indicated by the mark ®. The differ- ences of population by single years of age were s umm ed in five-year groups and their- totals compared with the differences for the same age group just above, the equality being indicated by the sign © . 272. The factor /? from tape 264 was then set up on the computing machine and multiplied by each of the differences in tape 271, the ages being entered on the left, the integral part of the product in the center, and the fractions on the right of tape 272. In the case of negative differences, /3 was multiplied by their complements, and then the complements of the products were entered upon the machine. Since the sum of the fractions which were dropped, diminished by the increases required to raise the integers by unity, is 8.94, it appears that one more increase was made than is required by the sum of the fractions. Hence, of the integers that were increased by unity the one having the smallest fraction was reduced. Accord- ingly, 74,018 was reduced to 74,017 and the 9 preceding its fraction was dropped, so that the total of the in- tegers became 1,048,144 and that of the fractions 9.94, which indicates that the sum of the increases exceeds that of the fractions that were dropped by .06. Then the sum of the differences in tape 271 was multiplied by j3 and the product entered just below the total taken on the machine. It will be noted that they agree exactly, and this serves as a check on the work. The sum of the fractions in group 104-108 is 1.80, showing that two integers should have been increased by unity. Since all four differences in this group are equal, those for ages 104 and 105 were increased to zero. Hence, the fractions for these ages were pre- ceded by 9's, the total of the integers increased to minus 2, or 9,999,998, and that for the fractions re- duced to 9.80, which agrees with the product shown above for this group. 273. a= 1.107343759 was then set up on the com- puting machine and multiplied by Piooo-jone-i, from tape 264, the total number of females on June 1, 1900, and the product to the nearest integer entered upon the adding machine. This value was obtained ac- cording to equation (77) on page 354. 274. The integral parts of the products in tape 272 were then added to the corresponding populations in tape 269 and the sums set down in tape 274. These values were obtained according to equation (76) on page 354, and it will be noted that the total mean populations by these two processes are equal, as in- dicated by the mark ® . The populations by single ages 79 years and over were then added in groups of five and their totals compared with those for the same groups shown above, as indicated by the mark ®. CALCULATION OF THE MEAN POPULATION OF WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES FOR THE PERIOD 1901-1910 PHOTOGRAPHS OF ADDING MACHINE TAPES USED IN CONNECTION WITH NUMERICAL COMPUTATIONS 27Z 274 £ OA H +/3A T-.5 51152 2, 885* X Mearx Popuf»tio»r 1901 - 1910 7401V Sf55 684.552 4. 9 59 6 43 994 70724 986 104056 990 114608 97 1 6 7174 10 4 9 1 046,588 9 71,316 1003,107 1 059,811 1 02B.5&7 2 9. 34 72355 27 99943 965 e 1 5 96 98 9 78 3 51 971 CB 927 11 2 9 34 871,841 «1«,97 3 702,424 5771013 505,443 5 4 5 9 3 E 037 22 27 923 3 2 6 8 94 3 2 0205 24 13 5 90 97 6 54 59 392,462 322,470 352,371 177.1Z* 113,683 7 9 e4 5751(5») 27 3302^ 99 5. 940 27 124 1 999986 967 7 9 84 5 6.528 65) 2 5,131 7,33 9 1,460 203 1 04 10 9 114 999998 980 10481 4\* 11.^9 4« 1 04 1 09 1 14 2 S 2 10012,512*@ 1048144 99 1« 7 9 83 1334 979 15 4 9 97 4 6 38 23 12 53 32 97 7 19 5 7 5 1@ 2, 2 7 * 7 9 63 14,447 1 6, 3 £ 7 9,8 4 5 9,713 8,19 6 5 6,5 2 3,1© 84 6a 961 21 8 67 99 6 6 35 99 3 4 45 978 394 7 3302 2, 9 9 5 « 84 83 7.3 3 5 6,20 5 4,6 9 6 3.9 02 3.04 3 2 5,181» 8? ft 3 35 955 245 2 6 128 42 130 7 89 ,2,37 1 2,143 1,152 93 102 99 6 9 4 2, 2 6 Si 93 9 6 6 707 7, 3 3 9 » 94 93 ft 4 4 9 75 99 6 e 27 99 9 995 4 2 965 1 124 2, 1» 94 99 513 42 4 247 140 128 1,460* 99 •A 999996 9 5^9 89 71 19 999994 994 9 9 999998 35 999999 990 1 03 999999 990 4999986 3, 9 6 8 » 1 03 14 10 203« 104 * 00 000° 9 45 9 009000° 945 104 99 9999 45 6 9 9 9 999 45 6 1 08 6 9 1 Od 1 399999\ 8 Z80« 109 110 111 112 1 13 38» 4 1 1 273 114 116 2« « 1 1 9 764366 CC- 1081 3, 512* @ 2« TABULAR OUTLINE FOR CONSTRUCTION OF EACH LIFE TABLE (415) 416 Table 135 UNITED STATES LIFE TABLES. TABULAR OUTLINE FOR CON GIVING AGES AND SOURCES OF DATA TO WHICH THE PROCESSES DESCRIBED IN SECTIONS 137 TO 274 Number of table. 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 37 38 39 40 LIFE TABLE. Original Registration States: Both sexes— 1901 1910 Males— 1901 1910 Females — 1901 1910 White males— 1901 1901-1910 1910 White females— 1901 1901-1910 1910 Negro males— 1901 1901-1910 1910 Negro females — 1901 , 1901-1910 1910 Native white males — 1901 1910 Native white females — 1901 1910 Foreign-born white males — 1901 1910 Foreign-born white females — 1901 1910 White males in cities — 1901 1910 White females in cities— 1901 1910 White males in rural part — 1931 1910 White females in rural part — 1901 1910 District of Columbia: l Negro males: 1901-1910 Negro females: 1901-1910 Indiana: Males— 1901 1910 Females— 1901 1910 Birth data used: com- puted, C, and regis- tered, R. Quin- quennial age group used for osculatory interpo- lation. Ages. 4-8 4-8 4-8 4-8 4-S 4-8 4-8 4-8 4-8 4-8 4-8 4-8 4-8 4-8 4-8 4-8 4-8 4-S 4-8 4-8 4-8 4-8 4-8 4-8 4-8 4-8 5-9 4-8 5-9 4-8 5-9 4-8 5-9 4-8 4-8 4-8 5-9 4-8 5-9 4-8 DATA USED IN JOINING 1x IN TAPES 146 AND 173 BY METHOD SHOWN IN TAPES 250 TO 263. Single ages of popu- lation from — Original statistics. 3-4 Tape 161. Ages. Sums of deaths from — Original statistics. Tape 168. Ages. Ages. 1x from — Tape 146. Ages. Tape 173. Ages. 3-14 3-9 3-14 3-9 13-14 13-14 i See Type V in section 275, page 423, and the fourth paragraph in section 276, page 424. OUTLINE FOR CALCULATION OF EACH TABLE. 417 STRUCTION OF EACH LIFE TABLE. Table 135 WERE APPLIED TO OBTAIN THE RATES OF MORTALITY UPON WHICH THE LIFE TABLES WERE BASED. Number of table. 10 11 12 13 14 15 16 17 IS 19 211 21 22 23 24 27 28 29 30 31 32 33 34 35 36 37 38 CONSTANTS IN WITT3TEIN S FORMULA BASED ON G_ Tape 173. Tape 186. Ages. 80-94 80-94 80-94 80-94 93-102 79-93 « 86-95 95-104 95-104 86-95 89-98 95-104 87-96 96-105 95-104 80-99 86-95 93-102 85-99 88-97 93-102 86-95 95-104 85-94 96-105 92-101 82-101 1x TO BE GRADUATED BY SPENCER'S 21-TERM FORMULA FROM— Tape 173. Ages. {') (') 60-89 70-88 60-89 70-94 60-89 70-89 70-89 60-88 70-88 70-94 50-80 50-74 70-89 50-97 50-83 70-89 60-89 70-89 60-88 70-90 60-89 70-90 60-89 70-89 60-87 70-89 60-92 70-91 60-91 70-89 60-94 70-94 50-74 50-98 60-86 70-90 60-91 70-89 Tape 186. Ages. 90-94 95-102 90-96 90-101 89-94 89-100 95-102 81-83 75-86 90-93 90-100 89-94 91-99 91-99 90-99 92-101 Tape 205. lfi Ages. (>) (') 90-115 103-115 95-115 103-115 90-115 97-115 102-115 95-115 101-115 103-115 84-115 87-115 94-115 98-115 84-115 101-115 90-115 98-115 95-115 100-115 90-115 100-115 90-115 103-115 88-115 100-115 93-115 102-115 92-115 100-115 95-115 100-115 88-115 99-115 87-115 100-115 92-115 100-115 Tape 146. 17 Ages. 0-4 0-4 0-4 0-4 0-4 0-4 0-4 0-1 0-4 0^1 0-4 0-4 0-4 0-4 0-4 0-4 0-4 0-4 0-4 0-4 0-4 0-4 0-4 0-4 0-3 0-4 0-3 0-4 0-3 0-4 0-4 0-4 0-4 0-4 0-3 0-4 1x ON WHICH LIFE TABLES WERE BASED FROM — Tape 263. Ages. 4-12 4-12 Tape 173. Ages. 5-75 5-88 .5-76 5-83 5-75 5-84 5-76 5-82 5-85 5-70 5-87 5-85 5-73 5-64 5-79 .5-74 5-74 5-79 5-71 5-82 5-72 5-84 5-74 5-84 5-72 5-84 5-85 5-85 13-74 5-83 8-72 .5-85 13-75 5-83 5-64 5-60 5-70 5-84 8-75 5-84 Tape ISC. Ages. Tape 220. Ages. (') 0) 77-98 84-100 76-101 85-104 77-99 83-99 86-103 71-101 88-104 86-105 74-94 65-95 80-103 75-101 75-93 80-103 72-91 83-105 73-99 85-103 75-89 85-104 73-95 85-105 75-102 84-105 73-96 86-105 76-101 84-99 65-105 61-102 71-95 85-104 76-96 85-105 Tape 205. Ages. (') (') 99-115 101-115 102-115 105-115 100-115 100-115 104-115 102-115 105-115 106-115 95-115 96-115 104-115 102-115 94-115 104-115 92-115 106-115 100-115 104-115 90-115 105-115 96-115 106-115 97-115 104-115 103-115 106-115 97-115 106-115 102-115 100-115 106-115 103-115 96-115 105-115 97-115 106-115 l Tbo Wittstein and Spencer formulas were not used directly in computing the both sexes rates of mortality; -instead tbe averages of the rates of mortality in the male and female life tables were used from ages 76 to 115 for the 1901 both sexes life table and from ages 90 to 115 for the 1910 both sexes life table. 150822°— 21 27 418 UNITED STATES LIFE TABLES. Table 135 TABULAR OUTLINE FOR CON GIVING AGES AND SOURCES OF DATA TO WHICH THE PROCESSES DESCRIBED IN SECTIONS 137 TO 274 Number of table. LIFE TABLE. Birth data used: com- puted, c, and regis- tered, R. Quin- quennial age group used for osculatory interpo- lation. data used in joining q x IN TAPES 146 AND 173 BY METHOD shown in TAPES 250 TO 263. Single ages of popu- lation from — Sums of deaths from— 1x from — Original statistics. Tape 161. • Original statistics. Tape 168. Tape 146. Tape 173. 1 a 3 i 5 6 7 8 9 10 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 Massachusetts: Males — 18901 C B R c R E C C c c c c c c c c c R R R R c c c c R c R c R c R Ages. 5-9 5-9 4-8 5-9 5-9 4-8 5-9 4-8 5-9 4-8 5-9 4-S 5-9 4-8 5-9 4-8 5-9 4-8 5-9 5-9 5-9 5-9 5-9 6-9 5-9 5-9 5-9 5-9 5-9 5-9 5-9 5-9 5-9 5-9 Ages. 3-4 Ages. 5-16 Ages. 3-14 Ages. 15-16 Ages. 3 Ages. 15-16 1901 Females— 1890 ' 3-4 3-14 5-16 3-14 3-14 15-16 3 3 15-16 13-14 1901 Michigan: Males — 1901 Females — 1901 3-14 3-14 3 13-14 New Jersey: Males — 1901 1910 Females — 1901 .... 1910 . New York: Males — 1901 1910 Females— 1901 ... 3-14 3-14 3 13-14 Boston: Males— 1901 3-4 3-4 3-4 3-4 5-16 5-10 5-16 5-10 3-14 3-9 3-14 3-9 15-16 10 15-16 10 3 1.5-16 1910 3 9-10 3 15-16 3 9-10 Females — 1901 1910 Chicago: Males — Females — 1901 3-4 5-16 3-14 15-16 3 15-16 New York City: Males- i Females — 1901 3-4 5-14 3-14 3 13-14 Philadelphia: Males — 1901 3-4 5-14 3-14 3 13-14 Females — 3-4 3-4 5-14 5-14 3-14 3-14 3 3 13-14 13-14 i See second paragraph of Type VI in section 275, page 423, and the last paragraph in section 276, page 424. OUTLINE FOR CALCULATION OF EACH TABLE 419 STRUCTION OF EACH LIFE TABLE. Table 135 WERE APPLIED TO OBTAIN THE RATES OF MORTALITY UPON WHICH THE LIFE TABLES WERE BASED. Number of table. 41 Ages. 78-92 42 80-94 4:) 44 78-92 45 80-94 46 49 50 51 52 53 54 55 56 57 58 59 60 CONSTANTSIN W1TTSTF.IN FORMULA BASED ON FROM— 6 1 7 S 9 10 11 12 All ages. 11 932 963 182 373 194 791 190 497 567 661 Years. | 50-51 164 252 2 287 2 536 2 521 7 344 51-52 94 299 1 548 1 697 1 802 .5 047 INFANT MORTALITY BY MONTHS. | 52-53 120 977 1 913 2 161 2 173 li 247 53-54 98 814 1 820 1 890 2 059 5 769 Months. 54-55 98 962 1 895 2 044 2 030 5 969 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 14 213 3 650 2 895 2 662 2 273 2 004 14 819 3 945 3 237 2 777 2 460 2 160 14 795 3 629 2 796 2 421 2 073 1 821 1 699 1 476 1 363 1 306 1 120 1 044 43 S27 11 224 8 928 7 S'«0 6 806 5 985 5 557 4 876 4 621 4 257 3 630 3 560 55-56 56-57 57-58 58-59 59-60 60-61 61-62 62-63 63-64 64-65 65-66 99 656 88 849 74 699 79 196 70 413 92 762 54 277 65 706 59 842 56 756 68 094 2 044 1 871 1 750 1 989 1 989 2 640 1 847 2 195 2 254 2 252 2 817 2 252 2 089 2 008 2 179 2 005 2 766 1 996 2 368 2 452 2 449 2 973 2 273 2 180 2 114 2 181 2 073 2 822 2 222 2 427 2 430 2 423 2 947 6 569 6 140 5 902 6 349 6 067 8 228 6 065 6 990 7 136 7 124 8 737 1 804 2 054 1 609 1 791 1 616 1 642 1 446 1 505 1 293 1 217 1 225 1 291 66-67 47 615 2 177 2 350 2 414 6 941 A GE INTERVALS OF ONE YEAR. 67-68 45 718 2 317 2 445 2 611 7 373 68-69 45 931 2 504 2 607 2 649 7 760 Years. 69-70 41 692 2 322 2 533 2 461 7 316 0-1 254 307 36 690 38 898 35 543 111 131 1-2 226 129 7 530 7 727 6 679 21 936 70-71 48 201 2 628 3 038 2 873 S 539 2-3 247 391 3 206 3 404 2 860 9 470 71-72 29 028 2 052 2 248 2 472 6 772 3-4 241 985 1 885 2 055 1 786 5 726 72-73 34 273 2 502 2 564 2 .596 7 662 4-5 232 612 1 359 1 398 1 280 4 037 ! 73-74 29 722 2 380 2 593 2 5*3 7 556 1 74-75 26 911 2 226 2 430 2 463 7 119 5-6 225 604 1 093 1 073 967 3 133 ! 6-7 223 518 849 922 844 2 615 75-76 27 463 2 441 2 617 2 703 7 761 7-8 220 389 694 790 724 2 208 76-77 22 543 2 230 2 446 2 243 6 919 8-9 212 845 614 652 648 1 914 ' 77-78 17 795 1 955 2 202 2 208 6 365 9-10 208 316 500 573 549 1 622 78-79 16 446 2 045 2 107 2 2K4 6 416 79-80 14 040 1 946 1 894 1 926 5 766 10-11 212 295 519 486 506 1 511 11-12 199 483 500 517 488 1 505 80-81 14 234 1 728 2 011 1 930 5 669 12-13 217 465 465 464 443 1 372 81-82 9 196 1 462 1 573 1 674 4 709 | 13-14 207 798 475 533 486 1 494 82-K3 9 139 1 485 1 603 1 542 4 630 1 14-15 212 205 498 524 543 1 565 83-84 7 442 1 362 1 434 1 490 4 28C, s (-So 6 584 1 215 1 272 1 390 3 877 15-16 198 625 531 550 527 1 608 16-17 217 739 649 630 627 1 906 xS-8fi 5 280 1 127 1 124 1 119 3 3711 17-18 215 660 771 866 826 2 463 .86-87 4 182 906 1 006 989 2 901 18-19 228 053 921 997 940 2 858 87-8,8 3 354 737 800 821 2 358 19-20 222 231 1 020 1 092 1 078 3 190 88-89 2 456 621 685 639 1 945 S9-90 1 992 528 524 518 1 570 20-21 224 728 994 1 144 1 127 3 265 ' 21-22 228 799 1 128 1 208 1 139 3 475 1 90-91 1 705 409 474 454 1 337 22-23 232 988 1 198 1 322 1 257 3 777 91-92 928 294 318 353 965 23-24 228 833 1 151 1 241 1 274 C 366 92-93 683 232 225 274 731 24-25 232 645 1 215 1 244 1 293 3 752 93-94 519 175 195 176 546 94-95 349 113 123 137 373 25-26 235 663 1 248 1 345 3 936 26-27 224 240 1 188 1 286 1 211 3 685 95-96 290 77 103 92 272 27-28 211 766 1 201 1 341 1 316 3 858 96-97 142 61 72 51 184 28-29 234 154 1 400 1 449 1 448 4 297 97-98 103 47 57 45 149 29-30 192 832 1 196 1 282 1 213 3 691 98-99 70 31 29 28 88 99-100 46 26 24 28 78 30-31 253 445 1 510 1 609 1 538 4 657 31-32 160 326 1 156 1 180 1 262 3 598 100-101 43 15 IS \ 41 32-33 200 661 1 434 1 530 1 525 4 489 101-102 8 5 4 12 21 33-34 179 099 1 376 1 442 1 417 4 235 102-103 9 5 10 2 17 34-35 183 830 1 415 1 511 1 519 4 445 103-104 6 1 9 5 15 104-105 2 5 3 2 10 35-36 218 208 1 801 1 927 1 980 5 708 36-37 177 669 1 485 1 571 1 662 4 718 105-106 7 4 2 6 37-38 162 818 1 471 1 573 1 559 4 603 106-107 3 2 1 3 38-39 197 145 1 778 1 841 1 954 5 573 107-108 1 1 2 39-40 161 773 1 622 1 636 1 602 4 860 108-109 109-110 1 1 1 2 1 1 3 2 40-41 224 637 2 090 2 295 2 177 6 562 41-42 42-43 43-^4 124 933 172 514 138 706 1 350 1 769 1 605 1 463 1 915 1 627 1 577 4 390 110-111 1 2 1 3 1 899 5 583 111-112 1 1 724 4 956 44-45 131 768 1 466 1 579 1 653 4 698 45-16 168 320 2 100 2 121 2 283 6 504 46-47 120 510 1 543 1 694 1 551 4 788 v 47-48 119 102 1 569 1 772 1 820 5 161 48-49 138 216 1 890 1 961 2 010 5 861 49-50 124 277 1 746 1 859 1 892 5 497 ADDITIONAL, MORTALITY STATIS rics USED I N DETERM INLNG THE NUMBER C )F BIRTHS AGE INTERVALS OF ONE YEAR. S.GE INTERVA LS OF ONE Y EAR. CALENE AR YEAR. CALEND AR TEAR. O-l 1-2 •2-3 3-4, 1-2 2-3 3-4 4-5 1 912 35 037 6 608 2 767 1 645 1913 6 973 3 067 1 882 1 404 ORIGINAL STATISTICS— TYPE I. Table 140 POPULATION AND MORTALITY STATISTICS UI'ON which is based the LIFE TABLE FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. Unknown ages distributed. 431 Age Interval. 1 Estimated REPORTED DEATHS. Age Interval. 7 Years. Estimated REPORTED HEATHS. Population July 1, 1910. Population July 1, 1910. 1909 1910 1911 1909-1911 1909 1910 1911 1909-1911 - 3 1 1711 233 S 6 ■196 378 H 9 10 11 ll! All ages. H 700 221 160 227 165 918 50-51 51-52 159 514 86 318 1 021 1 254 1 903 1 359 1 861 1 443 5 385 4 050 INFANT MORTALITY BY MONTHS. 52-63 53-54 110 501 1 421 1 007 1 666 4 754 4 403 91 016 1 359 1 542 1 502 Months. 54-55 94 393 1 560 1 551 1 653 4 770 0-1 10 512 11 050 11 006 32 568 1-2 2 825 3 008 2 674 8 507 55-56 96 740 S3 765 70 641 79 371 68 462 100 556 1 578 1 478 1 510 1 751 1 (.83 1 712 1 (.77 ' 1 594 1 773 1 (.81 2 370 1 815 . 1 660 1 699 1 860 1 726 2 331 1 927 2 082 2 100 2 011 5 105 4 815 4 803 5 384 5 090 2-3 2 323 2 665 2 244 7 232 56-57 3-4 2 066 2 285 1 932 6 283 57-58 58-59 4-5 1 844 1 944 1 705 5 493 ,"-11 1 56(1 1 862 1 437 4 865 59-6(1 ii-7 1 524 1 704 1 459 4 6S7 00-61 2 189 6 890 7-8 1 376 1 408 1 231 4 015 61-62 62-63 63-64 64-65 52 435 64 818 60 056 58 230 1 597 1 918 1 993 2 124 1 056 2 079 2 034 2 090 5 180 6 079 6 133 6 225 8-9 1 352 1 364 1 167 3 883 9-10 1 259 1 256 1 123 3 638 10-11 1 099 1 138 1 025 3 262 11-12 1 086 1 185 909 3 180 65-66 66-67 72 350 48 544 2 474 1 988 2 738 2 178 2 059 2 178 7 871 (i 344 A GE INTERVALS OF ONE YEAR . 67-68 40 881 2 140 2 389 2 222 2 407 6 769 68-69 49 298 2 428 2 417 7 234 Years. 69-70 42 082 2 217 2 335 2 316 6 868 0-1 217 S17 28 832 30 869 27 912 87 1.13 1-2 220 930 6 829 733 5 997 19 559 70-71 54 633 2 672 3 022 3 044 8 738 2-3 241 481 2 765 3 011 2 527 8 303 71-72 29 640 1 955 2 100 2 312 6 373 3-4 237 435 1 701 1 902 1 058 5 261 72 73 36 422 2 409 2 510 2 507 7 432 4-5 227 810 1 242 1 295 1 190 3 727 73-71 31 588 2 264 2 469 2 431 7 164 71-75 29 043 2 156 2 370 2 373 6 899 5-0 221 785 992 1 047 918 2 957 li-7 221 201 823 891 738 2 452 75-76 32 249 2 511 2 002 2 706 7 909 7-8 215 757 624 724 683 2 031 76-77 25 343 2 215 2 447 2 348 7 010 8-9 210 867 541 564 554 1 6511 77 7s 19 486 2 1)12 2 207 2 224 6 443 9-10 203 267 461 500 409 1 37(1 7s- 79 19 138 2 078 2 098 2 275 6 451 79-80 15 597 1 911 2 050 1 964 5 931 10-11 209 744 440 450 37'J 1 269 11-12 198 165 385 382 3S8 1 155 80-81 17 (.54 2 023 2 274 2 290 587 12-13 214 437 398 484 398 1 280 81-82 10 4(13 1 542 1 619 1 773 4 934 13-14 200 159 484 469 472 1 425 82 -S3 10 774 1 555 1 847 1 773 5 175 14-15 208 420 473 568 490 1 531 83-84 9 025 1 418 1 579 1 648 4 645 S4-S5 s 148 1 375 1 506 1 490 4 371 15-16 201 287 497 554 549 1 600 10-17 223 278 663 639 XA 1 857 S5-86 6 943 1 283 1 410 1 331 4 024 17-18 216 787 721 759 696 2 176 si, -87 5 238 1 096 1 137 1 198 3 431 18-19 240 016 S63 840 S33 2 531 i 87-88 4 283 955 995 1 010 2 960 19-20 224 573 si, 7 881 928 2 676 8S-S9 3 379 816 796 815 2 427 89-90 2 656 669 707 754 2 130 20-21 244 906 905 1 018 976 2 899 21-22 218 465 953 1 039 1 032 3 024 90-91 2 353 600 665 628 1 893 22-23 237 047 1 072 1 172 1 143 3 387 91-92 1 262 388 412 423 1 223 23-24 232 316 1 126 1 176 1 100 3 408 92-93 1 076 312 372 349 1 033 24-25 229 914 1 178 1 211 1 180 3 569 93-94 793 256 270 295 821 94-95 551 192 200 237 629 25-26 234 646 1 108 1 149 1 206 3 463 26-27 216 053 1 187 1 195 1 180 3 562 95-90 486 150 104 170 484 27-28 198 699 1 088 1 214 1 192 3 494 96-97 255 130 105 111 346 28-29 223 621 1 243 1 291 1 194 3 728 97-98 144 93 91 70 254 29-30 18(1 288 1 143 1 174 1 098 3 415 98-99 129 51 69 55 175 99-100 85 29 20 27 76 30-31 239 912 1 241 1 302 1 214 3 757 31-32 151 153 985 1 033 1 064 3 1)82 100-101 1.7 29 32 35 96 32-33 193 163 1 248 1 255 1 255 3 758 101-102 18 13 19 13 45 33-34 169 246 1 171 1 205 1 147 3 523 102-103 13 7 13 6 26 34-35 175 942 1 152 1 252 1 243 3 ('47 103-104 104-105 9 9 2 4 9 3 7 (. 18 13 35-36 203 838 1 308 1 358 1 491 4 157 1(6-37 171 459 1 243 1 265 1 291 3 799 105-106 6 2 5 1 s 37 38 155 707 1 236 1 280 1 233 3 749 100-107 5 4 2 2 s US 3!) 190 923 1 470 1 435 1 475 4 3S6 107-108 5 2 1 4 7 30 -46 153 045 1 305 1 256 1 252 3 813 108-109 1 5 2 1 8 109-110 1 1 40-41 209 521 1 438 1 569 1 472 4 479 41-42 116 077 1 005 1 111 1 130 3 246 110-111 1 1 1 42-43 161 281 1 344 1 398 1 391 4 133 111-112 1 1 1 2 43-44 132 219 1 152 1 253 1 295 3 700 112-113 2 1 3 44-45 125 295 1 140 1 220 1 301 3 667 113-114 114-115 1 15-40 154 013 1 385 1 424 1 560 4 31 ,9 46-47 47-48 48-49 49-50 115 944 113 423 135 189 116 210 1 218 1 269 1 291 3 778 115-116 1 1 231 1 459 1 350 1 533 1 276 1 526 3 857 4 518 116-117 117-118 1 1 1 423 1 390 1 404 4 217 A DIIITIONAL MOKTAUT Y STAT1KTI f'S I'SKD IX DETER MI} ;IN<1 THE I\ UMBER OI BIRTHS. AGE INTERVALS OF ONE YEAP A )K INTERVAL? 111' ONE YEA R. CALENI AR YEAR. C \I,EKI'J R YEAR. 0-1 1-2 2-3 3-1 1 -1 2-3 .3 1 4-5 1 912 27 309 5 691 2 482 1 459 1 113 6 136 2 667 1 741 1 258 432 UNITED STATES LIFE TABLES. Table 141 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOR NEGRO MALES IN THE ORIGINAL REGISTRATION STATES: 1910. Unknown ages distributed. Age Interval. All a^es. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-11 41-42 42-43 43-44 44^5 45-46 46-47 47-48 48^19 49-50 Estimated Population July 1, 1910. REPORTED DEATHS. 1909 1910 INFANT MOETALITY BY MONTH'S. 41!) 97 1H 84 84 64 64 56 44 44 49 445 115 109 79 74 66 79 59 56 60 44 57 102 92 50 52 53 49 36 40 AGE INTERVALS OF ONE YEAR. 4 102 3 278 3 752 3 692 3 553 3 390 3 465 3 377 3 151 3 230 3 260 2 949 3 313 3 142 3 387 3 003 3 317 3 322 3 728 3 904 4 025 4 717 5 012 5 153 5 569 6 207 5 365 5 222 6 233 5 121 6 975 3 694 4 822 4 016 4 340 6 132 4 032 3 716 4 980 3 998 5 853 2 317 3 526 2 455 2 221 3 677 1 767 1 SIS 2 17a 2 335 1 204 .260 120 67 35 22 97 23 19 17 20 17 15 20 25 24 36 46 44 59 44 56 65 58 91 69 100 48 68 72 75 101 64 5S 79 60 102 58 67 66 43 78 42 51 66 64 1 243 297 129 63 42 26 27 17 19 25 14 2" 14 21 22 27 27 37 33 52 46 64 56 69 115 56 73 78 94 Ids 58 129 50 85 92 50 54 273 120 56 34 35 26 is 17 17 24 20 9 IS 16 18 31 39 47 42 53 55 67 71 73 110 58 71 70 109 80 75 119 47 75 55 45 57 1909-1911 1 244 301 325 255 231 194 214 175 165 153 124 116 3 530 830 369 1S6 111 83 80 58 55 59 40 54 70 82 112 126 138 158 163 179 197 198 220 11* 227 252 227 325 162 218 221 239 318 202 219 350 155 2IS 207 163 256 137 162 201 190 Age Interval. Years. 50-51 51-52 52-53 53-54 54-55 55-56 56-57 57-58 58-59 59- SO 60-61 61-62 62-63 63-64 64-65 65-66 66-67 67-68 68-69 69-70 70-71 71-72 72-73 73-74 74-75 75-76 76-77 77-78 78-79 80-81 81-82 82-83 83-84 84-85 85-86 86-87 87-88 88-89 89-90 90-91 91-92 92-93 93-94 94-95 96-97 97-98 98-99 99-100 100-101 101-102 102-103 103-104 104-105 105-106 105-107 107-108 108-109 109-110 110-111 135-136 Estimated Population July 1, 1910. 3 517 1 333 1 917 1 380 1 513 1 756 1 315 1 043 1 098 943 1 856 576 800 769 682 1 262 565 514 569 501 817 227 376 313 255 3S4 199 162 160 134 227 84 81 60 53 14 39 28 21 37 13 11 5 6 18 3 1 5 2 7 2 2 2 1 3 2 REPORTED DEATHS. 1909 45 53 54 52 74 54 42 41 51 71 35 39 40 32 73 37 34 50 40 63 26 32 27 25 51 29 18 13 21 26 10 10 20 7 7 12 4 5 1 3 1 1 3 2 2 1 4 1 1 1 2 1 2 10 122 38 67 65 55 71 55 51 55 81 32 61 50 43 101 50 40 45 31 78 22 34 33 32 46 23 22 19 17 43 14 13 10 15 79 61 71 76 48 57 52 56 107 39 53 50 36 79 37 51 43 46 79 38 38 47 27 19 17 33 15 13 10 11 15 10 6 7 4 13 3 5 1 1 2 1 1 1 3 1 2 1 1 329 146 199 180 178 221 157 150 148 151 259 106 153 140 111 253 121 125 138 117 220 86 104 59 49 46 102 39 36 28 32 45 23 19 26 15 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NUMBER OF BIRTHS. calendar year. 1912 AGE INTERVALS OF ONE YEAR. I 1-2 I 2-S 250 I 97 AGE INTERVALS OF ONE YEAR. 50 CALENDAR YEAR. 1913 4-5 ORIGINAL STATISTICS— TYPE I. 433 TABLE 142 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOR NEGRO FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. Unknown ages distributed. Age Interval. All ages. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Years. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 - 7-8 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26-27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 38-39 39-40 40-41 41-42 42-43 43-44 44-45 45-46 46-47 47-48 48-49 49-50 Estimated Population July 1, 1910. 239 814 REPORTED DEATHS. 5 481 INFANT MORTALITY BY MONTHS. 330 75 72 .85 60 46 59 51 47 40 43 45 358 102 90 86 70 61 63 69 50 45 56 39 AGE INTERVALS OF ONE YEAR. 4 001 3 480 3 889 3 950 3 704 3 643 3 550 3 537 3 535 3 313 3 530 3 112 3 698 3 466 8 680 3 380 3 862 3 892 4 749 4 819 5 477 5 044 5 991 6 321 6 675 7 140 6 252 5 599 6 851 5 558 7 567 3 570 4 971 4 127 4 332 5 856 4 001 3 521 5 106, 4 077 5 946 2 053 3 154 2 391 2 133 3 763 1 855 1 859 2 655 2 352 953 250 116 63 42 35 26 13 17 17 22 26 19 28 36 31 36 49 51 49 41 ■ 50 65 57 75 66 50 66 73 75 53 55 59 52 65 49 55 77 65 83 39 60 45 45 6S 61 33 47 52 283 49 25 14 23 23 25 14 21 25 24 32 38 45 53 56 61 57 58 72 77 65 74 61 79 58 76 57 68 61 66 78 57 52 7h 65 112 38 60 58 67 73 49 53 57 57 339 104 68 60 60 51 54 42 52 39 37 25 031 231 59 42 25 25 18 14 12 19 10 39 25 44 46 50 67 56 76 61 66 69 48 77 65 48 62 58 72 SI 72 91 52 77 50 45 51 32 65 44 1909-1911 1 027 281 230 231 190 158 176 162 149 124 136 109 2 973 764 297 185 133 65 61 58 56 48 66 54 81 96 138 150 155 171 174 179 205 213 200 209 159 222 196 248 158 186 182 176 240 175 179 236 2112 286 129 197 153 157 217 161 IIS 169 153 Age Interval. Years. 50-51 51-52 52-53 53-54 54-55 55-56 56-57 57-58 58-59 59-60 60-61 61-62 62-63 63-64 64-65 65-66 66-67 67-68 68-69 69-70 70-71 71-72 72-73 73-74 74-75 75-76 76-77 77-78 78-79 79-80 80-81 81-82 82-83 83-84 84-85 85-86 86-87 87-88 88-89 89-90 90-91 91-92 92-93 93-94 94-95 95-96 96-97 97-98 98-99 99-100 100-101 101-102 102-103 103-104 104-105 105-106 106-107 107-108 108-109 109-110 110-111 111-112 112-113 113-114 114-115 115-116 116-117 117-118 118-119 119-120 120-121 Estimated Population July 1, 1910. 3 946 1 215 1 867 1 283 1 503 1 856 1 284 979 1 155 1 018 2 211 524 772 736 634 496 479 520 465 929 260 396 267 272 469 242 154 189 152 315 89 112 85 76 103 66 47 40 63 22 19 16 12 30 14 10 11 8 18 3 6 2 3 1 2 4 4 3 1 1 1 1 REPORTED DEATHS. 1909 76 30 58 47 38 64 49 39 40 40 87 31 40 39 30 59 37 35 47 38 61 19 23 42 17 22 13 19 39 10 8 16 10 16 7 12 11 13 7 4 4 2 7 4 2 3 1910 105 46 65 32 49 64 43 34 54 52 38 39 40 36 70 36 49 39 35 76 17 2S 11 24 45 24 13 26 17 40 10 15 14 14 16 10 11 11 62 62 42 54 63 67 51 57 53 39 47 40 41 77 34 36 36 34 54 32 37 32 31 49 28 12 IS 19 44 14 26 11 10 12 6 11 19 5 3 7 1 7 5 2 6 2 3 2 2 1 1 1 1 1 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NUMBER OF PIRTHS. calendar year. AGE INTERVALS OF ONE YEAR. 01 1-2 240 CALENDAR YEAR. AGE INTERVALS OF ONE YEAR. 270 138 185 121 141 191 159 124 151 145 274 10S 126 119 107 107 120 122 107 191 68 88 76 75 136 69 47 57 55 123 34 49 41 34 61 26 35 25 33 41 12 11 11 16 9 6 18 7 16 4 6 4 2 3 1 3 5 1 2 1 1 150822°— 21 28 434 UNITED STATES LIFE TABLES. TABLE 143 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOR NATIVE WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1910. Unknown ages distributed. REPORTED DEATHS. REPORTED DEATHS. Age intebval. Estimated Age Interval. Estimated Population July 1, 1910. Population July 1, 1910. 1909 1910 1911 1909-1911 1909 1910 1911 1909-1911 1 2 3 1 5 6 7 8 9 10 11 12 All ages. 8 753 112 132 091 140 845 135 722 408 658 Years. 50-51 51-52 96 347 63 956 1 214 948 1 299 1 046 1 315 1 068 3 828 3 062 INFANT MORTALITY BY MONTHS. 52-53 53-54 78 942 66 655 1 154 1 115 1 288 1 170 1 298 1 272 3 740 3 557 Months. 54-55 66 278 1 162 1 240 1 223 3 625 0-1 1-2 14 199 3 642 14 808 3 937 14 785 3 621 43 792 11 200 55-56 62 993 1 154 1 236 1 294 3 684 2-3 2 880 3 229 2 785 8 894 56-57 58 474 1 085 1 253 1 304 3 642 3-4 2 639 2 764 2 407 7 810 57-58 50 618 1 033 1 211 1 298 3 542 4-5 2 247 2 445 2 065 6 757 58-59 50 835 1 149 1 272 1 297 3 718 5-6 1 985 2 144 1 798 5 927 59-60 46 502 1 132 1 194 1 267 3 593 6-7 1 780 2 034 1 681 5 495 60-61 52 734 1 283 1 388 1 390 4 061 7-8 8-9 1 591 1 590 1 767 1 616 1 461 1 349 4 819 4 555 61-62 62-63 35 846 41 951 1 076 1 225 1 174 1 334 1 289 1 324 3 539 3 883 9-10 10-11 11-12 1 425 1 269 1 206 1 487 1 198 1 271 1 292 1 105 1 032 4 204 3 572 3 509 63-64 64-65 65-66 66-67 38 884 36 051 39 951 30 684 1 254 1 310 1 466 1 282 1 440 1 366 1 602 1 355 1 444 1 416 1 499 1 441 4 138 4 092 4 567 4 078 AGE INTERVALS OF ONE YEAR. 67-68 68-69 29 587 28 945 1 331 1 442 1 400 1 499 1 529 1 478 4 260 4 419 Years. 69-70 27 667 1 386 1 538 1 513 4 437 0-1 252 695 36 453 38 700 35 381 110 534 1-2 223 269 7 371 7 534 6 510 21 415 70-71 28 084 1 392 1 620 1 524 4 536 2-3 243 035 3 085 3 288 2 752 9 125 71-72 19 522 1 257 1 375 1 482 4 114 3-4 235 463 1 782 1 977 1 706 5 465 72-73 22 107 1 509 1 565 1 562 4 636 4-5 223 651 1 279 1 323 1 214 3 816 73-74 19 564 1 442 1 609 1 607 4 658 74-75 17 568 1 359 1 511 1 518 4 388 5-6 213 901 1 020 1 016 899 2 935 6-7 209 591 782 860 791 2 433 75-76 16 480 1 433 1 533 1 550 ' 4 516 7-8 205 030 632 732 669 2 033 76-77 14 591 1 421 1 542 1 379 4 342 8-9 196 580 553 603 593 1 749 77-78 11 886 1 243 1 453 1 373 4 069 9-10 191 841 459 534 497 1 490 78-79 10 549 1 270 1 279 1 422 3 971 79-80 9 281 1 188 1 242 1 244 3 674 10-11 193 656 477 437 465 1 379 11-12 182 450 456 478 441 1 375 80-81 8 468 1 038 1 169 1 149 3 356 12-13 197 538 424 418 394 1 236 81-82 6 205 985 997 1 065 3 047 13-14 189 462 439 476 436 1 351 82-83 6 018 933 1 054 997 2 984 14-15 192 023 444 479 482 1 405 83-84 4 963 873 909 ■974 2 756 84-85 4 276 793 817 896 2 506 15-16 178 709 476 495 471 1 442 16-17 191 292 578 546 538 1 662 85-86 3 327 720 688 719 2 127 17-18 184 302 636 730 697 2 063 86-87 2 729 587 • 644 629 1 860 18-19 180 712 698 776 747 2 221 87-88 2 228 502 527 523 1 552 19-20 170 644 784 802 794 2 380 88-89 1 651 430 468 423 1 321 89-90 1 371 339 356 332 1 027 20-21 159 708 727 810 816 2 353 21-22 164 608 824 851 828 2 503 90-91 1 053 262 308 283 853 22-23 154 181 772 875 862 2 509 91-92 671 215 227 230 672 23-24 150 803 768 806 864 2 438 92-93 468 162 161 178 501 24-25 147 476 799 825 849 2 473 93-94 354 117 123 115 355 94-95 234 82 82 94 258 25-26 142 316 820 860 843 2 523 26-27 138 176 759 844 780 2 383 95-96 186 58 73 51 182 27-28 129 957 793 872 891 2 556 96-97 83 46 44 34 124 28-29 135 840 862 906 924 2 692 97-98 54 33 29 29 91 29-30 120 595 815 864 793 2 472 98-99 35 9 16 7 32 99-100 22 11 15 16 42 30-31 138 478 894 933 894 2 721 31-32 103 850 827 841 864 2 532 100-101 22 7 9 7 23 32-33 120 507 953 993 956 2 902 101-102 3 2 1 5 8 33-34 111 975 900 953 904 2 757 102-103 3 1 1 1 3 34-35 118 051 933 999 1 020 2 952 103-104 1 4 2 6 104-105 1 1 1 2 35-36 127 991 1 063 1 134 1 119 3 316 36-37 110 414 995 1 018 1 094 3 107 105-106 1 2 1 3 37-38 38-39 39-40 104 372 117 987 102 741 940 1 037 1 010 2 987 106-107 2 1 062 1 106 1 197 3 365 107-108 1 1 1 065 1 029 1 018 3 112 108-109 1 1 40-41 123 308 1 085 1 199 1 154 3 438 109-110 1 1 41-42 82 139 849 941 986 2 776 42-43 104 000 1 040 1 075 1 077 3 192 43-44 86 036 971 959 1 010 2 940 44-45 79 585 856 901 964 2 721 45-46 92 653 1 020 1 016 1 111 3 147 46-47 71 663 875 911 877 2 663 47-48 74 478 874 1 056 993 2 923 48-49 84 331 1 137 1 131 1 067 3 335 49-50 81 088 1 062 1 139 1 097 3 298 A DDITIONAL MORTALITY STATISTICS USED IN DETERATO IING THE N UMBER OF BIRTHS. AGE INTERVALS OF ONE YEAR. CALEND AR YEAR. A GE INTERVAL, 5 OF ONE YE. kR. CALEND AR YEAR. 0-1 1-2 2-3 3-4 12 6 770 2-3 3-4 i 5 1912 34 828 6 469 2 673 1 575 1913 2 934 1 771 1 319 ORIGINAL STATISTICS— TYPE I. 435 TABLE 1M POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOR NATIVE WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. Unknown ages distributed. REPORTED DEATHS. REPORTED DEATHS. Age Interval. Estimated AGE INTERVAL. Estimated Population July 1, 1910. Jr OVULATION July 1, 1910. 1909 1910 1911 5 1909-1911 1909 1910 1911 1909-1911 1 2 3 1 6 7 8 9 10 11 12 All ages. 8 872 897 116 471 123 551 119 064 359 086 Years. 50-51 51-52 98 939 61 250 918 820 1 104 826 1 081 911 3 103 2 557 INFANT MORTALITY BY MONTHS . 52-53 75 334 894 1 011 1 013 2 918 53-54 63 975 869 988 950 2 807 Months. 54-55 65 032 981 969 1 034 2 984 0-1 10 503 11 "043 10 999 32 545 1-2 2 816 3 000 2 671 8 487 55-56 56-57 62 098 56 030 48 323 914 986 1 081 2 981 2-3 2 311 2 656 2 239 7 206 866 1 006 997 2 869 3-4 2 061 2 271 1 924 6 256 57-58 884 970 1 010 2 864 4-5 1 828 1 927 1 695 5 450 58-59 51 561 46 252 57 020 35 580 41 720 960 989 1 113 3 062 5-6 1 544 1 838 1 428 4 810 59-60 972 963 1 019 2 954 0-7 1 500 1 689 1 445 4 634 60-61 1 025 1 147 1 161 3 333 7-S 1 355 1 384 1 222 3 961 61-62 882 935 1 110 2 927 8-9 1 334 1 335 1 155 3 824 62-63 1 036 1 150 1 139 3 325 9-10 1 241 1 238 1 109 3 588 63-64 39 322 1 068 1 113 1 147 3 328 10-11 1 078 1 124 1 012 3 214 64-65 37 653 1 122 1 138 1 145 3 405 11-12 1 059 1 163 ' 900 3 122 65-66 42 253 1 225 1 398 1 314 3 937 66-67 32 350 1 105 1 276 1 253 3 634 A GE INTERVALS OF ONE YEAR 67-68 30 821 1 217 1 237 1 371 3 825 68-69 31 500 1 293 1 327 1 331 3 951 Years. 69-70 28 084 1 304 1 362 1 300 3 966 0-1 246 328 28 630 30 668 27 799 87 097 1-2 218 027 6 714 6 577 5 860 19 151 70-71 31 406 1 309 1 509 1 525 4 343 2-3 237 213 2 691 2 924 2 434 8 049 71-72 20 219 1 214 1 285 1 424 3 923 3-4 230 876 1 628 1 823 1 596 5 047 72-73 23 729 1 437 1 459 1 448 4 344 4-5 218 964 1 157 1 224 1 137 3 518 73-74 21 105 1 390 1 486 1 445 4 321 74-75 19 231 1 284 1 450 1 414 4 148 5-6 210 391 939 979 877 2 795 6-7 207 513 766 831 697 2 294 75-76 19 206 1 377 1 473 1 489 4 339 7-8 200 489 558 662 645 1 865 76-77 16 723 1 356 1 503 1 464 4 323 8-9 194 662 501 527 514 1 542 77-78 13 402 1 314 1 425 1 355 4 094 9-10 186 860 417 449 384 1 250 78-79 12 554 1 292 1 286 1 378 3 956 79-80 10 692 1 264 1 298 1 322 3 884 10-11 190 941 405 410 344 1 159 11-12 181 216 356 348 352 1 056 80-81 10 565 1 179 1 330 1 305 3 814 12-13 . 194 722 362 440 358 1 160 81-82 7 338 1 044 1 085 1 163 3 292 13-14 188 340 434 427 435 1 296 82-83 7 382 1 061 1 202 1 160 3 423 14-15 188" 382 415 511 427 1 353 83-84 6 310 932 1 093 1 101 3 126 84-85 5 539 906 967 996 2 869 15-16 179 960 442 503 492 1 437 16-17 193 510 588 553 474 1 615 85-86 4 612 840 896 850 2 586 17-18 181 643 614 638 584 1 836 86-87 3 658 733 788 797 2 318 18-19 189 155 708 662 674 2 044 87-88 3 047 682 684 692 2 058 19-20 171 667 696 695 730 2 121 88-89 2 398 586 547 558 1 691 89-90 1 909 473 502 537 1 512 20-21 175 952 707 795 773 2 275 21-22 163 204 738 803 784 2 325 90-91 1 485 382 420 422 1 224 22-23 165 232 774 876 829 2 479 91-92 937 293 290 301 884 23-24 162 164 819 858 796 2 473 92-93 780 230 280 246 756 24-25 157 012 857 859 805 2 521 93-94 582 190 192 216 598 94-95 411 136 156 170 462 25-26 156 930 806 784 843 2 433 26-27 145 573 836 843 819 2 498 95-96 328 104 115 116 335 27-28 134 222 776 853 808 2 437 96-97 166 87 67 72 226 28-29 144 086 825 844 787 2 456 97-98 94 60 67 51 178 29-30 121 623 764 824 747 2 335 98-99 71 40 37 41 118 99-100 58 20 15 24 59 30-31 151 392 794 831 820 2 445 31-32 106 334 696 728 717 2 141 100-1C1 28 17 19 23 59 32-33 127 241 855 821 818 2 494 101-102 10 10 8 8 26 33-34 114 596 766 796 784 2 346 102-103 5 3 7 4 14 34-35 119 930 753 839 815 2 407 103-104 4 1 5 2 s 104-105 4 1 1 35-36 132 699 829 882 988 2 699 36-37 114 131 810 815 855 2 480 105-106 1 2 2 37-38 105 657 818 826 824 2 468 100-107 2 1 1 2 38-39 121 923 906 874 937 2 717 107-108 2 1 1 39-40 101 994 864 818 822 2 504 108-109 1 3 1 4 109-110 1 1 40-41 128 713 866 930 847 2 643 41-42 42-43 43-44 44-45 80 731 104 107 86 780 79 820 643 838 704 702 756 851 784 712 868 2 111 2 557 2 294 110-111 111-112 1 1 806 112-113 ::::::::::: 759 805 2 266 113-114 114-115 1 45-46 93 731 776 788 868 2 432 46^17 73 328 740 779 772 2 291 47-48 75 128 768 830 784 2 382 48-49 87 454 905 886 911 2 702 49-50 79 259 908 924 905 2 737 A DDITIONAL MORTALIT Y STATISTICS USED IN DETERMIt JING THE N UMBER O] "• BIRTHS. AGE INTERVALS OF ONE YEAR. A 3E INTERVAL. OF ONE YEji R. CALENI AR YEAR. CALEND \.R YEAR. f 0-1 1-2 2-3 3-1 1-2 2-3 3-4 4 .» 1912 27 173 5 575 2 375 1 395 1913 5 966 2 545 1 642 1 190 * 436 UNITED STATES LIFE TABLES. Table 145 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOR THE FOREIGN-BORN WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1910. Unknown ages distributed. REPORTED DEATHS. REPORTED DEATHS. Age Estimated Population July 1, 1910. Age Estimated Population July 1, 1910. Interval. 1909 1910 1911 1909-1911 Interval. 1909 1910 1911 1909-1911 1 2 3 4 5 6 7 8 9 10 11 12 All ages. 3 179 851 50 282 53 946 54 775 159 003 Years. 50-51 67 905 1 073 1 237 1 206 3 516 51-52 30 343 600 651 734 1 985 INFANT MORTALITY BY MONTHS. 52-53 42 035 759 873 875 2 507 53-54 32 159 705 720 787 2 212 Months. 54-55 32 684 733 804 807 2 344 0-1 14 11 10 35 1-2 8 8 8 24 55-56 36 663 890 1 016 979 2 885 2-3 15 8 11 • 34 56-57 30 375 786 836 876 2 498 3-4 23 13 14 50 57-58 24 081 717 827 816 2 360 4-5 26 15 8 49 58-59 28 361 840 907 884 2 631 5-6 19 16 23 58 59-60 23 911 857 811 806 2 474 6-7 24 20 IS 62 60-61 40 028 1 357 1 378 1 432 4 167 7-8 18 24 15 57 61-62 18 431 77J 822 933 2 526 8-9 9-10 26 21 26 18 14 14 66 53 62-63 63-64 23 755 20 958 970 1 000 1 034 1 012 1 103 986 3 107 2 998 10-11 11-12 24 19 19 20 15 12 58 51 64-65 20 705 942 1 083 1 007 3 032 65-66 28 143 1 351 1 371 1 448 4 170 66-67 16 931 895 995 973 2 863 A GE INTERVALS OF ONE YEAR. 67-68 16 131 986 1 045 1 082 3 113 68-69 16 986 1 062 1 108 1 171 3 341 Years. 69-70 14 025 936 995 948 2 879 0-1 1 612 237 198 162 597 1-2 2 860 159 193 169 521 70-71 20 117 1 236 1 418 1 349 4 003 2-3 4 356 121 116 108 345 71-72 9 506 795 873 990 2 658 3-4 6 522 103 78 80 261 72-73 12 166 993 999 1 034 3 026 4-5 8 961 80 75 66 221 73-74 10 158 938 984 976 2 898 74-75 9 343 867 919 945 2 731 5-6 11 703 73 57 68 198 6-7 13 927 67 62 53 182 75-76 10 983 1 008 1 084 1 153 3 245 7-8 15 359 62 58 55 175 76-77 7 952 809 904 864 2 577 8-9 16 265 61 49 55 165 77-78 5 909 712 749 835 2 296 9-10 16 475 41 39 52 132 78-79 5 897 775 828 842 2 445 79-80 4 759 758 652 682 2 092 10-11 18 639 42 49 41 132 11-12 17 033 44 39 47 130 80-81 5 766 690 842 781 2 313 12-13 19 927 41 46 49 136 81-82 2 991 477 576 609 1 662 13-14 18 336 36 57 50 143 82-83 3 121 552 549 545 1 646 14-15 20 182 54 45 61 160 83-84 2 479 489 525 516 1 530 84-85 2 308 422 455 494 1 371 15-16 19 916 55 55 56 166 16-17 26 447 71 84 89 244 85-86 1 953 407 436 400 1 243 17-18 31 358 135 136 129 400 86-87 1 453 319 362 360 1 041 18-19 47 341 223 221 193 637 87-88 1 126 235 273 298 806 19-20 51 587 236 290 284 810 88-89 805 191 217 216 624 89-90 621 189 168 186 543 20-21 65 020 267 334 311 912 21-22 64 191 304 357 311 972 90-91 652 147 166 171 484 22-23 78 807 426 447 395 1 268 91-92 257 79 91 123 293 23-24 78 030 383 435 410 1 228 92-93 215 70 64 96 230 24-25 85 169 416 419 444 1 279 93-94 165 58 72 61 191 94-95 115 31 41 43 115 25-26 93 347 428 485 500 1 413 26-27 86 064 429 442 431 1 302 95-96 104 19 30 41 90 27-28 81 809 408 469 425 1 302 96-97 59 15 28 17 60 28-29 98 314 538 543 524 1 605 97-98 49 14 28 16 58 29-30 72 237 381 418 420 1 219 98-99 35 22 13 21 56 99-100 24 15 9 12 36 30-31 114 967 616 676 644 1 936 31-32 56 476 329 339 398 1 066 100-101 21 8 9 1 18 32-33 80 154 481 537 569 1 587 101-102 5 3 3 7 13 33-34 67 124 476 489 513 1 478 102-103 6 4 9 1 14 34-35 65 779 482 512 499 1 493 103-104 5 1 5 3 9 104-105 1 4 3 1 8 35-36 90 217 738 793 861 2 392 36-37 67 255 490 553 568 1 611 105-106 6 2 1 3 37-38 58 446 531 536 549 1 616 106-107 1 2 1 3 38-39 79 158 716 735 757 2 208 107-108 1 1 39-40 59 032 557 607 584 1 748 108-109 1 1 1 2 40-41 101 329 1 005 1 096 1 023 3 124 109-110 1 1 1 41-42 42-43 43-44 42 794 68 514 .52 670 501 729 634 522 840 668 591 822 714 1 614 2 391 2 016 110-111 111-112 1 1 ' 1 3 44-45 52 183 610 678 689 1 977 45-46 75 667 1 080 1 105 1 172 3 357 46-47 48 847 668 783 674 2 125 47-48 44 624 695 716 827 2 238 48-49 53 885 753 830 943 2 526 49-50 43 189 684 720 795 2 199 A DDITIONAL MORTALITY STATISTI CS USED IN DETERMINING THE N UMBER OI ' BIRTHS. AGE INTERVALS OF ONE YEAR. A 5E INTERVAL i OF ONE YEJ IR. CALENL 1 AR YEAR. CALENDAR YEAR. 0-1 1-2 2-3 3-1 • 1-2 2-3 3-4 4-5 1 912 209 139 01 70 1913 203 133 111 85 ORIGINAL STATISTICS— TYPE I. 437 Table 146 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOE FOREIGN-BOKN WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1910. Unknown ages distributed. REPORTED DEATHS. REPORTED DEATHS. Age Estimated PriT>iTT k itrrixr Age Estimated Population July 1, 1910. Interval. 1 U t U Li A 1 1UP4 July 1, 1910. 1909 1910 1911 1909-1911 Interval. 1909 1910 1911 1909-1911 1 2 3 1 5 6 7 8 9 10 11 12 All ages. 2 833 324 43 756 46 682 46 854 137 292 Years. 50-51 51-52 60 575 25 068 703 434 799 533 780 532 2 282 1 499 INFANT MORTALITY BY MONTHS. 52-53 53-54 35 227 27 641 527 490 056 554 653 552 1 836 1 596 Months. 54-55 29 361 585 582 619 1 786 0-1 9 7 7 23 1-2 9 8 3 20 ■ 55-56 34 642 664 726 671 734 2 124 2-3 12 9 5 26 56-57 27 735 612 663 1 946 3-4 5 14 8 27 57-58 22 318 626 624 689 1 939 4-5 16 17 10 43 58-59 27 810 791 784 747 2 322 5-6 22 24 9 55 59-60 22 210 711 718 707 2 136 6-7 24 15 14 53 60-61 43 536 1 164 1 223 1 170 3 557 7-8 21 24 9 54 61-62 16 855 715 721 817 2 253 8-9 18 29 12 . 59 62-63 23 098 882 929 943 2 754 9-10 18 18 14 50 63-64 20 734 925 921 959 2 805 10-11 11-12 21 27 14 22 13 9 48 58 64-65 20 577 1 002 952 866 2 820 65-66 66-67 30 097 16 194 1 249 883 1 340 902 1 345 925 3 934 2 710 A GE INTERVALS OF ONE YEAR. 67-68 68-69 16 060 17 798 923 1 096 985 1 101 1 030 1 086 2 944 3 283 Years. 69-70 13 998 913 973 1 016 2 902 0-1 1 489 202 201 113 516 1-2 2 903 115 156 137 408 70-71 23 227 1 363 1 513 1 519 4 395 2-3 4 268 74 87 93 254 71-72 9 421 741 821 888 2 450 3-4 6 559 73 79 02 214 72-73 12 693 972 1 057- 1 059 3 088 4-5 8 846 85 71 53 209 73-74 10 483 874 983 986 2 843 74-75 9 812 872 920 959 2 751 5-6 11 394 53 68 41 162 6-7 13 688 57 60 41 158 75-76 13 043 1 164 1 189 1 217 3 570 7-8 15 268 66 62 38 166 76-77 8 620 859 944 884 2 687 8-9 16 205 40 37 40 117 77-78 6 084 698 782 869 2 349 9-10 16 407 44 51 25 120 78-79 6 584 786 812 897 2 495 79-80 4 905 647 758 642 2 047 10-11 18 803 35 40 35 110 11-12 16 889 29 34 36 99 80-81 7 089 844 944 985 2 773 12-13 19 715 36 44 40 120 81-82 3 065 498 534 610 1 642 13-14 17 819 50 42 37 129 82-83 3 392 494 645 613 1 752 14-15 20 044 58 57 63 178 83-84 2 715 486 486 547 1 519 84-85 2 609 469 539 494 1 502 15-16 21 327 55 51 57 103 16-17 29 768 75 86 81 242 85-86 2 331 443 514 481 1 438 17-18 35 144 107 121 112 340 86-87 1 580 363 349 401 1 113 18-19 50 861 155 178 159 492 87-88 1 236 273 311 318 902 19-20 52 906 171 186 198 555 88-89 981 230 249 257 736 89-90 747 196 205 217 618 20-21 68 954 198 223 203 624 21-22 55 261 215 236 248 699 90-91 868 218 245 206 669 22-23 71 815 298 296 314 908 91-92 325 95 122 122 339 23-24 70 152 307 318 310 935 92-93 296 82 92 103 277 24-25 72 902 321 352 375 1 048 93-94 211 66 78 79 223 94-95 140 56 44 67 167 25-26 77 716 302 365 363 1 030 26-27 70 480 351 352 361 1 064 95-96 158 46 49 54 149 27-28 64 477 312 361 384 1 057 96-97 89 43 38 39 120 28-29 79 535 418 447 407 1 272 97-98 50 33 24 19 76 29-30 58 665 379 350 351 1 080 98-99 58 11 32 14 57 99-100 27 9 5 3 17 30-31 88 520 447 471 394 1 312 31-32 44 819 289 305 347 941 100-101 39 12 13 12 37 32-33 65 922 393 434 437 1 264 101-102 8 3 11 5 19 33-34 54 650 405 409 363 1 177 102-103 8 4 6 2 12 34-35 56 012 399 413 428 1 240 103-104 5 1 4 5 10 104-105 5 4 3 5 12 35-36 71 139 479 476 503 1 458 36-37 57 328 433 450 430 1 319 105-106 5 2 3 1 6 37-38 50 050 418 454 409 1 281 106-107 3 3 2 1 6 38-39 69 000 564 561 538 1 663 107-108 3 2 1 3 6 39-40 51 051 441 438 430 1 309 108-109 2 1 1 4 109-110 40-41 80 808 572 639 025 1 830 41-42 35 346 362 355 418 1 135 110-111 1 1 1 42-43 57 174 506 547 523 1 570 111-112 1 1 1 43-44 45 439 448 469 489 1 406 112-113 2 1 3 44-45 45 475 438 467 490 1 401 113-114 45-46 60 282 609 636 692 1 937 114-115 46-47 42 616 478 490 519 1 487 115-116 1 47-48 38 295 463 520 492 1 475 116-117 48-49 49-50 47 735 554 647 615 1 810 117-118 1 1 36 951 515 466 499 1 480 ADDITIONAL MORTALITY STATIS ncs USED I N DETERM INING THE NUMBER C >F BIRTHS. AGE INTERVALS OF ONE YEAR. A( .E INTERVALS OF ONE YEA R. CALENI ■ All YEAR. CALEND iR YEAR. O-l 1-2 2-3 3-t 1-2 2-3 3-4 4-5 1912 136 US 107 64 1913 170 122 99 68 438 UNITED STATES LIFE TABLES. TABLE 147 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOE WHITE MALES IN CITIES OF THE ORIGINAL REGISTRATION STATES. 1910. Unknown ages distributed. REPORTED DEATHS. REPORTED DEATHS Age Interval. Estimated Age Interval. Estimated Population July 1, 1910. Population July 1, 1910. 1909 1910 1911 1909-1911 1909 1910 1911 1909-191L 1 2 3 4 5 6 7 8 9 10 11 12 All ages. 7 211 022 114 784 123 533 120 984 359 301 Years. 50-51 51-52 100 631 50 500 1 630 1 054 1 877 1 167 1 823 1 245 5 330 3 466 INFANT MORTALITY BY MONTHS. 52-53 53-54 66 606 52 857 1 355 1 263 1 458 1 267 1 529 1 372 4 342 3 902 Months. 54-55 52 818 1 253 1 375 1 414 4 042 0-1 9 313 9 872 9 869 29 054 1-2 2 569 2 829 2 601 7 999 55-56 54 145 1 356 1 524 1 524 4 404 2-3 1 963 2 287 2 031 6 281 56-57 45 904 1 254 1 377 1 400 4 031 3-4 1 858 1 991 1 717 5 566 57-58 37 155 1 109 1 302 1 351 3 762 4-5 1 583 1 780 1 494 4 857 58-59 40 493 1 228 1 415 1 410 4 053 5-6 1 444 1 554 1 350 4 348 59-60 34 517 1 240 1 264 1 324 3 828 6-7 1 297 1 480 1 257 4 034 60-61 50 725 1 761 1 823 1 864 5 448 7-8 1 159 1 309 1 121 3 589 61-62 25 LSI 1 068 1 197 1 322 3 587 4 232 4 228 8-9 1 181 1 232 1 039 3 452 62-63 31 494 1 335 1 420 1 477 9-10 1 090 1 113 973 3 176 • 63-64 27 756 1 339 1 274 1 467 1 422 10-11 967 900 839 2 706 64-65 26 386 1 444 1 416 4 134 11-12 938 943 782 2 663 65-66 66-67 33 857 20 874 1 651 1 194 1 725 1 290 1 832 1 321 5 208 3 805 AGE INTERVALS OF ONE YEAR. x 67-68 68-69 20 036 20 495 1 238 1 371 1 445 4 054 1 309 1 383 1 471 4 163 Years. 69-70 17 359 1 184 1 324 1 319 3 827 0-1 160 058 25 362 27 290 25 073 77 725 1-2 140 084 5 492 5 663 4 999 16 154 70-71 22 529 1 466 1 658 1 589 4 713 2-3 152 864 2 343 2 451 2 073 6 867 71-72 11 645 1 011 1 077 1 237 3 325 3-4 147 517 1 363 1 432 1 267 4 062 72-73 14 332 1 194 1 232 1 284 3 710 4-5 139 554 965 976 921 2 862 73-74 11 724 1 084 1 208 1 215 3 507 74-75 10 581 1 046 1 140 1 136 3 322 5-6 134 766 751 752 691 2 194 6-7 133 451 595 632 596 1 823 75-76 11 585 1 148 1 221 1 259 3 628 7-8 131 457 489 550 480 1 519 76-77 8 630 985 1 071 958 3 014 8-9 125 608 387 432 417 1 236 77-78 6 395 820 899 915 2 634 9-10 123 525 320 382 368 1 070 78-79 6 121 838 911 953 2 702 79-80 5 113 800 749 752 2 301 10-11 126 106 336 315 327 978 11-12 117 552 314 322 306 942 80-81 5 797 703 895 793 2 391 12-13 129 142 291 301 285 877 81-82 3 229 554 635 681 1 870 13-14 123 272 273 317 305 895 82-83 3 277 567 608 606 1 781 14-15 124 415 304 312 316 932 83-84 2 632 516 516 580 1 612 84-85 2 387 416 518 515 1 449 15-16 116 535 318 337 299 954 16-17 130 069 375 392 396 1 163 85-86 1 995 446 420 452 1 318 17-18 130 118 463 579 511 1 553 86-87 1 518 325 381 368 1 074 18-19 140 816 588 646 597 1 831 87-88 1 126 253 266 311 830 19-20 138 294 620 700 683 2 003 88-89 826 224 230 232 686 89-90 709 211 182 181 574 20-21 142 671 620 762 721 2 103 21-22 147 653 752 796 730 2 278 90-91 658 137 166 166 469 22-23 153 604 781 862 847 2 490 91-92 311 94 112 135 341 23-24 150 416 763 831 851 2 445 92-93 248 82 84 106 272 24-25 154 982 837 863 871 2 571 93-94 164 64 56 65 185 94-95 111 41 37 34 112 25-26 159 362 873 960 926 2 759 26-27 149 920 821 896 889 2 606 95-96 116 25 37 35 97 27-28 140 836 842 942 908 2 692 96-97 51 23 25 19 67 28-29 158 206 1 000 1 052 1 021 3 073 97-98 41 17 18 12 47 29-30 126 462 880 921 862 2 663 98-99 31 10 10 13 33 99-100 17 10 9 9 28 30-31 173 293 1 090 1 190 1 101 3 381 31-32 102 679 802 837 922 2 561 100-101 14 6 9 2 17 32-33 132 161 1 069 1 130 1 119 3 318 101-102 4 2 3 6 11 33-34 115 088 1 017 1 057 1 052 3 126 102-103 4 3 5 2 10 34-35 117 275 1 016 1 123 1 133 3 272 103-104 3 4 4 104-105 1 2 2 4 35-36 145 231 1 285 1 432 1 459 4 176 36-37 112 757 1 130 1 129 1 183 3 442 105-106 3 1 1 37-38 101 683 1 115 1 152 1 173 3 440 105-107 2 2 1 3 38-39 126 323 1 321 1 380 1 487 4 188 107-108 1 1 39-40 99 871 1 186 1 217 1 208 3 611 108-109 109-110 1 1 1 1 1 2 1 40-41 147 456 1 569 1 754 1 650 4 973 41-42 42-43 74 518 106 959 973 1 287 1 054 1 439 1 165 1 393 3 192 4 119 110-111 1 1 1 43-44 83 840 1 162 1 199 1 274 3 635 44-45 79 121 1 101 1 160 1 225 3 486 45-46 107 101 1 574 1 600 1 696 4 870 46-47 71 948 1 080 1 191 1 143 3 414 47-48 69 115 1 089 1 267 1 323 3 679 48-49 81 536 1 348 1397 1 474 4 219 49-50 70 030 1 1 232 1 291 1 363 3 886 - ADDITIONAL MORTALITY STATIST* 3S USED IN DETERMINING THE N UMBER OF BIRTHS. n T irwn A D V1?AD AGE INTERVALS OF ONE YEAR. calendar Year. A( rE INTERVALS OF ONE YEi .R. KjA-LitLDiUAti I JliArt. 0-1 1-2 2-3 3-4 1-2 2-3 3-4 4-5 1912 24 618 5 004 1 986 1 185 1913 5 231 2 234 1 368 994 ORIGINAL STATISTICS— TYPE I. 439 TABLE 148 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOR WHITE FEMALES IN CITIES OF THE ORIGINAL REGISTRATION STATES: 1910. Unknown ages distributed. REPORTED DEATHS. REPORTED DEATHS. Age Interval. Estimated Age Interval. Estimated Population July 1, 1910. Population July 1, 1910. 1909 1910 1911 1909-1911 1909 1910 1911 1909-1911 1 2 3 1 5 6 7 8 9 10 11 12 All ages. 7 246 306 101 088 107 757 104 586 313 431 Years. 50-51 51-52 102 195 47 110 1 150 779 1 363 913 1 308 960 3 821 2 652 INFANT MORTALITY BY MONTHS. 52-53 53-54 63 058 50 523 981 892 1 137 1 010 1 128 976 3 246 2 878 Months. 54-55 52 503 996 1 011 1 062 3 069 0-1 1-2 6 877 1 967 7 454 2 147 7 309 1 937 21 640 6 051 55-56 56 185 1 043 1 121 1 227 3 391 2-3 1 650 1 899 1 605 5 154 56-57 45 682 956 1 078 1 063 3 097 3-4 4-5 5-6 1 458 1 325 1 126, 1 652 1 433 1 345 1 376 1 255 1 013 4 486 4 013 3 484 57-58 58-59 59-60 37 426 43 386 35 594 973 1 156 1 065 1 016 1 171 1 067 1 100 1 225 1 096 3 089 3 552 3 228 6-7 7-8 8-9 9-10 10-11 11-12 1 080 1034 988 970 821 815 1 248 1 030 1 031 904 844 855 1 132 908 883 877 775 680 3 460 2 972 2 902 2 751 2 440 2 350 60-61 61-«2 62-63 63-64 64-65 65-66 60 822 26 027 33 688 30 339 29 103 39 560 1 539 1 017 1 210 1 214 1 263 1 519 1 645 996 1 272 1 228 1 267 1 740 1 623 1 179 1 315 1 267 1 224 1 672 4 807 3 192 3 797 3 709 3 754 4 931 66-67 23 185 1 155 1 246 1 233 3 634 A GE INTERVALS OF ONE YEAH 67-68 22 677 1 165 1 289 1 378 3 832 68-69 24 335 1 398 1 383 1 394 4 175 Years. 69-70 20 000 1 182 1 313 1 276 3 771 0-1 156 310 20 111 21 842 19 750 61 703 1-2 136 845 5 090 4 973 4 526 14 589 70-71 29 745 1 562 1 786 1 819 5 167 2-3 150 550 1 98» 2 126 1 857 5 972 71-72 13 551 1 032 1 036 1 251 3 319 3-4 145 812 1 245 1 379 1 208 3 832 72-73 17 179 1 301 1 361 1 331 3 993 4-5 137 387 907 908 881 2 696 73-74 14 478 1 130 1 299 1 228 3 657 74-75 13 347 1 090 1 231 1 185 3 506 5-6 133 685 714 749 647 2 110 5-7 133 215 582 613 527 1 722 75-76 16 129 1 349 1 466 1 442 4 257 7-8 129 473 430 489 454 1 373 76-77 11 446 1 131 1 194 1 134 3 459 8-9 126 632 364 378 369 1 111 77-78 8 523 924 1 060 1 077 3 061 9-10 121 657 308 318 255 881 78-79 8 735 978 1 008 1 084 3 070 79-80 6 946 895 965 910 2 770 10-11 126 608 290 299 249 838 11-12 118 204 237 221 248 706 80-81 8 694 1 011 1 116 1 196 3 323 12-13 129 804 245 311 255 811 81-82 4 509 647 738 798 2 183 13-14 123 868 327 290 300 917 82-83 4 808 738 831 837 2 406 14-15 125 544 277 365 311 953 83-84 3 864 611 716 750 2 077 84-85 3 482 600 663 631 1 894 15-16 121 709 307 350 358 1 015 16-17 138 914 409 412 360 1 181 85-86 3 176 590 642 611 1 843 17-18 136 771 443 468 421 1 332 86-87 2 258 475 504 501 1 480 18-19 155 945 565 545 528 1 638 87-88 1 838 397 440 431 1 268 19-20 148 411 548 579 617 1 774 88-89 1 387 316 342 354 1 012 89-90 1 148 282 320 320 922 20-21 164 666 616 633 644 1 893 21-22 146 115 632 631 661 1 924 90-91 1 105 270 294 278 842 22-23 161 641 735 778 771 2284 91-92 520 171 170 157 498 23-24 157 706 751 785 756 2 292 92-93 451 154 151 153 458 24-25 157 202 780 813 820 2 413 93-94 318 99 99 126 324 94-95 230 75 79 93 247 25-26 160 954 778 808 815 2 401 26-27 146 085 830 804 812 2 446 95-96 224 68 64 83 215 27-28 132 872 753 831 813 2 397 96-97 110 66 40 46 152 28-29 151 786 824 898 823 2 545 97-98 64 49 33 24 106 29-30 117 880 777 823 729 2 329 98-99 58 15 31 13 59 99-100 37 11 9 6 26 30-31 165 105 906 932 861 2 699 31-32 95 358 662 696 729 2 087 100-101 39 12 15 15 42 32-33 126 892 890 889 833 2 612 101-102 8 3 15 3 21 33-34 108 538 820 862 767 2 449 102-103 7 4 9 4 17 34-35 113 744 787 866 886 2 539 103-104 3 1 4 2 7 . 104-105 2 1 2 1 4 35-36 137 639 927 986 1 067 2 980 36-37 109 523 865 870 888 2 623 105-106 1 2 1 3 37-38 97 932 851 873 859 2 583 106-107 1 2 2 1 5 38-39 124 795 1 022 1 051 1 056 3 129 107-108 3 2 2 39-40 96 334 915 858 840 2 613 108-109 2 2 4 109-110 40-41 141 128 1 023 1 166 1 070 3 259 41-42 69 099 675 757 769 2 201 110-111 1 1 1 42-43 101 266 935 982 989 2 906 111-112 1 43-44 80 242 799 874 878 2 551 112-113 2 1 3 44-45 45^6 76 175 100 322 798 975 863 1 056 884 1 099 2 545 3 130 113-114 114-115 46-47 47-48 48-49 49-50 70 115 66 819 81 699 67 505 849 841 999 965 863 914 1 068 907 917 882 1 041 902 2 629 2 637 3 108 2 774 115-116 116-117 117-118 1 1 1 j* DDITIONAL MORTALI1 Y STATISTICS USED IN DETERMD JLNG THE N UMBER OI BIRTHS. AGE INTERVALS OF ONE YEAR. calendar year. AC rE INTERVALS OF one yea R. CALENJ A R YEAR. 0-1 1-2 2-3 3-4 1-2 2-3 3-4 4-5 1912 19 479 4 300 1 836 1 056 1913 4 600 1 979 1 274 912 440 UNITED STATES LIFE TABLES. Table 149 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOR WHITE MALES IN RURAL PART OF ORIGINAL REGISTRATION STATES: 1910. Unknown ages distributed. REPORTED DEATHS. REPORTED DEATHS. Age Interval. Estimated Age Interval. Estimated Population July 1, 1910. Population July i, 1910. 1909 1910 1911 1909-1911 1909 1910 1911 1909-1911 1 2 3 4 5 6 7 8 9 10 11 12 All ages. 4 721 941 67 589 71 258 69 513 208 360 Years. 50-51 51-52 63 621 43 799 657 494 659 530 698 557 2 014 1 581 INFANT MORTALITY BY MONTHS. 52-53 53-54 54 371 45 957 558 557 703 623 644 687 1 905 1 867 Months. 54-55 46 144 642 669 616 1 927 0-1 1-2 2-3 3-4 4 900 1 081 932 804 4 947 1 116 950 786 4 926 1 028 765 704 14 773 3 225 2 647 2 294 55-56 56-57 57-58 45 511 42 945 37 544 688 617 641 728 712 736 749 780 763 2 165 2 109 2 140 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 690 560 507 450 435 356 326 287 680 606 574 482 410 392 317 348 579 471 442 355 324 333 281 262 1 949 1 637 1 523 1 287 1 169 1 081 924 897 58-59 59-60 60-61 61-62 62-63 63-64 64-65 65-66 66-67 38 703 35 896 42 037 29 096 34 212 32 086 30 370 34 237 26 741 761 749 879 779 860 915 978 1 166 983 764 741 943 799 948 985 1 005 1 248 1 060 771 749 958 900 950 1 008 1 007 1 115 1 093 2 296 2 239 2 780 2 478 2 758 2 908 2 990 3 529 3 136 A GE INTERVALS OF ONE YEAR 67-68 68-69 25 682 1 079 1 074 1 224 1 166 1 178 3 319 3 597 25 436 1 195 Years. 69-70 24 333 1 138 1 209 1 142 3 489 0-1 94 249 11 328 11 608 10 470 33 406 1-2 86 045 2 038 2 064 1 680 5 782 70-71 25 672 1 162 1 380 1 284 3 826 2-3 94 527 863 953 787 2 603 71-72 17 383 1 041 1 171 1 235 3 447 3-4 94 468 522 623 519 1 664 72-73 19 941 1 308 1 332 1 312 3 952 4-5 93 058 394 422 359 1 175 73-74 17 998 1 296 1 385 1 368 4 049 74-75 16 330 1 180 1 290 ' 1 327 3 797 5-6 90 838 342 321 276 939 6-7 90 067 254 290 248 792 75-76 15 878 1 293 1 396 1 444 4 133 7-8 88 932 205 240 244 689 76-77 13 913 1 245 1 375 1 285 3 905 8-9 87 237 227 220 231 678 77-78 11 400 1 135 1 303 1 293 3 731 9-10 84 791 180 191 181 552 78-79 10 325 1 207 1 196 1 311 3 714 79-80 8 927 1 146 1 145 1 174 3 465 10-11 86 189 183 171 179 533 11-12 81 931 186 195 182 563 80-81 8 437 1 025 1 116 1 137 3 278 12-13 88 323 174 163 158 495 81-82 5 967 908 938 993 2 839 13-14 84 526 202 216 181 599 82-83 5 862 918 995 936 2 849 14-15 87 790 194 212 227 633 83-84 4 810 846 918 910 2 674 84-85 4 197 799 754 875 2 428 15-16 82 090 213 213 228 654 - 16-17 87 670 274 238 231 743 85-86 3 285 681 704 667 2 052 17-18 85 542 308 287 315 910 86-87 2 664 581 625 621 1 827 18-19 87 237 333 351 343 1 027 87-88 2 228 484 534 510 1 528 19-20 83 937 400 392 395 1 187 88-89 1 630 397 455 407 1 259 89-90 1 283 317 342 337 996 20-21 82 057 374 382 406 1 162 21-22 81 146 376 412 409 1 197 90-91 1 047 272 308 288 868 22-23 79 384 417 460 410 1 287 91-92 617 200 206 218 624 23-24 78 417 388 410 423 1 221 92-93 435 150 141 168 459 24-25 77 663 378 381 422 1 181 93-94 355 111 139 111 361 94-95 238 72 86 103 261 25-26 76 301 375 385 417 1 177 26-27 74 320 367 390 322 1 079 95-96 174 52 66 57 175 27-28 70 930 359 399 408 1 166 96-97 91 38 47 32 117 28-29 75 948 400 397 427 1 224 97-98 62 30 39 33 102 29-30 66 370 316 361 351 1 028 98-99 39 21 19 15 55 99-100 29 16 15 19 50 30-31 80 152 420 419 437 1 276 31-32 57 647 354 343 340 1 037 100-101 29 9 9 6 24 32-33 68 500 365 400 406 1 171 101-102 4 3 1 6 10 33-34 64 011 359 385 365 1 109 102-103 5 2 5 7 34-35 66 555 399 388 386 1 173 103-104 3 1 5 5 11 104-105 1 3 1 2 6 35-36 72 977 516 495 521 1 532 36-37 64 912 355 442 479 1 276 105-106 4 4 1 5 37-38 38-39 61 135 356 421 386 1 163 106-107 1 70 822 457 461 467 1 385 107-108 1 1 39-40 61 902 436 419 394 1 249 108-109 1 1 109-110 0. 1 1 40-41 77 181 521 641 527 1 589 41-42 50 415 377 409 412 1 198 110-111 2 2 42-43 43-44 65 555 482 476 506 1 464 111-112 1 54 866 443 428 450 1 321 44-45 52 647 365 419 428 1 212 45-46 61 219 526 521 587 1 634 46-47 48 562 463 503 408 1 374 47-48 49 987 480 505 497 1 482 48-49 56 680 542 564 536 1 642 49-50 54 247 514 568 529 1 611 A DDITIONAL MORTALH Y STATIST] CS USED IN DETEEMII ■JING THE 1> UMBER OI BIRTHS. CALENJ >AK YEAR. AGE INTERVALS OF ONE YEAR CALEND AR YEAR. AC -E INTERVALS OF ONE YEA R. O-l 1-2 2-3 3-4 1-2 2-3 3-4 4-5 1912 10 419 1 604 781 460 1913 1 742 833 514 410 ORIGINAL STATISTICS— TYPE I. 441 Table 150 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOR WHITE FEMALES IN RURAL PART OF ORIGINAL REGISTRATION STATES: 1910. Unknown age distributed. REPORTEI DEATHS. REPORTED DEATHS. Age Estimated Age Estimated Interval. Population July 1, 1910. 1909 1910 1911 1909-1911 Interval. Population July 1, 1910. 1909 1910 1911 1909-1911 1 2 3 4 5 6 7 8 9 10 11 12 All ages. 4 459 915 59 139 62 476 61 332 182 947 Years. 60-51 57 319 471 540 553 1 564 51-52 39 208 475 446 483 1 404 IN -ANT MORTALI ry by months . 52-53 47 503 440 530 538 1 508 53-54 41 093 467 532 526 1 525 Months. 54-55 41 890 570 540 591 1 701 0-1 1-2 2-3 3-4 4-5 5-6 3 635 858 673 608 519 440 3 596 861 766 633 611 517 3 697 737 639 556 450 424 10 928 2 456 2 078 1 797 1 480 1 381 55-56 56-57 57-58 58-59 59-60 40 555 38 083 33 215 35 985 32 868 535 522 537 595 618 591 599 578 602 614 588 597 599 635 630 1 714 1 718 1 714 1 832 1 862 6-7 7-8 444 342 456 378 327 323 1 227 1 043 60-61 61-62 39 734 26 408 650 580 725 660 708 748 2 083 1 988 8-9 9-10 10-11 11-12 364 289 278 271 333 352 294 330 284 246 250 229 981 887 822 830 62-63 63-64 64-65 65-66 31 130 29 717 29 127 32 790 25 359 708 779 861 955 807 806 823 998 767 839 787 987 2 282 2 424 2 471 2 940 A GE INTERVALS OF ONE YEAR 66-67 833 932 945 2 710 67-68 68-69 24 204 24 963 976 991 933 1 045 1 029 1 023 2 937 3 059 Years. 69-70 22 082 1 035 1 022 1 040 3 097 0-1 91 507 8 721 9 027 8 162 25 910 1-2 84 085 1 739 1 760 1 471 4 970 70-71 24 888 1 110 1 236 1 225 3 571 2-3 90 931 776 885 670 2 331 71-72 16 089 923 1 070 1 061 3 054 3-4 91 623 456 523 450 1 429 72-73 19 243 1 108 1 155 1 176 3 439 4-5 90 423 335 387 309 1 031 73-74 17 110 1 134 1 170 1 203 3 507 74-75 15 696 1 066 1 139 1 188 3 393 5-6 88 100 278 298 271 847 6-7 87 986 241 278 211 730 75-76 16 120 1 192 1 195 1 264 3 652 7-8 86 284 194 235 229 658 76-77 13 897 1 084 1 253 1 214 3 551 8-9 84 235 177 186 185 548 77-78 10 963 1 088 1 147 1 147 3 382 9-10 81 610 153 182 154 489 78-79 10 403 1 100 1 090 1 191 3 381 79-80 8 651 1 016 1 091 1 054 3 161 10-11 83 136 150 151 130 431 11-12 79 901 148 161 140 449 80-81 8 960 1 012 1 158 1 096 3 264 12-13 84 633 153 173 143 469 81-82 5 894 895 881 975 2 751 13-14 82 291 157 179 172 508 82-83 5 966 817 1 016 936 2 769 14-15 82 882- 196 203 179 578 83-84 5 161 807 863 898 2 568 84-85 4 666 775 843 859 2 477 15-16 79 578 190 204 191 585 16-17 84 364 254 227 195 676 85-86 3 767 693 768 720 2 181 17-18 80 016 278 291 275 844 86-87 2 980 621 633 697 1 951 18-19 84 071 298 295 305 898 87-88 2 445 558 555 579 1 692 19-20 76 162 319 302 311 932 88-89 1 992 500 454 461 1 415 89-90 1 508 387 387 434 1 208 20-21 80 240 289 385 332 1 006 21-22 72 350 321 408 371 1 100 90-91 1 248 330 371 350 1 051 22-23 75 406 337 394 372 1 103 91-92 742 217 242 266 725 23-24 74 610 375 391 350 1 116 92-93 625 158 221 196 575 24-25 72 712 398 398 360 1 156 93-94 475 157 171 169 497 94-95 321 117 121 144 382 25-26 73 692 330 341 391 1 062 26-27 69 968 357 391 368 1 116 95-96 262 82 100 87 269 27-28 65 827 335 383 379 1 097 96-97 145 64 65 65 194 28-29 71 835 419 393 371 1 183 97-98 80 44 58 46 148 29-30 62 408 1 366 351 369 1 086 98-99 71 36 38 42 116 99-100 48 18 11 21 50 30-31 74 807 335 370 353 1 058 31-32 55 795 323 337 335 995 100-101 28 17 17 20 54 32-33 66 271 358 366 422 1 146 101-102 10 10 4 10 24 33-34 60 708 351 343 380 1 074 102-103 6 3 4 2 9 34-35 62 198 365 386 357 1 108 103-104 6 1 5 5 11 104-105 7 3 1 5 9 35-36 66 199 381 372 424 1 177 36-37 61 936 378 395 403 1 176 105-106 5 4 1 5 37-38 57 775 385 407 374 1 166 106-107 4 2 1 3 38-39 66 128 448 384 419 1 251 107-108 2 2 1 2 5 39-40 56 711 390 398 412 1 200 108-109 1 3 1 4 40-41 68 393 415 403 402 1 220 109-110 1 1 41-42 46 978 330 354 361 1 045 110-111 42-43 43-44 44-45 60 015 51 977 49 120 409 353 342 416 379 363 402 417 417 1 227 1 149 1 122 111-112 112-113 113-114 1 1 2 45-46 53 691 410 368 461 1 239 114-115 1 46-47 45 829 369 406 374 1 149 47-48 46 604 390 436 394 1 220 48-49 53 490 460 465 485 1 410 49-50 48 705 458 483 502 1 443 A3 )DITIONAL MORTALIT f STATISTIC JS USED IN DETERMI1 UNO THE I •IUMBER O F BIRTHS. A GE INTERVAL ! OF ONE YEA R. AC ,E INTERVALS OF ONE YEA R. CALEN1 OAR TEAR. CALEND 4R YEAR. O-l 1-2 2-3 3-4 1-2 2-3 3-4 4-5 1912 7 830 1 391 646 403 1913 1 536 688 467 346 442 UNITED STATES LIFE TABLES. Table 151 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOE MALES IN THE STATE OF INDIANA: 1910. Unknown ages distributed. REPORTED DEATHS. REPORTED DEATHS. Age Interval. Estimated Age Interval. Estimated Population July 1, 1910. Population July 1, 1910. 1909 1910 1911 1909-1911 1909 1910 1911 1909-1911 1 2 3 i 5 6 7 8 9 10 11 12 All ages. 1 385 288 18 264 19 251 18 717 56 232 Years. 50-51 17 452 173 190 182 545 51-52 12 543 147 164 158 469 INFANT MORTALITY BY MONTHS. 52-53 53-54 15 735 13 231 174 156 1S3 168 201 168 558 492 Months. 54-55 12 560 202 164 179 545 0-1 1-2 1 462 281 1 507 315 1 559 254 4 528 850 55-56 11 787 209 187 212 608 2-3 248 240 194 682 56-57 11 604 185 174 208 211 604 3-4 198 192 176 565 57-58 10 204 177 236 587 4-5 173 154 148 475 58-59 10 161 209 237 211 657 5-6 150 148 124 422 59-60 9 359 199 222 200 211 610 ! 6-7 149 135 120 404 60-61 10 455 253 228 703 1 7-8 118 150 94 362 61-62 7 762 173 217 203 215 591 8-9 137 127 77 341 62-63 8 957 223 254 694 9-10 90 113 102 305 63-64 8 600 232 262 261 264 247 285 764 10-11 99 126 79 304 64-65 7 699 271 240 291 287 773 11-12 83 108 74 265 65-66 66-67 8 406 6 718 298 248 850 799 AGE INTERVALS OF ONE YEAR 67-68 68-69 6 400 6 297 239 246 279 294 288 779 843 276' Years. 69-70 5 803 285 294 269 848 0-1 28 434 3 188 3 315 3 000 9 503 1-2 26 234 734 791 605 2 130 70-71 5 755 283 330 321 934 2-3 28 626 284 349 258 891 71-72 3 990 240 258 295 793 3-4 28 558 164 191 162 517 72-73 4 649 272 306 306 884 4-5 28 676 104 129 119 352 73-74 4 188 269 272 318 859 74-75 3 535 267 334 298 899 5-6 27 768 109 119 82 310 6-7 27 500 84 93 94 271 75-76 3 471 292 288 318 898 7-8 26 601 93 62 88 243 76-77 3 134 298 312 252 862 8-9 26 794 80 73 71 224 77-78 2 551 272 329 276 877 9-10 26 194 60 60 52 172 78-79 2 178 277 268 304 849 79-80 1 877 249 249 262 760 10-11 26 280 55 49 63 167 11-12 24 858 65 65 65 195 80-81 1 758 188 258 233 679 12-13 26 234 52 50 48 150 81-82 1 228 186 211 211 608 13-14 25 348 78 68 62 208 82-83 1 161 208 195 185 588 14-15 26 887 68 64 75 207 83-84 1 033 160 197 186 543 84-85 893 156 148 175 479 15-16 25 113 79 73 68 220 16-17 26 664 109 78 90 277 85-86 636 131 132 139 402 17-18 26 626 104 112 104 320 86-87 516 104 103 115 322 18-19 27 143 111 120 118 349 87-88 428 86 99 90 275 19-20 26 007 126 138 125 389 88-89 313 72 83 74 229 89-90 217 76 59 59 194 20-21 26 068 139 153 132 424 21-22 25 873 135 162 142 439 90-91 181 49 46 45 140 22-23 25 223 135 154 133 422 91-92 93 34 25 36 95 23-24 25 397 132 145 151 428 92-93 73 30 25 30 85 24-25 24 637 136 123 134 393 93-94 55 20 22 13 55 94-95 49 11 18 15 44 25-26 24 438 144 132 133 409 26-27 24 317 141 137 111 389 95-96 36 10 9 7 26 27-28 22 919 129 130 142 401 96-97 17 7 9 8 24 28-29 24 204 137 128 128 393 97-98 8 5 6 8 19 29-30 21 024 118 143 120 381 98-99 9 5 1 3 9 99-100 8 4 3 3 10 30-31 24 334 153 148 139 440 31-32 17 717 114 113 129 356 100-101 8 4 3 2 9 32-33 20 512 97 137 144 378 101-102 1 2 2 4 33-34 18 851 107 120 109 336 102-103 1 1 2 34-35 19 781 118 129 126 373 103-104 1 2 2 35-36 21 501 142 153 175 470 104-105 1 36-37 37-38 38-39 39-40 40-41 19 285 18 332 20 487 18 314 21 842 112 119 119 131 157 116 123 169 116 157 151 112 154 138 141 379 354 442 385 455 105-106 106-107 107-108 108-109 109-110 1 1 1 1 1 1 1 41-42 14 924 122 126 146 394 42-43 18 810 158 144 155 457 43-44 15 726 136 145 133 414 44-45 14 704 124 125 144 393 45-46 16 175 131 164 157 452 46-47 13 090 128 123 131 382 47-48 14 020 145 156 129 430 48-49 15 452 170 175 174 519 49-50 15 001 159 165 145 469 ADDITIONAL MORTALIT Y STATISTI OS USED IN DETERMINING THE N UMBER OF BIRTHS. AGE INTERVALS OF ONE YEAH CALENDAR YEAR. AG E INTERVALS OF ONE YEA. a. CALEND AR YEAR. O-l 1-2 2-3 3-4 1-2 2-3 3-4 4-5 1912 2 967 612 300 151 1913 675 294 164 132 ORIGINAL STATISTICS— TYPE I. TABLE 152 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOE FEMALES IN THE STATE OF INDIANA: 1910. Unknown ages distributed. 443 Age Interval. Estimated REPORTED DEATHS. Age Interval. Estimated REPORTED DEATHS. Population July 1, 1910. Population July 1, 1910. 1909 1910 1911 1909-1911 1909 1910 1911 1909-1911 1 2 3 1 5 6 7 8 9 10 11 12 All ages. 1 319 479 16 255 17 197 16 493 49 945 Years. 50-51 51-52 15 626 11 055 141 162 150 155 160 148 451 465 INFANT MORTALITY BY MONTHS. 52-53 53-54 13 428 140 174 167 481 . 11 038 118 156 158 432 Months. 1 54-55 11 240 160 148 163 471 0-1 1 084 1 13Q 1 171 3 394 1-2 246 259 204 709 55-56 10 755 165 156 129 155 161 178 141 155 165 174 148 161 159 181 173 491 458 2-3 178 219 165 562 56-57 10 273 3-4 135 160 115 410 57-58 8 804 9 516 8 426 443 501 4-5 140 129 ' 124 393 58-59 5-6 124 140 111 375 59-60 508 6-7 111 132 i 85 328 60-61 9 692 164 144 200 187 208 212 185 212 184 210 193 204 178 175 206 569 7-8 77 110 ! 81 268 61-62 6 730 7 591 7 486 533 590 54e 8-9 102 104 10' 308 62^63 9-10 70 95 64 229 63-64 10-11 87 101 72 260 64-65 6 975 624 11-12 103 98 73 274 65-66 66-67 7 733 6 378 233 204 200 240 224 257 657 701 AGE INTERVALS OF ONE YEAR. 67-68 68-69 5 748 '5 688 239 211 246 255 244 705 754 264 Years. 69-70 5 206 254 263 238 755 0-1 27 818 2 457 2 686 2 367 7 510 1-2 25 277 632 644 499 1 775 70-71 5 252 234 266 262 762 2-3 27 468 274 293 226 793 71-72 3 549 243 231 274 748 3-4 27 557 133 162 152 447 72-73 4 320 245 277 261 783 4-5 27 631 106 141 110 357 73-74 3 699 270 254 267 791 74-75 3 298 236 252 271 759 5-6 26 752 80 95 88 263 6-7 26 875 73 83 81 237 75-76 3 410 270 268 278 816 7-8 25 941 60 63 73 196 76-77 2 989 241 259 239 739 8-9 26 096 60 63 65 188 77-78 2 387 242 266 234 742 9-10 25 154 50 61 51 162 78-79 2 103 231 220 237 688 79-80 1 703 206 238 236 680 10-11 25 576 47 43 39 129 11-12 24 430 57 58 41 156 80-81 1 698 185 210 215 610 12-13 25 714 52 64 51 167 81-82 1 092 204 175 174 553 13-14 25 252 64 64 51 179 82-83 1 196 175 201 170 546 14-15 25 691 79 63 68 210 83-84 1 024 164 168 189 521 84-85 858 131 154 158 443 15-16 24 582 82 87 86 255 16-17 26 384 101 81 70 252 85-86 677 149 127 177 453 17-18 25 163 105 124 105 334 86-87 499 111 98 138 347 18-19 27 207 129 111 121 361 87-88 425 108 95 89 292 19-20 24 971 127 123 131 381 88-89 318 87 77 85 249 89-90 266 66 70 71 207 20-21 26 672 114 168 135 417 21-22 24 324 109 176 147 432 90-91 250 51 66 56 173 22-23 24 882 130 155 152 437 91-92 92 38 35 52 125 23-24 25 060 145 159 146 450 92-93 99 24 25 28 77 24-25 23 841 156 151 154 461 93-94 69 30 19 28 77 94-95 55 12 20 25 57 25-26 24 338 127 144 152 423 26-27 23 828 149 160 134 443 95-96 48 15 16 15 46 27-28 21 883 141 150 133 424 96-97 26 13 14 11 38 28-29 23 053 182 144 127 453 97-98 14 6 8 8 22 29-30 20 120 132 134 123 389 98-99 9 9 8 6 23 99-100 5 3 1 2 6 30-31 23 351 125 171 141 437 31-32 17 375 116 137 115 368 100-101 8 6 3 3 12 32-33 20 188 121 141 139 401 101-102 2 2 4 33-34 18 054 144 106 125 375 102-103 5 1 1 7 34-35 18 567 120 120 107 347 103-104 104-105 1 1 2 35-36 19 448 131 I : > 153 408 36-37 18 620 148 ' 134 124 406 105-106 37-38 17 405 138 1 136 131 405 106-107 38-39 19 334 122 124 141 387 107-108 1 1 2 39-40 40-41 16 652 19 641 128 136 142 124 136 142 400 408 108-109 109-110 1 1 41-42 42-43 43-44 44-45 13 856 17 730 15 040 13 789 100 129 142 125 90 126 121 137 112 145 120 126 341 412 336 384 110-111 111-112 112-113 1 1 45-46 14 471 1 108 1 120 137 365 115-116 46-47 47-48 12 882 13 293 124 125 96 140 96 119 345 355 120-121 1 1 48-49 15 362 1 130 153 116 399 49-50 14 040 ! 158 154 135 447 , ADDITIONAL MORTALITY STATIST ICS USED IN DETERMINING THE I TOMBER F BIRTHS. AGE INTERVALS OF ONE YEAR. A( ■E INTERVALS OF ONE YEA R. CALEND AR YEAR. CALENDAR YEAR. 0-1 1-2 2-3 3-4 1-2 2-3 3-4 4,-5 1912 2 345 542 258 122 1913 596 251 182 123 444 UNITED STATES LIFE TABLES. TABLE 153 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOR MALES IN THE STATE OF MASSACHUSETTS: 1910. Unknown ages distributed. REPORTED DEATHS. REPORTED DEATHS Age Estimated Population July 1, 1910. Age Estimated Population July 1, 1910. Interval. 1909 1910 1911 1909-1911 Interval. 1909 1910 1911 1909-1911 1 2 3 4, 5 6 7 S 9 10 11 12 All ages. 1 661 319 26 255 28 208 27 515 81 978 Years. 50-51 51-52 23 523 12 696 296 215 379 258 376 245 1 051 718 INFANT mortality by months. 52-53 53-54 16 812 13 375 292 272 331 261 308 308 931 839 Months. 54-55 13 267 282 283 266 831 0-1 2 206 2 298 2 298 6 802 1-2 596 703 609 1 908 55-56 13 786 271 322 331 924 2-3 499 526 469 1 494 56-57 11 723 282 289 272 843 3-4 440 477 421 1 338 57-58 10 016 289 291 280 860 4-5 411 443 362 1 216 58-59 10 832 291 314 302 907 6-6 6-7 7-8 345 303 228 362 323 328 319 328 252 1 026 954 808 59-60 60-61 61-62 9 652 13 177 7 254 300 401 258 284 415 285 330 422 350 914 1 238 893 8-9 9-10 277 213 276 264 225 242 778 719 62-63 63-64 8 648 7 980 320 302 374 370 338 352 1 032 1 024 10-11 214 201 170 585 64-65 7 381 310 369 381 1 060 11-12 158 207 154 519 65-66 66-67 9 391 5 875 422 306 405 319 460 356 1 287 981 A GE INTERVALS OF ONE YEAR 67-68 68-69 5 966 6 100 325 365 350 407 408 379 1 083 1 151 Years. 69-70 5 326 298 345 361 1 004 0-1 35 974 5 890 6 408 5 849 18 147 1-2 31 693 1 025 1 171 987 3 183 70-71 6 449 428 426 424 1 278 2-3 34 235 448 450 381 1 279 71-72 3 841 301 303 363 967 3-4 33 601 280 321 271 872 72-73 4 396 389 336 337 1 062 4-5 31 286 176 199 183 558 73-74 3 812 340 348 354 1 042 74-75 3 350 296 301 361 958 5-6 30 623 145 156 124 425 6-7 30 353 100 137 105 342 75-76 3 832 320 359 378 1 057 7-8 30 535 98 99 77 274 76-77 2 811 312 321 278 911 8-9 29 395 86 102 84 272 77-78 2 239 252 278 311 841 9-10 28 365 72 89 72 233 78-79 2 133 266 310 302 878 79-80 1 778 244 231 249 724 10-11 28 923 76 75 56 207 11-12 27 306 76 86 62 224 80-81 1 975 258 277 261 796 12-13 29 580 59 63 52 174 81-82 1 233 195 215 216 626 13-14 28 707 60 61 58 179 82-83 1 218 200 219 203 622 14-15 28 951 67 80 75 222 83-84 998 194 205 206 605 84-85 812 149 157 183 489 15-16 27 454 66 73 69 208 16-17 28 718 76 78 78 232 85-86 682 177 162 148 487 17-18 28 892 111 98 99 308 86-87 587 99 113 135 347 18-19 30 810 135 122 134 391 87-88 485 112 117 104 333 19-20 30 575 141 147 124 412 88-89 322 88 80 99 267 89-90 274 74 67 58 199 20-21 30 680 133 166 154 453 21-22 31 075 154 163 142 459 90-91 245 42 64 71 177 22-23 32 191 153 172 183 508 91-92 127 35 47 49 131 23-24 31 442 147 158 146 451 92-93 97 42 35 38 115 24-25 32 293 153 167 197 517 93-94 56 23 21 21 65 94-95 55 22 22 11 55 25-26 33 919 138 207 195 540 26-27 30 814 162 173 167 502 95-96 44 7 15 12 34 27-28 29 656 166 184 178 528 96-97 11 6 4 5 15 28-29 33 343 178 181 191 550 97-98 12 10 10 4 24 29-30 27 241 180 194 156 530 98-99 7 7 6 4 17 99-100 5 1 2 3 30-31 36 278 197 223 207 627 31-32 22 530 144 145 157 446 100-101 3 3 1 4 32-33 28 412 200 264 221 685 101-102 1 1 3 4 33-34 25 260 202 210 197 609 102-103 2 1 1 34-35 26 683 205 205 210 620 103-104 2 1 1 2 104-105 1 2 2 35-36 33 212 234 247 276 757 36-37 25 522 215 207 231 653 105-106 1 1 1 37-38 38-39 23 677 186 206 216 608 106-107 1 1 29 616 283 264 271 818 107-108 o ! 39-40 23 574 229 221 250 700 108-109 1 1 40-41 41-42 33 309 18 083 289 208 320 212 315 216 924 636 109-110 l 1 42-43 43-44 24 816 20 195 231 235 279 230 247 271 757 736 NUMBER OF BIRT HS REGISTERED. 44-45 18 731 200 207 244 651 CALENDAR YEAR. 1909 1910 1911 1909-1911 45-46 46-47 25 423 16 909 300 223 278 239 308 217 886 679 47-48 16 637 228 237 253 718 Number of births. . 43 350 44 254 45 360 132 964 48-49 19 867 262 273 275 810 49-50 17 278 246 254 266 766 ORIGINAL STATISTICS— TYPE I. TABLE 154 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOE FEMALES IN THE STATE OF MASSACHUSETTS: 1910. Unknown ages distributed. 445 Age Interval. Estimated REPORTED DEATHS. Age Interval. Estimated REPORTED DEATHS. "PfYPTTT k TTfVU Population July 1, 1910. ± \JrvJljAlHJri July 1, 1910. 1909 1910 1911 1909-1911 1909 1910 1911 1909-1911 1 2 3 4 S G 7 8 9 10 11 12 All ages. 1 716 933 24 841 26 093 25 488 70 422 Years. 50-51 51-52 24 817 12 779 252 191 304 199 310 226 866 616 INFANT MORTALITY BY MONTHS. 52-53 53-54 16 606 13 723 215 208 227 248 243 206 685 062 Months. 54-55 14 103 259 215 261 735 0-1 1 573 1 701 1 658 4 932 1-2 429 502 418 1 349 55-56 14 867 254 227 301 782 2-3 385 443 374 1 202 56-57 12 395 230 258 250 738 3-4 371 388 328 1 087 57-58 10 388 237 247 262 746 4-5 6-6 6-7 7-8 8-9 9-10 10-11 11-12 307 265 287 267 223 206 178 138 340 291. 304 231 207 206 189 177 306 245 291 231 186 206 186 142 953 801 882 729 616 618 553 457 58-59 59-60 60-61 61-62 62-63 63-64 64-65 65-66 12 091 10 457 15 650 7 809 9 672 8 880 8 648 11 243 280 276 378 267 322 292 332 387 288 265 368 271 307 336 325 460 322 266 349 288 334 361 346 466 304 890 807 1 095 826 963 989 1 003 1 313 967 66-67 7 042 307 356 A GE INTERVALS OF ONE YEAR 67-68 7 028 342 327 354 1 023 68-69 69-70 7 508 6 407 402 345 425 363 391 337 1 218 1 045 Years. 0-1 35 045 4 629 4 979 4 571 14 179 1-2 30 710 903 982 913 2 798 70-71 8 841 427 451 482 1 360 2-3 33 635 373 394 352 1 119 71-72 4 566 291 324 340 955 3-4 33 146 212 254 212 6 78 72-73 5 524 393 383 357 1 133 4-5 30 869 176 188 171 535 73-74 4 882 357 429 361 1 147 74-75 4 476 364 349 352 1 065 5-6 29 956 143 129 124 396 6-7 29 966 124 118 82 324 75-76 5 336 394 472 427 1 293 7-8 29 468 86 • 106 84 276 76-77 3 785 326 363 345 1 034 8-9 28 925 78 84 69 231 77-78 2 894 316 349 317 982 9-10 28 370 70 74 58 202 78-79 3 021 316 328 341 985 79-80 2 520 284 312 303 899 10-11 28 923 62 66 50 178 11-12 27 432 59 42 66 167 80-81 2 980 341 362 407 1 110 12-13 29 226 57 60 50 167 81-82 1 698 257 275 274 806 13-14 28 635 74 58 68 200 82-83 1 743 229 289 288 806 14-15 28 733 69 88 68 225 83-84 1 369 : 196 250 258 704 84-85 1 387 206 207 224 637 15-16 27 902 58 73 86 217 16-17 29 847 87 77 82 246 85-86 1 202 225 239 218 682 17-18 29 709 92 101 94 287 86-87 879 154 ' 192 193 539 18-19 32 593 110 110 104 324 87-88 707 170 166 163 499 19-20 31 592 123 125 125 373 88-89 569 138 141 128 407 89-90 428 125 116 118 359 20-21 34 585 126 118 119 363 21-22 31 467 136 107 128 371 90-91 407 108 97 101 306 22-23 34 502 171 181 146 498 91-92 235 71 68 67 206 23-24 34 360 152 157 132 441 92-93 171 49 58 67 174 24-25 34 077 153 174 140 467 93-94 132 52 51 59 162 94-95 97 31 39 40 110 25-26 35 285 161 154 178 493 26-27 32 346 171 157 203 531 95-96 90 28 27 35 90 27-28 30 220 148 164 176 488 96-97 43 28 12 23 63 28-29 34 018 173 194 147 514 97-98 27 13 11 5 29 29-30 27 179 177 167 186 530 98-99 32 13 15 10 38 99-100 14 3 1 3 7 30-31 36 968 191 179 178 548 31-32 23 015 148 155 157 460 100-101 14 2 7 4 13 32-33 29 469 203 207 157 567 101-102 3 4 3 7 33-34 25 569 211 170 161 542 102-103 1 2 2 1 5 34-35 27 654 183 183 208 574 103-104 1 2 2 4 35-36 32 628 197 204 203 604 104-105 1 1 1 3 36-37 26 073 192 175 181 548 105-106 1 1 37-38 23 940 193 212 193 598 106-107 1 1 38-39 30 410 255 238 215 708 107-108 1 1 39-40 40-41 24 001 33 175 218 201 195 238 201 237 614 676 108-109 1 1 41-42 42-43 17 649 24 889 160 219 165 235 162 214 487 668 NUR [BER OF BIR1 HS REGISTERED. 43-44 44-45 45-46 20 311 19 236 24 504 194 203 210 201 223 618 201 223 222 245 626 678 CALENDAR YEAR. 1909 1910 1911 1909-1911 46-47 17 330 185 179 206 570 Number of births . . 40 689 42 285 42 967 125 941 47-48 16 819 213 199 218 630 48-49 20 767 199 228 225 652 49-50 17 618 222 217 205 644 446 UNITED STATES LIFE TABLES. TABLE 155 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOR MALES IN THE STATE OF MICHIGAN: 1910. Unknown ages distributed. REPORTED DEATHS. REPORTED DEATHS. Age Interval. Estimated Age Interval. Estimated Population July 1, 1910. Population July 1, 1910. 1909 1910 1911 1909-1911 1909 1910 1911 1909-1911 1 2 3 4 5 6 7 8 9 10 11 12 All ages. 1 458 872 19 622 21 724 20 855 62 201 Years. 50-51 IS 612 229 217 239 685 51-52 12 681 142 141 184 467 INFANT MORTALITY BY MONTHS. 52-53 53-54 15 732 13 182 169 138 213 216 196 211 578 565 Months. .54-55 12 886 198 187 206 591 0-1 1 940 1 941 1 931 5 812 1-2 439 451 417 1 307 55-56 12 787 209 244 215 668 2-3 324 351 316 991 56-57 12 201 152 219 226 597 3-4 276 322 288 886 57-58 58-59 59-60 10 311 10 878 177 191 223 591 4-5 248 270 221 739 197 215 226 638 5-6 184 234 179 597 9 817 218 194 192 604 6-7 161 215 174 550 60-61 61-62 62-63 11 121 7 616 9 123 242 207 234 275 262 779 7-8 138 163 129 430 225 239 671 8-9 122 165 134 421 259 274 767 9-10 115 130 108 353 63-64 64-65 65-66 66-67 8 493 8 038 9 009 7 081 249 281 260 790 10-11 110 119 94 323 265 284 253 802 11-12 97 134 90 321 318 250 328 276 328 305 974 831 A 3E INTERVALS Or ONE YEAR 67-68 68-69 6 685 i 6 473 ! 330 318 302 313 286 295 918 926 Years. 69-70 5 965 274 327 287 888 0-1 31 550 4 154 4 495 4 081 12 730 1-2 28 659 681 737 604 2 022 70-71 6 240 299 353 310 962 2-3 31 148 254 312 274 840 71-72 3 929 253 268 315 836 3-4 30 597 178 212 169 559 72-73 4 792 297 318 349 964 4-5 29 934 132 175 139 446 73-74 4 320 301 373 334 1 008 74-75 3 818 277 329 345 951 5-6 29 419 114 115 104 333 6-7 28 843 97 96 113 306 75-76 3 755 307 355 320 982 7-8 28 231 71 110 82 263 76-77 3 273 29g 352 321 971 8-9 27 297 71 85 80 236 77-78 2 691 273 351 309 933 9-10 25 985 38 72 72 182 78-79 2 418 279 250 304 833 79-80 2 065 262 283 283 828 10-11 26 384 69 74 75 218 11-12 25 122 58 51 67. 176 80-81 1 995 229 266 302 797 12-13 26 800 56 57 60 173 81-82 1 311 201 216 234 651 13-14 26 088 63 80 66 209 82-83 1 257 210 204 209 623 14-15 26 673 60 67 81 208 83-84 1 070 195 222 195 612 84-85 933 197 190 195 582 15-16 24 867 71 67 61 199 16-17 27 688 75 82 60 217 85-86 797 151 179 135 465 17-18 27 431 106 96 103 305 86-87 567 133 154 149 436 18-19 28 436 114 130 121 365 87-88 472 97 112 140 349 19-20 27 624 115 153 160 428 88-89 366 93 96 93 282 89-90 279 79 75 78 232 20-21 26 916 110 121 119 350 21-22 27 641 128 154 113 395 90-91 241 60 71 70 201 22-23 27 744 153 175 159 487 91-92 146 41 56 47 144 23-24 26 890 139 139 155 433 92-93 96 26 30 42 98 24-25 27 541 124 139 126 389 93-94 72 21 23 20 64 94-95 44 13 22 25 60 25-26 26 582 147 145 155 447 26-27 26 282 120 154 115 389 95-96 34 14 13 15 42 27-28 24 969 103 157 147 407 96-97 19 4 10 5 19 28-29 26 080 129 150 161 440 97-98 16 13 8 5 26 29-30 22 458 114 135 127 376 98-99 11 6 5 3 14 99-100 9 5 •5 3 13 30-31 26 912 120 139 132 391 31-32 19 193 91 116 117 324 100-101 5 3 1 1 5 32-33 22 444 126 123 151 400 101-102 3 1 1 33-34 20 750 121 122 124 367 102-103 1 2 2 2 6 34-35 21 140 114 133 113 360 103-104 1 1 1 104-105 2 1 3 35-36 22 760 158 165 138 461 36-37 19 972 103 136 122 361 10-5-106 4 4 1 5 37-38 18 255 114 126 127 367 106-107 1 1 38-39 21 145 124 130 167 421 107-108 1 1 39-40 18 423 120 128 103 351 108-109 109-110 1 1 1 1 40-41 22 930 150 159 172 481 41-42 42-43 43-44 44-45 45-46 14 878 19 785 16 375 15 576 17 883 110 126 123 109 191 107 130 347 110-111 2 2 146 142 414 111-112 ~ 135 126 384 112-113 152 176 128 389 113-114 184 551 114-115 46-47 47-48 14 699 15 009 124 162 160 131 415 115-116 1 153 174 489 48-49 16 925 182 195 157 534 49-50 16 197 148 182 201 531 j lDDITIONAL mortalh Y STATISTI CS USED IN DETERMINING THE N (JMBER of BIRTHS. AGE INTERVAL 3 OF ONE YEA a. CALENDAR YEAR. A ge intervals of one yi :ar. i.ALEN 3AR YEAR. O-l 1-2 2-3 3-4 1-2 2-3 3-4 4-5 1912 4 001 580 281 187 1913 724 364 253 165 ORIGINAL STATISTICS— TYPE I. Table 156 POPULATION AND mortality statistics upon which is based the LIFE TABLE FOE FEMALES IN THE STATE OF MICHIGAN: 1910. Unknown ages distributed. 447 Age Interval. Estimated REPORTED DEATHS. Age Interval. Estimated REPORTED DEATHS Population July 1, 1910. Population July 1, 1910. 1909 1910 1911 1909-1911 1909 1910 1911 1909-1911 1 2 3 4 5 6 7 8 9 10 11 12 All ages. 1 359 511 16 638 18 164 17 138 51 940 Years. 50-51 51-52 16 091 11 204 159 120 165 136 170 165 494 421 INFANT MORTALITY BY MONTHS. 52-53 53-54 54-55 13 389 11 357 11 333 148 170 140 458 Months. 157 149 164 167 150 163 471 479 0-1 1 404 1 367 1 407 272 4 178 945 798 667 1-2 329 344 55-56 10 773 138 139 153 153 158 182 160 190 214 230 162 176 177 160 166 194 164 216 190 219' 178 168 157 145 163 190 184 203 210 191 478 4S3 487 458 4S7 566 508 609 614 640 2-3 248 314 236 198 56-57 57-58 10 180 3-4 » 222 247 S 743 4-5 192 218 176 139 586 449 437 373 58-59 59-60 60-61 61-62 9 339 5-6 126 184 8 699 6-7 158 153 126 10 084 7-8 113 152 108 6 634 8-9 114 117 100 331 62-63 7 925 9-10 92 118 82 292 274 63-64 64-65 7 620 10-11 100 91 83 7 277 11-12 99 121 68 288 65-66 66-67 8 175 6 086 208 227 255 257 216 243 679 727 AGE INTERVALS OF ONE YEAR. 67-68 68-69 6 058 5 959 246 213 228 687 237 263 241 741 Years. 69-70 5 283 222 243 271 736 0-1 30 742 3 197 3 426 2 995 9 618 1-2 28 128 595 642 539 1 776 70-71 5 669 264 291 299 854 2-3 29 925 245 302 245 792 71-72 3 612 226 232 243 701 3-4 29 692 169 182 172 523 72-73 4 343 270 281 271 822 4-5 29 342 119 121 120 360 73-74 3 882 228 258 274 760 74-75 3 534 201 288 295 784 5-6 28 525 105 117 113 335 6-7 28 472 94 103 73 270 75-76 3 501 285 278 265 828 7-8 27 378 51 84 90 225 76-77 3 061 280 319 254 853 8-9 26 653 67 70 63 200 77-78 2 402 239 241 273 753 9-10 25 139 42 75 49 166 78-79 2 273 271 233 257 761 79-80 1 829 201 236 186 623 10-11 25 721 51 55 45 151 11-12 24 769 42 56 45 143 80-81 1 925 216 251 237 704 12-13 25 932 41 53 50 144 81-82 1 226 152 172 210 534 13-14 25 825 60 63 67 190 82-83 1 229 158 222 189 569 14-15 25 710 57 71 69 197 83-84 1 077 164 179 177 520 84-85 848 189 165 161 515 15-16 24 539 64 71 53 188 16-17 27 279 78 99 64 241 85-86 731 136 150 124 410 17-18 26 196 100 110 75 285 86-87 602 107 132 123 362 18-19 27 983 114 101 88 303 87-88 507 86 103 127 316 19-20 25 824 117 117 115 349 88-89 373 106 89 78 273 89-90 283 74 80 84 238 20-21 27 364 115 139 140 394 21-22 24 769 109 148 122 379 90-91 229 66 68 70 204 22-23 25 947 116 153 143 412 91-92 120 40 44 42 126 23-24 25 470 143 154 138 435 92-93 108 38 42 28 108 24-25 25 614 139 144 129 412 93-94 78 30 30 25 85 94-95 57 20 19 28 67 25-26 25 277 121 119 130 370 26-27 23 818 128 123 125 376 95-96 39 12 13 10 35 27-28 22 284 116 143 165 424 96-97 30 9 11 9 29 28-29 23 530 103 138 146 387 97-98 19 13 13 4 30 29-30 20 218 119 125 109 353 98-99 11 2 4 8 14 99-100 12 2 2 4 8 30-31 23 936 120 113 127 360 31-32 18 027 93 103 108 304 100-101 5 3 5 4 12 32-33 21 057 128 112 154 394 101-102 1 2 3 3 8 33-34 19 258 115 133 137 385 102-103 2 1 1 2 34-35 19 212 111 132 111 354 103-104 2 1 2 1 4 35-36 20 051 111 126 123 360 104-105 4 1 3 4 36-37 18 512 126 115 139 380 105-106 3 1 1 37-38 16 948 132 144 114 390 106-107 38-39 19 174 141 137 141 419 107-108 2 n 39-40 40-41 16 834 20 049 116 122 127 139 121 116 364 377 108-109 109-110 1 1 41-42 42-43 43-44 44-45 45-46 13 383 17 686 15 377 14 489 15 421 102 118 97 82 117 100 132 123 105 133 112 102 106 127 133 314 352 326 314 383 110-111 111-112 112-113 113-114 114-115 1 1 1 1 1 46-47 13 685 102 152 141 395 47-48 13 58Q 112 125 110 347 48-49 15 088 145 154 156 455 49-50 13 838 150 138 139 427 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NUMBER OF BIRTHS. AGE INTERVALS OF ONE YEAR. A 5E INTERVAL. i OF ONE YEJ lR. CALEND AR YEAR. CALENDAR YEAR. 0-1 1-2 2-3 3-4 J 1-2 2-3 3-4 R. CALEND AR YEAR. CALEND iR YEAR. 0-1 1-2 2-3 3-4 1-2 2-3 3-4 4-5 1912 4 179 832 299 194 1913 902 378 248 171 ORIGINAL STATISTICS— TYPE I. Table 158 POPULATION and mortality statistics upon which is based the LIFE TABLE FOE FEMALES IN THE STATE OF NEW JERSEY: 1910. Unknown ages distributed. 449 Age Interval. Estimated REPORTED DEATHS. Age Interval. Estimated REPORTED DEATHS Population July 1, 1910. Population July 1, 1910. 1909 1910 1911 1909-1911 1909 1910 1911 1909-1911 1 2 3 4 5 6 7 8 9 10 11 12 All ages. 1 257 500 16 689 18 281 17 806 52 776 Years. 50-51 51-52 17 524 8 118 163 115 231 152 194 166 588 433 INFANT MORTALITY BY MONTHS. 52-53 53-54 10 831 8 779 144 145 178 182 157 504 464 162 Months. 54-55 9 161 151 171 162 484 0-1 1 095 1 269 1 150 314 267 3 514 923 852 1-2 286 323 316 55-56 5frn57 57-58 58-59 59-60 9 622 7 894 6 396 7 470 6 346 10 662 173 158 161 149 148 203 152 197 196 220 179 174 178 194 165 256 168 204 225 220 168 187 181 207 202 243 199 199 222 206 520 519 520 550 515 702 519 600 643 646 2-3 269 3-4 249 274 253 252 250 211 191 773 680 648 4r-5 216 5-6 205 6-7 190 199 203 592 60-61 7-8 192 173 182 547 61-62 4 677 6 059 8-9 167 185 177 529 62-63 9-10 175 177 167 519 63-64 5 612 10-11 153 150 142 445 64-65 5 369 11-12 142 147 120 409 65-66 66-67 7 133 4 200 266 198 274 205. 286 235 826 638 AGE INTERVALS OF ONE YEAR. 67-68 68-69 4 029 4 554 196 235 226 239 232 661 691 224 Years. 69-70 3 896 188 226 241 655 0-1 27 906 3 339 3 718 3 374 10 431 1-2 24 471 875 824 785 2 484 70-71 5 526 293 329 302 924 2-3 27 559 394 340 296 1 030 71-72 2 557 j 162 203 226 591 3-4 26 927 215 232 207 654 72-73 3 300 216 222 234 672 4-5 26 018 170 139 175 484 73-74 2 736 188 227 220 635 74-75 2 529 185 222 236 643 5-6 25 149 113 126 124 363 6-7 25 234 98 106 101 305 75-76 3 027 249 250 277 776 7-8 24 454 86 89 84 259 76-77 2 133 201 190 208 599 8-9 23 553 63 70 63 196 77-78 1 660 168 217 190 575 9-10 22 737 68 60 49 177 78-79 1 649 176 194 190 560 79-80 1 291 170 179 183 532 10-11 23 838 64 55 49 168 11-12 21 '498 53 50 46 149 80-81 1 593 168 192 230 590 12-13 23 904 49 60 44 153 81-82 839 117 133 133 383 13-14 22 106 73 55 56 184 82-83 942 120 163 145 428 14-15 23 190 50 51 55 156 83-84 737 121 134 168 423 84-85 650 95 146 130 371 15-16 22 320 58 67 55 180 16-17 24 568 7?" 79 58 204 85-86 588 107 126 108 341 17-18 23 682 72 82 231 86-87 445 93 91 90 274 18-19 26 715 98 99 99 296 87-88 304 84 78 76 238 19-20 24 382 89 90 90 269 88-89 268 60 66 82 208 89-90 231 50 71 57 178 20-21 27 098 98 115 114 327 21-22 23 448 102 115 120 337 90-91 196 45 52 44 141 22-23 25 693 111 126 132 369 91-92 110 23 32 27 82 23-24 25 131 112 129 124 ' 365 92-93 90 27 38 23 88 24-25 24 856 140 135 118 393 93-94 68 23 20 29 72 94-95 55 15 5 13 33 25-26 25 724 118 126 133 377 26-27 23 699 135 153 151 439 95-96 53 13 19 18 50 27-28 21 376 114 129 100 343 96-97 25 10 7 10 27 28-29 24 813 133 143 142 418 97-98 18 3 5 7 15 29-30 19 565 121 134 129 384 98-99 12 6 5 4 15 99-100 11 1 3 4 8 30-31 27 656 137 140 128 405 31-32 15 857 105 128 128 361 100-101 8 1 2 2 5 32-33 21 175 127 129 115 371 101-102 5 2 2 4 33-34 18 727 104 152 121 377 102-103 2 1 2 3 34-35 35-36 19 296 23 120 127 145 157 179 152 186 436 510 103-104 104-105 2 3 2 1 1 2 36-37 37-38 38-39 39-40 40-41 18 794 16 652 21 432 16 563 23 980 115 133 163 141 134 146 158 188 145 178 151 141 165 134 165 412 432 516 420 477 105-106 106-107 107-108 108-109 109-110 1 1 1 1 1 41-42 42-43 11 833 17 035 117 138 115 155 124 161 356 454 110-111 1 1 43-44 13 546 128 139 134 401 44-45 12 798 119 118 115 352 45-46 17 178 145 147 166 458 46-47 11 895 146 149 153 448 47-48 11 273 112 126 122 360 48-49 13 502 170 141 160 471 49-50 11 578 146 168 152 466 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NUMBER OF BIRTHS. VR YEAR. AGE INTERVALS OF ONE YEAR. CALENDAR YEAR. AG E intervals of one yea I. CALEND 0-1 1-2 2-3 3-4 1-2 2-3 3-4 4-5 1912 3 277 745 304 179 1913 779 325 195 147 150822°— 21 29 450 Table 159 UNITED STATES LIFE TABLES. POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOR MALES IN THE STATE OF NEW YORK: 1910. Unknown ages distributed. REPORTED DEATHS. REPORTED DEATHS. Age Interval. Estimated Age Interval. Estimated Population July 1, 1910. Population July 1, 1910. 1909 1910 1911 1909-1911 1909 1910 1911 1909-1911 1 2 3 4 5 6 7 8 9 10 11 12 All ages. 4 605 057 75 466 79 664 78 368 233 498 Years. 50-51 51-52 65 449 34 215 1 111 711 1 214 733 1 194 808 3 519 2 252 INFANT MORTALITY BY MONTHS. 52-53 53-54 44 402 35 704 841 826 958 793 994 885 2 793 2 504 Months. 54-55 36 536 820 913 910 2 643 0-1 5 310 5 604 5 490 16 404 1-2 1 419 1 535 1 495 4 449 55-56 56-57 37 624 31 977 26 530 897 805 662 1 032 874 1 005 962 2 934 2 641 2 448 2-3 1 142 1 301 1 128 3 571 3-4 1 070 1 035 940 3 045 57-58 894 892 4-5 855 980 836 730 2 671 2 383 58-59 59-60 28 392 24 582 821 796 905 832 1 211 785 917 966 942 922 2 648 2 446 3 608 2 378 2 776 2 831 2 730 5-fl 806 847 818 6-7 758 850 664 2 272 60-61 35 266 18 207 22 944 20 077 1 181 719 1 216 874 7-8 686 713 639 2 038 61-62 8-9 675 675 589 1 939 62-63 63-64 863 911 850 996 954 938 9-10 673 640 536 1 849 10-11 573 510 497 1 580 64-65 19 329 11-12 602 544 496 1 642 65-66 66-67 24 485 15 961 1 113 804 1 199 897 1 170 830 3 482 2 531 AGE INTERVALS OF ONE YEAR. 67-68 68-69 15 015 863 914 906 986 2 755 ' 15 554 937 963 2 814 Years. 69-70 13 787 874 909 888 2 671 0-1 97 764 14 569 15 234 14 040 43 843 1-2 86 619 3 523 3 401 2 993 9 917 70-71 17 264 937 1 147 1 131 3 215 2-3 94 229 1 484 1 545 1 320 4 349 71-72 9 442 755 790 869 2 414 3-4 90 718 866 868 776 2 510 72-73 11 434 908 900 959 2 767 4-5 86 876 587 600 536 1 723 73-74 9 584 854 894 890 2 638 74-75 8 966 765 836 831 2 432 5-6 83 663 454 445 445 1 344 6-7 83 257 376 370 352 1 098 75-76 9 287 855 923 964 2 742 7-8 82 036 280 307 298 885 76-77 7 336 759 833 776 2 368 8-9 78 449 236 252 258 746 77-78 5 718 675 676 748 2 099 9-10 77 758 196 217 224 637 78-79 5 368 694 734 753 2 181 79-80 4 539 664 627 622 1 913 10-11 79 986 213 166 188 567 11-12 74 846 192 181 194 567 80-81 4 836 612 669 644 1 925 12-13 83 071 186 200 180 566 81-82 3 003 479 515 560 1 554 13-14 78 818 165 200 185 550 82-83 3 082 490 559 514 1 563 14-15 79 393 188 201 216 605 83-84 2 407 476 472 518 1 466 84-85 2 215 405 446 481 1 332 15-16 73 463 204 217 201 622 16-17 83 238 240 260 280 780 85-86 1 754 410 379 377 1 166 17-18 81 405 291 360 353 1 004 86-87 1 374 330 373 355 1 058 18-19 88 120 384 401 366 1 151 87-88 1 079 251 262 247 760 19-20 85 576 413 416 434 1 263 88-89 781 212 232 213 657 89-90 692 175 176 194 545 20-21 88 209 415 459 465 1 339 21-22 91 795 493 494 480 1 467 90-91 608 149 167 154 470 22-23 94 584 505 566 510 1 580 91-92 306 99 116 122 337 23-24 93 175 497 543 551 1 591 92-93 224 73 77 99 249 | 24-25 95 787 518 560 556 1 634 93-94 ' 194 58 64 63 185 94-95 119 37 34 49 120 25-26 97 760 580 599 600 1 779 26-27 92 825 524 567 574 1 665 95-96 96 24 '33 34 91 27-28 86 544 550 624 595 1 769 96-97 52 27 32 16 75 28-29 97 664 686 703 668 2 057 97-98 37 12 17 13 42 29-30 78 829 538 559 562 1 659 98-99 21 7 8 14 29 99-100 16 12 13 7 32 30-31 107 224 748 812 772 2 332 31-32 63 728 534 558 594 1 686 100-101 23 8 7 4 19 32-33 82 589 717 696 665 2 078 101-102 6 3 1 7 11 33-34 72 360 650 653 689 1 992 102-103 2 2 7 1 10 34-35 73 548 670 712 722 2 104 103-104 2 2 2 4 104-105 1 2 2 4 35-36 89 630 895 960 999 2 854 36-37 71 134 723 757 762 2 242 105-106 2 1 1 37-38 64 573 722 763 764 2 249 106-107 3 1 1 1 3 38-39 78 961 870 881 924 2 675 107-108 1 1 o 39-40 63 475 779 791 768 2 338 108-109 1 1 1 40-11 92 520 1 073 1 178 1 064 3 315 109-110 1 1 41-42 42-43 47 266 68 050 633 860 688 905 735 940 2 056 2 705 110-111 1 1 1 43-44 44-15 53 576 51 249 756 693 745 732 808 795 2 309 2 220 135-136 1 45-46 67 782 1054 1 084 1 106 3 244 46-47 47 540 734 794 725 2 253 47-48 45 580 710 838 836 2 384 48-49 53 366 852 901 965 2 718 49-50 46 537 837 858 895 2 590 A DDITIONAL, MORTALITY STATISTICS USED IN DETERMINING THE N UMBER OF BIRTHS. CALEND A n W A TJ AGE INTERVALS OF ONE YEAR. A JE INTERVAL! OF ONE YE^ iR. rl.lt X UfAJtL, 0-1 1-2 2-3 3-4 CALENDAR YEAR. 1-2 2-3 3-4 4-5 1912 13 746 2 929 1 263 725 1913 2 973 1 305 803 615 Table 160 ORIGINAL STATISTICS— TYPE I. POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOR FEMALES IN THE STATE OF NEW YORK: 1910. Unknown ages distributed. 451 Age Interval. Estimated Population July 1, 1910. REPORTED DEATHS. Age Interval. Estimated Population July 1, 1910. REPORTED DEATHS. 1909 1910 1911 1909-1911 1909 1910 1911 1909-1911 1 2 3 4 5 6 7 8 9 10 11 12 All ages. 4 647 475 64 607 68 014 67 286 199 907 Years. 50-51 51-52 52-53 53-54 65 347 30 607 40 881 33 213 725 521 566 558 866 554 743 598 824 611 738 619 2 415 1 686 2 047 1 775 INFANT MORTALITY BY MONTHS. Months. 0-1 4 006 4 199 1 228 4 290 1 174 12 495 3 558 54-55 34 681 634 649 680 1 963 1-2 2-3 3-4 1 156 55-56 37 142 655 742 779 2 176 906 828 1 034 920 749 744 896 797 677 567 2 836 2 545 2 173 1 964 56-57 57-58 58-59 59-60 30 710 25 564 29 014 24 131 583 691 694 1 90s 4-5 747 596 611 691 1 S!« 5-6 653 740 724 760 2 224 691 666 677 2 034 6-7 7-8 608 580 701 590 608 501 1 917 1 671 60-61 61-62 40 486 18 026 999 639 1 017 1 037 776 3 053 8-9 9-10 10-11 11-12 640 2 055 580 606 518 1 704 62-63 23 335 747 865 863 2 475 574 512 485 1 571 63-64 20 798 810 778 855 2 443 482 500 451 1 433 64-65 20 535 839 821 766 2 426 496 494 405 1 395 65-66 66-67 67-68 68-69 26 996 16 697 16 151 17 270 996 771 798 900 1 152 782 876 885 1 093 792 946 961 3 241 2 345 2 620 2 746 AGE INTERVALS OP ONE YEAR. Years. 69-70 14 023 829 852 884 2 565 0-1 94 699 11 616 12 277 11 369 35 262 1-2 84 375 3 223 3 053 2 630 8 906 70-71 20 642 1 080 1 211 1 242 3 533 2-3 92 605 1 242 1 385 1 151 3 778 71-72 9 965 700 773 843 2 316 3-4 89 965 802 S69 739 2 410 72-73 12 524 849 933 956 2 738 4-5 S5 237 533 541 502 1 576 73-74 10 769 840 878 893 2 611 74-75 9 872 762 861 816 2 439 5-6 82 897 424 447 370 1 241 6-7 82 561 356 381 322 1 0.59 75-76 11 491 967 963 997 2 927 7-8 81 156 252 321 285 858 76-77 8 948 818 907 885 2 610 8-9 79 032 212 217 231 660 77-78 6 586 675 734 828 2 237 9-10 75 939 177 185 154 516 78-79 6 553 718 729 854 2 301 79-80 5 308 703 716 685 2 104 10-11 79 318 167 179 161 507 11-12 74 646 144 149 155 44S 80-81 6 411 772 843 833 2 44S 12-13 82 449 152 188 156 496 81-82 3 505 514 569 628 1 711 13-14 78 448 173 184 185 542 82-83 3 614 563 631 649 1 843 14-15 78 803 173 240 189 602 83-84 3 048 501 542 574 1 617 84-85 2 828 471 539 539 1 549 15-16 75 726 1S8 212 224 624 16-17 87 100 247 234 229 710 85-86 2 415 429 493 473 1 395 17-18 84 969 277 286 287 850 86-87 1 753 413 386 443 1 242 18-19 96 774 i 331 351 332 1 014 87-88 1 471 334 372 359 1 065 19-20 91 349 332 344 373 1 049 88-89 1 148 257 276 276 809 89-90 947 231 242 268 741 20-21 101 256 353 391 392 1 136 21-22 88 962 394 408 423 1 225 90-91 842 218 256 233 707 22-23 99 025 445 450 455 1 350 91-92 434 147 141 135 423 23-24 96 127 458 490 4S5 1 433 92-93 363 107 116 112 335 24-25 96 136 475 524 516 1 515 93-94 271 68 80 98 246 94-95 172 72 68 75 215 25-26 97 984 511 488 497 1 496 26-27 88 654 503 507 478 1 488 95-96 159 63 48 60 171 27-28 79 9S1 433 513 488 1 434 96-97 96 43 39 38 120 28-29 92 364 537 540 524 1 601 97-98 49 38 25 29 92 29-30 72 217 487 491 453 1 431 98-99 43 18 25 17 60 99-100 31 12 9 10 31 30-31 101 892 554 592 544 1 690 31-32 57 567 430 398 428 1 256 100-101 29 13 16 14 43 32-33 77 536 550 550 576 1 682 101-102 8 3 8 4 15 33-34 66 730 484 513 502 1 499 102-103 6 1 9 1 11 34-35 69 261 486 532 535 1 553 103-104 j 4 1 3 4 8 104-105 3 2 1 1 4 35-36 84 000 581 589 697 1 867 36-37 67 899 539 546 586 1 671 105-106 3 1 4 5 37-38 60 477 496 471 545 1 512 106-107 4 2 1 1 4 38-39 76 748 645 612 6S3 1 940 107-108 1 1 1 2 4 39-40 59 384 581 529 544 1 654 108-109 5 1 6 109-110 1 1 1 40-41 87 272 699 732 674 2 105 41-42 42 951 416 474 483 1 373 110-111 3 1 1 2 42-43 62 672 598 591 632 1 821 111-112 1 1 43^4 50 082 500 525 531 1 556 112-113 1 1 2 44-45 45-16 47 959 62 758 467 648 540 650 537 735 1 544 2 033 113-114 114-115 1 1 46-47 47-48 44 821 42 992 534 524 525 595 561 • 556 1 620 1 675 115-116 1 48-49 49-50 52 446 43 346 661 578 668 573 676 584 2 005 1 735 117-118 1 1 ADDITIONAI , MORTALITY STATISTICS USED IN DETERMINING THE ]S UMBER OI ' BIRTHS. AG E INTERVALS OF ONE YEAR. pArrxTnAD 'wx'D AG e intervals OF ONE YEA R. CALEND AR YEAR. 0-1 1-2 2-3 3-4 KjALilLriUAK. I £>A±t. 1-2 2-3 3-4 4-5 1912 10 990 2 508 1 083 659 1913 2 577 1 161 734 534 452 UNITED STATES LIFE TABLES. Table 161 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOE MALES IN THE ORIGINAL Unknown ages distributed. REGISTRATION STATES: 1901. REPORTED DEATHS. REPORTED DEATHS Age Estimated Population July 1, 1900. Age Estimated Population July i, 1900. Interval. 1900 1901 1902 1 1900-1902 1 Interval. 1900 1901 1902 1900-1902 1 2 3 1 5 6 7 8 9 10 11 12 All ages. 10 004 754 179 016 174 867 168 639 522 522 Years. 50-51 126 902 1 993 2 047 1 932 5 972 51-52 76 304 1 263 1 448 1 336 4 047 INFANT MORTALITY P.Y MONTHS. 52-53 88 315 1 612 1 714 1 713 5 039 53-54 77 022 1 502 1 545 1 570 4 617 Months. 54-55 77 953 1 596 1 552 1 552 4 700 0-1 1-2 2-3 3-4 4-5 5-6 6-7 13 262 3 526 3 319 3 113 2 788 2 581 2 427 12 422 3 192 2 865 2 752 2 389 2 206 2 068 25 684 6 718 6 184 5 865 5 177 4 787 4 495 55-56 56-57 57-58 58-59 59-60 86 214 72 507 62 788 62 453 59 365 1 911 1 762 1 633 1 692 1 513 1 852 1 790 1 658 1 801 1 720 1 696 1 676 1 710 1 772 1 642 5 459 5 228 5 001 5 265 4 875 7-S 8-9 2 078 1 959 1 746 1 630 3 824 3 589 61-62 62-63 45 411 52 840 1 509 1 799 1 762 1 559 1 995 4 830 9-10 10-11 1 755 1 546 1 472 1 270 3 227 2 816 63-«4 64-65 51 212 47 039 1 876 1 942 1 884 1 855 5 615 11-12 I 419 1 210 2 629 65-66 66-67 52 949 40S80 2 302 1 838 2 347 1 932 2 344 1 765 6 993 5 535 1 AGE INTERVALS OF ONE YEAR. 67-68 68-69 39 860 35 828 2 013 2 072 1 978 1 951 2 032 5 942 Years. 69-70 32 558 1 944 1 982 1 926 5 852 0-1 222 062 39 773 35 222 35 079 110 074 1-2 199 431 8 953 7 683 7 627 24 263 70-71 40 277 2 447 2 336 2 233 7 016 2-3 208 491 3 877 3 330 3 365 10 572 71-72 25 630 1 736 1 931 1 705 5 372 3-1 210 584 2 446 2 146 1 992 6 584 72-73 28 253 2 075 2 019 2 202 6 296 4-5 207 922 1 693 1 639 1 546 4 878 73-74 24 865 1 996 2 019 1 947 5 962 74-75 22 291 2 013 2 000 2 001 6 014 5-6 203 896 1 339 1 224 1 204 3 767 6-7 205 SS3 1 107 1 091 1 034 3 232 75-76 23 591 2 201 2 195 1 956 6 352 7-8 202 314 897 822 793 2 512 76-77 18 674 1 992 1 950 1 890 5 832 8-9 198 093 735 716 680 2 131 77-78 15 916 1 728 1 724 1 770 5 222 9-10 191 568 629 577 567 1 773 78-79 14 699 1 867 1 829 1 805 5 501 79-80 12 489 1 601 1 653 1 557 4 811 10-11 194 409 558 584 557 1 699 11-12 181 064 528 534 475 1 537 S0-81 12 731 1 822 1 755 1 675 5 252 12-13 183 015 498 458 428 1 384 81-82 8 785 1 347 1 490 1 227 4 064 13-14 175 459 530 519 470 1 519 82-83 7 544 1 362 1 521 1 446 4 329 14-15 181 625 544 557 481 1 582 83-84 6 054 1 151 1 290 1 202 3 643 84-85 5 404 1 140 1 143 1 027 3 310 15-16 178 489 606 586 517 1 709 16-17 181 505 757 688 677 2 122 4 442 955 978 875 2 808 17-18 175 582 851 875 763 2 489 86-87 3 083 770 822 732 2 324 18-19 177 416 980 955 947 2 882 87-88 2 688 666 609 659 1 934 19-20 172 879 1 111 1 065 999 3 175 88-89 2 062 553 544 482 1 579 89-90 1 497 450 454 402 1 306 20-21 179 142 1 113 1 130 1 098 3 341 90-91 1 207 376 376 378 21-22 181 728 1 254 1 254 1 138 3 646 91-92 697 251 235 722 569 406 317 22-23 183 452 1 295 1 274 1 215 3 784 92-93 4S8 174 205 190 23-24 184 720 1 312 1 332 1 245 3 889 93-94 369 136 129 24-25 191 030 1 465 1 341 1 234 4 040 94-95 253 105 110 102 2,5-26 194 454 1 421 1 503 1 310 4 234 95-96 220 75 72 91 238 26-27 180 889 1 403 1 401 1 321 4 128 126 63 50 51 164 27-2« 181 847 1 445 1 440 1 316 4 201 86 30 34 40 104 28-29 190 499 1 524 1 669 1 518 4 711 68 23 35 26 84 29-30 168 311 1 406 1 364 1 285 4 055 100-101 52 29 24 24 26 21 74 68 26 26 13 14 30-31 216 735 1 708 1 687 1 640 5 035 101-102 4 8 11 5 * 31-32 141 930 1 178 1 385 1 169 3 732 102-103 6 32-33 168 595 1 590 1 533 1 581 4 704 103-104 5 3 33-34 155 315 i 1 455 1 446 1 408 4 309 104-105 6 34-35 152 960 1 354 1 420 1 333 4 107 105-106 2 1 1 7 2 6 2 ... 1 35-36 177 352 1 762 1 905 1 771 5 438 106-107 1 36-37 143 674 1 416 1 453 1 455 4 324 107-108 3 3 1 1 37-38 136 526 1 367 1 397 1 357 4 121 108-109 38-39 158 391 1 739 1 649 1 635 5 023 109-110 Ages 100 39^0 143 607 1 418 1 426 1 313 4 157 40-41 182 431 1 984 2 143 1 900 6 027 110-111 111-112 \ arid over, 130 2 3 1 5 3 1 41-42 109 420 1 199 1 367 1 244 3 810 112-113 1 42-43 133 154 1 594 1 657 1 756 5 007 113-114 43-44 112 949 1 400 1 438 1 397 4 235 114-115 44-45 110 526 1 335 1 389 1 372 4 096 11.5-116 1 1 45-46 46-47 132 328 97 087 1 755 1 290 1 974 1 371 1 828 1 284 5 557 3 945 116-117 1 47-48 48-49 94 808 100 774 1 261 1 493 1 36S 1 552 1 381 1 496 4 010 4 541 119-120 1 1 49-50 95 137 1 461 1 407 1 301 4 169 128-129 1 1 ' ' ADDITIONAL MORTALITY STATISTI CS USED IN DETERML> riNG THE N UMBER OF BIRTHS. CALENDAR TEAR. AGE INTERVALS OF ONE YEAR. CALENDAR YEAR. AGE INTERVALS OF OI> E YEAR. 0-1 1-2 2-3 :s-l 1-5 O-l 1-2 2-3 3-1 1-5 1903 1904 34 093 7 087 7 473 3 168 3 310 2 083 2 109 1 3i5 ; 1 597 190") 1906 1 946 2 076 1 405 1 476 i Deaths by months under 1 year of age in 1902 are not available. Hence deaths by months in column B include only thoso in 1900 and 1901. ORIGINAL STATISTICS— TYPE II. TABLE 162 POPULATION AND MORTALITY STATISTICS UPON WHIOH IS BASED THE LIFE TABLE FOR FEMALES IN THE ORIGINAL REGISTRATION STATES: 1901. Unknown ages distributed. 453 REPORTED DEATHS. REPORTED DEATHS. Age Estimated Age Estimated Population July 1,1900. Interval. POPULATION July 1, 1900. 1900 1901 1902 > 1900-1902 1 Interval. 1900 1901 1902 1900-1902 1 2 3 I 5 6 7 8 9 10 11 12 All ages. 9 990 458 164 201 157 336 149 997 471 534 Years. 50-51 51-52 123 439 72 619 1 617 1 077 1 681 1 258 1 494 1 119 4 792 3 454 INFANT MORTALITY HY MONTHS. 52-53 83 342 1 481 1 430 1 417 4 328 — - — 53-54 74 044 1 338 1 353 1 230 3 921 Months. 54-55 76 735 1 457 1 378 1 345 4 180 0-1 1-2 9 694 2 811 9 120 2 398 IS 814 5 209 55-56 85 845 1 609 1 582 1 384 4 575 2-3 2 647 2 326 4 973 56-57 71 234 1 552 1 620 1 4C3 4 575 3-4 2 559 2 180 4 739 57-58 62 736 1 429 1 426 1 470 4 325 4-5 5-6 6-7 7-8 2 294 2 091 2 011 1 712 1 986 1 738 1 734 1 437 4 280 3 829 3 745 3 149 58-59 59-60 60-61 61-62 64 003 60 821 85 773 46 156 1 591 1 466 2 063 1 384 1 606 1 404 2 150 1 555 1 527 1 357 1 984 1 359 4 724 4 227 6 197 4 298 8-9 9-10 10-11 1 669 1 474 1 314 1 373 1 292 1 148 3 042 2 766 2462 62-63 63-64 64-65 54 396 52 217 49 539 1 688 1 747 1 796 1 762 1 831 1 767 1 774 1 562 1 708 5 224 5 140 5 271 11-12 1 310 1 060 2 373 65-66 66-67 57 148 42 842 2 138 1 695 2 207 1 754 2 082 1 669 6 427 5 118 AGE INTERVALS OF ONE YEAR. 67-68 40 749 1 874 1 836 1 748 5 458 68-69 38 471 1 968 2 051 1 887 5 906 Years. 69-70 34 806 1 794 1 810 1 729 5 333 0-1 217 338 31 589 27 792 27 781 S7 162 1-2 195 974 7 970 6-764 6 791 21 525 70-71 44 331 2 471 2 479 2 323 7 273 2-3 205 363 3 587 3 028 3 180 9 795 71-72 25 713 1 644 1 768 1 638 5 050 3-4 207 5C8 2 261 2 006 1 933 6 200 72-73 29 111 2 027 1 925 2 022 5 974 4-5 205 014 1 735 1 533 1 419 4 687 73-74 25 358 1 899 1 935 1 745 5 579 74-75 23 505 1 919 1 926 1 749 5 594 5-6 202 153 1 380 1 135 1 188 3 703 6-7 203 0C8 1 054 1 026 890 2 970 75-76 26 017 2 164 2 251 2 064 6 479 7-8 198 875 837 817 730 2 384 76-77 19 835 1 888 1 960 1 842 5 690 8-9 196 172 727 636 • 600 1 963 77-78 16 537 1 630 1 854 1 558 5 042 9-10 188 499 569 526 463 1 558 78-79 15 619 1 809 1 784 1 746 5 339 79-80 13 303 1 663 1 574 1 408 4 645 10-11 192 472 522 477 436 1 435 11-12 179 752 541 470 410 1 421 80-81 15 169 1 920 1 931 1 745 5 596 12-13 181 781 515 447 477 1 439 81-82 9 319 1 452 1 505 1 280 4 237 13-14 175 977 572 453 466 1 491 82-83 S 599 1 389 1 475 1 459 4 323 14-15 179 570 637 549 517 1 703 83-84 7 322 1 273 1 303 1 192 3 768 84-85 6 473 1 249 1 204 1 166 3 619 15-16 179 461 693 638 561 1 892 16-17 185 710 819 729 711 2 259 S5-86 5 469 1 070 1 131 1 013 3 214 17-18 182 897 901 819 757 2 477 86-87 4 127 912 921 811 2 644 18-19 190 884 978 966 935 2 879 87-88 3 533 804 767 732 2 303 19-20 187 105 1 084 1 038 1 030 3 152 88-89 2 708 695 698 581 1 974 89-90 2 082 571 546 511 1 628 20-21 202 087 1 186 1 139 1 079 3 404 21-22 185 210 1 186 1 181 1 161 3 528 90-91 1 992 570 558 502 1 630 22-23 200 297 1 347 1 313 1 269 3 929 91-92 1 043 325 396 312 1 033 23-24 200 373 1 400 1 299 1 244 3 943 92-93 857 281 294 291 866 24-25 205 227 1 500 1 397 1 280 4 177 93-94 625 228 231 201 660 94-95 492 186 177 164 527 25-26 206 981 1 489 1 429 1 255 4 173 26-27 186 769 1 488 1 411 1 336 4 235 95-96 376 153 159 146 458 27-28 182 641 1 426 1 295 1 300 4 021 96-97 245 121 81 99 301 28-29 188 197 1 542 1 442 1 429 4 413 97-98 161 70 80 67 217 29-30 165 929 1 437 1 343 1 253 4 033 98-99 143 57 57 52 166 99-100 101 30 43 26 99 30-31 203 939 1 487 1 546 1 342 4 375 31-32 138 395 1 174 1 198 1 135 3 507 100-101 41 32 29 102 32-33 162 673 1 429 1 399 1 435 4 263 101-102 6 11 8 25 33-34 148 469 1 364 1 272 1 166 3 802 102-103 9 8 13 30 34-35 146 959 1 297 1 275 1 271 3 843 103-104 104-105 13 4 4 13 4 4 21 21 35-36 163 180 1 455 1 415 1 293 4 163 36-37 137 979 1 300 1 314 1 231 3 845 105-106 Ages 100 11 4 3 18 37-38 132 531 1 211 1 124 1 200 3 535 106-107 and over, 4 4 1 9 38-39 150 016 1 439 1 463 1 258 4 160 107-108 213 2 4 6 39-40 137 368 1 272 1 185 1 179 3 636 108-109 109-110 3 2 1 5 1 40-41 165 140 1 566 1 599 1 495 4 660 41-42 102 587 1 029 1 153 • 1 157 3 339 110-111 2 1 3 42-43 123 266 1 335 1 335 1 240 3 910 111-112 43-44 107 974 1 155 1 193 1 111 3 459 112-113 2 4 2 8 44-45 45-46 105 567 120 671 1 184 1 439 1 183 1 327 1 053 1 292 3 420 113-114 1 1 4 058 114-115 1 1 46-47 93 402 1 136 1 103 1 065 3 304 47-48 91 646 1 188 1 169 1 088 3 445 48-49 98 960 1 230 1 235 1 225 3 690 49-50 93 219 1 208 1 192 1 117 3 517 ADDITIONAL MORTALITY STATISTICS USED IN DETERMI1 JING THE IS UMBER OI ' BIRTHS. CALENDAR YEAR. AGE INTERVALS OF ONE YEAR. CALENDAR YEAR. age in tervals of 3NE YEAR. 0-1 1-2 2-3 3-4 4-5 0-1 1-2 2-3 3-4 4-5 26 917 6 391 6 788 2 972 2 954 1 870 1 935 1 403 1905 2 903 1 819 1 261 1903 1904 1 396 1906 1 920 1 345 i Deaths by months under 1 year of age in 1902 are not available. Hence deaths by months in column 6 include only those in 1900 and 1901. 454 UNITED STATES LIFE TABLES. TABLE 163 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOE WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1901. Unknown ages distributed. REPORTED DEATHS. REPORTED DEATHS Age Interval. Estimated Population July 1, 1900. Age Interval. Population July 1, 1900. 1900 1901 1902 ' 1900-1902 » 1900 1901 1902 1900-1902 1 2 3 4 5 6 7 8 ! 9 10 11 12 9 798 243 173*731 169 530 163 387 506 648 Years. 50-51 123 236 1 913 1 223 1 943 1 399 1 849 1 291 5 705 3 913 51-52 75 027 INT A] MORTALITY i I - 52-53 86 621 1 562 1 658 1 669 4 889 53-54 54-55 75 715 76 514 1 463 1 548 1 540 4 498 Months. 1 506 1 496 4 550 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12 861 3 405 3 183 3 002 2 682 2 470 2 312 1 991 1 899 1 694 1 504 1 379 11 996 3 071 2 756 2 650 2 290 2 124 1 976 1 672 1 587 1 418 1 237 1 168 24 857 6 476 5 939 5 652 4 972 4 594 4 288 3 663 3 486 3 112 2 741 2 547 55-56 56-57 57-58 58-59 59-60 60-61 61-62 62-63 63-64 64-65 65-66 84 439 71 188 61 848 I 61 422 58 427 78 371 44 917 52 212 50 582 46 521 51 968 1 850 1 699 1 587 1 663 1 482 2 159 1 485 1 767 1 841 1 922 2 233 1 798 1 726 1 611 1 749 1 686 2 252 1 722 1 858 1 857 1 880 2 279 1 636 1 626 1 659 1 717 1 607 2 083 1 53.5 1 958 1 836 1 806 2 285 1 736 5 284 5 051 4 857 5 129 4 775 6 494 4 742 5 583 5 534 5 608 6 797 5 463 66-67 40 415 A 3E INTERVALS OF ONE YEAR. 67-68 39 408 1 985 1 945 1 931 5 861 08-69 69-70 35 423 32 209 2 043 1 918 2 136 1 955 2 001 1 911 6 180 5 784 Years. 0-1 218 283 38 382 33 945 33 729 106 056 1-2 196 213 8 608 7 433 7 319 23 360 70-71 39 565 2 385 2 285 2 167 6 837 2-3 205 027 3 754 3 208 3 244 10 206 71-72 25 397 1 724 1 913 1 685 5 322 3-4 207 175 2 380 2 077 1 937 6 394 72-73 27 984 2 053 1 990 2 173 6 216 4-5 204 525 1 644 1 590 1 500 4 734 73-74 24 618 1 974 1 999 1 923 5 896 74-75 22 093 1 995 1 979 1 983 5 957 5-6 200 526 1 303 1 188 1 179 3 670 6-7 202 549 1 077 1 061 1 004 3 142 75-76 23 237 2 166 2 163 1 913 6 242 7-8 199 066 860 803 763 2 426 70-77 18 510 1 978 1 928 1 871 5 777 8-9 194 807 718 691 660 2 069 77-78 15 787 1 715 1 709 1 755 5 179 9-10 188 420 603 556 546 1 705 78-79 14 532 1 848 1 811 1 784 5 443 70-80 12 354 1 589 1 643 1 540 4 772 10-11 191 157 538 559 540 1 637 11-12 178 086 507 509 452 1 468 80-81 12 536 1 773 1 713 1 644 5 130 12-13 179 869 479 444 409 1 332 81-82 8 727 1 335 1 483 1 222 4 040 13-14 172 431 514 496 453 1 463 82-83 7 464 1 353 1 511 1 425 4 289 14-15 178 487 519 544 457 1 520" 83-84 5 991 1 144 1 280 1 191 3 615 84-85 5 342 1 125 1 136 1 018 3 279 15-16 175 311 585 560 501 1 646 16-17 178 173 721 662 633 2 016 85-86 4 365 935 959 862 2 756 17-18 172 267 819 839 735 2 393 86-87 3 026 764 815 731 2 310 18-19 173 574 921 912 901 2 734 87-88 2 652 658 004 655 1 917 19-20 168 742 1 059 1 020 953 3 032 88-89 2 028 546 538 477 1 561 89-90 1 468 442 448 396 1 286 20-21 174 641 1 060 1 071 1 042 3 173 21-22 177 094 1 191 1 204 1 089 3 484 90-91 1 174 367 370 369 1 106 22-23 178 401 1 239 1 208 1 154 3 601 91-92 691 247 233 232 712 23-24 179 557 1 240 1 268 1 175 3 683 92-93 484 173 202 184 559 24-25 185 716 1 405 1 261 1 156 3 822 93-94 362 134 125 139 398 94-95 246 102 108 101 311 25-26 18S 794 1 342 1 426 1 243 4 011 26-27 176 197 1 333 1 325 1 265 3 923 95-96 207 73 67 85 225 27-28 177 162 1 390 1 378 1 263 4 031 96-97 116 59 47 49 155 28-29 185 315 1 470 1 602 1 445 4 517 97-98 82 30 33 39 102 29-30 164 106 1 350 1 300 1 218 3 868 98-99 fil 23 33 25 81 99-100 47 25 24 19 68 30-31 210 285 1 636 1 005 1 557 4 798 31-32 138 788 1 149 1 324 1 137 3 610 100-101 19 18 16 53 32-33 164 672 1 532 1 483 1 520 4 535 101-102 4 13 7 24 33-34 152 039 1 410 1 393 1 364 4 167 102-103 6 9 10 25 34-35 149 350 1 308 1 370 1 277 3 955 103-104 104-105 5 6 2 4 2 2 9 12 35-36 172 176 1 699 1 826 1 693 5 218 36-37 140 438 1 373 1 398 1 399 4 170 105-100 Ages 100 arid over, 107 2 2 1 5 37-38 133 636 1 332 1 333 1 316 3 981 106-107 1 1 38-39 154 440 1 697 1 578 1 572 4 847 107-108 2 3 5 39-40 40-41 140 282 176 904 1 370 1 374 1 266 4 010 108-109 1 1 903 2 044 1 810 5 757 109-110 1 1 41-42 107 316 130 294 1 167 1 331 1 212 3 710 110-111 1 1 551 1 613 1 700 4 864 111-112 1 2 3 43-44 110 812 1 355 1 389 1 350 4 094 44^5 45-46 108 457 128 930 1 293 1 685 1 346 1 888 1 333 1 750 3 972 5 323 119-120 1 1 46-47 95 225 1 247 1 332 1 247 3 826 47-48 93 032 1 231 1 327 1 331 3 889 48-49 98 615 1 434 1 502 1 454 4 390 49-50 93 165 1 411 1 361 1 264 4 036 A DDITIONAL MORTALITY STATISTK 3S USED IN DETERMIN [NG THE NT FMBER OF BIRTHS. AGE INTERVALS OF ONE YEAR. AGE INTE RVALS OF ON E YEAR. CALENDAR YEAR. CALENDAR YEAR. O-l 1-2 2-3 3-4 4-5 0-1 1-2 2-3 3-4 4-5 1903 32 789 6 750 3 041 2 006 1 314 1905 3 036 1 867 1 352 1904 7 144 3 171 2 030 1 543 1906 2 010 1 427 i Deaths by months under 1 year of age in 1902 are not available. Hence deaths by months in column fi include only those in 1900 and 1901. Table 164 ORIGINAL STATISTICS— TYPE II. POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE 455 LIFE TABLE FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1901. Unknown ages distributed. REPORTED DEATHS. REPORTED DEATHS. Age Estimated Age Estimated Interval. Population July 1, 1900. 1900 1901 1902 • 1900-1902 ' Interval. Population July 1, 1900. 1900 1901 1902 | 1900-1902 1 2 3 1 5 6 7 8 9 10 11 12 All ages. 9 780 414 159 079 152 418 145 163 456 660 Years. 50-51 119 964 1 554 1 614 1 416 4 584 51-52 71 562 1 051 1 218 1 091 3 360 INFANT MORTALITY BY MONTHS. 82-53 81 787 1 435 1 385 1 375 4 195 53-54 72 898 1 294 1 305 1 200 3 799 Months. 54-55 75 526 1 413 1 336 1 312 4 061 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 - 10-11 11-12 9 382 2 700 2 534 2 456 2 205 2 019 1 936 1 645 1 606 1 430 1 259 1 263 8 785 2 301 2 239 2 074 1 901 1 658 1 657 1 379 1 307 1 238 1 107 1 022 18 167 5 001 4 773 4 530 4 106 3 677 3 593 3 024 2 913 2 668 2 366 2 285 85-56 56-57 57-58 58-59 59-60 60-61 61-62 62-63 63-64 64-65 65-66 84 236 70 199 61 933 63 131 59 992 83 892 45 690 63 766 51 666 48 988 56 124 1 554 1 513 1 400 1 555 1 438 1 990 1 360 1 648 1 718 1 759 2 073 1 532 1 582 1 391 1 570 1 372 2 080 1 522 1 733 1 799 1 740 2 154 1 342 1 370 1 434 1 489 1 327 1 918 1 340 1 744 1 540 1 684 2 026 4 428 4 465 4 226 4 614 4 137 5 988 4 222 5 125 5 057 5 183 6 253 66-67 42 449 1 574 1 732 1 638 5 044 AGE INTERVALS OF ONE YEAR. 67-68 40 290 1 847 1 812 1 718 5 377 68-69 38 046 1 946 2 023 1 859 5 828 Years. 69-70 34 396 1 774 1 789 1 713 5 276 0-1 213 468 30 435 26 668 26 697 83 800 1-2 192 557 ' 7 647 6 513 6 512 20 672 70-71 43 413 2 410 2 421 2 269 7 100 2-3 201 669 3 431 2 919 3 049 9 399 71-72 25 508 1 624 1 751 1 622 4 997 3-4 203 978 2 186 1 937 1 867 5 990 72-73 28 784 1 999 1 909 1 991 5 899 4-5 201 539 1 677 1 480 1 368 4 525 73-74 25 137 1 874 1 910 1 716 5 500 74-75 23 267 1 901 1 904 1 730 5 535 5-6 198 795 1 339 1 105 1 154 3 598 6-7 199 494 1 030 993 859 2 882 75-76 25 606 2 125 2 210 2 023 6 358 7-8 195 340 802 798 706 2 303 76-77 19 616 1 867 1 938 1 825 5 630 8-9 192 679 700 612 575 1 887 77-78 16 390 1 615 1 841 1 546 5 002 9-10 185 161 545 503 440 1 488 78-79 15 420 1 788 1 759 1 727 5 274 79-80 13 141 1 649 1 560 1 397 4 606 10-11 189 113 489 456 423 1 368 11-12 176 459 502 447 385 1 334 80-81 14 805 1 873 1 896 1 714 5 483 12-13 178 368 474 419 455 1 348 81-82 9 223 1 437 1 490 1 275 4 202 13-14 172 607 526 427 445 1 398 82-83 8 475 1 373 1 461 1 440 4 274 14-15 176 106 605 522 488 1 615 83-84 7 232 1 257 1 286 1 178 3 721 84-85 6 386 1 236 1 193 1 184 3 583 15-16 175 886 648 604 S19 1 771 16-17 181 757 778 678 671 2 127 88-86 5 350 1 052 1 107 988 3 147 17-18 178 857 862 768 712 2 342 86-87 4 071 903 914 803 2 620 18-19 186 006 924 920 878 2 722 87-88 3 465 794 756 727 2 277 19-20 182 015 1 017 983 982 2 982 88-89 2 656 685 689 575 1 949 89-90 2 040 560 536 499 1 595 20-21 196 126 1 123 1 076 1 019 3 218 21-22 180 110 1 126 1 110 1 089 3 325 90-91 1 903 564 547 484 1 585 22-23 194 349 1 277 1 254 1 181 3.712 91-92 1 026 325 390 306 1 021 23-24 194 228 1 336 1 237 1 177 3 750 92-93 838 275 288 286 849 24-25 198 969 1 433 1 316 1 217 3 966 93-94 606 224 227 199 650 94-95 470 183 166 156 505 25-26 200 854 1 419 1 360 1 187 3 966 26-27 181 819 1 435 1 349 1 268 4 052 95-96 347 145 149 139 433 27-28 177 955 1 376 1 244 1 248 3 868 96-97 239 119 80 97 296 28-29 183 154 1 486 1 375 1 380 4 241 97-98 153 67 77 64 208 29-30 161 817 1 390 1 300 1 206 3 896 98-99 126 54 53 50 157 99-100 93 28 41 24 93 30-31 198 329 1 422 1 464 1 278 4 164 31-32 135 694 1 144 1 151 1 097 3 392 100-101 36 28 21 85 32-33 159 273 1 388 1 361 1 384 4 133 101-102 6 10 8 24 33-34 145 592 1 319 1 243 1 127 3 689 102-103 8 5 10 23 34-35 143 870 1 254 1 242 1 217 3 713 103-104 104-105 12 4 3 10 3 3 18 17 35-36 158 791 1 394 1 358 1 223 3 975 36-37 135 312 1 270 1 270 1 198 3 738 105-106 6 3 3 12 37-38 129 843 1 172 1 100 1 152 3 424 106-107 Ages 100 3 4 1 8 38-39 146 589 1 389 1 406 1 206 4 001 107-108 and over, 1 2 3 3^40 134 025 1 227 1 150 1 136 3 513 108-109 109-110 158 2 2 4 40-41 160 373 1 485 1 514 1 421 4 420 41-42 100 855 997 1 119 1 115 3 231 110-111 1 1 42-43 120 795 1 290 1 273 1 212 3 775 111-112 43-44 106 103 1 118 1 156 1 072 3 346 112-113 1 1 1 3 44-45 45-46 103 653 117 474 1 146 1 368 1 148 1 259 1 016 1 217 3 310 3 844 113-114 114-115 1 1 1 1 46-47 91 759 1 102 1 066 1 031 3 199 47-48 90 072 1 141 1 128 1 050 3 319 48-19 96 931 1 186 1 188 1 177 3 551 49-50 91 367 1 177 1 147 1 084 3 408 1 ADDITIONAL MORTALITY STATISTI CS USED IN DETERMIN ING THE N UMBER OI BIRTHS. AGE INTERVALS OF ONE YEAR. AGE INT ERVALS OF OI IE YEAR. CALENDAR YEAR. CALENDAR YEAR. O-l 1-2 •2-3 3-4 4-5 0-1 1-2 2-3 3-4 4-5 1903 25 813 6 105 2 831 1 799 1 351 1905 2 761 1 741 1 208 1904 6 480 2 829 1 861 1 347 1906 1 845 1 299 ' Deaths by months under 1 year of age in 1902 are not available. Hence deaths by months in column 6 include only those in 1900 and 1901. 456 UNITED STATES LIFE TABLES. TABLE 165 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOE NEGRO MALES IN THE ORIGINAL REGISTRATION STATES: 1901. Unknown ages distributed. REPORTED DEATHS. REPORTED DEATHS. Age Estimated Population July 1, 1900. Age Estimated Population July 1, 1900 Interval. 1900 1901 1902 1 1900-1902 ] Interval. 1900 1901 1902 1900-1902 1 2 3 4 S 6 7 8 9 10 11 12 All ages. 185 530 4 972 5 030 4 986 14 988 Years. 50-51 3 081 71 95 79 39 245 122 51-52 1 125 38 45 INFANT mortality by months. 52-53 1 508 47 53 37 137 53-54 1 190 36 44 25 105 Months. 54-55 1 311 48 43 50 141 0-1 395 412 807 1-2 117 117 234 55-56 1 620 53 49 56 158 2-3 131 107 238 56-57 1 216 59 58 49 166 3-4 105 100 205 57-58 870 43 46 49 138 4-5 103 95 198 58-59 940 28 49 54 131 5-6 110 80 190 59-60 882 31 34 34 99 6-7 115 91 206 60-61 61-62 1 722 85 84 72 241 7-8 83 74 157 458 24 39 23 86 8-9 59 41 100 62-63 592 31 32 33 96 9-10 60 53 113 63-64 591 34 26 18 78 10-11 42 33 75 64-65 65-66 487 19 29 28 76 11-12 40 42 82 930 67 67 59 193 66-67 423 21 20 27 68 A GE INTERVALS OF ONE YEAR. 67-68 68-69 425 381 22 26 32 21 17 30 71 77 Years. 69-70 326 24 26 15 65 0-1 3 591 1 360 1 245 1 316 3 921 1-2 3 037 342 246 296 884 70-71 648 59 51 65 175 2-3 3 290 121 119 118 358 71-72 223 12 18 20 50 3-4 3 230 63 66 53 182 72-73 254 21 29 26 76 4-5 3 212 47 48 44 139 73-74 226 21 17 24 62 74-75 185 18 20 18 56 5-6 3 210 34 36 24 94 6-7 3 170 30 29 27 86 75-76 331 32 32 43 107 7-8 3 085 37 18 31 86 76-77 153 14 20 19 53 8-9 3 096 15 24 20 59 77-78 119 13 15 14 42 9-10 2 972 23 21 22 66 78-79 147 19 16 21 56 79-80 125 11 10 16 37 10-11 3 053 19 26 17 62 11-12 2 823 20 22 22 64 80-81 175 48 38 29 115 12-13 2 966 17 13 18 48 81-82 49 12 7 5 24 13-14 2 889 13 23 16 52 82-83 78 9 10 17 36 14-15 2 979 26 13 24 63 83-84 59 8 10 11 29 84-85 57 15 7 9 31 15-16 3 040 19 24 16 59 16-17 3 158 34 26 41 101 85-86 72 18 17 11 46 17-18 3 149 28 36 28 92 ' 86-87 52 5 7 1 13 18-19 3 607 55 39 44 138 87-88 33 7 5 4 16 19-20 3 878 52 45 46 143 88-89 33 7 5 5 17 89-90 24 7 6 6 19 20-21 4 141 49 55 51 155 21-22 4 382 59 49 46 154 90-91 27 7 5 8 20 22-23 4 679 51 62 60 173 91-92 5 4 1 4 9 23-24 4 854 67 56 62 185 92-93 4 1 3 6 10 24-25 4 920 53 77 73 203 93-94 6 1 4 2 7 94-95 6 3 2 1 6 25-26 5 089 70 70 62 202 26-27 4 279 64 76 54 194 95-96 12 2 4 6 12 27-28 4 288 50 53 48 151 96-97 8 4 3 2 9 28-29 4 544 50 64 73 187 97-98 3 1 1 2 29-30 3 781 53 57 60 170 98-99 6 2 1 3 99-100 3 4 2 6 30-31 5 415 62 70 77 209 31-32 2 723 23 58 27 108 100-101 5 8 1 14 32-33 3 239 49 43 57 149 101-102 1 1 2 33-34 2 785 37 42 40 119 102-103 1 1 34-35 2 970 42 42 50 134 103-104 104-105 1 3 2 4 2 35-36 4 126 57 68 76 201 36-37 2 496 36 48 49 133 105-106 2 2 37-38 2 439 28 56 38 122 106-107 1 1 38-39 3 183 38 58 58 154 107-108 1 1 39-40 40-41 2 847 4 348 41 70 48 86 41 80 130 236 108-109 109-110 Ages 100 and over, 23 41-42 1 703 30 33 29 92 110-111 2 2 4 42-43 2 390 36 37 53 126 111-112 43-44 1 866 41 47 42 130 112-113 44-45 1 761 39 37 37 113 113-114 114-115 45-46 2 898 65 82 71 218 46-47 1 571 32 37 33 102 115-116 1 1 47-48 1 546 29 38 47 114 116-117 1 1 48-49 1 851 53 44 37 134 49-50 1 757 44 46 32 122 128-129 1 1 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NUMBER OF BIRTHS. AGE INTERVALS OF ONE YEAR. AGE INTERVALS OF ON E YEAR. CALENDAR YEAR. CALENDAR O-l 1-2 2-3 3-4 4-5 YEAR. 0-1 1-2 2-3 3-4 4-5 1903 1904 1 277 334 323 122 73 40 1905 137 76 52 134 78 52 1906 63 47 i Deaths by months under 1 year of age in 1902 are not available. Hence deaths by months in col umn 6 include only those in 1900 and 1901 . ORIGINAL STATISTICS— TYPE II. Table 166 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE 457 LIFE TABLE FOE NEGKO FEMALES IN THE OEIGINAL EEGISTEATION STATES: 1901. Unknown ages distributed. REPORTED DEATHS. REPORTED DEATHS. 1 Age Estimated Age Estimated Population July 1, 1900. Interval. Population July 1, 1900. 1900 1901 1902 i 1900-1902 1 Interval. 1900 1901 1902 1900-1902 1 2 3 i 5 6 7 8 10 11 12 All ages. 203 292 4 982 4 804 4 732 14 518 Years. 50-61 3 379 63 68 79 210 51-52 1 033 26 39 28 93 INFANT mortality by months. 52-53 1 510 46 44 41 131 53-54 54-55 1 108 1 171 44 41 47 42 30 31 121 114 Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 302 110 109 100 89 71 75 65 61 42 55 49 327 93 85 103 83 79 71 57 65 52 029 203 194 203 172 150 146 122 126 94 95 85 55-56 56-57 57-58 58-59 59-60 60-61 61-62 62-63 63-64 64-65 65-66 1 545 987 771 841 792 1 808 451 604 533 530 989 51 39 29 33 27 69 22 40 29 37 64 48 35 35 36 32 68 33 29 30 27 53 42 33 35 36 30 67 18 29 22 22 57 141 107 99 105 89 204 73 98 81 86 174 71 40 36 1 66-67 365 20 22 29 A GE INTERVALS OF ONE YEAR. 67-68 429 26 22 30 78 68-69 399 22 27 28 77 Years. 69-70 393 20 21 15 56 0-1 3 654 1 128 1 091 1 066 3 285 1-2 3 244 314 249 274 837 70-71 850 59 58 54 171 2-3 3 511 151 106 131 388 71-72 195 20 17 16 53 3-4 3 345 72 65 64 201 72-73 310 26 16 29 71 4-5 3 321 52 49 49 150 73-74 209 24 24 27 75 74-75 231 18 20 18 56 5-6 3 186 38 30 34 102 6-7 3 337 23 32 31 86 75-76 390 38 40 40 118 7-8 3 356 35 19 23 77 76-77 207 21 22 17 60 8-9 3 301 26 22 25 73 77-78 139 15 13 12 40 9-10 3 165 22 23 23 68 78-79 184 20 25 17 62 79-80 155 11 14 11 36 10-11 3 225 31 18 13 62 11-12 3 154 ,39 22 24 85 80-81 329 46 32 29 107 12-13 3 257 38 29 22 89 81-82 83 15 15 5 35 13-14 3 214 46 25 21 92 82-83 121 16 12 18 46 14-15 3 312 32 27 27 86 83-84 88 16 17 14 47 84-85 84 12 11 12 35 15-16 3 429 44 34 40 118 16-17 3 830 40 49 40 129 85-86 113 18 23 22 63 17-18 3 907 36 49 44 129 86-87 51 8 7 8 23 18-19 4 737 52 45 58 155 87-88 60 10 11 5 26 19-20 4 992 65 54 44 163 88-89 48 9 9 5 23 89-90 41 10 10 12 32 20-21 5 824 62 62 59 183 21-22 5 016 60 70 72 202 90-91 81 16 11 17 44 22-23 5 836 68 58 86 212 91-92 17 6 5 11 23-24 6 018 61 60 65 186 92-93 18 6 5 17 24-25 6 146 62 82 61 205 93-94 17 4 4 2 10 94-95 19 3 10 8 21 25-26 6 035 69 70 69 208 26-27 4 858 51 61 64 176 95-96 25 6 9 7 22 27-28 4 605 48 49 49 146 96-97 5 2 1 2 5 28-29 4 926 54 64 48 166 97-98 8 3 2 3 8 29-30 4 028 47 43 47 137 98-99 17 2 4 2 8 99-100 7 2 2 2 6 30-31 5 467 66 81 64 211 31-32 2 651 30 46 37 113 100-101 5 3 6 14 32-33 3 328 39 37 49 125 101-102 1 1 33-34 2 811 43 28 38 109 102-103 1 3 3 7 34-35 3 013 43 33 52 128 103-104 104-105 1 1 3 1 1 3 4 35-36 4 297 61 58 70 189 36-37 2 584 30 43 32 105 105-106 Ages 100 5 1 6 37-38 2 609 39 24 48 111 106-107 and over, 1 1 38-39 3 335 49 54 52 155 107-108 54 1 2 3 39-40 3 265 45 ' 34 43 122 108-109 109-110 1 1 40-41 4 640 76 83 72 231 41-42 1 685 32 34 40 106 110-111 1 1 42-43 2 396 43 61 27 131 111-112 43-44 1 810 37 36 39 112 112-113 1 3 1 5 44-45 1 860 38 35 34 107 45-46 3 104 72 69 71 212 46-47 1 585 33 37 33 103 47-48 1 521 46 41 37 124 48-49 1 960 44 45 47 136 1 49-50 1 808 31 43 33 107 A DDITIONAL MORTALITY STATIST!! 3S USED IN DETERMIN INO THE NUMBER OF BIRTHS. CALENDAR TEAR. age intervals of one year. CALENDAR YEAR. AGE INTI RVALS OF ONE YEAR. 0-1 1-2 2-3 3^ i-B O-l 1-2 2-3 3^t 4-5 1903 1904 1 087 280 303 141 124 67 69 46 47 1905 1906 139 76 72 52 44 i Deaths by months under 1 year of age in 1902 are not available. Hence deaths, by months in column 6 Include only those in 1900 and 1901. 458 UNITED STATES LIFE TABLES. TABLE 167 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOR NATIVE WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1901. Unknown ages distributed. REPORTED DEATHS. REPORTED DEATHS. Age Interval. Estimated Age Interval. Estimated Population July 1,1900. 1900 1901 1902 ' 1900-1902 ! July 1, 1900. 1900 1901 1902 1900-1902 1 2 3 4 5 6 7 8 9 10 11 12 7 520 670 129 797 124 250 120 134 374 181 Years. 2 728 50-51 69 224 892 658 903 781 933 715 51-52 INFANT i 3RTALITY 52-53 53 918 801 855 897 53-54 54-55 48 178 47 411 796 784 848 2 377 Months. 797 791 2 372 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 12 843 3 394 3 168 2 984 2 662 2 451 2 286 1 963 1 876 1 669 1 482 1 364 11 978 3 059 2 747 2 638 2 270 2 103 1 959 1 656 1 569 1 403 1 217 1 155 24 821 6 453 5 915 5 622 4 932 4 554 4 245 3 619 3 445 3 072 2 699 2 519 55-56 56-57 57-58 58-59 59-60 60-61 61-62 62-63 63-64 64-65 65-66 49 373 44 518 39 760 37 805 37 306 42 233 29 439 33 192 32 663 29 769 29 824 26 127 882 848 822 837 825 973 811 970 1 007 1 075 1 122 1 031 859 889 862 905 949 1 019 941 997 1 008 1 059 1 122 1 061 760 812 919 905 881 931 838 1 043 1 001 990 1 112 1 003 2 501 2 549 2 603 2 647 2 655 2 923 2 590 3 010 3 016 3 124 3 356 3 095 66-67 A JE INTERVALS OF ONE YEAR. 67-68 25 429 1 155 1 119 1 137 3 411 68-69 69-70 22 375 20 630 1 199 1 107 1 246 1 143 1 134 1 160 3 579 3 410 Years. 0-1 217 107 38 143 33 754 33 458 105 354 3 612 1-2 193 875 8 420 7 255 7 146 22 821 70-71 22 247 1 207 1 222 1 183 2-3 201 873 3 657 3 099 3 134 9 890 71-72 16 953 1 055 1 185 1 067 3-4 203 170 2 276 1 993 1 848 6 117 72-73 18 219 1 310 1 179 1 233 3 722 4-5 199 591 1 587 1 541 1 432 4 560 73-74 16 205 1 226 1 251 1 179 74-75 14 412 1 237 1 269 1 259 5-6 194 714 1 249 1 141 1 117 3 507 6-7 196 215 1 013 1 009 970 2 992 75-76 14 404 1 305 1 243 1 129 7-8 191 494 813 760 721 2 294 76-77 12 342 1241 1 196 1 141 3 578 8-9 185 443 675 651 620 1 946 77-78 10 922 1 113 1 120 1 137 3 370 9-10 177 347 561 520 513 1 594 78-79 9 829 1 188 1 164 1 131 3 483 79-80 8 633 1 127 1 114 1 056 3 297 10-11 177 S30 503 532 506 1 541 11-12 164 763 478 466 411 1 355 80-81 8 052 1 105 1 100 1 025 3 230 12-13 163 972 423 404 371 1 198 81-82 6 277 941 1 045 845 2 831 13-14 155 667 473 445 412 1 330 82-83 5 394 939 1 024 967 2 930 14-15 158 672 444 481 407 1 332 83-84 4 460 807 894 826 2 527 84-85 3 834 792 801 722 2 315 15-10 154 104 526 486 441 1 453 16-17 154 989 627 574 549 1 750 85-86 3 042 660 637 602 1 899 17-18 147 096 696 716 592 2 004 86-87 2 220 522 580 518 1 620 18-19 143 382 750 753 723 2 226 87-88 1 949 454 412 476 1 342 19-20 137 412 873 848 758 2 479 88-89 1 447 408 393 342 1 143 89-90 1 065 331 315 290 936 20-21 136 511 849 859 832 2 540 21-22 138 939 942 929 872 2 743 90-91 785 244 257 252 753 22-23 135 076 916 902 856 2 674 91-92 514 195 174 171 540 23-24 135 406 976 932 872 2 780 92-93 349 118 131 122 371 24-25 137 080 1 054 915 860 2 829 93-94 268 89 SO 99 277 94-95 178 79 SO 73 232 25-26 134 099 997 981 873 2 851 26-27 126 014 969 977 919 2 865 95-96 127 41 52 57 150 27-28 124 900 1 012 953 928 2 893 96-97 74 35 34 28 97 28-29 124 884 1 015 1 096 1 023 3 134 97-98 50 23 22 24 69 29-30 112 547 965 912 877 2 754 98-99 31 9 22 15 46 99-100 23 14 6 10 30 30-31 131 986 1 048 1 031 985 3 064 31-32 96 763 823 924 803 2 550 100-101 7 11 10 28 32-33 108 525 1 041 962 1 010 3 013 101-102 1 4 2 7 33-34 100 198 930 933 915 2 778 102-103 2 1 3 6 34-35 95 770 849 883 848 2 580 103-104 104-105 1 3 1 1 4 35-36 102 051 915 988 943 2 846 36-37 37-38 38-39 39-40 87 288 834 868 105-106 Ages 100 ■ and over, 827 765 815 2 407 106-107 97 863 92 857 950 905 107 108 856 867 760 2 483 108-100 1 1 109-110 1 1 40-41 106 342 1 031 1 087 946 3 064 41-42 74 315 758 867 773 2 398 110-111 42-43 86 478 954 958 1 009 2 921 111-112 1 1 43-44 75 201 856 865 858 2 579 44-45 45-46 73 200 80 319 813 869 813 982 774 923 2 400 2 774 119-120 1 1 46-47 64 325 764 816 732 2 312 47-48 62 343 698 814 838 2 350 48-49 62 538 775 897 830 2 502 49-50 59 902 840 801 753 2 394 1 LDDITIONAL MORTALITY STATISTI CS USED IN DETERMIT. INC. THE N UMBER OP BIRTHS. AGE INTERVALS OF ONE YEAR. AGE INT :rvals of oi IE YEAR. CALENDAR YEAR. CALENDAR YEAR. O-l 1-2 2-3 3-4 4-5 0-1 1-2 2-3 3-4 4-5 1903 11)04 32 557 6 553 6 969 2 923 3 063 1 906 1 923 1 237 1457 1905 1906 2 936 1 763 1 850 1 263 1 335 ' Deaths by months under 1 year of age in 1902 are not available. Hence deaths by months in column 6 include only those in 1900 and 1901. ORIGINAL STATISTICS— TYPE II. 459 Table 168 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOR NATIVE WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1901. Unknown ages distributed. Age Interval. Estimated Population July 1, 1900. REPORTED DEATHS. Age Interval. Estimated Population July 1, 1900. REPORTED DEATHS. 1900 1901 1902 » 1900-1902 ' 1900 1901 1902 1900-1902 1 2 3 1 5 6 7 8 9 10 11 12 All ages. 7 587 114 118 340 111 495 107 132 336 967 Years. 50-51 51-52 68 559 48 384 751 576 805 668 744 661 2 300 1 905 INFANT MORTALITY BY MONTHS. 52-53 52 374 767 747 749 2 263 Months. 53-54 54-55 47 466 48 434 697 782 734 726 666 681 2 097 2 189 1-2 9 374 2 693 S 766 2 294 18 140 4 987 4 750 4 509 4 086 3 645 3 553 2 996 2 878 2 633 5.5-56 56-57 57-58 58-59 59-60 60-61 61-62 62-63 63-64 64-65 65-66 66-67 67-68 68-69 50 328 45 367 41 014 40 002 39 086 44 807 30 978 34 612 33 928 31 645 31 670 27 852 26 173 24 273 768 812 767 824 790 836 719 901 920 991 938 932 1 030 1 011 755 837 761 808 765 890 826 928 939 954 996 961 985 1 104 689 726 798 767 736 830 733 920 823 923 1 014 944 918 1 041 2 212 2 37.5 2 326 2 399 2 291 2 556 2 278 2 749 2 682 2 868 2 948 2 837 2 933 3 156 2-3 2 524 2 226 3-4 2 448 2 061 4-5 2 198 5-6 2 001 1 644 6-7 1 917 1 636 7-8 1 630 1 366 8-9 1 585 1 293 9-10 1 410 1 223 10-11 1 238 1 095 11-12 1 248 1 009 2 257 AGE INTERVALS OF ONE YEAR. Years. 69-70 22 504 1 032 1 033 994 3 059 0-1 212 258 30 266 26 501 26 506 83 273 1-2 190 291 7 464 6 382 6 362 20 208 70-71 23 996 1 127 1 116 1 100 3 343 2-3 198 563 3 338 2 837 2 933 9 108 71-72 17 628 956 1 044 993 2 993 3-4 199 907 2 114 1 884 1 776 5 774 72-73 19 305 1 153 1 104 1 158 3 415 4-5 196 747 1 617 1 438 1 303 4 358 73-74 74-75 16 967 15 753 1 121 1 160 1 108 1 147 981 1 074 3 210 3 381 5-6 193 014 1 275 1 063 1 111 3 449 6-7 193 202 988 955 810 2 753 75-76 16 051 1 181 1 253 1 149 3 583 7-8 187 674 760 759 671 2 190 76-77 13 571 1 165 1 229 1 158 3 552 8-9 183 281 674 576 540 1 790 77-78 11 729 1 082 1 206 998 3 286 9-10 173 752 506 469 412 1 337 78-79 79-80 10 728 9 433 1 123 1 153 1 140 1 060 1 094 1 004 3 357 3 217 10-11 175 921 448 426 393 1 267 11-12 162 960 460 404 353 1 217 80-81 9 584 1 138 1 129 1 023 3 290 12-13 162 562 442 374 430 1 246 81-82 6 958 1 041 1 036 928 3 005 13-14 155 669 479 382 397 1 2r,S 82-83 6 410 972 1 025 1 018 3 015 14-15 156 163 540 456 432 1 428 83-84 84-85 5 547 4 782 929 899 950 826 835 841 2 714 2 566 15-16 153 974 577 534 452 1 563 16-17 155 644 671 580 589 1 840 85-86 3 798 737 765 666 2 16S 17-18 149 292 733 666 603 2 002 86-87 3 067 663 652 584 1 899 18-19 148 877 778 748 740 2 266 87-88 2 678 596 556 537 1 689 19-20 142 594 818 814 800 2 432 88-89 89-90 2 050 1 590 504 431 511 411 426 379 1 441 1 221 20-21 147 492 857 848 813 2 518 21-22 136 924 868 886 863 2 617 90-91 1 309 375 364 319 1 058 22-23 143 236 965 936 884 2 785 91-92 842 263 304 259 826 23-24 143 204 1 043 961 866 2 870 92-93 649 214 215 196 625 24-25. 145 046 1 106 983 907 2 996 93-94 94-95 469 359 168 150 176 125 155 120 499 395 25-26 143 684 1 051 1 025 870 2 946 26-27 131 083 1 057 1 021 928 3 006 9.5-96 214 92 110 101 303 27-28 127 413 1 034 862 909 2 805 96-97 162 87 53 67 207 28-29 126 290 1 036 950 970 2 956 97-98 104 45 54 39 138 29-30 113 333 958 921 883 2 762 98-99 99-100 72 53 35 21 29 28 35 17 99 66 30-31 133 036 955 1 022 838 2 815 31-32 98 292 814 818 812 2 444 100-101 \ 17 18 13 48 32-33 109 445 931 917 913 2 761 101-102 3 4 6 33-34 100 273 881 851 793 2 525 102-103 6 3 3 34-35 96 898 826 828 811 2 465 103-104 104-105 3 1 2 7 1 2 6 10 35-36 101 863 841 830 797 2 468 36-37 88 957 768 77S 744 2 290 105-106 Ayes 100 4 3 7 37-3S 38-39 39-40 40-41 87 638 98 521 93 161 103 707 758 866 802 907 680 865 746 923 723 694 717 836 2 161 2 425 2 265 2 666 106-107 107-108 108-109 109-110 and over, 68 1 3 3 •0 1 • 4L42 42-43 43^4 44-45 73 031 84 585 75 992 72 050 675 818 743 736 723 810 775 768 721 776 700 620 2 119 2 404 2 218 2 124 110-111 111-112 112-113 1 1 4.5-46 76 284 787 753 747 2 287 46-47 63 709 692 676 687 2 055 47-48 61 929 710 706 667 2 0F3 48-49 62 750 !| 733 696 701 2 130 49-50 59 561 | 713 704 690 2 107 ADDITIONAL MORTALITY STATISTIC IS USED IN DETERMIN [NG THE NT 7MBER OF BIRTHS. AGE INTERVALS OF ONE YEAR. AGE INTE RVALS OF ON E YEAR. CALENDAR YEAK. CALENDAR YEAR. 0-1 1-2 2-3 3-4 4-5 0-1 1-2 2-3 3-4 4-5 1903 2"> 611 5 927 2 713 1 692 1 272 1905 2 660 1 G29 1 144 1904 6 339 2 729 1 766 1 265 1906 1 719 1 197 i Deaths by months under 1 year of age in 1902 are not available. Hence deaths by months in column 6 include only those in 1900 and 1901, 460 UNITED STATES LIFE TABLES. Table 169 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOE FOREIGN-BORN WHITE MALES IN THE ORIGINAL REGISTRATION STATES : 1901. Unknown ages distributed. Age Interval. Estimated REPORTED DEATHS. Age Interval. Estimated REPORTED DEATHS. Population July 1, 1900. Population 1900 1901 1902 1 1900-1902 1 July 1, 1900. 1900 1901 1902 1900-1902 1 2 3 i 5 6 7 8 9 10 11 12 All ages. 2 277 573 43 934 45 280 43 253 132 467 Years. 50-51 51-52 52-53 53-54 54 012 26 106 32 703 27 537 1 021 565 761 730 1 040 618 803 699 916 576 772 692 2 977 1 759 2 336 2 121 INEANT MORTALITY BY MONTHS. Months. 0-1 1-2 18 11 18 12 36 23 54-55 55-56 29 103 35 066 751 968 722 939 705 876 2 178 2 783 3-4 4-5 56-57 26 670 851 837 814 2 502 57-58 22 088 765 749 740 2 254 58-59 23 617 826 844 812 2 482 59-60 21 121 657 737 726 2 120 6-7 7-8 26 17 43 60-61 36 138 1 186 1 233 1 152 3 571 61-62 15 478 674 781 697 2 152 62-63 19 020 797 861 915 2 573 63-64 17 919 834 849 835 2 518 11-12 15 13 28 64-65 65-66 16 752 22 144 847 1 111 821 1 157 816 1 173 2 484 3 441 66-67 14 288 784 851 733 2 368 67-68 68-69 13 979 13 048 830 844 826 890 794 867 2 450 2 601 Years. 0-1 1 176 240 191 271 702 69-70 11 579 811 812 751 2 374 1-2 2-3 3-4 4-5 2 338 3 154 4 005 4 934 188 97 104 57 178 109 84 49 173 110 89 68 539 316 277 174 70-71 71-72 72-73 73-74 17 318 8 444 9 765 8 413 1 178 669 743 748 1 063 728 811 748 984 618 940 744 3 225 2 015 2 494 2 240 5-6 5 812 54 47 62 163 74-75 7 681 758 710 724 2 192 6-7 7-8 8-9 9-10 6 334 7 572 9 364 11 073 64 47 43 42 52 43 40 36 34 42 40 33 150 132 123 111 75-76 76-77 77-78 78-79 8 833 6 168 4 865 4 703 861 737 602 660 920 732 589 647 784 730 618 653 - 2 565 2 199 1 809 1 960 10-11 13 327 35 27 34 96 79-80 3 721 462 529 484 1 475 11-12 12-13 13-14 14-15 13 323 15 897 16 764 19 815 29 56 41 75 43 40 51 63 41 38 41 50 113 134 133 188 80-81 81-82 82-83 83-84 4 484 2 450 2 070 1 531 668 394 414 337 613 438 487 386 619 377 458 365 1 900 1 209 1 359 1 088 15-16 21 207 59 74 60 193 84-85 1 508 333 335 296 964 16-17 17-18 18-19 19-20 23 184 25 171 30 192 31 330 94 123 171 186 88 123 159 172 84 143 178 195 266 389 508 553 85-86 86-87 87-88 88-89 1 323 806 703 581 275 242 204 138 322 235 192 145 260 213 179 135 857 690 575 418 20-21 38 130 211 212 210 633 89-90 403 111 133 106 350 21-22 22-23 38 155 43 325 249 323 275 306 217 298 741 927 90-91 389 177 123 52 113 117 353 172 23-24 44 151 264 336 303 903 135 55 ' 71 62 188 24-25 48 636 351 346 296 993 93-94 94 45 36 40 121 25-26 54 695 345 445 370 1 160 94-95 68 23 28 28 79 26-27 50 183 364 348 346 1 058 80 32 27-28 52 262 378 425 335 1 138 42 24 13 58 28-29 60 431 455 506 422 1 383 7 29-30 51 559 385 388 341 1 114 98-99 30 14 11 10 35 30-31 78 299 588 574 572 1 734 99-100 24 11 18 9 38 31-32 42 025 326 , 400 334 1 060 100-101 101-102 102-103 103-104 25 17 19 8 32-33 56 147 491 521 510 1 522 5 7 2 33-34 51 841 480 460 449 1 389 8 2 34-35 53 580 459 487 429 1 375 4 35-36 70 125 784 838 750 2 372 104-105 3 3 2 8 36-37 53 150 535 564 531 1 630 105-106 106-107 107-108 108-109 109-110 Ages 100 2 1 3 1 1 5 1 5 1 37-38 47 839 505 568 501 1 574 ) and over, 38-39 56 577 640 628 667 1 935 70 39-40 40-41 47 425 70 562 514 872 507 957 506 864 1 527 2 693 41-42 33 001 409 464 439 1 312 110-111 1 42-43 43 816 597 655 691 1 943 111 112 43-44 35 611 499 524 492 1 515 44^5 35 257 480 533 559 1 572 45-46 48 611 816 906 827 2 549 46-47 30 900 483 516 515 1 514 47-48 30 689 533 613 493 1 539 48-49 36 077 659 605 624 1 888 49-50 33 263 571 560 511 1 642 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NUMBER OF BIRTHS. AGE INTERVALS OE ONE YEAR. AGE INT mvALs of m fE YEAR. CALENDAR YEAR. calendar YEAR. O-l 1-2 2-3 3-4= -1-5 O-l 1-2 2-3 3-4 4-5 1903 1904 232 197 175 118 108 100 107 77 86 1905 1906 100 104 160 89 92 J Deaths by months under 1 year of age in 1902 are not available. Hence deaths by months in column 6 include only those in 1900 and 1901. Table 170 ORIGINAL STATISTICS— TYPE II. POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE 461 LIFE TABLE FOR FOREIGN-BORN WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1901. Unknown ages distributed. Age Interval. Estimated REPORTED DEATHS. Age Interval. REPORTED DEATHS Population July 1, 1900. Population July 1, 1900. 1900 1901 1902" 1900-1902 ' 1900 1901 1902 1900-1902 1 2 3 4 5 6 T 8 9 10 11 12 All ages. 2 193 300 40 739 40 923 38 031 119 693 Years. 50-51 51-52 51 405 23 178 803 475 809 550 672 430 2 2St 1 455 INFANT mortality by months. 52-53 53-54 29 413 25 432 668 597 638 571 626 534 1 932 1 702 0-1 1-2 2-3 3-4 4-5 5-6 8 7 10 8 7 18 19 7 13 13 13 14 27 14 23 21 20 32 54-55 55-56 56-57 57-58 58-59 59-60 27 092 33 908 24 832 20 919 23 129 20 906 631 786 701 633 731 648 610 777 745 630 762 607 631 653 644 636 722 591 1 872 2 216 2 090 1 899 2 215 1 846 6-7 7-8 8-9 9-10 10-11 11-12 19 15 21 20 21 15 21 13 14 15 12 13 40 28 35 35 33 28 60-61 61-62 62-63 63-64 64-65 65-66 66-67 39 085 14 712 19 154 17 738 17 343 24 454 14 597 1154 641 747 798 768 1 135 742 1 190 696 805 860 786 1 158 771 1 088 607 824 717 761 1 012 694 3 432 1 944 2 376 2 375 2 315 3 305 2 207 A GE INTERVALS OF ONE YEAR. 67-68 68-69 14 117 13 773 817 935 827 919 800 818 2 444 2 672 0-1 1 210 169 167 191 527 69-70 11 892 742 756 719 2 217 1-2 2-3 2 266 3 106 183 93 131 150 116 464 291 216 167 70-71 19 417 1 283 1 305 1 169 3 757 3-4 4 071 72 53 71-72 7 880 668 707 629 2 004 4-5 4 792 60 65 72-73 9 479 846 805 833 2 484 73-74 8 170 753 802 735 2 290 5-6 5 781 64 42 43 149 74-75 7 514 741 757 656 2 154 6-7 7-8 8-9 6 292 7 666 9 398 42 42 38 36 36 34 49 35 35 28 129 113 97 101 75-76 76-77 9 555 6 045 944 702 957 709 874 667 2 775 2 078 9-10 11 409 39 77-78 78-79 4 661 4 692 533 665 635 619 548 633 1 716 1 917 10-11 13 192 41 30 30 101 79-80 3 708 496 500 393 1 389 11-12 12-13 13 499 15 806 42 32 43 45 32 25 117 80-81 5 221 735 767 691 2 193 13-14 14-15 16 938 19 943 47 65 45 66 48 56 140 187 82-83 83-84 2 265 2 065 1 685 396 401 328 454 436 336 347 422 343 1 197 1 259 1 007 15-16 21 912 71 70 67 208 84-85 1 604 337 367 313 1 017 16-17 17-18 18-19 19-20 26 113 29 565 37 129 39 421 107 129 146 199 98 102 172 169 82 109 138 182 287 340 456 550 85-86 86-87 87-88 88-89 1 552 1 004 787 606 315 240 198 181 342 262 200 178 322 219 190 149 979 721 588 508 20-21 48 634 266 228 206 700 89-90 450 129 125 120 374 21-22 22-23 43 186 51 113 258 312 224 318 226 297 708 927 90-91 91-92 92-93 93-94 594 179 183 165 527 23-24 51 024 293 276 311 880 62 86 47 195 24-25 . 53 923 327 333 310 970 137 61 56 73 51 90 44 224 151 25-26 57 170 368 335 317 1 020 94-95 111 33 41 36 110 26-27 50 736 378 328 340 1 046 95-96 96-97 97-98 98-99 133 27-28 50 542 342 382 339 1 063 53 39 38 130 28-29 56 864 450 425 410 1 285 49 54 32 27 30 89 29-30 48 484 432 379 323 1 134 22 19 23 24 25 15 70 58 30-31 65 293 467 442 440 1 349 99-100 40 7 13 7 27 31-32 32-33 37 402 49 828 330 457 333 444 285 471 948 1 372 100-101 101-102 102-103 103-104 19 3 2 9 10 6 2 1 8 2 7 2 37 11 11 12 33-34 45 319 438 392 334 1 164 34-35 46 972 428 414 406 1 248 35-36 56 928 553 528 426 1 507 104-105 3 3 1 7 36-37 46 355 502 492 454 1 448 105-106 106-107 107-108 108-109 2 3 1 1 3 1 2 1 2 37-38 - 38-39 39-40 42 205 48 068 40 864 414 523 425 420 541 404 429 512 419 1 263 1 576 1 248 Ages 100 and over. 90 5 3 3 40-41 56 666 578 591 585 1 754 109-110 > 41-42 27 824 322 396 394 1 112 110-111 111-112 1 1 42-43 36 210 30 111 31 603 41 190 472 375 410 581 463 381 380 506 436 372 396 470 1 371 1 128 1 186 1 557 112-113 1 1 2 45-48 113-114 114-115 1 1 1 1 46-47 28 050 410 390 344 1 144 47-48 28 143 431 422 383 1 236 48-49 34 181 453 492 476 1 421 49-50 31 806 464 443 394 1 301 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NUMBER OF BIRTHS. AGE INTERVALS OF ONE YEAR. AGE INTE RVALS OF ON E YEAR CALENDAR YEAR. CALENDAR YEAR. 0-1 1-2 2-3 3-1 4-5 O-l 1-2 2-3 3-4 4-5 1903 1904 202 118 107 79 1905 64 102 141 100 95 82 1906 126 i Deaths by months under 1 year of age in 1902 are not available. Hence deaths by months in column 6 include only those in 1900 and 1901. 462 UNITED STATES LIFE TABLES. Table 171 POPULATION AND MORTALITY STATISTICS UPON WHICH ARE BASED THE LIFE TABLES FOR CITIES OF THE ORIGINAL REGISTRATION STATES: 1901. Unknown ages distributed. Age Interval. WHITE MALES. WHITE FEMALES. Estimated population July 1, 1900. REPORTED DEATHS. Estimated population July 1, 1900. REPORTED DEATHS. 1900 1901 1902 1 1900-1902 i 1900 1901 1902 1 1900-1902 i 1 2 3 4 5 6 7 8 9 10 11 All ages. 5 103 726 101 480 100 967 99 631 302 078 5 293 168 92 443 90 330 88 025 270 70S INFANT MORTALITY BY MONTHS. INFANT MORTALITY BY MONTHS. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 7 931 2 185 2 132 1 969 1 769 1 668 1 598 1 344 1 301 1 168 1 046 937 7 412 1 985 1 793 15 343 4 170 3 925 3 758 3 335 3 162 2 996 2 538 2 455 2 189 1 929 1 778 5 724 1 702 1 656 1 611 1 423 1 341 1 304 1 162 1 095 995 878 877 5 470 1 512 1 520 1 431 1 316 1 143 1 158 981 931 860 809 755 11 194 3 214 3 176 3 042 2 739 2 4S4 2 462 2 143 2 026 1 855 1 687 1 632 1 789 ■* 1 566 1 494 1 398 1 194 1 154 1 021 883 841 AGE INTERVALS OF ONE YEAR. AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 0-4 5-9 10-14 15-19 20-24 25-29 30-34 35-39 40-44 45-49 50-54 55-59 60-64 65-69 70-74 75-79 80-84 85-89 90-94 95-99 100 and over 120 517 106 187 111 860 112 489 109 783 560 836 517 695 452 208 437 507 489 464 515 057 470 338 419 368 337 554 254 927 211 516 151 696 116 502 75 762 49 322 27 035 12 045 3 873 824 175 22 25 048 5 816 2 574 1 605 1 083 36 126 2 807 1 373 2 228 3 696 4 586 4 856 5 196 4 918 4 552 4 987 4 950 5 015 4 781 4 362 3 415 2 216 1 046 292 66 12 22 530 5 139 2 241 1 458 1 095 32 463 2 798 1 393 2 262 3 732 4 808 5 128 5 366 5 398 4 939 5 196 5 220 5 426 5 033 4 381 3 580 2 391 1 059 310 66 18 22 871 5 298 2 357 1 389 -1 078 32 993 2 820 1 317 2 161 3 597 4 389 4 958 5 279 5 269 4 727 5 139 5 128 5 332 4 997 4 421 3 488 2 185 1 025 344 54 8 70 449 16 253 7 172 4 452 3 256 101 582 8 425 4 083 6 651 11 025 13 783 14 942 15 841 15 585 14 218 15 322 15 298 15 773 14 811 13 164 10 483 6 792 3 130 946 186 38 118 676 104 197 110 919 111 281 108 975 554 048 516 646 459 436 485 729 569 537 546 262 457 923 404 737 320 455 255 607 214 774 160 393 132 233 91 338 61 796 35 861 17 645 6 500 1 829 372 47 19 768 5 187 2 300 1 485 1 113 29 853 2 705 1 333 2 192 3 696 4 430 4 127 4 193 3 808 3 725 4 161 4 320 4 823 4 888 4 820 4 022 2 995 1 561 602 160 29 17 886 4 575 1 986 1 320 1 016 26 783 2 611 1 280 2 212 3 626 4 211 4 197 4 138 3 985 3 703 4 379 4 443 5 158 5 047 4 948 4 143 3 055 1 605 627 153 26 18 279 4 711 2 165 1 321 978 27 454 2 502 1 287 2 139 3 468 4 220 4 090 3 970 3 850 3 561 4 076 4 214 4 811 4 846 4 665 3 843 2 878 1 427 547 155 22 55 933 14 473 6 451 4 126 3 107 84 090 7 818 3 900 6 543 10 790 12 861 12 414 12 301 11 643 10 989 12 616 12 977 14 792 14 781 14 433 12 008 8 928 4 593 1 776 468 77 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NUMBER OF BIRTHS. CALENDAR YEAR. AGE INTERVALS OF ONE YEAR. AGE INTERVALS OF ONE YEAR. O-l 1-2 2-3 3-4: 4-5 | O-l 1-2 2-3 3-4 4-5 1903 1904 1905 1906 22 150 4 878 5 145 2 142 2 261 2 131 1 417 1 436 1 272 1 479 17 530 4 419 4 699 2 023 2 011 1 934 1 278 1 332 1 216 1 340 1 093 952 1 004 968 838 951 i Deaths by months under 1 year olagein 1902 are not available. Hence deaths by months in columns 6 and 11 include only those in 1900 and 1901. ORIGINAL STATISTICS— TYPE III. TABLE 172 POPULATION AND MORTALITY STATISTICS UPON WHICH ARE BASED THE LIFE TABLES FOR RURAL PART OF THE ORIGINAL REGISTRATION STATES: 1901. Unknown ages distributed. 463 Age Interval. WHITE MALES. WHITE FEMALES. Estimated population July 1, 1900. REPORTED DEATHS. Estimated population July 1, 1900. REPORTED DEATHS. 1900 1901 1902' 1900-1902 ' 1900 1901 1902 » 1900-1902 ' 1 2 3 4 5 6 7 8 9 10 11 All ages. 4 694 517 72 251 68 563 63 756 204 570 4 487 246 66 636 62 088 57 138 185 862 INFANT MORTALITY BY MONTHS. *" INFANT MORTALITY BY MONTHS. Months. 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 4 930 1 220 1 051 1 033 913 802 714 647 598 526 458 442 4 584 1 086 963 861 724 630 578 478 433 397 354 327 9 514 2 306 2 014 1 894 1 637 1 432 1 292 1 125 1 031 923 812 769 3 658 998 878 845 782 678 632 483 511 435 381 386 3 315 789 719 643 585 515 499 398 376 378 298 267 6 973 1 787 1 597 1 488 1 367 1 193 1 131 881 887 813 679 653 AGE INTERVALS OF ONE YEAR. AGE INTERVALS OF ONE YEAR. Years. 0-1 1-2 2-3 3-4 4-5 0-4 5-9 10-14 15-19 20-24 25-29 30-34 35-39 ' 40-44 45-49 50-54 55-59 60-64 65-69 70-74 75-79 80-84 85-89 90-94 95-99 100 and over 97 766 90 026 93 167 94 686 94 742 470 387 467 673 447 822 430 560 405 945 376 517 344 796 321 604 296 229 254 040 225 597 185 628 156 101 123 661 90 335 57 385 28 015 9 666 2 133 338 85 13 334 2 792 1 180 775 561 18 642 1 754 1 184 1 877 2 439 2 299 2 179 2 275 2 351 2 456 2 722 3 331 4 159 5 213 5 769 5 881 4 514 2 299 731 144 32 11 415 2 294 967 619 495 15 790 1 501 1 159 1 731 2 280 2 223 2 047 2 143 2 325 2 471 2 805 3 350 4 143 5 194 5 785 5 674 4 732 2 305 728 138 39 10 858 2 021 887 548 422 14 736 1 332 994 1 562 2 019 2 045 1,897 1 967 2 136 2 319 2 706 3 117 3 886 4 867 5 510 5 375 4 315 2 096 681 163 33 35 607 7 107 3 034 1 942 1 478 49 168 4 587 3 337 5 170 6 738 6 567 6 123 6 385 6 812 7 246 8 233 9 798 12 188 .15 274 17 064 16 930 13 561 6 700 2 140 445 104 94 792 88 360 90 750 92 697 92 564 459 163 454 823 433 217 418 792 394 245 359 337 324 835 299 823 271 324 231 996 206 963 179 098 151 769 119 967 84 313 54 312 28 476 11 082 3 014 586 111 10 667 2 460 1 131 701 664 15 523 1 711 1 263 2 037 2 599 2 676 2 400 2 259 2 228 2 249 2 586 3 140 3 652 4 426 4 988 5 022 4 181 2 433 959 253 51 8 782 1 938 933 617 464 12 734 1 397 991 1 741 2 367 2 417 2 264 2 146 2 225 2 085 2 479 3 004 3 716 4 463 4 947 5 165 4 271 2 397 991 247 41 8 418 1 801 884 546 390 12 039 1 232 909 1 623 2 215 2 069 2 013 1 945 1 986 1 998 2 318 2 748 3 415 4 108 4 663 4 675 3 883 2 165 884 219 31 27 867 6 199 2 948 1 864 1 418 40 296 4 340 3 163 5 401 7 181 7 162 6 677 6 350 6 439 6 332 7 383 8 892 10 783 12 997 14 598 14 862 12 335 6 995 2 834 719 123 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NUMBER OF BIRTHS. CALENDAR YEAR. AGE INTERVALS OF ONE YEAR. AGE INTERVALS OF ONE YEAR. 0-1 1-2 2-3 3-4 4-5 0-1 1-2 2-3 3-4 4-5 1903 1904 1905 1906 10 639 1 872 1 999 899 910 905 589 594 595 531 8 283 1 686 1 781 808 818 827 521 529 525 505 450 400 423 379 370 348 1 Deaths by months under 1 year of age in 1902 are not available. Hence deaths by months in columns 6 and 11 include only thosein 1900 and 1901. 464 UNITED STATES LIFE TABLES. Table 173 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOR WHITE MALES IN THE ORIGINAL REGISTRATION STATES: 1901 TO 1910. Unknown ages undistributed in enumerated population, but distributed in mean population and in deaths. Age Interval. POPULATION. Reported POPULATION. Reported Enumerated June 1, 1900. Enumerated April 15, 1910. Mean, 1901-1910. Deaths, 1901-1910. Age Interval. Enumerated June 1, 1900. Enumerated April 15, 1910. Mean, 1901-1910. Deaths, 1901-1910. 1 2 3 4 5 6 ! 7 8 9 10 All ages. 9 780 453 11 888 489 10 939 400 1 786 656 Years. 59-60 : 60-61 61-62 58 170 78 035 70 036 92 285 i f 18 098 24 446 Years 44 724 53 998 I 315 748 17 522 0-1 217 432 253 162 ( 359 834 62-63 51 988 65 368 21 356 1-2 195 463 225 159 I 903 195 73 215 63-64 50 365 59 535 21 400 2-3 204 155 246 129 31 852 19 752 64-65 65-66 46 321 56 464 i 21 230 3-4 206 359 240 888 51 727 67 706 25 918 66-67 40 227 47 343 \ 240 647 20 591 4-5 203 773 231 671 f 14 184 67-68 68-69 39 225 45 457 21 630 5-6 199 843 224 802 11 149 35 259 45 669 i 23 280 6-7 201 859 222 724 I 1 062 146 9 370 21 191 7-8 , 198 388 219 606 | 7 691 69-70 32 060 41 454 J 8-9 194 144 212 088 I 6 623 70-71 39 396 47 955 25 163 71-72 25 288 28 880 \ 167 498 19 713 9-10 187 778 207 576 f 5 745 72-73 27 864 34 098 22 958 10-11 190 414 211 339 5 381 73-74 24 513 29 571 J 22 353 11-12 177 393 198 585 I 982 282 5 113 74-75 75-76 76-77 21 999 26 774 i 21 702 12-13 179 169 216 486 4 844 23 145 27 340 22 861 13-14 171 760 206 862 I 4 850 18 436 22 442 \ 103 251 21 352 77-78 15 724 17 715 19 043 14-15 177 793 211 249 | 5 387 78-79 14 474 16 372 j 19 491 15-16 174 510 197 501 5 624 16-17 177 358 216 506 \ 981 672 \ 6 860 79-80 12 305 13 977 13 250 17 403 17-18 171 479 214 439 8 206 80-81 12 486 14 170 13 438 17 899 18-19 172 780 226 762 { 9 522 81-82 8 693 9 155 8 965 14 338 82-83 7 435 9 098 8 365 14 770 19-20 167 971 220 973 f 10 559 83-84 5 967 7 409 6 773 13 081 20-21 173 794 223 354 10 846 84-85 5 321 6 554 6 010 12 267 21-22 176 235 227 400 | 1 017 194 i 11 724 85-86 86-87 4 343 5 248 4 850 10 404 22-23 177 536 231 563 12 470 3 011 4 156 3 648 8 887 23-24 178 686 227 433 [ 12 277 87-88 2 639 3 334 3 027 7 326 88-89 2 018 2 441 2 255 5 930 24-25 184 816 231 222 f 12 368 25-26 187 956 234 378 13 016 89-90 1 461 1 980 1 750 4 757 26-27 175 414 223 017 [ 1 033 677 { 13 062 90-91 1 167 1 692 1 459 4 023 27-28 176 375 210 611 13 238 91-92 687 921 817 2 628 28-29 184 492 232 877 I 14 669 92-93 481 678 590 2 100 93-94 360 515 446 1 631 29-30 163 377 191 781 f 12 549 30-31 209 408 252 182 15 906 94-95 245 347 302 1 170 31-32 138 209 159 527 [ 913 358 1. 12 053 95-96 206 289 252 882 32-33 163 986 199 661 \ 15 227 96-97 116 141 130 608 33-34 151 405 178 207 { 14 327 97-98 82 103 93 430 34-35 148 727 182 914 f 14 513 98-99 61 70 66 328 35-36 171 403 217 001 18 676 99-100 47 46 47 206 36-37 139 808 176 686 [ 851 640 \ 15 082 100-101 43 49 147 37-38 133 036 161 917 14 722 101-102 8 9 69 38-39 153 747 196 054 I 17 440 102-103 9 10 7 61 29 39-40 139 652 160 878 f 14 571 103-104 6 40-41 176 092 223 356 20 940 104-105 2 2 33 41-42 106 824 124 221 I 749 414 \ 13 283 105-106 7 8 26 42-43 129 696 171 530 17 508 106-107 3 4 6 43-44 110 304 137 915 { 15 117 107-108 12 44-45 107 959 131 017 f 14 755 108-109 1 1 9 45-46 128 265 167 217 i 20 197 109-110 Ages 100 1 1 6 46-47 94 734 119 720 [ 606 330 { 14 995 110-111 } and over, 1 1 6 47-48 92 552 118 322 15 605 111-112 107 1 1 4 48-49 98 106 137 310 [ 17 218 112-113 1 49-50 92 685 123 463 f 15 532 113-114 1 50-51 51-52 52-53 53-54 54-55 122 595 74 637 86 171 75 322 76 116 163 169 93 677 120 179 21 622 114-115 2 I 533 381 \ 14 560 115-116 3 18 107 116-117 1 98 162 98 309 ! 17 002 117-118 f 17 742 118-119 " , 55-56 56-57 57-58 84 067 70 875 61 576 99 123 19 589 119-120 1 2 88 373 74 299 I 401 341 I 18 502 17 813 131-132 1 1 58-59 61 151 78 772 [ 19 288 Unknown ages 24 665 18 317 1 INFANT MORTALITY BY MONTHS DURING FIRST YEAR OF LIFE IN CALENDAR ^ fEARS 1901 AND 1905 TO 1910." Months 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Deaths 96 340 24 949 j 21 118 19 054 16 751 14 961 13 839 12 079 11 321 10 397 8 935 8 598 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NU MBER OF BIRTHS. AGE INTERVALS OF ONE YEAR. calendar year. AGE INTERVALS OF ONE YEAR. CALENDAR YEAR. 0-1 1-2 2-3 3-4 4-5 0-1 1-2 2-3 3-4 4-5 1901 33 945 1908 37 210 7 142 3 172 1 909 1 327 1902 33 729 7 319 1909 36 690 7 530 3 206 1 885 1 359 1903 1904 32 789 34 972 r, 750 7 144 3 041 3 171 1910 1911 38 898 35 543 7 727 679 3 404 2 860 2 055 1 780 1398 1 280 2 030 1905 36 184 7 134 3 036 1 867 1 352 1912 6 608 2 767 1 645 1 180 1906 38 130 7 854 7 184 3 290 2 010 1 427 1913 3 067 1 882 1 404 1907 37 285 3 082 1 97 6 1 374 i Infant mortality by months during the first year of life is not available in calendar years 1902 to 1904. Table 174 ORIGINAL STATISTICS— TYPE IV. POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE 465 LIFE TABLE FOR WHITE FEMALES IN THE ORIGINAL REGISTRATION STATES: 1901 TO 1910. Unknown ages undistributed in enumerated population, but distributed in mean population and in deaths. POPULATION. POPULATION. Age Interval. Reported Deaths, Age Interval. Reported Deaths, 1901-1910. Enumerated Enumerated Mean, Enumerated Enumerated Mean, June 1, 1900. April 15, 1910. 1901-1910. 1901-1910. June 1, 1900. April 15, 1910. 1901-1910. l 2 3 4 5 6 7 8 9 10 All ages. 9 764 368 11 666 100 10 812 512 1 578 069 Years. 59-60 60-61 59 827 83 656 68 190 100 143 | | 15 312 21 540 Years. 61-62 ' 45 561 52 220 322 470 \ 15 327 0-1 212 913 246 894 | 283 617 62-63 53 615 64 552 18 761 1-2 192 081 220 149 884 552 J 64 936 63-64 51 521 59 810 18 943 2-3 3-4 201 087 203 444 240 446 236 536 28 596 18 229 64-65 65-66 48 850 55 945 57 991 72 008 \ 19 071 23 778 4-5 201 067 227 068 * . 13 140 66-67 42 314 48 315 \ 252 371 J 18 817 5-6 198 375 221 160 10 492 67-68 40 162 46 660 19 782 5-7 199 073 220 577 [ 1 046 588 J 8 730 68-69 37 925 49 065 J 1 21 930 7-8 194 928 215 149 7 237 69-70 S4 286 41 883 \ < 19 710 8-9 192 272 210 272 1 | 6 048 70-71 43 270 54 363 25 903 71-72 25 424 29 494 \ 177 124 \ 18 564 9-10 184 770 202 694 1 i 5 037 72-73 28 689 36 242 22 069 10-11 188 625 208 958 4 678 73-74 25 054 31 432 ! 21 174 11-12 12-13 176 004 177 908 197 363 213 633 \ 971 316 I 4 380 4 600 74-75 23 191 28 900 i ( 20 390 13-14 172 162 205 386 4 777 75-76 25 521 32 091 23 502 1 76-77 19 551 25 219 \ 113 683 \ 21 107 14-15 175 651 207 645 1 r 5 335 77-78 16 336 19 390 18 785 15-16 175 345 200 352 5 699 78-79 15 369 19 044 J I 19 385 16-17 181 198 222 241 } 1 001 107 J 6 722 79-80 13 097 15 520 14 447 17 349 17-18 178 306 215 781 7 708 80-81 14 760 17 573 16 327 19 881 18-19 185 433 238 902 ) 1 9 206 81-82 9 195 10 356 9 845 14 785 19-20 181 455 223 530 9 738 82-83 8 449 10 725 9 713 15 404 20-21 195 551 243 829 10 423 83-84 7 210 8 984 8 196 13 969 21-22 179 582 217 504 \ 1 059 811 J 10 614 84-85 6 366 8 111 7 335 13 384 22-23 193 779 236 004 11 818 85-86 5 331 6 905 6 205 12 097 23-24 193 658 231 294 1 1 11 941 86-87 4 056 5 209 4 696 10 145 24-25 198 386 228 902 1 ( 12 218 87-88 3 453 4 260 3 902 8" 897 25-26 200 333 233 765 12 204 88-89 2 646 3 361 3 043 7 332 26-27 181 347 215 241 \ 1 028 587 1 12 510 89-90 2 033 2 641 2 371 6 043 27-28 177 494 197 953 12 360 90-91 1 896 2 341 2 143 5 751 28-29 182 679 222 781 1 1 13 447 91-92 1 023 1 256 1 152 3 647 29-30 161 397 179 611 12 019 92-93 835 1 071 966 3 171 30-31 197 771 238 921 13 375 93-94 604 789 707 2 456 31-32 135 313 150 528 \ 871 841 \ 10 695 94-95 468 548 513 1 791 32-33 158 825 192 365 13 294 95-96 348 485 424 1 489 33-34 145 183 168 547 J 12 274 96-97 239 254 247 1 090 34-35 143 466 175 215 1 f 12 334 97-98 153 144 148 776 35-36 158 273 202 838 i 13 553 98-99 126 129 128 561 36-37 134 871 170 018 \ 812 973 I 12 619 99-100 93 " 85 89 317 37-38 129 420 154 943 12 032 100-101 66 71 -274 38-39 146 HI 189 987 J I 14 050 101-102 18 19 128 39-40 133 588 152 294 12 128 102-103 103-104 13 14 10 91 40-41 159 828 208 447 14 646 9 -61 41-42 100 512 115 482 \ 702 424 \ 10 426 104-105 9 9 51 42-43 120 384 160 454 13 289 105-106 6 6 41 43-44 105 742 131 541 J 1 11 647 106-107 5 6 22 44-45 103 300 124 653 j | 11 318 107-108 108-109 5 6 11 45-46 117 031 153 138 13 684 Ages 100 and over, 158 .; 1 - t. x 18 46-47 91 413 115 285 \ 577 015 \ 11 750 109-110 6 47-48 89 732 112 778 1 12 133 110-111 1 1 2 48-49 96 566 134 421 ) 1 13 339 111-112 1 1 2 49-50 91 023 115 550 1 f 12 444 112-113 113-114 7 50-51 119 527 158 638 16 329 \ 3 51-52 71 302 85 844 !■ 505 445 \ 11 956 114-115 1 1 2 52-53 81 489 109 954 I 14 613 115-116 1 ■' 1 2 53-54 54-55 55-56 56-57 57-58 72 633 75 251 84 005 70 006 61 763 91 113 93 874 96 356 83 432 70 360 ) 1 13 821 14 625 15 580 15 272 15 047 116-117 117-118 118-119 392 462 | 125-126 1 58-59 | 62 958 79 056 ' 16 430 Unknown ages 12 173 9 953 1 INFANT MORTALITY BY MpNTHS DURING FIRST YEAR OF LIFE IN CALENDAR YEARS 1901 AND 1905 TO 1910. ■ Months O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Deaths 71 353 19 020 17 107 15 438 13 438 11 832 11 619 9 937 9 608 8 904 7 801 7 545 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NUW BER OF BIRTHS. AGE INTERVALS OF ONE YEAR. calendar year. AGE INTERVALS OF ONE YEAR. CALENDAR YEAR. 0-1 1-2 2-3 3-4 4-5 0-1 1-2 2-3 3-4 4-5 1901 1902 26 668 26 697 1908 1909 29 369 28 832 6 306 6 829 2 687 2 765 1 787 1 701 1 257 1 242 6 512 1903 25 813 6 105 2 831 1910 30 869 6 733 3 011 1 902 1 295 1904 1905 1906 1907 27 501 6 480 2 829 1 861 1911 27 912 5 997 2 527 1 658 1 190 28 293 6 108 2 761 1 741 1 208 1912 5 691 2 482 1 459 1 096 30 224 6 958 2 969 1 845 1 299 1913 2 667 1 741 1 258 29 347 6 394 2 777 1 790 1 294 - 150822°— 21- 1 Infant mortality by months during the first year of life is not available in calendar years 1902 to 1904. -30 466 UNITED STATES LIFE TABLES. Table 175 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOR NEGRO MALES IN THE ORIGINAL REGISTRATION STATES: 1901 TO 1910. Unknown ages undistributed ii enumerated population, but distributed in mean population and in deaths. Age Interval. POPULATION. Reported Deaths, 1901-1910. Age Interval. POPULATION. Reported Deaths, 1901-1910. Enumerated Enumerated Mean. Enumerated Enumerated Mean, June 1, 1900. April 15, 1910. 1901-1910. June 1, 1900. April 15, 1910. 1901-1910. 1 2 3 1 5 6 7 S 9 10 All ages. 185 211 223 085 206 061 55 456 Years 59-60 60-61 875 1 708 938 1 843 | | 415 828 Years. 61-62 454 572 l 4 617 339 0-1 3 563 4 079 ( 12 S51 , 62-63 587 794 J 448 1-2 2-3 3 016 3 265 3 262 3 730 14 047 j 2 974 1 22S 63-64 586 764 > 424 3-4 3 206 3 670 1 663 64-65 ! 483 677 592 405 65-66 921 1 251 1 108 761 4-5 3 189 3 534 [ 432 66-67 67-68 68-69 419 560 499 358 5-6 3 188 3 374 299 421 509 472 366 6-7 3 148 3 449 ► 16 395 { 262 377 564 482 376 7-8 3 063 3 361 229 8-9 3 074 3 136 1 210 69-70 323 497 420 279 70-71 643 840 755 622 9-10 2 951 3 215 1 1 210 71-72 221 225 224 207 10-11 3 031 3 244 1S3 72-73 252 373 320 2S5 11-12 2 803 2 934 \ 1.5 340 { 204 73-74 224 311 274 253 12-13 2 945 3 296 177 13-14 2 868 3 126 1 I 175 74-75 183 253 222 248 75-76 328 381 359 419 14-15 2 957 3 370 I 1 210 76-77 152 197 178 245 15-16 3 020 2 992 247 77-78 118 161 143 176 16-17 3 137 3 304 \ 16 378 { 313 78-79 146 159 153 210 17-18 3 128 3 309 349 18-19 3 583 3 714 | 1 422 79-80 124 133 130 149 80-81 173 225 202 320 19-20 3 853 3 889 1 1 480 81-82 49 83 68 80 20-21 4 112 4 007 531 82-83 77 80 60 79 129 21-22 4 351 4 695 ]■ 22 398 { 559 83-84 58 59 102 22-23 4 646 4 989 635 23-24 4 820 5 129 ) 699 84-85 57 53 55 111 24-25 4 886 5 543 I f 700 85-86 86-87 87-88 88-89 71 52 67 44 70 48 136 65 25-26 5 044 6 158 751 33 39 36 80 26-27 4 241 5 323 \ 26 052 i 677 33 28 30 62 27-28 4 250 5 181 652 28-29 4 503 6 184 J I 799 89-90 24 21 22 56 29-30 3 747 5 080 637 90-91 91-92 92-93 93-94 27 5 36 13 32 9 76 25 30-31 5 362 6 911 868 4 11 8 31 31-32 2 696 3 660 \ 21 521 \ 496 6 5 6 28 32-33 3 207 4 778 668 33-34 2 757 3 979 1 ! 623 94-95 6 6 6 20 34-35 2 941 4 300 1 ( 656 95-96 96-97 97-98 98-99 12 8 18 3 15 5 40 16 35-36 4 081 6 069 921 3 1 2 19 36-37 2 468 3 990 \ 19 494 < 598 6 5 6 15 37-38 2 412 3 678 600 38-39 3 148 4 929 I 1 720 99-100 3 2 3 8 39-40 2 816 3 957 1 ( 567 100-101 101-102 102-103 103-104 7 2 2 32 5 40-41 4 306 5 802 911 2 2 5 41-42 42-43 1 686 2 367 2 297 3 495 \ 15 826 < 459 605 2 2 10 43-44 1 848 2 434 ) I 532 104-105 1 1 4 44-45 45-46 1 744 2 873 2 202 3 650 l 83 l 445 789 105-106 106-107 107-108 3 2 3 2 8 5 4 46-47 1 557 1 754 [ 10 873 \ 404 108-109 3 47-48 1 532 1 804 467 48-49 49-50 50-51 51-52 1 835 2 460 | 575 109-110 2 1 742 3,057 1 116 2 318 3 494 1 325 1 9 639 J 527 921 408 110-111 111-112 112-113 113-114 Ages 100 andovtr, 23 4 1 2 52-53 1 496 1 905 557 53-54 54-55 1 180 1 371 J | 469 114-115 1 301 1 503 1 509 115-116 116-117 1 1 55-56 1 608 1 747 644 117-118 56-57 57-58 1 207 X64 1 308 1 037 I 6 369 J 519 448 118-119 58-59 933 1 092 ) 477 119-120 1 128-129 135-136 Unknown ages 1 208 1 1 737 1 i INFANT MORTALITY BY MONTHS DURING FIRST YEAR OF LIFE IN CALENDAR YEARS 1901 AND 1905 TO 1910.1 Months . O-l 1-2 2-3 3-1 1-5 K-fi 6-7 7-8 8-9 9-10 10-11 11-12 Deaths 3 008 798 755 680 640 515 5S1 456 409 | 389 | 315 340 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NUMBER OF BIRTHS. AGE INTERVALS OF ONE TEAR. CALENDAR YEAR. AGE INTERVALS OF ONE YEAR. CALENDAR YEAR. O-l 1-2 2-3 3-1 4-5 O-l 1-2 2-3 3-4 4-5 1901 1902 1 245 , 1 1908 1 238 279 260 110 62 67 63 56 50 34 35 42 34 40 1 316 296 1909 1 204 120 1903 1 277 334 122 1910 1 243 297 129 1904 1 340 32^1 134 7* 1911 1 083 273 120 1905 1 362 307 137 76 52 1912 250 97 1906 1 340 333 136 63 47 1913 111 66 38 1907 1 289 300 103 61 36 1 i Infant mortality by months during the first year of life is not available in calendar years 1902 to 1904. Table 176 ORIGINAL STATISTICS— TYPE IV. POPULATION AND MORTALITY STATISTICS UPON WHIOH IS BASED THE 467 LIFE TABLE FOR NEGRO FEMALES IN THE ORIGINAL REGISTRATION STATES: 1901 TO 1910. Unknown ages undistributed in enumerated population, but distributed in mean population and in deaths. POPULATION. POPULATION. Age Interval. Reported Deaths, 1901-1910. Age Interval. E Reported Deaths, Enumerated Enumerated Mean, lumerated Enumerated Mean, June 1, 1900. April 15, 1910. 1901-1910. Ju ue 1, 1900. April 15, 1910. 1901-1910. 1901-1910. 1 2 3 4 5 6 7 8 9 10 All ages. 202 987 239 053 222 906 51 917 Years. 59-60 60^61 787 1 796 1 010 2 195 1 382 794 Years. 61-62 448 520 4 765 \ 317 0-1 3 633 3 978 | | 10 875 62-63 600 767 349 1-2 2-3 3 226 3 492 3 464 3 870 \ 14 594 J 2 707 1 201 63-64 529 731 1 351 3-4 3 324 3 925 J 1 672 64-65 65-66 527 983 629 1 276 ] | 319 663 4-5 3 302 3 685 1 r 463 66-67 363 492 \ 3090 286 5-6 3 169 3 626 i 340 67-68 426 475 316 6-7 3 319 3 533 \ 17 291 J 292 68-69 396 516 J 1 346 7-8 3 338 3 520 260 69-70 390 461 1 f 290 8-9 3 283 3 518 J 1 244 70-71 844 923 626 71-72 194 258 \ 2 149 j 190 9-10 3 148 3 297 1 237 72-73 308 394 243 10-11 3 207 3 513 190 73-74 207 265 | 1 268 11-12 3 137 3 097 \ 16 604 213 12-13 3 239 3 680 258 74-75 229 270 253 205 13-14 3 196 3 449 J 261 75-76 388 467 433 398 76-77 206 241 226 196 14-15 3 294 3 662 * 295 77-78 138 153 146 180 15-16 3 412 3 370 | 364 78-79 183 188 187 201 16-17 3 811 3 850 \ 19 403 420 79-80 154 152 154 150 17-18 3 888 3 880 I 463 80-81 327 314 321 363 18-19 4 714 4 734 J 564 81-82 83 89 86 107 82-83 120 112 116 146 19-20 4 967 4 804 ] 562 83-84 87 85 86 132 20-21 5 794 5 457 637 21-22 4 991 5 025 \ 27 658 621 84-85 84 76 ' 80 139 22-23 5 806 5 969 681 85-86 112 102 108 187 23-24 5 988 6 297 J 730 86-87 51 66 59 119 87-88 59 47 52 97 24-25 6 115 6 650 1 744 88-89 48 40 44 88 25-26 5 992 7 085 1 740 89-90 41 63 53 82 26-27 4 824 6 203 (■ 29 766 706 90-91 81 79 81 147 27-28 4 572 5 555 I 635 91-92 17 22 20 37 28-29 4 891 6 798 ) 704 92-93 18 19 19 50 29-30 4 000 5 515 1 f 554 93-94 17 16 16 42 30-31 5 422 7 496 764 94-95 19 12 15 50 31-32 2 629 3 537 \ 22 324 i 462 95-96 24 30 28 59 32-33 3 301 4 925 569 96-97 5 14 10 32 33-34 2 788 4 088 J ( 484 97-98 8 10 9 25 34-35 2 989 4 292 1 f 539 98-99 16 11 13 37 35-36 4 263 5 802 667 99-100 7 8 8 20 36-37 2 563 3 964 19 594 i 496 100-101 18 19 52 37-38 2 588 3 489 458 101-102 3 3 12 38-39 3 309 5 059 1 636 102-103 6 6 13 39-40 3 239 4 040 1 [ 511 103-104 17 40-41 4 608 5 900 822 104-105 2 2 14 41-42 1 674 2 037 [ 15 848 i 400 105-106 3 3 8 42-43 2 380 3 130 530 106-107 1 1 10 43-44 1 798 2 373 J 469 107-108 2 2 3 44-45 1 847 2 117 1 I 419 108-109 5 45-46 3 083 3 735 692 109-110 Ages 100 4 4 3 46-47 1 574 1 841 [ 11 226 I 441 110-111 and over, 4 4 8 47-48 1 510 1 845 1 \ 438 111-112 54 48-49 1 946 2 635 1 1 499 112-113 3 3 6 49-50 1 796 2 335 I 457 113-114 1 50-51 3 357 3 920 825 114-115 1 51-52 1 026 1 207 I 9 818 J 356 115-116 1 1 1 52-53 1 500 1 855 513 116-117 1 1 53-54 1 101 1 274 1 419 117-118 1 1 54-55 1 164 1 493 j 424 118-119 1 1 3 55-56 56-57 57-58 1 534 980 766 1 842 1 274 972 6 102 ] 655 436 367 119-120 120-121 3 58-59 835 1 146 I 447 Unknown ages 971 773 INFANT MORTALITY BY MONTHS DURING FIRST YEAR OF LIFE IN CALENDAR Y EARS 1901 AND 1905 TO 1910. i Months 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 Deaths 2 355 662 607 669 539 521 514 411 355 334 309 277 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NU1 1BER OF BIRTHS. AGE INTERVALS OF ONE TEAR. calendar tear. AGE INTERVALS OF ONE TEAR. CALENDAR YEAR. 0-1 1-2 2-3 3-4 4-5 0-1 1-2 2-3 3-4 4-5 1901 1902 1 091 1 066 1908 1909 1 079 953 269 250 120 116 64 63 34 42 274 1903 1 087 280 141 1910 1 089 283 99 63 49 1904 1905 1906 1 171 303 124 69 1911 931 231 82 59 58 60 42 38 34 1 122 1 107 271 279 139 123 76 72 82 44 1912 1913 240 97 96 1907 1 113 249 102 68 50 1 Infant mortality by months during the first year of life is not available in calendar years 1902 to 1904. 468 UNITED STATES LIFE TABLES. TABLE 177 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOR NEGRO MALES IN THE DISTRICT OF COLUMBIA: 1901 TO 1910. Unknown ages undistributed in enumerated population, but distributed in mean population and in deaths. POPULATION. REPORTED DEATHS. Age POPULATION. REPORTED DEATHS. Interval. Enumerated June 1, 1930. Enumerated April 15, 1910. Mean, 1901-1910. 1901-1910 1905-1910 Interval, j Enumerated June 1, 1900. Enumerated Aprill5,1910. Mean, 1901-1910. 1901-1910 1905-1910 1 2 3 4 5 6 7 8 9 10 11 12 All ages. 38 348 42 615 40 725 13 484 8 272 Years. 59-60 60-61 61-62 170 441 64 174 419 109 Ages 60-84, 70 168 53 Years. 944 0-1 772 732 I 3 338 1 929 62-€3 114 145 653 70 1-2 654 638 \ 2 874 631 368 63-64 108 129 66 2-3 740 730 261 149 64-65 84 100 94 49 3-4 711 758 ] 144 86 65-66 259 268 265 Ages 157 66-67 71 77 74 65-69, 58 4-5 729 723 1 99 49 67-68 63 81 73 544 47 6-6 6-7 730 754 735 723 \ 3 610 Ages 38 38 68-69 55 92 76 54 7-8 694 734 265 30 69-70 60 94 79 40 8-9 727 658 ) 29 70-71 161 169 166 Ages 127 71-72 33 26 29 70-74, 18 9-10 692 644 1 22 72-73 46 65 57 378 33 10-11 661 713 Ages 17 73-74 36 41 39 23 11-12 628 629 \ 3 389 10-11, 28 74-75 24 39 32 24 12-13 746 711 210 22 75-76 73 76 75 Ages 78 13-14 699 646 J 24 76-77 24 29 27 75-79, 36 14-15 15-16 685 706 685 658 1 J Ages 28 30 77-78 78-79 12 18 18 30 15 25 246 22 20 16-17 688 711 \ 3 615 16-19, 43 79-80 23 17 20 13 17-18 712 735 I 413 45 80-81 42 38 40 Ages 43 18-19 844 791 J 67 81-82 12 13 13 80-84, 8 82-83 10 16 13 156 13 19-20 863 821 ) I 72 83-84 7 15 11 14 20-21 841 818 Ages 72 12 11 10 8 10 21-22 22-23 23-24 868 918 978 913 1 006 997 !■ 4 529 10-14, 779 74 96 115 85-86 86-87 87-88 11 10 8 11 10 8 Ages 85-89, 76 16 10 11 24-25 976 1 032 ) ( 115 88-89 6 5 5 4 25-26 964 1 179 Ages 114 89-90 90-91 91-92 92-93 6 5 3 2 10 3 3 4 26-27 27-28 28-29 738 743 848 887 947 1 144 f 4 796 25-19, 836 96 94 134 8 1 3 Ages 90-94, 34 9 3 1 29-30 653 888 1 88 93-94 2 2 2 4 30-31 1 115 1 212 Ages 124 31-32 431 594 V 3 753 h SOS/,, 68 94-95 1 3 32-33 545 808 744 104 95-96 1 3 2 5 33-34 449 676 J 127 96-97 2 1 2 4 34-35 35-36 509 925 723 1 141 ] 1 Ages 89 165 • 97-98 98-99 1 2 1 2 6 3 36-37 454 640 \ 3 559 SBS9, 92 1 1 1 5 1 37-38 38-39 445 578 638 912 1 1 783 78 109 100-101 101-102 1 1 39-40 537 741 1 87 102-103 1 1 40-41 1 089 1 164 1 Ages 155 103-104 1 1 2 41-42 304 376 \ 3 049 40-U, 68 42-43 457 622 ! 739 104 104-105 Ages 95 and over, 43-44 44-45 325 280 398 404 1 78 63 105-106 106-107 107-108 1 1 1 1 3 1 45-46 749 768 Ages 138 108-109 51 46-47 267 46-49, 63 47-18 48-49 49-50 50-51 51-52 52-53 271 413 356 813 205 329 302 465 437 726 231 358 I 1 978 684 Ages 50-54, 770 56 96 76 194 57 92 109-110 110-111 111-112 112-113 113-114 100 and over, 6 53-54 54-55 231 253 250 268 1 | 1 Ages 72 77 114-115 115-116 116-117 117-118 56-57 57-58 225 161 174 650 76 118-119 58-59 199 171 jj I 65 Unknown ages 34 183 INFANT MORTALITY BY MONTHS DURING FIRST YEAR OF LIFE IN CALENDAR YEARS 1905 TO 1910.1 Months O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 1 9-10 10-11 11-12 629 204 170 147 144 122 131 91 98 67 55 71 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NUMBER OF BIRTHS. AGE INTERVALS OF ONE YEAE. AGE intervals of one year. 0-1 1-2 2-3 3-4 4-5 O-l 1-2 2-3 3-4 4-5 1901 1902 1903 1904 1905 1906 308 399 314 328 352 384 1908 1909 1910 1911 1912 1913 300 280 303 246 50 60 45 57 52 14 24 28 21 16 20 16 17 4 3 9 18 10 6 3 5 5 6 69 83 60 79 67 33 21 36 31 16 24 11 12 11 7 1907 31 67 16 14 1 Infant mortality by months under 1 year of age is not available before 1905. ORIGINAL STATISTICS— TYPE V. 469 TABLE 178 POPULATION AND MORTALITY STATISTICS UPON WHICH IS BASED THE LIFE TABLE FOK NEGRO FEMALES IN THE DISTRICT OF COLUMBIA: 1901 TO 1910. Unknown ages undistributed in enumerated population, but distributed in mean population and in deaths. Age POPULATION. REPORTED DEATHS. Age Interval. POPULATION. REPORTED DEATHS. Interval. Enumerated June 1, 1900. Enumerated April 15, 1910. Mean, 1901-1910. 1901-1910 1905-1910 Enumerated June 1, 1900. Enumerated Aprill5,1910 Mean, 1901-1910. 1901-1910 1905-1910 1 2 3 i " 6 7 8 9 10 11 12 All ages. 48 354 51 831 50 301 13 114 7 872 Years. 59-60 60-61 154 512 194 629 1 I Ages 46 171 Years. 0-1 1-2 2-3 61-62 90 91 1 120 60-64, 45 742 726 1 1 2 867 1 688 62-63 137 151 613 47 700 775 683 747 [ 2 950 i 557 276 310 157 63-64 112 138 58 3-4 732 776 ) 1 147 86 64-65 83 98 | ( 45 4-5 723 777 1 108 57 65-66 66-67 310 54 338 65 \ 660 \ Ages 66-69, 141 41 5-6 w 6-7 7-8 734 802 833 758 761 756 \ 3844 Ages 6-9, 45 33 32 31 67-68 68-69 59 91 89 115 J 1 484 45 44 8-9 758 763 310 69-70 82 99 1 f 41 70-71 269 245 ! Ages 121 9-10 751 660 1 [ 33 71-72 31 46 \ 498 I 70-74, 30 10-11 793 769 Ages 10-14, 26 72-73 53 72 385 37 11-12 756 675 ■ 3777 \ 27 73-74 36 54 1 1 27 12-13 739 863 274 29 74-75 52 55 1 ( 19 13-14 792 743 1 36 75-76 107 106 Ages 67 76-77 46 42 )• 258 t 75-79, 26 14-15 802 777 1 f 44 77-78 24 18 I 247 20 15-16 856 819 Ages 62 78-79 34 33 J 1 20 16-17 957 915 [ 4 637 i 16-19, 60 17-18 947 877 • 1 658 82 79-80 28 19 23 19 18-19 1 148 1 162 ) I 82 80-81 93 84 88 Ages 58 81-82 12 13 13 80-84, 13 19-20 1 249 1 130 1 i 99 82-83 22 23 23 194 12 20-21 1 459 1 245 Ages 93 83-84 20 15 17 14 21-22 1 190 1 087 6 536 \ m-sl. 94 84-85 21 14 17 13 22-23 1 442 1 326 i 895 83 85-86 35 25 29 Ages 21 23-24 1 488 1 478 J 1 116 86-87 10 11 11 85-89, 15 87-88 9 12 11 123 8 24-25 1 490 1 431 1 f 122 88-89 20 9 14 8 25-26 1 503 1 591 Ages 119 26-27 1 124 1 273 \ 6642 \ S5-S9, 111 89-90 7 12 10 12 27-28 1 045 1 124 I 1 855 98 90-91 32 21 26 Ages 15 28-29 1 193 1 406 114 91-92 92-93 2 6 4 6 3 6 90-94, 77 2 4 29-30 871 1 133 100 93-94 1 4 2 9 30-31 1 354 1 589 I Ages 106 31-32 32-33 546 711 670 1 009 f 4 735 J so-84, 626 54 85 94-95 95-96 6 12 2 8 14 10 6 7 33-34 587 826 1 I 74 96-97 97-98 2 3 1 1 6 4 34-35 636 856 | 89 98-99 7 3 5 5 35-36 36-37 37-38 38-39 1 187 559 555 794 1 348 790 688 1 113 1 4 344 Ages S6S9, 678 118 68 67 99 99-100 100-101 101-102 102-103 2 1 4 2 1 4 2 6 7 1 1 39-40 735 917 ( 78 103-104 2 40-41 41-42 42-43 43-44 1 311 358 549 349 1 424 395 637 480 3 624 | Ages 40-U, 682 157 60 75 80 104-105 105-106 106-107 107-108 3 3 Ages 95 1 2 4 44-45 441 427 57 108-109 aria over, 45-16 46-47 47-48 48-19 949 334 319 490 935 352 354 632 2 636 Ages 45-49, 691 127 63 68 68 109-110 110-111 111-112 112-113 Ages 100 and over, 12 2 2 2 2 97 2 2 49-50 420 499 [ 72 113-114 50-51 1 017 1 018 Ages 176 114-115 1 1 2 51-52 218 230 I 2 340 i 60-64, 66 115-116 52-53 346 395 735 90 116-117 1 53-54 54-55 55-56 245 237 414 256 329 439 I Ages 71 56 114 117-118 118-119 119-120 56-57 200 262 1 371 < 65-59, 64 50 120-121 2 57-58 165 197 535 58-59 193 262 76 Unknown ages 46 290 I INFANT MORTALITY BY MONTHS DURING FIRST YEAR OF LIFE IN CALENDAR YEARS 1905 TO 1910.1 Months O-l 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 11-12 541 133 146 143 129 140 118 85 70 74 60 49 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NUMBER OF BIRTHS. AGE INTERVALS OF ONE YEAR. CALENDAR YEAR. AGE INTERVALS OF ONE YEAR. CALENDAR YEAR. O-l 1-2 2-3 3-4 4-5 O-l 1-2 2-3 3-4 4-5 1901 326 1908 268 50 28 14 9 1902 310 70 1909 258 50 32 12 9 1903 265 57 33 1910 278 43 23 15 7 1904 279 59 28 20 1911 219 67 20 11 9 1905 309 66 26 15 6 1912 48 19 13 9 1906 276 48 25 14 7 19 1913 17 14 5 1907 2< 9 53 23 16 1 Infant mortality by months under 1 year of age is not available before 1905. 470 Table 179 UNITED STATES LIFE TABLES. POPULATION AND MORTALITY STATISTICS UPON WHICH ARE BASED THE LIFE TABLES FOR INDIANA: 1901; AND MASSACHUSETTS- 1890. 1 Unknown ages distributed. Age Interval. INDIANA: 1901. Estimated population July 1, 1900. REPORTED DEATHS. 1900 1901 1902 1900-1902 MASSACHUSETTS: 1890." Enumerated population June 1, 1890. Enumerated population June 1, 1900. Estimated population Dec. 1, 1889. Reported deaths.' MALES. All ages. Years. 0-1 1-2 2-3 3-4 4-5 5-9 10-14 15-19 20-24 25-29 30-34 35-39 40-44 45-49 50-54 55-59 60-64 65-69 70-74 75-79 80-84 85-89 90-94 95-99 100 and over All ages. Years. 0-1 1-2 2-3 3-4 4-5 5-9 10-14 15-19 20-24 25-29 30-34 35-39 40-44 45-49 50-54 55-59 60-64 65-69 70-74 75-79 80-84 85-89 90-94 95-99 100 and over CALENDAR YEAR. 1903 1904 1905 1906 1903 1904 1905 1906 1 286 199 29 827 27 015 27 242 27 844 28 072 139 583 134 089 129 604 116 065 106 662 96 531 86 454 77 198 63 303 56 862 44 559 34 320 26 384 17 698 10 271 4 622 1 598 321 50 25 3 717 962 433 261 188 582 385 605 779 666 638 634 621 672 729 952 1 188 1 207 1 084 784 357 118 18 022 3 599 845 339 226 143 474 356 560 706 076 602 674 677 754 1 116 1 218 1 100 849 402 109 3 605 764 300 176 139 426 364 543 709 664 595 569 624 625 687 767 930 1 144 1 160 1 079 759 346 114 33 10 921 2 571 1 072 663 470 1 482 1 105 1 708 2 254 2 006 1 862 1 805 1 919 1 974 2 170 2 504 2 844 3 448 3 585 3 263 2 392 1 105 341 1 087 709 21 772 14 338 23 645 22 251 20 898 97 034 104 388 115 765 106 671 91 548 77 202 66 039 57 315 48 690 35 387 31 222 22 506 16 156 9 475 4 849 1 603 424 68 14 1 367 474 30 409 27 350 28 323 28 700 27 661 128 725 114 661 115 802 129 974 137 082 122 369 108 979 89 294 71 574 60 964 45 343 36 988 26 353 17 941 11 164 5 492 1 842 420 52 12 1 073 721 21 340 13 687 23 411 21 929 20 560 96 935 96 153 103 817 115 055 105 150 90 007 75 613 64 876 56 602 48 076 34 889 30 934 22 314 16 067 9 391 4 817 1 591 424 FEMALES. 28 324 26 298 26 538 27 173 27 215 134 612 131 456 128 508 116 203 103 416 91 639 81 340 71 182 58 671 49 385 40 833 31 812 24 856 16 153 9 594 4 494 1 588 409 86 34 2 950 867 432 239 190 570 419 796 924 735 715 631 611 607 940 1 032 942 721 383 129 2 925 751 349 199 139 477 347 719 962 873 780 681 659 621 616 743 851 1 008 1 036 1 021 775 392 140 2 865 651 328 152 135 405 330 644 632 657 560 625 670 781 887 1 006 968 639 326 123 50 217 8 740 2 269 1 109 590 464 1 452 1 096 2 159 2 782 2 537 2 223 2 028 1 947 1 792 1 848 2 135 2 435 2 835 3 074 2 931 2 135 1 101 392 21 398 14 207 23 218 22 246 20 382 97 703 95 758 110 850 129 703 114 599 94 246 79 624 69 892 60 672 54 202 40 367 35 359 25 415 18 878 11 538 7 009 2 846 895 187 40 30 291 26 780 28 128 28 174 27 395 128 218 115 457 122 874 150 267 146 364 f22 200 109 185 89 851 74 039 64 454 50 377 43 518 32 197 22 407 14 057 7 571 3 002 876 161 29 20 953 13 578 22 973 21 950 20 031 96 177 94 773 110 249 128 675 113 011 92 848 78 146 68 894 60 004 53 689 39 866 34 951 25 076 18 702 11 412 6 981 2 838 896 188 41 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NUMBER OF BIRTHS. AGE INTERVALS OF ONE YEAR. O-l 3-4 AGE INTERVALS OF ONE YEAR. O-l 1-2 2-3 3-* 3 081 754 300 338 293 202 195 182 164 145 112 147 4 782 1 122 553 350 288 742 1 013 924 863 830 862 937 922 985 1 084 1 062 993 691 377 109 33 21 557 4 039 1 053 562 349 281 742 411 723 1 027 1 051 928 880 841 847 875 901 1 009 1 051 1 092 1 008 943 609 244 4-5 No death data available between 1890 and 1900. 2 397 583 685 254 295 274 1.51 194 172 166 117 118 135 1 Census year ended May 31, 1890. ORIGINAL STATISTICS— TYPE VI. TABLE 180 POPULATION AND MORTALITY STATISTICS UPON WHICH ARE BASED THE LIFE TABLES FOR MASSACHUSETTS: 1901; AND MICHIGAN: 1901. Unknown ages distributed. 471 Age Interval. MASSACHUSETTS: 1901. MICHIGAN: 1901. Estimated population July 1, 1900. REPORTED DEATHS. Estimated population July 1, 1900. REPORTED DEATHS. 1900 1901 1902 1900-1902 1900 1901 1902 1900-1902 MALES. 1 2 3 4 5 6 7 8 9 10 11 AU ages. 1 369 903 26 050 24 873 24 312 75 235 1 250 640 18 130 17 597 17 016 52 743 Years. 0-1 1-2 2-3 3-4 4-5 5-9 10-14 15-19 20-24 25-29 30-34 35-39 40-44 45-49 50-54 55-59 60-64 65-69 70-74 75-79 80-84 85-89 90-94 95-99 100 and over 30 455 27 385 28 371 28 740 27 690 128 895 114 899 116 055 130 205 137 233 122 509 109 199 89 608 71 776 61 118 45 431 37 050 26 405 17 973 11 177 5 498 1 846 421 52 12 6 487 1 294 529 419 272 678 327 602 921 1 009 1 015 1 064 1 009 995 1 160 1 246 1 328 1 472 1 369 1 252 949 477 144 } 32 5 585 1 021 504 351 262 615 331 510 861 1 073 1 070 1 120 1 088 1 075 1 152 1 194 1 422 1 429 1 348 1 291 971 424 147 29 5 562 1 154 477 286 206 573 310 505 823 1 013 961 997 1 089 1 012 1 153 1 277 1 438 1 392 1 343 1 238 858 455 158 32 17 634 3 469 1 510 1 056 740 1 866 968 1 617 2 605 3 095 3 046 3 181 3 186 3 082 3 465 3 717 4 188 4 293 4 060 3 781 2 778 1 356 449 93 27 545 25 533 25 857 26 843 26 560 134 213 125 217 116 784 112 076 101 853 92 994 87 435 79 418 66 175 56 536 45 488 35 300 27 255 18 344 11 480 5 405 1 815 386 / 104 \ 24 4 068 778 321 188 160 508 354 548 678 651 561 579 621 621 707 845 932 1 097 1 245 1 192 819 485 133 | 39 3 600 612 285 155 130 403' 375 535 643 585 538 587 646 641 744 868 958 1 237 1 249 1 219 949 469 135 44 3 370 582 283 189 143 471 312 491 615 589 503 582 659 672 762 813 923 1 188 1 205 1 157 900 432 137 38 11 038 1 972 889 532 433 1 382 1 041 1 574 1 936 1 825 1 602 1 748 1 926 1 934 2 213 2 526 2 813 3 522 3 699 3 568 2 668 1 376 405 121 FEMALES. All ages. 1 440 178 25 149 23 332 23 186 71 667 1 173 626 15 843 15 255 14 346 45 444 Years. 0-1 1-2 2-3 3-4 4-5 5-9 10-14 15-19 20-24 25-29 30-34 35-39 40-44 45^9 50-54 55-59 60-64 65-69 70-74 75-79 80-84 85-89 90-94 95-99 100 and over 30 329 26 813 28 173 28 214 27 424 128 373 115 683 123 111 150 422 146 470 122 371 109 414 90 059 74 228 64 599 50 458 43 577 32 255 22 456 14 087 7 584 3 009 878 162 29 5 013 1 106 541 358 280 658 356 552 904 1 075 988 970 992 932 1 099 1 203 1 384 1 515 1 567 1 422 1 178 686 278 } 92 4 293 920 426 289 214 564 329 512 846 986 917 940 963 895 1 089 1 148 1 343 1 486 1 618 1 371 1 125 682 309 67 4 479 1 027 502 310 219 553 295 482 838 967 954 918 925 877 1 032 1 161 1 337 1 418 1 501 1 320 1 103 632 254 82 13 785 3 053 1 469 957 713 1 775 980 1 546 2 588 3 028 2 859 2 828 2 880 2 704 3 220 3 512 4 064 4 419 4 686 4 113 3 406 2 000 841 241 26 759 24 854 24 970 26 399 26 030 130 328 122 853 116 978 111 015 96 975 85 952 78 091 68 716 56 501 48 092 40 466 31 822 24 082 15 876 9 718 4 797 1 778 440 / 99 \ 35 3 171 695 290 188 131 464 337 529 712 777 657 614 569 553 596 660 762 921 967 933 742 370 143 } 62 2 729 529 258 181 118 366 291 526 • 686 673 633 585 574 545 651 694 816 992 995 1 019 778 416 154 46 2 556 510 229 153 114 415 295 513 662 612 539 577 552 503 527 612 812 947 990 953 738 364 128 45 8 456 1 734 777 522 363 1 245 923 1 568 2 060 2 062 1 829 1 776 1 695 1 601 1 774 1 966 2 390 2 860 2 952 2 905 2 258 1 150 425 153 NUMBER OF BIRTHS REGISTERED. ADDITIONAL MORTALITY STATISTICS USED IN DETER- MINING THE NUMBER OF BIRTHS. CALENDAR YEAR. 1900 1901 1902 1901-1902 CALENDAR YEAR. AGE INTERVALS OF ONE YEAR. O-l 1-2 2-3 3^ 4-5 37 772 35 614 37 004 34 972 37 057 35 162 111 833 105 748 1903 1904 1905 1906 1903 1904 1905 1906 MALES. Female birt 3 661 577 549 265 277 259 215 151 154 207 136 126 129 FEMALES. 2 747 539 606 253 225 243 168 135 158 194 138 116 128 472 UNITED STATES LIFE TABLES. TABLE 181 POPULATION AND MORTALITY STATISTICS UPON WHICH ARE BASED THE LIFE TABLES FOE NEW JERSEY: 1901; AND NEW YORK: 1901. Unknown ages distributed. Age interval. NEW JERSEY: 1901. NEW YORK: 1901. Estimated population July 1, 1900. REPORTED DEATHS. Estimated population July 1, 1900. REPORTED DEATHS. 1900 1901 1902 1900-1902 1900 1 1901 1902 1900-1902 MALES. 1 2 3 4 5 6 7 8 9 10 11 All ages. 944 517 17 904 17 077 17 071 52 052 3 622 964 69 687 70 070 66 841 206 598 Years. 0-1 1-2 2-3 3-4 4-5 5-9 10-14 15-19 20-24 25-29 30-34 35-39 40-44 45-49 50-54 55-59 60-64 65-69 70-74 75-79 80-84 85-89 90-94 95-99 100 and over 22 043 19 700 21 216 20 902 20 685 99 122 87 275 81 102 85 996 87 994 81 991 75 079 62 019 47 250 40 334 30 296 24 074 16 353 11 020 6 246 2 753 861 168 33 5 4 422 931 449 227 195 493 267 415 620 760 755 852 780 757 775 858 968 931 869 752 519 224 64 I » 3 884 764 360 208 150 477 267 398 592 742 806 811 803 789 856 900 954 963 843 712 492 226 64 16 3 966 865 390 224 174 497 224 371 567 725 799 906 815 820 844 829 876 921 870 682 445 178 66 17 12 272 2 560 1 199 659 519 1 467 758 1 184 1 779 2 227 2 360 2 569 2 398 2 366 2 475 2 587 2 798 2 815 2 582 2 146 1 456 628 194 54 80 771 71 740 76 300 76 304 75 381 358 936 323 784 308 685 332 999 343 760 316 901 289 429 241 826 187 577 158 270 118 604 96 072 68 230 48 715 29 100 13 803 4 565 994 f 180 \ 38 14 757 3 789 1 596 1 019 633 1 813 937 1 451 2 448 3 087 3 362 3 573 3 442 3 183 3 382 3 309 3 529 3 648 3 611 3 303 2 284 1 097 354 } 80 13 378 3 478 1 431 940 744 1 860 934 1 502 2 465 3 262 3 458 3 688 3 677 3 379 3 546 3 536 3 824 3 857 3 732 3 238 2 522 1 176 348 95 13 258 3 335 1492 856 695 1 747 841 1 406 2 311 2 788 3 306 3 537 3 457 3 164 3 412 3 434 3 693 3 670 3 616 3 084 2 292 1 040 326 81 41 393 10 602 4 519 2 815 2 072 5 420 2 712 4 359 7 224 9 137 10 126 10 798 10 576 9 726 10 340 10 279 11 046 11 175 10 959 9 625 7 098 3 313 1 028 256 FEMALES. All ages. 944 667 15 535 14 714 . 14 311 44 560 3 661 497 62 665 61 391 57 816 181 872 Years. 0-1 1-2 2-3 3-4 4-5 5-9 10-14 15-19 20^24 25-29 30-34 35-39 40-44 45-49 50-54 55-59 60-64 65-69 70-74 75-79 80-84 85-89 90-94 95-99 100 and over 21 743 19 308 20 836 20 595 20 438 98 575 87 934 86 469 93 114 89 287 77 652 69 757 56 451 45 320 38 9/1 30 250 26 395 17 770 12 281 7 120 3 623 1 337 365 60 16 3 398 895 372 250 190 463 274 352 549 679 672 656 584 552 652 737 762 840 884 741 535 334 127 } 37 3 025 675 293 215 147 424 215 363 586 597 629 598 635 574 646 684 839 831 887 751 604 316 143 37 3 095 775 358 208 163 449 203 343 544 663 599 600 569 559 649 651 763 759 747 693 532 256 111 22 9 518 2 345 1 023 673 500 1 336 692 1 058 1 679 1 939 1 900 1 854 1 788 1 685 1 947 2 072 2 364 2 430 2 518 2 185 1 671 906 381 96 79 259 70 658 75 295 75 456 74 683 356 644 322 185 334 659 372 772 353 921 302 644 273 404 222 914 181 751 156 736 122 006 103 120 74 996 52 607 31 968 15 923 5 895 1 595 / 349 \ 57 12 054 3 284 1 460 913 715 1 746 959 1 465 2 450 2 831 2 748 2 726 2 518 2 575 2 849 3 015 3 410 3 510 3 663 3 290 2 468 1 353 498 } 165 10 667 3 017 1 323 860 697 1 739 859 1 440 2 271 2 712 2 763 2 731 2 632 2 395 2 904 3 095 3 685 3 719 3 805 3 453 2 576 1 373 519 156 10 604 3 001 1 348 819 697 1 510 806 1 363 2 177 2 561 2 597 2 542 2 493 2 333 2 705 2 833 3 231 3 476 3 519 3 054 2 388 1 227 490 142 33 325 9 302 4 131 2 592 2 009 4 995 2 624 4 268 6 898 8 104 8 108 7 999 7 643 7 303 8 458 8 943 10 326 10 705 10 987 9 797 7 432 3 953 1 507 463 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NUMBER OF BIRTHS. CALENDAR YEAR. AGE INTERVALS OF ONE TEAR. AGE INTERVALS OP ONE TEAR. O-l 1-2 2-3 3-4 4-5 0-1 1-2 2-3 3-4 4-5 1903 1904 1905 1906 MALES. 3 601 767 907 340 443 343 217 293 213 244 12 634 2 882 3 484 1 315 1 515 1 372 787 933 876 899 195 164 194 704 610 587 PEMALES. 1903 1904 1905 1900 2 884 660 839 315 369 333 217 238 215 250 10 293 2 637 3 172 1 229 1 357 1 283 762 892 789 787 179 165 171 640 536 527 Table 182 ORIGINAL STATISTICS— TYPE VII. POPULATION AND MORTALITY STATISTICS UPON WHICH ARE BASED THE LIFE TABLES FOR THE CITY OF BOSTON. 473 Unknown ages distributed. Ace Interval. Estimated Population REPORTED DEATHS. Estimated Population July 1, 1900. REPORTED DEATHS. July 1, 1910. 1909 1910 1911 1909-1911 1900 1901 1 1902 ! 1900-1902 MALES: 1910. MALES: 1901. 1 1 2 [ 3 4 5 6 7 8 | 9 10 11 All ages. 330 841 i 5 797 1! 049 G 234 18 080 275 376 5 840 5 901 5 661 17 402 Years. 0-1 | 6 972 1-2 j 6 305 1 157 1 252 1 266 3 675 6 270 1 333 1 262 1 206 3 801 243 258 254 755 5 623 331 324 335 990 2-3 3-4 4-5 O 040 6 507 123 109 87 319 5 812 155 157 125 437 72 77 75 224 5 714 132 106 62 300 5 985 44 38 57 139 5 462 72 72 51 195 0-4 5-9 10-14 15-19 20-24 32 415 1 639 1 734 1 739 5 112 28 881 2 023 1 921 1 779 5 723 28 702 108 128 114 350 24 713 162 170 129 461 27 722 27 201 58 107 83 116 59 106 200 329 21 390 20 142 63 131 66 115 73 134 202 380 32 763 168 154 178 500 26 432 229 221 224 674 25-29 33 646 211 241 248 700 32 042 321 357 397 985 30-34 35-39 29 986 269 295 305 869 28 858 311 361 311 983 29 368 357 336 377 1 070 25 083 343 365 300 1 008 40-44 24 323 355 378 418 1 151 19 053 282 301 333 916 45-49 19 904 368 366 380 1 114 14 105 269 290 276 835 50-54 15 422 398 408 420 1 226 12 035 295 292 324 911 55-59 10 313 333 345 359 1 037 8 048 297 297 290 884 60-64 7 769 356 444 400 1 200 6 222 275 293 333 901 65-69 5 355 318 335 377 1 030 3 833 278 294 278 850 70-74 3 132 325 253 328 906 2 408 218 209 208 635 75-79 1 709 190 213 211 614 1 310 160 176 178 514 80-84 782 145 131 126 402 590 114 113 112 339 85-89 259 73 61 60 194 177 50 36 54 140 90-94 58 16 24 26 66 41 16 16 15 47 95-99 10 2 3 2 7 1 13 3 8 3 14 100 and over 2 1 1 1 3 1 FEMALES: 1910. FEMALES: 1901. All ages. 342 058 5 259 5 513 5 531 16 303 286 442 5 610 5 396 5 338 16 344 Years. 0-1 6 658 967 995 980 2 942 6 286 1 054 1 026 1 059 3 139 1-2 6 099 225 204 221 650 5 455 265 252 273 790 2-3 6 600 101 85 92 278 5 821 174 128 134 436 3-4 6 488 57 61 52 170 5 767 107 85 73 265 4-5 5 749 40 40 36 116 5 529 89 69 57 215 0.4 31 594 1 390 1 385 1 381 4 156 28 858 1 689 1 560 1 596 4 845 5-9 28 330 110 118 103 331 24 506 171 154 122 447 10-14 27 841 86 79 61 226 21 252 72 81 77 230 15-19 28 914 119 104 114 337 22 392 112 123 91 326 20-24 34 687 183 169 147 499 31 812 211 228 228 667 25-29 34 360 216 188 241 645 33 271 308 274 271 853 30-34 30 919 222 214 200 636 27 233 262 254 293 809 35-39 29 616 269 274 272 815 23 786 260 280 269 809 40-44 24 100 293 281 267 841 18 109 245 256 263 764 45-49 19 703 235 290 298 823 14 486 230 218 228 676 50-54 15 625 270 324 323 917 12 449 273 288 234 795 55-59 11 058 279 285 327 891 8 749 271 268 267 806 60-64 9 429 367 350 411 1 128 7 558 291 296 307 894 65-69 6 645 329 379 392 1 100 4 948 328 287 293 908 70-74 4 590 314 356 337 1 007 3 459 295 302 274 871 75-79 2 643 230 325 272 827 2 013 238 222 225 685 80-84 1 325 199 223 230 652 1 038 199 154 156 509 85-89 511 100 121 101 322 379 102 108 100 310 90-94 133 38 36 42 116 128 41 38 33 112 95-99 31 8 8 12 28 1 16 12 5 11 28 100 and over 4 2 4 6 1 NUMBER OF BIRTHS REGISTERED. CALENDAR TEAK. 1909 1910 1 1911 | 1909-1911 CALENDAR YEAR. 1900 1901 1902 1900-1902 Male births ! 145 549 8 943 8 798 9 190 27 278 8 767 26 024 Ma Fe 8 376 7 975 7 944 7 636 7 936 7 613 24 256 23 224 Female birt hs Male births 1 1 Only the total number of births, 17,957, was reported in 1911. See fifth paragraph of section 276 on page 424. 474 UNITED STATES LIFE TABLES. Table 183 POPULATION AND MORTALITY STATISTICS UPON WHICH ARE BASED THE LIFE TABLES FOR THE CITY OF CHICAGO. Unknown ages distributed. REPORTED DEATHS. REPORTED DEATHS. Estimated Estimated Population Interval. July 1, 1910. 1909 1910 1911 1909-1911 July 1, 1900. 1900 1901 1902 1900-1902 MALES: 1910. MALES: 1901. 1 2 3 4 5 6 7 8 9 10 11 All ages. 1 131 054 17 871 19 169 18 947 55 987 865 496 14 382 13 510 14 991 42 883 Years. 0-1 25 023 3 601 3 861 3 658 11 120 20 019 3 069 2 829 2 880 8 778 1-2 21 997 832 918 762 2 512 18 028 766 668 811 2 245 2-3 23 535 350 413 355 1 118 19 215 370 282 326 978 3-4 22 371 220 227 25S 705 19 251 227 183 233 643 4-5 21 183 158 179 183 520 19 543' 189 138 170 497 0-4 114 109 5 161 5 598 5 216 15 975 96 056 4 621 4 100 4 420 13 141 5-9 97 135 409 415 487 1 311 93 932 545 377 520 1 442 10-14 93 599 236 224 265 725 79 850 283 225 273 781 15-19 101 408 368 421 433 1 222 70 282 351 393 413 1 157 20-24 126 972 657 720 779 2 156 79 081 522 539 635 1 696 25-29 127 301 827 928 860 2 615 88 025 646 651 692 1 989 30-34 106 307 948 902 969 2 819 87 044 758 715 890 2 363 35-39 92 375 1 058 1 031 1 181 3 270 79 365 849 873 968 2 690 40-44 78 952 1 125 1 273 1 240 3 638 62 206 892 879 1 039 2 810 45-49 64 704 1 326 1 341 1 337 4 004 41 679 812 746 908 2 466 50-54 49 411 1 180 1 322 1 396 3 898 32 209 817 790 893 2 500 55-59 29 558 1 017 1 140 1 150 3 307 21 081 695 693 759 2 147 60-64 20 850 991 986 1 011 2 988 15 133 662 641 656 1 959 65-69 13 563 825 980 930 2 735 9 302 639 606 603 1 848 70-74 7 953 677 734 661 2 072 5 739 503 562 557 1 622 75-79 4 207 532 575 535 1 642 2 881 397 354 384 1135 80-84 1 785 331 350 303 984 1 208 241 232 235 708 85-89 649 142 175 136 453 316 106 95 102 303 90-94 158 52 45 49 146 85 29 26 35 90 95-99 19 8 7 9 24 I 22 14 13 9 36 100 and over 9 1 2 3 1 FEMALES: 1910. FEMALES: 1901. All ages. 1 064 497 13 425 14 072 13 584 41 081 837 186 11 680 10 968 11 494 34 142 Years. 0-1 24 463 2 785 2 985 2 595 8 365 19 568 2 375 2 207 2 271 6 853 1-2 21 261 754 767 654 2 175 17 845 760 648 661 2 069 2-3 22 909 319 369 293 981 18 848 351 240 302 893 3-4 22 217 196 229 227 652 19 371 235 150 202 587 4-5 20 696 147 174 156 477 19 691 189 157 169 515 0-4 111 546 4 201 i 524 3 925 12 650 95 323 3 910 3 402 3 605 10 917 5-9 95 776 365 396 436 1 197 94 472 497 350 496 1 343 10-14 93 771 211 216 232 659 81 364 227 177 259 663 15-19 108 722 367 385 357 1 109 77 369 310 375 372 1 057 20-24 125 965 595 584 604 1 783 87 853 530 510 548 1 588 25-29 111 449 609 583 641 1 833 87 764 603 627 595 1 825 30-34 90 282 613 618 605 1 836 76 989 610 569 594 1 773 35-39 81 596 669 660 662 1 991 66 813 576 601 596 1 773 40-44 67 538 613 660 647 1 920 48 840 512 500 570 1 582 45-49 55 600 723 720 710 2 153 35 544 482 476 486 1 444 50-54 41 794 649 696 745 2 090 28 477 489 515 557 1 561 55-59 27 086 643 688 661 1 992 19 200 501 502 475 1 478 60-64 20 979 678 670 718 2 066 14 814 531 513 495 1 539 65-69 14 239 702 682 705 2 089 10 124 571 528 539 1 633 70-74 9 113 632 695 625 1 952 6 383 479 462 453 1 394 75-79 5 279 526 676 600 1 702 3 525 380 377 366 1 123 80-84 2 488 335 412 380 1 127 1 617 285 284 284 853 85-89 967 201 204 222 627 532 120 134 135 389 90-94 245 73 80 81 234 134 49 48 45 142 95-99 52 13 19 24 56 1 49 18 18 24 60 100 and over 10 7 4 4 15 J ADI ITIONAL MORTALITY STATISTICS I JSED IN DE' rERMINING T 'HE NUMBER OF BIRT as. CALENDAR YEAR. Males. Females. AGE INTERVALS OF ONE YEAR. AGE INTERVALS OF ON E YEAR. O-l 1-2 2-3 3-4 4-5 O-l 1-2 2 3 3-4 4-5 1903 1904 1905 1906 1912 1913 3 014 801 567 362 219 300 235 151 185 212 285 297 2 254 728 525 338 195 293 221 153 172 201 245 296 118 118 157 111 112 149 3 821 866 918 372 461 2 858 804 805 396 403 221 221 Table 184 ORIGINAL STATISTICS— TYPE VU. POPULATION AND MORTALITY STATISTICS UPON WHICH ARE BASED THE LIFE TABLES FOR THE CITY OF NEW YORK. Unknown ages distributed. 475 Age Interval. Estimated Population July 1, 1910. REPORTED DEATHS. Estimated Population July 1, 1900. REPORTED DEATHS. 1909 1910 1911 1909-1911 1900 1901 1902 1900-1902 MALES: 1910. MALES: 1901. 1 2 3 4 5 6 7 8 9 10 11 All ages. 2 396 502 40 388 41 763 41 118 123 269 1 711 273 38 029 38 174 36 899 113 102 Years. 0-1 1-2 2-3 3-4 4-5 0-4 5-9 10-14 15-19 20-24 25-29 30-34 35-39 40-44 45-49 50-54 55-59 60-64 65-69 70-74 75-79 80-84 85-89 90-94 95-99 100 and over 56 490 49 429 53 514 50 967 47 395 257 795 220 882 212 300 217 817 253 249 255 584 221 598 198 166 162 627 128 577 99 311 61 554 45 366 29 807 17 928 8 590 3 732 1 258 303 46 12 8 812 2 505 1 085 573 373 13 348 891 513 767 1 324 1 723 2 065 2 494 2 544 2 535 2 470 2 039 2 220 1 947 1 484 1 064 559 298 77 19 7 8 829 2 305 1 032 546 369 13 081 946 509 894 1 405 1 769 2 130 2 534 2 661 2 673 2 680 2 326 2 349 2 018 1 659 1 062 635 312 87 22 11 8 182 2 093 861 492 346 11 974 933 474 872 1 326 1 734 2 124 2 646 2 744 2 765 2 732 2 425 2 415 2 111 1 689 1 092 654 302 85 16 5 25 823 6 903 2 978 1 611 1 088 38 403 2 770 1 496 2 533 4 055 5 226 6 319 7 674 7 949 7 973 7 882 6 790 6 984 6 076 4 832 3 218 1 848 912 249 57 23 44 002 37 721 40 336 39 886 38 823 200 768 178 557 150 721 141 435 162 870 179 361 165 685 147 536 114 981 80 702 66 591 45 122 33 998 20 042 13 051 6 269 2 584 791 168 ! - 9 190 2 625 1 101 687 400 14 003 1 072 426 689 1 393 1 922 2 158 2 372 2 175 1 923 2 027 1 757 1 674 1 481 1 280 907 475 219 57 19 8 493 2 499 971 652 496 13 111 1 152 464 742 1 389 1 964 2 305 2 402 2 400 1 990 2 027 1 899 1 868 1 516 1 233 878 542 218 52 22 8 545 2 453 1 062 610 473 13 143 1 097 441 720 1 269 1 700 2 202 2 328 2 202 1 883 1 978 1 799 1 824 1 507 1 204 849 475 204 65 9 26 228 7 577 3 134 1 949 1 369 40 257 3 321 1 331 2 151 4 051 5 586 6 665 7 102 6 777 5 796 6 032 5 455 5 366 4 504 3 717 2 634 1 492 641 174 50 FEMALES: 1910. FEMALES: 1901. All ages. 2 398 433 33 875 35 024 34 211 103 110 1 737 150 32 838 32 434 31 087 96 359 Years. 0-1 1-2 2-3 3-4 4-5 0-4 5-9 10-14 15-19 20-24 25^29 30-34 35-39 40-44 45-49 50-54 55-59 60-64 65-69 70-74 75-79 80-84 85-89 90-94 95-99 100 and over 54 842 48 099 52 611 50 518 46 927 252 997 220 590 213 224 243 150 282 515 247 220 203 946 186 858 149 533 119 328 93 179 61 546 49 712 33 094 21 645 11 663 5 531 2 003 558 117 24 7 109 2 301 845 559 363 11 177 863 459 739 1 228 1 479 1 494 1 705 1 622 1 611 1 605 1 683 2 052 1 849 1 641 1 286 809 366 152 47 8 7 332 2 045 878 561 321 11 137 904 506 765 1 289 1 503 1 572 1 665 1 680 1 721 1 887 1 770 2 001 1 956 1 783 1 342 878 444 161 39 21 6 847 1 775 767 513 327 10 229 822 464 787 1 320 1 410 1 505 1 793 1 701 1 733 1 822 1 841 2 031 2 012 1 815 1 339 951 436 151 38 11 21 288 6 121 2 490 1 633 1 011 32 543 2 589 1 429 2 291 3 837 4 392 4 571 5 163 5 003 5 065 5 314 5 294 6 084 5 817 5 239 3 967 2 638 • 1 246 464 124 40 43 016 37 326 39 941 39 479 38 684 198 446 177 912 152 005 162 786 193 693 185 795 153 819 133 614 100 313 77 484 64 955 45 644 37 301 23 680 15 806 8 309 3 778 1 308 381 I 121 7 438 2 299 1 005 610 448 11 800 1 019 438 712 1 356 1 689 1 634 1 612 1 445 1 424 1 527 1 522 1 636 1 444 1 370 1 039 657 349 120 45 6 914 2 193 906 594 462 11 069 991 440 706 1 254 1 587 1 624 1 665 1 465 1 311 1 590 1 555 1 821 1 616 1 435 1 100 701 348 125 31 6 981 2 200 985 566 412 11 144 971 469 705 1 276 1 562 1 566 1 531 1 446 1 246 1 449 1 442 1 514 1 394 1 289 966 664 307 113 33 21 333 6 692 2 896 1 770 1 322 34 013 2 981 1 347 2 123 3 886 4 838 4 824 4 808 4 356 3 981 4 566 4 519 4 971 4 454 4 094 3 105 2 022 1 004 358 109 ADDITIONAL MORTALITY STATISTICS U SED IN DETERMINING THE NUMBER OF BIRTHS. CALENDAR YEAR. Males. Females. AGE INTERVALS OF ONE YEAR. AGE INTERVALS OF ONE YEAR. O-l 1-2 2-3 3-4 4-5 O-l 1-2 2-3 3-4 4-5 1903 1904 1905 1906 7 845 2 083 2 568 918 1 084 945 567 685 569 638 6 478 1 908 2 390 868 1 010 879 528 623 533 545 512 387 362 460 360 370 NUMBER OF BIRTHS REGISTERED. CALENDAR TEAR. 1909 1910 1911 1909-1911 CALENDAR YEAS. 1909 1910 1911 1909-1911 Male births 63 153 66 032 68 764 197 949 Female births. 59 822 63 048 65 780 188 650 476 Table 185 UNITED STATES LIFE TABLES. POPULATION AND MORTALITY STATISTICS UPON WHICH ARE BASED THE LIFE TABLES FOR THE CITY OF PHILADELPHIA. Unknown ages distributed. Age Interval. Estimated Population July 1, 1910. REPORTED DEATHS. Estimated Population July 1, 1900. REPORTED DEATHS. 1909 1910 1911 1 1909-1911 1900 1901 1902 [ 1900-1902 MALES: 1910. 1; MALES: 1901. 1 2 3 i 5 6 7 8 9 10 11 All ages. 763 107 12 976 14 255 13 895 41 126 635 541 14 139 12 200 12 297 38 636 Years. 0-1 1-2 2-3 3-4 4-5 0-4 5-9 10-14 15-19 20-24 25-29 30-34 35-39 40-44 45-49 50-54 55-59 60-64 65-69 70-74 75-79 80-84 85-89 90-94 95-99 100 and over 16 736 14 706 16 179 15 216 14 499 77 336 67 904 65 669 67 946 76 027 74 656 67 363 63 142 53 496 44 354 36 341 23 726 18 247 12 375 7 768 4 130 1 865 604 125 32 1 2 725 607 259 161 114 3 866 257 162 256 420 555 599 673 681 744 741 775 787 786 665 506 302 156 36 6 3 2 978 687 291 187 118 4 261 302 186 262 474 574' 624 772 809 840 870 792 861 841 705 523 351 143 47 14 4 2 651 610 298 177 143 3 879 312 156 294 466 517 614 825 752 838 914 851 862 842 702 527 315 175 46 8 8 354 1 904 848 526 375 12 006 871 504 812 1 360 1 646 1 837 2 270 2 242 2 422 2 525 2 418 2 510 2 469 2 072 1 556 968 474 129 28 7 14 142 12 425 13 328 13 233 13 083 66 211 63 396 55 205 52 658 62 008 65 083 59 350 52 758 43 834 32 939 27 017 19 052 14 749 9 550 6 348 3 369 1 436 435 106 I 37 3 240 831 431 249 205 4 956 465 225 275 461 581 664 718 682 733 731 699 685 676 616 463 318 142 38 11 2 307 592 240 171 139 3 449 337 199 291 512 623 585 668 695 653 678 663 710 632 580 460 301 119 32 13 2 324 615 257 204 130 3 530 321 166 295 526 610 653 718 673 667 644 650 662 676 570 462 311 113 41 9 7 871 2 038 928 624 474 11 935 1 123 590 861 1 499 1 814 1 902 2 104 2 050 2 053 2 053 2 012 2 057 1 984 1 766 1 385 930 374 111 33 FEMALES: 1910. FEMALES: 1901. All ages. 791 287 12 053 12 790 12 381 37 224 660 310 12 836 11 606 11 281 35 723 Years. 0-1 1-2 2-3 3-4 4-5 0-4 5-9 10-14 15-19 20-24 25-29 30-34 35-39 40-44 45-49 50-54 55-59 60-64 65-69 70-74 75-79 80-84 85-89 90-94 95-99 100 and over 16 322 14 580 15 853 15 229 14 379 76 363 67 737 66 082 74 314 82 960 76 305 66 854 64 021 53 446 44 044 37 010 25 042 21 003 14 770 10 541 6 130 3 133 1 157 293 63 19 2 267 518 220 142 111 3 258 255 190 284 432 482 463 574 565 563 625 610 796 738 748 634 477 241 96 16 6 2 357 630 261 143 133 3 524 283 159 265 430 519 531 565 575 575 675 694 792 814 795 667 491 289 118 22 7 2 119 541 232 180 130 3 202 280 142 240 494 477 524 616 519 560 680 633 789 838 781 691 506 275 101 27 6 6 743 1 689 713 465 374 9 984 818 491 789 1 356 1 478 1 518 1 755 1 659 1 698 1 980 1 937 2 377 2 390 2 324 1 992 1 474 805 315 65 19 13 995 12 286 13 063 13 214 12 943 65 501 62 569 55 168 57 601 70 151 69 227 58 598 52 106 41 821 32 719 27 887 20 574 17 296 12 231 8 499 4 799 2 374 861 247 1 " 2 595 674 348 228 193 4 038 445 183 284 485 565 536 617 529 528 550 562 712 708 738 578 431 237 84 26 1 856 569 231 185 131 2 972 351 163 312 505 543 572 608 575 492 559 563 703 665 682 570 433 220 91 27 1 964 557 255 172 137 3 085 283 186 283 483 537 553 578 478 514 530 528 592 664 667 535 439 220 79 47 6 415 1 800 834 585 461 10 095 1 079 532 879 1 473 1 645 1 661 1 803 1 582 1 534 1 639 1 653 2 007 2 037 2 087 1 683 1 303 677 254 100 ADDITIONAL MORTALITY STATISTICS USED IN DETERMINING THE NUMBER OF BIRTHS. CALENDAR YEAR. Males. Females. AGE INTERVALS OF ONE YEAR. AGE INTERVALS OF ONE YEAR. 0-1 1-2 2-3 3-4 4-5 O-l 1-2 2-3 3-4 4-5 1903 1904 1905 1906 2 652 603 646 309 271 220 172 197 115 166 2 134 582 527 276 224 205 184 175 118 171 161 101 109 135 112 128 NUMBER OF BIRTHS REGISTERED. CALENDAR YEAR. 1909 1910 1911 1909-1911 CALENDAR YEAR. 1909 1910 1911 1909-1911 19 232 19 653 20 478 59 363 Female births. 18 308 19 023 19 588 1 56 919 INDEX. a, constant in Wittstein's formula, section 117, p 348 log log a, equ ation (49), p. 349; equation (84), p. 's94. log log o, mean value of, section 119, p. 349; tapes 199, 200, p. 597. &x, life annuity due. See Life annuities, values of, for white males, p. 298, for white females, p. 812. A x , net single premiums. See Premiums, values of, for white males, p. 300. for white females, p. S14. Abridged life tables, construction of, footnote, p. 372. Absolute totals, section 128, p. 354; pp. 355, 356; pp. 358 to 360. Accumulated deviation of expected from actual deaths, p. 360. Actual deaths, deviation of expected deaths from, pp. 356, 360. Actual population, average death rates in, section 64, p. 42. comparison of, with those in stationary population, section 65, p. 43. Actuarial Society of America, p. IS; section 90, p. 224. Actuaries, life tables of service to, p. 13. construction of life table for males in the state of New York of interest to, section 13, p. 21. mathematical theory for information of, section 12, p. 20. parts of text designed for, section 1, p. 17. Adjusted deaths, section 136, p. 370; graph 136, p. 371. used in drawing graphs, table 129, p. 364. AP, symbol for Four French Offices Mortality Experience, 1819- 1887, section 90, p. 224. Age, advanced, Wittstein's formula modified for, section 117, p. 348. last, in life table, equation (56), p. 352. old, rates of mortality employed to determine constants in Wittstein's formula, section 119, p. 349. unknown, distribution of statistics of, section 277, p. 424. Age- axis, section 96, p. 329. distribution of stationary population, section 55, p. 40. group. See Quinquennial age groups. interval, defined, section 17, p. 25; column 1 of tables in Parts II and VIII. current, section 17, p. 25. of decedents varies with birth and registration intervals, sections 101 to 103, pp. 333, 334. of a population equals its birth interval, section 100, p. 833. older, section 17, p. 25. population in current, section 22, p. 27; column 6 of tables in Part II. See Stationary population, subdivisions of, under 1 month, table 129, p. 364. subdivisions of, under 1 year. See Months of age under 1 year. See Interval, limit of human life, section 84, p. 48; section 95, p. 329; sec- tion 117, p. 348. Aggregate of the dead who — died in same time interval and same age interval, diagram 10 and equation (12), p. 335. were born in same time interval, and who died in same age interval, diagram 8, p. 333; equation(9), p. 334. and who died in same time interval, diagram 9 and equa- tion (11), p. 334. Aggregate of those — living at same time, or population, section 100 and equa- tion (8), p. 333. birth and age intervals covered by, diagram 7, p. 333. surviving to same age, section 99 and equation (6), p. 332. birth and time intervals covered by, diagram 6, p. 332. Aggregate tables, section 92, p. 225. Aggregates: relation between, of the living and of the dead, section 104, p. 335; diagram 12 and equations (14) and (18), p. 336. statistical, Pf ,x ', section 100, p. 333. T>%i%, section 103, p. 334. expression of rate of mortality in terms of, section 105, p. 336; equation (24), p. 338. Aggregates of the dead. See Aggregate of the dead who — . type one, section 101, p. 833. type two, section 102, p. 334. type three, section 103, p. 334. in terms of aggregates of the living and force of mortality, equations (20), (21), p. 337. integration to determine number in, diagram 11, p. 335. Alexander, Joshua W., p. 13. a =r" lm (r-l)/\r, equation (77), p. 354. Alternative Demonstration of the Formula for Oscillatory Interpola- tion, footnote, p. 344. AM l6> , symbol for a life table in the American-Canadian Mortality Investigation, 1900-1915, relating to American men, section 90, p. 224. American-Canadian Mortality Tables, AM (b : annual rate of mortality in, p. 226. compared, section 78, p. 46. graph of, p. 253. complete expectation of life in, p. 282. compared, section 81, p. 47. graph of, p. 283. thsm, out of 79,1! deaths in, out of 79,116 alive at age 20, number of, p. 230. compared, section 80, p. 47. graph of, p. 273. out of number alive by original radix, number of, p. 238. description of, section 75, p. 45; section 90, p. 224- measure of vitality in, p. 234- compared, section 82, p. 47. computed in the Bureau of the Census, footnote, p. 225. graph of, p. 293. mortality functions shown for, section 91, p. 225. graphs of, section 77, p. 46. original radix of, section 91, p. 225. recent investigation, section 75, p. 45. survivors in, out of 79,116 alive at age 20, number of, p. 228. compared, section 79, p. 46. graph of, p. 263. out of number alive by original radix, number of, p. 236. symbol for, AM (5> , meaning of, section 90, p. 224- American Experience Mortality Tables: annual rate of mortality in, p. 226. compared, section 78, p. 46. graph of, p. 253. complete expectation of life in, p. 232 . compared, section 81, p. 47. graph of, p. 283. deaths m, out of 79 ; 116 alive at age 20, number of, p. 230. compared, section 80, p. 47. graph of, p. 273. out of number alive by original radix, number of, p. 238. description of, section 90, p. 224 employed by courts and many insurance companies in the United States, section 11, p. 20; section 75, p. 45; section 93, p. 297. measure of vitality in, p. 234- compared, section 82, p. 47. computed in the Bureau of the Census, footnote, p. 225. graph of, p. 293. mortality functions shown for, section 91, p. 225. graphs of, section 77, p. 46. original radix of, section 91, p. 225. survivors in, out of 79,116 alive at age 20, number of, p. 228. compared, section 79, p. 46. graph of, p. 263. out of number alive by original radix, number of, p. 236. American Institute of Actuaries, section 90, p. 224- American Statistical Association, Quarterly Publications of, foot- notes, pp. 344, 358, 362. American Offices Life Tables, Thirty, section 75, p. 45. annual rate of mortality in, p. 226. compared, section 78, p. 46. complete expectation of life in, p. 232. deaths in, out of 79,116 alive at age 20, number of, p. 280. out of number alive by original radix, number of, p. 238. description of, section 90, p. 224- measure of vitality in, p. 234- computed in the Bureau of the Census, footnote, p. 225. mortality functions shown for, section 91, p. 225. original radix of, section 91, p. 225. survivors in, out of 79,116 alive at age 20, number of, p. 228. compared, section 79, p. 46. out of number alive by original radix, number of, p. 236. Annexe au Neuvieme Recensement Decennal du Royaume des Pays-Bas, footnote, p. 203. Annual — death rate, average. See Death rate, average annual, per thousand, net premiums, lOOOPz, pp. 300, 314- See Premiums, rates of mortality under 1 year, section 30, p. SO. 477 478 INDEX. Annuities^ section 11, p. 20; section 94, p. 297. Sie Life annuities. Antilogarithms, tape 139, p. 573; tapes 204, 205, p. 397; tape264, p. 409. Assumptions made — to determine constants — for oscillatory interpolation curves of fifth degree, equa- tions (36), (37), p. 344. in mean population, equation (68), p. 353. in modified Lagrange formula for central death rate, equa- tion (63), p. 352. to fill in statistics which were lacking, section 276, p. 424 ■ to obtain equations for rate of mortality in terms of statistical aggregates, equation (23), p. 338. Australia, p. IS. annual rate of mortality in, pp. 204 to 207. compared with those in other countries, section 9, p. 19; section 41, p. 34; section 70, p. 44. graphs of, pp. 250, 251. significant regularities in, section 36, p. 33. variation in, with age, section 38, p. 34. complete expectation of life in, pp. 216 to 219. at birth, section 49, p. 38. compared, section 53, p. 39;. section 73, p. 45. graphs of, pp. 280, 281. deaths in, out of 100,000 born alive, number of, pp. 212 to 215. compared, section 72, p. 45. graphs of, pp. 270, 271. measure of vitality in, pp. 220 to 223. compared, section 74, p. 45. computed in the Bureau of the Census, footnote, p. 203. graphs of, pp. 290, 291. maximum, is greatest of countries shown, section 60, p. 41. mortality functions shown for, section 69, p. 44; section 88, p. 203. epoch of, section 87, p. 203. graphs of, section 88, p. 203. Southern Hemisphere represented by, section 9, p. 19. survivors in, out of 100,000 born alive, number of, pp. 208 to 211. compared, section 71, p. 44. graphs of, pp. 260, 261. variations m form of curve of, section 46, p. 37. Australian Life Table, 1901-1910, footnote, p. 203. Average — annual death rate per thousand. See Death rate, average annual, per thousand, group, defined, section 129 and table 122, p. 357. See Group, average, of ratios for testing quinquennial age groups, p. 363. of val ues of — -log log a, tape 199, p. 397. See tape 198, p. 397. n, tape 201, p. 397. See tape 196, p. S9b. rates of mortality, tape 186, p. 393. at older ages used for both sexes life tables, footnote, p. 417. Barlow's Table of Reciprocals, section 247, p. 406. Base line, defined, section 45, p. 36. curve for same sex on same side of, section 45, p. 36. Bauschinger and Peters Logarithm Tables, section 189, p. 394. Becker, footnote, p. 329. 0=[r 7 / 12O (r-l)/Xr-l]/(r U8 - 6 / 12O -l), equation (76), p. S54. Birth- interval. See Interval. registration statistics employed, section 12, p. 20; section 110, p. 342. not available for construction of most of the life tables in this volume, section 99, p. 333; section 106, p. 338. Births, number of: calculation of: mortality statistics used in, section 275, p. 423. See Addi- tional Mortality Statistics, pp. 428 to 476. population used in, section 110, p. 842. theory of, section 106, p. 338; section 109, p. 340. computation of, for males in the state of New York, 1909, 1910, 1911, table 110, p. 342; diagrams 140, 141, and tape 142, p. 373. determination of population used in, tapes 137 to 139, p. 373. computed, and, registered, section 279, p. 425. equation for, in interval (t u t 2 ), equation (7), p. 332. questions and answers concerning, section 86, p. 49. Born alive, out of 100,000 children: number alive at beginning of age interval, section 18, p. 25; column 2 of tables in Part II. See Survivors, number dying in age interval, section 19, p. 26; column 3 of tables in Part II. See Deaths out of 100,000 born alive. Boston, section 2, p. 17. average death rate of total population at birth in, section 63, p. 42. birth registration statistics employed in life tables for, section 12, p. 20; section 110, p. 342; section 279, p. 425. births in, number of: computed, and, registered, p. 425. estimated by sex in 1911, section 276, p. 424- deaths in, by days and weeks under 1 month of age, used in drawing infant mortality graphs for cities, table 129, p. 364; p. 365. life tables for, pp. 168 to 175. tabular outline for construction of, p. 418. maximum measure of vitality lowest in, section 60, p. 41. original statistics for life tables for, p. 473. belong to tvpe VII, section 275, p. 424. Both sexes in the original registration states, section 2, p. 17. annual rate of mortality for, 1910, section 28, p. 29. at older ages, footnote, p. 417. graph of, p. 243. questions and answers concerning, section 28, p. 29. life tables for, pp. 52 to 55. tabular outline for construction of, p. 416. only two tables including, given, section 2, p.i7. original statistics for, section 276, p. 424- British Offices Life Tables, 1863-1893, section 75, p. 45. annual rate of mortality in, p. 226. compared, section 78, p. 46. graph of, p. 253. based on whole life participating insurance on men, section 90, p. 224. complete expectation of life in, p. 232. compared, section 81, p. 47. graph of, p. 283. deaths m, out of 79,116 alive at age 20, number of, p. 230. graph of, p. 273. out of number alive by original radix, number of, p. 238. description of, section 90, p. 224- measure of vitality in, p. 234. compared, section 82, p. 47. computed in the Bureau of the Census, footnote, p. 225. graph of, p. 293. mortality functions shown for, section 91, p. 225. graphs of, section 77, p. 46. original radix of, section 91, p. 225. most recent mortality investigation in Great Britain, section 75, p. 45. survivors in, out of 79,116 alive at age 20, number of, p. 228. compared, section 79, p. 46. graph of, p. 263. out of number alive by original radix, number of, p. 236. symbol for, M ( 5 ), meaning of, section 77, p. 46; section 90, p. 224. Buchanan, James, footnote, p. 344. Bulletins 109 and 122. See Bureau ot the Census. Bureau of the Census, p. 13. computations of life table functions made in, for — foreign countries, footnote, p. 203. life insurance mortality tables, footnote, p. 225. mortality statistics by months in Bulletin 109 of, footnotes, p. 340. original statistics — for life tables furnished by, section 15, p. 21; section 95, p. 829. of annexations given in Bulletin 122 of, section 280, p. 426. second official publication on life tables by, section 1, p. 17. urban and rural defined by, section 280, p. 426. c x , equation (31), p. 344. C designates that computed number of births were used in construc- tion of life table, column 3, pp. 416, 418. Cx, commutation column, pp. 802 to 311; pp. 316 to 325. Cabinet Imperial, Bureau de la Statistique Generate, Table de Mortalite des Japonais, footnote, p. 203. Calculations to illustrate — computation of number of births, section 106, p. 338; section 109, p. 340. See Births, factors used in, table 109, p. 840. See also Percentage. INDEX. 479 Calculations to illustrate — Continued, process of computing — annual rates of mortality by single years under 5, section 111, p. 342; table 111, p. 343. monthly rates of mortality under 1 year, section 112 and table 112, p. 343. special process used — to determine mean population, 1901-1910, tapes 264 to 274, pp. 411, 412, 414. See Whites in original registra- tion states, mean populations for. to join infant mortality curve with that by osculatory inter- polation, tapes 250 to 263, p. 409. standard process of construction of the life table, graph 136, p. S71; pp. 373, 377, SSI, 384, S85, 387, 389, 391, 393, 397, 399, 403, 405, 407; sections 237 to 239, p. 406; sections 244 to 249, pp. 406 and 408. descriptive text and photographed tapes used in, section 133, p. 369. involves more than one hundred steps, section 13, p. 21. life table for males in the state of New York, 1910, selected as typical table for, section 125, page 352. operations in, not represented by tapes, diagrams, or graphs, footnote, p. 10. questions and answers concerning, section 85, p. 48. Canada, section 90, p. 224. Carlisle Life Table, section 11, p. 20; section 93, p. 297. Census. See also Bureau of the Census. difference between mortality tables derived from experience of insurance companies and that from, statistics, section 76, p. 46; section 92, p. 225. United States, section 100, p. 333. Report of the Thirteenth, of the, section 280, p. 426. Central — death rate. See Death rate, term of a series of — 15 terms, graduated, section 118, p. 349; equation (45), p. 349. 21 terms, graduated, equation (50), p. 350. Checks on calculation: equations for, (83), p. 390; (86), p. 400; (87) and (88), p. 404. symbols used to indicate, section 138, p. 371. Chicago, section 2, p. 17. average death rate of total population at birth in, section 63. p. 42. births in, computed number of, p. 425. deaths in, by days and weeks under 1 month of age used in drawing infant mortality graphs for cities, sec- tion 132, pp. 364, 865. life tables for, pp. 176 to 188. tabular outline for construction of, p. 418. original statistics for life tables for, p. 474. belong to type VII, section 275, p. 424- Circle inclosing number, section 138, p. 871. See Checks on calculations. Cities of the original registration states, whites in, section 2, p. 17. additional mortality statistics used in drawing graphs of life table functions for, section 132, pp. 864, 365. age at which generation is reduced by one-half among, section 42, p. 35. births among, computed number of, p. 425. complete expectation of life among: change m, between 1901 and 1910, section 52, p. 39. compared with that in rural districts and in foreign coun- tries, section 53, p. 39. graphs of, compared with that in rural districts in 1910, p. 279. graphs of, 1901 and 1910, p. 276. deaths among, out of 100,000 born alive, graphs of number of: compared with that in rural districts in 1910, p. 269. in 1901 and in 1910 compared, p. 266. determination of population to agree with reported deaths among, section 280, p. 426. life tables for, pp. 104 to 111. compared with those in rural part by means of graphs, section 8, p. 19. tabular outline for construction of, p. 416. meaning of, as used in the life tables, section 280, p. 426; note, pp. 104to 111. measure of vitality among: . . graphs of, compared with that in rural districts in 1910, graphs of, 190l'and 1910, p. 286. monthly, section 62, p. 42. Cities of the original registration states, whites in — Continued, original statistics for: 1910, pp. 438, 439. 1901, p. 462. belong to type I and type III, respectively, section 275, p. 423. rates of mortality among: calculation of, for females, 1901, used to illustrate process of joining infant mortality curves with osculatory fifth difference curves,- section 134, p. 369; tapes 250 to 263, p. 409. change in, for males, section 32, p. 31. change in, for females, section 34, p. 32. compared with that in rural districts, section 35, p. S3. graphs of, compared with that in rural districts in 1910, p. 249. graphs of, 1901 and 1910, p. 246. survivors among, number of : diagram of, showing deviation from the mean, section 45, p. 36. graphs of, compared with that in rural districts in 1910, p. 259. graphs of, 1901 and 1910, p. 256. Closed area, number of deaths in, diagram 5, p. 832. Colored races. See India, Japan, Negroes. Columns of life tables, fundamental, explained, sections 17 and 18, p. 25. derived, explained, sections 19 to 26, pp. 26 to 29. Common ordinate, radius of curvature, and tangent, section 113, p. 344; section 116, p. 348. See Assumptions for osculatory interpolation curves. Commutation columns, section 11, p. 20. based on life tables for whites in the original registration states, 1910, section 11, p. 20; section 94, p. 297. for calculation of values on single lives, section 94, p. 297. questions and answers concerning, section 83, p. 47. values of: for males, pp. 302 to 311. for females, pp. 816 to 325. Comparative Accuracy of Different Forms of Quinquennial Age Groups, The, footnote, p. 362. Complement of subtrahend used in subtraction, section 138, p. 370. Complete expectation of life, p. IS. age at which maximum, occurs, section 50, p. 38. among insured lives, p. 232. questions and answers concerning, section 81, p. 47. at any age compared with population in current and all older age intervals, section 56, p. 40. at birth, section 49, p. 37. at older ages, section 53, p. 39; section 124, p. 352. by months under 1 year of age, diagram D, pp. 274 to 277, 279. See infant mortality of tables in Part II. description of diagram D in the graphs of, section 51, p. S8. calculation of, from age 80 to end of life, section 124, p. 852. change in, between 1901 and 1910, section 52, p. 38. comparison of, in different classes, section 53, p. 39. computed for — males in the state of New York, 1910, sections 243, 246, p. 406. some of the foreign and insurance life tables, footnotes, pp. 203, 225. equation for, (57), p. 352. explanation of, section 21, p. 26. graphs of, pp. 2 74 to 283. greater for females than for males, section 53, p. 39. in foreign countries, pp. 216 to 219. questions and answers concerning, section 73, p. 45. maximum, section 50, p. 38. questions and answers concerning, sections 49 to 53, pp. 37 to 39. symbol for, e x - See heading of column 5 in tables of Part II. variation in, section 51, p. 38. with average death rate, section 67, p. 43. Computing machine, section 123, p. 351. Connecticut, section 2, p. 17. Connection between flow of a population and time and age, dia- gram 1, p. 329. Constants in — fifth difference osculatory interpolation formula, section 113, p. 345. modified Lagrange formula for central death rate: general equation for, (64), p. 352. specific equation for, (89), p. 408. 480 INDEX. Constants in — Continued. Spencer's 21-term formula, equation (50), p. 350. Waters's formula for mean population, equations (70), (71), p. 353; (76), (77), p. 354. Wittstein's formula: general equation for, (43), p. 348. specific equations for, (48), (49), p. 349; (84), (85), pp. 394, 396. Construction — of a life table: abridged, footnote, p. 372. detailed, section 13, p. 21; Part VII. divided into three main sections, section 95, p. 329. mathematical theory of, p. 13; section 12, p. 20; Part VI. questions and answers concerning, section 84, p. 48. special processes used in, section 14, p. 21; sections 125 to 127, pp. -352, 353; tapes 250 to 274, pp. 409, 412, 414. two important theorems used in, section 98, p. 331. variations from standard, section 14, p. 21. of each life table, extra information needed for, section 14, p. 21; section 135, p. 369; pp. 416 to 419. Continuous addition, interpolation by, sections 154 to 168, pp. 316 to 386. Correction, determination of fifth difference, section 115, p. 346. Countries. See Foreign countries. See also Detailed Table of Con- tents, p. 5. Crelle's Rechentafeln, sections 207, 208, p. 398. Current — age interval, defined, section 17, p. 25. time, section 96, p. 329. Czuber, footnote, p. 329. d x , defined, section 19, p. 26. See Deaths out of 100,000 born alive, symbol for. d™ , section 124, p. 351 . See Deaths out of 100,000 born alive, by months, symbol for. D x ,commutation column, pp. 302 to 311, 316 to 325. D a$c>> definition of, section 101, p. 388; equations (9), (10), p. 834. D 2 % definition of, section 102, and equation (11), p. 834. Dj'fe, definition of, section 103, p. 884; equation (12), p. 335. 'D'jlXv special case °f> equation (13), p. 835. D„, D/3, By, Da, diagram 12, p. 836. T>P, section 124, p. 351. Danmark, Statistisk Tabelvaerk, footnote, p. 203. Davis, Dr. William H., p. 13. Dead, aggregate of the. See Aggregate of the dead. Death rate: average annual, per thousand: calculation of, for males in the state of New York, 1910, section 247, p. 406. change in, with age, section 68, p. 43. comparison of, in actual with that in stationary population, section 65, p. . determination of, for sections of stationary population, section 26, p. 29; section 66, p. 43. equation for, (59), p. 352. explanation of, section 25, p. 28. greater change in, at birth in cities than in states, section 63, p. 42. in actual population, section 64, p. 42. in various cities, states, and areas. See under name of same, of total population at birth, section 63, p. 42. variation of, with expectation of life, section 67, p. 43. central, definition of, equation (24), p. 338. equation for, based on Lagrange's theorem, equation (60), p. 352. expected deaths obtained by use of, section 263, p. 410. rate of mortality in terms of, equation (24), p. 838; equa- tion (91), p. 410. symbol for, m x , equation (24), p. 838. transformation of equation for, to shorten work, equations (61), (62), p. 352. Death statistics, section 275, p. 423. See Original statistics. Deaths, annual, belong to two generations, section 54, p. 39. between ages x—g(t) and x=h(t) of those born in the interval (ti,t 2 ), equation (5), p. 332. D eaths — Continued . by days, table 129, p. 364; equation (27), p. 340. months, equation (25), p. 340. See Montlis. single years of age under 5, used in determining number of births, types I to VII, section 275, p. 423. weeks, table 129, p. 364; equation (26), p. 340. deviation of expected, from actual, a test for conformity to original statistics, section 128, p. 355. among whites in the original registration states, 1910, p. 356. variation of, according to quinquennial age group, p. 360. distribution of, of unknown age and unknown nativity, section 277, p. 424. equation for graduated number of, at central age of a series of fifteen ages, equation (47), p. 349. modified to simplify calculations, equation (82), p. 890. expected, method of computing number of, section 128, p. 356. equal to actual, condition for modified Lagrange formula, equation (63), p. 352. number of, in closed area, diagram 5, p. 332. total, upon which life tables were based. See headings of tables in Part II. Deaths — out of 79,116 alive at age 20 among insured lives, number of, p. 230. graphs of, p. 273. out of number alive by original radix of each table, number of, p. 238. Deaths out of 100,000 born alive, number of: by months under 1 year, diagram D, pp. 264 to 269. See Infant mortality tables, symbol for, d™ , equations (54), (55), (58), pp. 851, 352. derivation of, from number of survivors in table 56, sections 238, 240, p. 406. explanation of, section 19, p. 26. graphs of, pp. 264 to 272. incidence of, section 47, p. 37. in foreign countries, section 72, p. 44; pp. 212 to 215. maximum, after infancy, section 72, p. 45. symbol for, between ages x and x+l years, d x , section 19, p. 26. See column 3 of tables in Part II. variation of, with number of survivors and rate of mortality, section 48, p. 37. Deaths among males in the state of New York, reported number of, 1909-1911, p. 450. adjustment of, by months under 1 year of age, section 136, p. 570; graph 136, p. 871. arranged graphically as first step in determining number of births, diagram 15, p. 338; diagram 140, p. 373. distribution of, according to year of birth, diagram 17, p. 84 1; diagram 141, p. 873. factors in table 109 applied to, in diagram 15, diagram 17, p. 841. graduation of, by formula for graduated central term of a series of fifteen values of a function, tapes 174 to 180, pp. 389, 391. graduation and interpolation of, by oscillatory fifth difference formula, tapes 147 to 153, pp. 373, 377; tapes 162 to 168, pp. 385,_ 387. graphic representation of, diagram 15, p. 888. used in determining the number of births, table 106, p. 388; p. 450. Decedents, percentage of, born in earlier and later calendar year. See Percentage of decedents born in. Decimal point indicated by vertical lines, section 138, p. 370. Definition of — d x , lx> Ljb, in terms of aggregates of the living and of the dead, section 123, p. 351. life table functions, sections 17 to 25, pp. 25 to 29. urban and rural, section 280, p. 426. See Equations, defining. Degree, osculatory interpolation curve of the fifth, equation (38), p. 345. derivation of formula for, section 113, p. 344- notation of, adapted to succession of y x curves, equation (39), p. 345. u x and v x of the fourth, equations (32), (33), p. 344. equation (17), p. 336. Sx/x+i, sect ion 105, p. 357. 6jf ( 2 > table 112, p. 343. A, finite unit difference, section 97, p. SSI; sections 113 to 115, pp. 344 to S46. finite differences of quinquennial intervals, sections 116, 118, pp. 347, 349. difference between population at same age at different periods, section 127, equation (72), p. 353; tape 271, p. 412. Denmark : annual rate of mortality in, pp. 204 to 207. compared, section 70, p. 44. complete expectation of life in, pp. 216 to 219. compared, section 73, p. 45. deaths in, out of 100,000 born alive, number of, pp. 212 to 2 15. compared, section 72, p. 45. measure of vitality in, pp. 220 to 223. compared, section 74, p. 45. computed in the Bureau of the Census, footnote, p. 203. mortality functions shown for, section 69, p. 44; section 88, p. 203. epoch of, section 87, p. 203. Statistisk Tabelvaerk, footnote, p. 203. survivors in, out of 100,000 born alive, number of, pp. 208to2U. compared, section 71, p. 44- Derivation of — coefficients for corrected unit fifth differences in osculatory in- terpolation formula, table 114, p. 347. leading fractional differences in terms of leading integral dif- ferences, table 113, p. 346. operand in Spencer's 21-term formula, table 134, p. 398. osculatory fifth difference formula, section 113, p. 344. Derivation of the United States Mortality Tables by Osculatory Inter- polation, footnote, p. 844- Derived mortality functions. See Mortality functions. Descriptive text and photographs of tapes, section 133, p. 369. Deutschen Reichs, Statistik des, section 107, p. 339; footnote, pp. 203, 839. Deviation — from mean — in graphs of complete expectation of life, diagram C, pp. 274, 276, 277, and 279. in graphs of measure of vitality, pp. 284 to 289. in graphs of survivors, section 45, p. 86; diagram C, pp. $54 to 259. of expected from actual deaths. See Deaths, deviation of. accumulated, p. 360. of rates of mortality for each quinquennial age group from those for the average group in table 122, table 123, p. 358. weighted squared, of graduated from observed rates of mortality in table 122, table 126, p. 361. Diagonal lines, used to indicate current time, the z lines, section 96, p. 329. Diagram of — annual rates of mortality by months under 1 year, diagram D, pp. 244 to 249. method of computing values for, section 132, p. 364. questions and answers concerning, section 30, p. SO. complete expectation of life by months under 1 year, diagram D, pp. 274 to 277, 279. described, section 51, p. 38. deaths out of 100,000 born alive, by months under 1 year, number of, diagram D, pp. 264 to 269. measure of vitality by months under 1 year, diagram D, pp. 284 to 289. questions and answers concerning, section 62, p. 42. monthly rates of mortality under 1 year, diagram D, pp. 244 to 2W- , , -, survivors out of 100,000 born alive, by months under 1 year, number of, diagram D, pp. 254 to 259. questions and answers concerning, section 44, p. 36. A, B, C, and D in graphs of rates of mortality, pp. 244 to 253. description of scales for, section 29, p. 30. in Part VI, p. 7. in Part VII, diagrams 140, 141, p. 373; diagram 156, p. 377; diagram 158, p. 382. Difference, determination of fifth, correction, section 115, p 346. fourth, interpolation curves employed at beginning and end of fifth, osculatory interpolation, section 116, p. 347. Differences — between corresponding values in tapes 269 and 270, tape 271, p. 412. equation for leading unit, of m a in deriving m x by modified Lagrange formula, general, equation (65), p. 353. specific, equation (90), p. 410. 150822°— 21 31 Differences — Continued . leading fractional, in terms of leading integral, section 114, p. 345; equation (40), p. 346; equation (41), p. 347. See Quinquennial differences. See Unit differences, second, of rates of mortality to determine character of break at point of junction, tape 228, p. 405. third, of rates of mortality among whites in the original regis- tration states in 1910, p. 355. of graduated rates of mortality in table 122, table 124, p. 359. Differencing — l x in column 2 of table 56 to obtain d x in column 3, section 238, p. 406. original statistics grouped in quinquennial age groups is — second step in fifth difference osculatory interpolation, tapes 148 to 152, pp. 373, 377. second step in graduation by 15-term formula, tapes 175 to 178, pp.339, 391. Differential equations of first order and degree, linear, section 105, and equation (19), p. 337. Director of the Census, p. 13. Distribution of — deaths of — unknown age, methods of, section 277, p. 4%4. unknown nativity, section 277, p. 424. populations — aged 100 years and over, tape 265, p. 409; section 276, p. 424. of unknown age, tapes 267 to 270, p. 412. District of Columbia. See Negroes in. number of births among colored registered in, p. 425. Dying. See Deaths. e, Naperian base for logarithms, section 105, p. 336. time between the taking of two censuses, section 127, p. 853. e x , defined, section 21, p. 26. See also Complete expectation of life. E^ /(2 , defined, equation (6) and section 99, p. 332; diagram 12, p. 336; diagram 14, p. 337. E'i/'i, special case of, equation (7), p. 332. Effect of Grouping in Graduation by Osculatory Interpolation, foot- note, p. 358. England: annual rate of mortality in, pp. 204 to 207. . compared with those in other countries, section 9, p. 19; section 41, p. 34; section 70, p. 44. graphs of, pp. 250, 251. significant irregularity in, section 36, p. 33. variation in, with age, section 38, p. 84- census of, and Wales, 1911, footnote, p. 364. complete expectation of life in, pp. 216 to 219. compared with that of whites in cities of the original registration states, section 53, p. 39. graphs of, pp. 280, 281. deaths in, out of 100,000 born alive, number of, pp. 212 to 215. graphs of, pp. 270, 271. description of mortality tables based on experience of life insurance companies in, section 90, p. 224. measure of vitality in, pp. 220 to 223. compared, section 74, p. 45. computed in the Bureau of the Census, footnote, p. 203. graphs of, pp. 290, 291. mortality functions shown for, section 69, p. 44; section 88, p. 203. epoch of, section 69, p. 44: section 87, p. 203. graphs of, section 88, p. 203. survivors in, out of 100,000 born alive, number of, pp. 208 to 211. graphs of, pp. 260, 261. variations in form of curve of, section 46, p. 37. English Life Tables, section 93, p. 297. No. 8, section 41, p. 34; section 131, p. 364- Equations, defining — D' ,/ ,' 8 =E' 1 " ! -EW' 8 , type one aggregate of the dead, equation (10), p. 33 rjW^=p^/ 2 i- ( i_p^ ( !/^ 7 type two aggregate of the dead, equa- ■2l tion (11), p. 334. D i;/ft =E ir i/z '" I,_p ^ l2_E ?.~ a:j, " :! " I2 + p z; /l2 ' t yp ethreea gg re s ate of the dead, equation (12), p. 335. hlx+i^t +£ -Pf +{ , equation (17), p. 336. ' ^ ,x ' =f(t,x), rate at which persons born at time t survive to age x, equation (2), p. 331. 4.82 INDEX. Equations, defining — Continued. „ ' =

9. used to indicate junction points in a series of numbers made up of several others, tape 206, p. 897; tape 228, p. 405. to designate graphs of the functions of insurance mortality tables, section 77, p. 46. vertical, used to indicate age, the x lines, section 96, p. 329. Living at same time. See Population. m=(r'lu-rtlu)l( r ilu-i) t equation (71), p. 353. m x , central death rate, equation (24), p. 338; equation (60), p. 352. M, oldest age of life, section 117, p. 348. sum of deaths to age x, equation (63), p. 352. M. x , commutation column, pp. 302 to 311; pp. 816 to 825. "MlS symbol for Seventeen Swedish Offices Life Tables, section 90, p. 225. M "1 °M/> ratios defined at beginning of table 127, p. 362. Vr'fi averaged ratios defined, section 130, p. 364. Makeham's formula, section 94, p. 297. Males: complete expectation of life for: change in, between 1901 and 1910 compared with that for females, section 52, p. 38. less favorable than for females, section 7, p. 18; section 49, p. 38; section 73, p. 45. life table functions for, compared with those for females. See pages 204 to 223, 250, 251, 260, 261, 270, 271, 280,281,290,291. measure of vitality for: changes in, compared with those for females, section 61, p. 41. monthly, compared with that for females, section 62, p. 42. rates of mortality for: at age 25, compared with those for females, section 31, p. 30. comparison of change in, with that for females, section 34, p. 32. higher than for females, section 37, p. S3. irregularities in, more pronounced than for females, section 36, p. 33. monthly, compared with those for females, section 33, p. 32. survivors among, out of 100,000 born alive, number of: curves of, in diagram of deviation from the mean compared with those for females, section 45, p. 87. Massachusetts, section 2, p. 17; section 12, p. 20; section 29, p. SO. annual rate of mortality in : changes in, from 1890 to 1901 compared with those from 1901 to 1910, section 40, p. 34. characteristic changes in, among males, section 32, p. 31. comparison of change in, among males and among females, section 34, p. 32. graphs of, p. 252. lower among women than among men, section 37, p. 34- average death rate of total population at birth in, section 63, p. 42. change in, section 63, p. 42. birth registration statistics employed in 1901 and 1910 life tables for, section 12, p. 20; section 110, p. 342; section 279, p. 425. births in, in census year of 1890, assumptions made to compute number of, section 110, p. 342; section 276, p. 4%. computed number of, and number of, registered, section 279, p. 425. complete expectation of life in: change in, between 1901 and 1910 and between 1890 and 1901, section 52, p. 39. graphs of, p. 282. deaths in, out of 100,000 born alive, number of: graphs of, p. 272. Massachusetts — Continued. £=Dj' !) /Do££ A , percentage factor for deaths under 1 month. for 1910 in, section 124, p. S51. life tables for, pp. 182 to 143. only part of the United States represented in 1890, section 2, p. 17; section 40, p. 34. tabular outline for construction of, p. 418. measure of vitality in: change in maximum of, between 1890, 1901, and 1901, 1910, section 61, p. 41. graphs of, p. 292. original statistics for: 1910, pp. 444, 445. 1901, p. 471. census year ended May 31, 1890, p. 470. See footnote, census year ended May 31, 1890, under 1 year of age differ materially from those given in State Reports, note in tables, pp. 132 and 138. belong to types I and VI, respectively, section 275, p. 423. survivors in, out of 100,000 born alive, number of: curves of, for the same sex at different periods, section 45, p. 36. graphs of, p. 262. Mean, deviation from, section 45, p. 36. graphs of, diagram C, pp. 254 to 259, 274, 276,277,279, 284to289. Mean — population, determination of, section 127, p. 353. computation of, for white females in the original regis- tration states, 1901-1910, sections 264 to 274, pp. 410 to 414. specific equations for, of period 1901-1910, (76), (77), p. 354. values, section 105, p. 387. See Average of values. Measure of vitality, defined, section 23, p. 27. among insured lives, p. 234- computed in the Bureau of the Census, footnote, p. 225. questions and answers concerning, section 82, p. 47. calculation of, by single years under 5 and by months under 1 year, section 124, p. 352. change in maximum of, section 61, p. 41- deviation from mean of, section 45, p. 36; diagram C, pp. 284 to 289. equations for, (58), p. 352. See heading of column 7 in tables of Part II. graphs of, pp. 284 to 293. in foreign countries, pp. 220 to 223. computed in the Bureau of the Census, footnote, p. 203. questions and answers concerning, section 74, p. 45. maximum values and irregularities in, section 60, p. 41. meaning of , section 58, p. 40. monthly, section 62, p. 42, diagram D, pp. 284 to 289. See infant mortality, column 7 of tables in Part II. equation for, (58), p. 352. questions and answers concerning, section 62, p. 42. symbol for, X< u >, equation (58), p. 352. questions and answers concerning, sections 58 to 62, pp. 40, 42. relation between, and rate of mortality, section, 59, p. 41. symbol for, X x , equation (58), p. 352. Medical selection, section 10, p. 20; section 76, p. 46; section 92 p. 225. Meech, Levi W., section 90, p. 224. Methods employed in computing rate of mortality for life tables, summary of, section 122, p. 350. Metropolitan life Insurance Company, section 90, p. 225. Michigan, section 2, p. 17. births in, computed number of, and number of, registered, section 279, p. 425. life tables for, pp. 144 to 151. tabular outline for construction of, p. 418. maximum value of measure of vitality, 1901, section 60, p. 41. increase in, between 1901 and 1910, section 61, p. 41. monthly rates of mortality in, section 33, p. 32. original statistics for: 1910, pp. 446, 447. 1901, p. 471. belong to types I and VI, section 275, p. 423. Moir, Henry, p. 13. Monetary values. See Part V. based on one life, section 94, p. 297. calculation of, based on multiple lives facilitated by life tables graduated to Makeham's formula, section 94, p. 297. questions and answers concerning, section 83, p. 47. INDEX. 487 section 112, p. 343; Monthly — measure of vitality, section 62, p. 42. See Measure of vitality, rate of mortality, section 33, p. SI. calculation of, under 1 year, section 112, p. S43; tapes 144, 145, 146, p. 373. determination of population used in calculation of, sections 137 to 139, pp. 370, 371; tapes 137 to 139, p. 373. symbol for q™ , table 112, p. S4S. See Infant mortality. See Months of age. See Rate of mortality, monthly. Months of age Under 1 year: adjustment of reported deaths by, section 136, p. 370. average annual death rate by. See infant mortality, column 9 of tables of Part II. complete expectation of life by. See infant mortality, column 5 of tables of Part II, and diagram D, pp. 274 to 277, 279. deaths by, number of. See infant mortality, column 3 of tables of Part II ; diagram D, pp. 264 to 269. greatest number of, during first month, section 19, p. 26. division of elementary parallelogram into, diagram 16, p. 339 . exposed to risk of death by, number of persons, Ez . section 112, p. 343. reported deaths by, number of, D™ pp. 4%8 to 469. stationary population by, in current age interval. See infant mortality, column 6 of tables of Part II. stationary population by, in current and all older age intervals. See infant mortality, column 8 of tables of Part II. survivors by, number of. See infant mortality, column 2 of tables of Part II; diagram D, pp. 254 to 259. Months of age in second year of life, deaths by, table 129, p. 364- p. 365. Mortality — experience of insurance companies, section 8, p. 19; section 10, p. 20; section 90,, p. 224. functions — by single years under 5. . See Five, single years under, calculation of derived, section, 123, p. 350. difference between, derived from experience of life insur- ance companies and those derived from census statistics, section 10,. p. 20; section 76, p. 46; section 92, p. 225. shown for tables of insurance companies, section 91, p. 225. improvement in, conditions under age 50, 1901-1910, p. 13; section 7, p. 18. no signs of, conditions after age 50, p. 13, section 7, p. 19. infant. See Infant mortality. in foreign countries, section 9, p. 19. more favorable for — men than for women in some instances, p. IS; section 7, p. 18, section 37, p. 34- native whites than for foreign-born whites, p. 13; sec- tion 32, p. 31. rural districts than for cities, p. 13; section 7, p. 18; section 35, p. 33. whites than for Negroes, p. 13; section 39, p. 34- women than for men, generally, p. 13; section 7, p. 18; sec- tion 34, p. 32. rate of. See Rate of mortality. variation in, in different classes of population, p. 13. statistics. See Original statistics. Statistics, Bureau of the Census, for calendar years — 1908, footnote, p. 340. 1909, footnote, p. 340; section 280, p. 426. 1910, footnote, p. 340; section 124, p. 55i/section 280, p. 426. tables of — foreign countries, section 69, p. 44; footnote, p. 203. insurance companies, section 75, p. 45; footnote, p. 225. Mutual Life Insurance Company, New York, section 90, p. 2>4- Hx, force of mortality, section 105 and equation (15), p. 336. n, constant in Wittstein's formula, equation (48), p. 349. n, average value of, section 201, p. 396. Ns, commutation column, pp. 302 to 311; pp. 316 to 325. National Convention of Insurance Commissioners, section 90, p. 224- National Fraternal Congress, section 90, p. 225. National Fraternal Congress Mortality Tables, section 75, p. bi- annual rate of mortality in, p. 226. compared, section 78, p. 46. graph of, p. 253. National Fraternal Congress Mortality Tables — Continued, complete expectation of life in, p. 282. compared, section 81, p. 47. graph of, p. 283. deaths in, out of 79,116 alive at age 20, number of, p, 230. graph of, p. 273. out of number alive by original radix, number of, p. 238. description of, section 75, p. 45; section 90, p. 225. employed by fraternal societies in this country, section 75, p. 45. measure of vitality in, p. 234- computed in the Bureau of the Census, footnote, p. 225. graph of, p. 293. mortality functions shown for, section 91, p. 225. graphs of, questions and answers concerning, section 77, p. 46. original radix in, section 91, p. 225. survivors in, out of 79,116 alive at age 20, number of, p. 22 8. compared, section 79, p. 46. graph of, p. 263. out of number alive by original radix, number of, p. 236. Native whites in the original registration states: births among, computed number of, p. 425. characteristic changes among males of, section 32, p. 31. life tables for, pp. 88 to 95. tabular outline for construction of, p. 416. original statistics for: 1910, pp. 434, 435. 1901, pp. 458,459. belong to types I and II, respectively, section 275, p. 423. per cent of, aged 50 who survive to age 75, section 42, p. 36. Negroes in the District of Columbia: ' births among, computed number of, p. 425. registered with those for other colored races, footnote, p. 425. > > ■ ,. ' deaths by single years of age estimated for,.section 276, p. 424- life tables for, 1901-1910, pp. 120 to 123. rough at some points, section 4, p.iS. tabular outline for construction of, p. 416. mean population for, pp. 468, 469. derivation of equations for, section 127, p. S53. original statistics for, pp. 468, 469. belong to type V, section 275, p. 423. Negroes in the original registration states: age at which generation of, is reduced by one-half, section 42, p. 35. age distribution of total stationary population of, section 55, p. 40. average death rate for: change in, with age, section 68, p. 43. for sections of stationary population, Bection 66, p. 43. births among, computed number of, p. 425. complete expectation of life among: change in, between 1901 and 1910; section 52, p. 39. compared with that among whites, section 53, p. 39; p. 278. graphs of , p. 275. maximum, section 50, p. 38. variation in, section 51, p. 38. deaths among, out of 100,000 born alive, number of: compared with that among whites, p. 268. during first year of life, section 47, p. 37. graphs of, p. 265. life tables for, section 2, p. 17; section 4, p. 18; pp. 76 to 87. graphs of functions of, section 8, p. 19. tabular outline for construction of, p. 416. mean population of, in 1901-1910, pp. 466, 467. derivation of equations for, section 127, p. 353. measure of vitality among: change in, between 1901 and 1910, section 61, p. 41- compared with that among whites, p. 2S8. graph of, p. 285. monthly, under 1 year compared with that among whites, section 62, p. 42. original statistics for: 1910, pp. 432, 433. 1901, pp. 456, 457. 1901-1910, pp. 466, 467. belong to types I, II, and IV, respectively, section 275, p. 423. rates of mortality among: changes in, for males compared with those for females, sec- tion 34, p. 32. characteristic changes in, for males, section 32, p. 31. compared with that among whites, section 39, p. 34; P- 248. compared with that in India, section 41, p. 35. compared with that in Massachusetts, 1890, section 29, p. 30; section 40, p. 34- graph of, p. 245. 488 INDEX. Negroes in the original registration states — Continued, rates of mortality among — Continued. higher among males than among females, section 37, p. S3. significant irregularities in, section 36, p. S3. survivors among, out of 100,000 born alive, number of: compared with that among whites, p. 258. diagram showing deviation from mean of, section 45, p. 36; diagram C, p. 255. variations in form of curve of, section 46, p. 37. total stationary population of, compared with that of whites, section 57, p. 40. Neiji, section 90, p. 224- Net- differences, section 128, p. 354; pp. 355, 356, 358, 359, 360. premiums, annual and single, P x and A x , pp. 300, and 314- New England "towns," section 280, p. 426. New Hampshire, section 2, p. 17. New Jersey, section 2, p. 17. births in, computed number of, and number of, registered, p. 4i5. registered, without distribution by sex, section 279, p. 425. life tables for, pp. 152 to 159. tabular outline for construction of, p. 418. original statistics for: 1910, pp. 448, 449. 1901, p. 472. belong to types I and VI, section 275, p. 423. New York, section 2, p. 17. births in, computed number of, and number of, registered, p. 425. £=Dj 12) I'D'tt?^, percentage factor for deaths under 1 month for 1910 in, section 124, p. 351. determination of, table 117, p. 351. life tables for, pp. 160 to 167. tabular outline for construction of, p. 418. males in the state of. See just below, original statistics for: 1910, pp. 450, 451. 1901, p. 472. belong to types I and VI, section 275, p. 423. New York, males in the state of: births of, number of, 1909-1911: calculation of , section 106 and diagram 15, p. 338; diagram 17, p. 341; diagrams 140, 141, and tape 142,p. 373. computed, derived from populations for each of the single years under 5, table 110, p. 342. determination of populations used in the calculation of, tapes 137 to 139, p. 373. registered and computed, p. 425. reported deaths used in calculation of, table 106, p. 338. calculation of derived functions for, 1910, tapes 229 to 236, p. 405; tapes 240 to 243, p. 407. calculation of 1910 life table for, typical generally of that for all the life tables, section 13, p. 21; section 125, p. 352; section 134, p. 369. involves more than one hundred steps, section 13, p. 21. photographs of graphs, diagrams, and adding machine tapes, used in connection with, section 133, p. 369. questions and answers concerning, section 85, p. 48. deaths among, 1909-1911: by months under 1 year adjusted graphically, graph 136, p.37A deviations of expected deaths according to graduated rates of mortality in table 122 from actual, p. 360. formula to obtain graduated central term of a series of fifteen values of a function employed to graduate, at older ages, equation (47), p. 349; equation (82), p. 390. See tapes 174 to 180, pp. 389, 391. quinquennial age groups tested by comparing the difference of average ratios for, p. 363. reported, graduated by fifth difference osculatory inter- polation formula, tapes 147 to 153, pp. 37.3 and 377/ tapes 162 to 168, pp. 385 and 337. exposed to risk of death, 1909-1911, number of: •calculated from populations and deaths graduated by fifth difference oscillatory interpolation formula, tapes 169 to 171, p. 389. calculated from populations and deaths graduated by formula for obtaining graduated central term of a " series of fifteen values of a function, tapes 181 to 183, pp. 391, 393. original statistics for, 1910, p. 450. belong to type I, section 275, p. 423. New York, males in the state of — Continued, population estimated as of July 1, 1910, for: at older ages, graduated by 15-term formula, tapes 174 to 180, pp. 389, 391. graduated by fifth difference osculatory interpolation formula, tapes 147 to 161, pp. 373, 377, 881. and 384- quinquennial age groups tested by comparison of ratios of, p. 362. quinquennial age groups tested by comparison of differ- ence of averaged ratios for, p. 363. probabilities of living, 1910, for, tape 146, p. 373; tape 173, p. 389; tape 205, p. 397; tape 226, p. 405. rates of mortality for, 1910, to six places of decimals: ages 5 to 110, calculated from populations and deaths graduated by fifth difference osculatory inter- polation formula, tape 173, p. S89. ages 15 to 85, calculated from populations and deaths graduated by fifth difference osculatory inter- polation formula applied to original statistics grouped in each of the five quinquennial age groups, and also from the average of these grad- uated populations and deaths {average group), p. 357. ages 80 to 105, smoothed by Spencer's 21-term formula, tapes 206 to 227, pp. 397, 399, 403, 405. ages 87 to 107, calculated from populations and deaths, graduated by formula to obtain graduated central term of a series of fifteen values of a function, tape 184, p. 393. ages 94 to 115, determined by Wittstein's formula, tapes 188 to 205, pp. 393, 397. averaged, obtained by taking the arithmetic mean of the rates, ages 87 to 107, in groups of five, tapes 185 to 187, p. 393. computation of, by months under 1 year, table 112, p. 343; tapes 144 to 146, p. 373. computation of, by single years of age under 5, table 111, p. 343: tapes 143, 145, 146, p. 373. deviations of, for each age group from those for the average group in table 122, table 123, p. 358. second differences of, to five places of decimals at older ages, tape 228, p. 405. third differences of graduated, in table 122, table 124, p. 359. weighted squared deviation of graduated, from observed rates in table 122, table 126, p. 361. New York City, section 2, p. 17. average annual death rate of the — actual population in, section 64, p. 42. total population at birth in, section 63, p. 42. births in, computed number of, and number of, registered r p. 425. registered, used in construction of 1910 life tables of, sec- tion 12, p. 20; section 110, p. 342; section 279, p. 426. complete expectation of life in, section 49, p. 38. deaths by days and weeks, 1910, 1911, in, used in drawing infant mortality graphs for cities, table 129, p. 364. £=Dj J) /E , o/i'' I > percentage factor for deaths under 1 month for 1910 in, section 124, p. 351. life tables for, pp. 184 to 191. tabular outline for construction of, p. 418. original statistics for, p. -475. belong to type VII, section 275, p. 424. rates of mortality in, for males between 1901 and 1910, variation of, section 31, p. SO. Nippon, section 90, p. 224- Nontechnical description and explanation of life table functions, graphs, and other parts of text and tables, Part I,, pp. 23 to 49. Norges Offlcielle Statistik, footnote, p. 203. Northampton Life Tables, section 11, p. 20; section 93, p. 297. Norway: annual rates of mortality in, pp. 204 to 207. at birth and at age 50, most favorable of countries shown, section 70, p. 44- between 17 and 29, least favorable of countries shown, section 70, p. 44. complete expectation of life in, pp. 216 to 219. after age 27, most favorable of countries shown, section 73,. p. 45. computed in the Bureau of the Census, footnote, p. 203. INDEX. 489 Norway — Continued. deaths in, out of 100,000 born alive, number of, pp. 212 to 215. smallest during first year of life and greatest among males aged 20 and 21, of countries shown, section 72, p. 44. measure of vitality in, pp. 220 to 223. compared, section 74, p. 45. computed in the Bureau of the Census, footnote, p. 203. mortality functions shown for, section 69, p. 44; section 88, p. 203. epoch of, section 87, p. 203. Officielle Statistik, footnote, p. 203. survivors in, out of 100,000 born alive, number of, pp. 208 to 211. compared, section 71, p. 44. Notes on Summation Formulas of Graduation with Certain New For- mulas/or Consideration, footnotes, p. 357. Number of — deaths. See Deaths, survivors. See Survivors. Number within a circle, section 138, p. 371. M, symbol for British Offices Life Tables, 1863-1893, section 90, p. 224. Observation interval or period, p. 334. See Interval. Observed rates of mortality, section 129. p. 557. Ohio, section 108, p. 340. Older ages: complete expectation of life at — any age dependent upon rates of mortality at, section 51, p. 38. details of, shown in diagram C, pp. 274, 276, 277, 279. greater for women than for men, section 53, p. 39. deaths at, varies with number of survivors, number of, section 48, p. 37. measure of vitality at, details of, shown in diagram C, pp 284 to 289. survivors at, curve of number of, section 45, p. 36. details of, shown in diagram C, pp. 254 to 259. rates of mortality at: determined from population and deaths graduated from the original statistics grouped in all five of the quin- quennial age groups, section 118, p. 349; tapes 174 to 187, pp. 389,391, 393. determined by application of Wittstein's formula to the averaged rates from all five quinquennial age groups, section 117, p. 348; section 119, p. 349; tapes 188 to 205, pp. 393, 897. formulas used in construction of, section 84, p. 48. smoothed by application of Spencer's 21-term formula, section 121, p. 350; tapes 206 to 227, pp. 397, 399, 403, 405. overlapping series of, section 120, p. 350; tape 205, p. 397. Oldest age — in stationary population, section 55, p. 40. of human life, theoretical, section 84, p. 48; section 95, p. 329; section 117, p. 348. On a New Mechanical Method of Graduation, footnote, p. 344. On a New Method of Constructing and of Graduating Mortality and other Tables, footnote, p. 344. On the Construction of Mortality Tables from, Census Returns and Records of Deaths, footnote, p. 344. On the Graduation of the Rates of Sickness and Mortality presented by the Experience of the Manchester Unity of Oddfellows during the Period 1893-97, footnote, p. 350. One hundred years and over, distribution into single years of age of population aged, section 276, p. 424- One month of age, deaths under, table 129, p. 364. One year of age, deaths under. See Months. Operand, mathematical expressions for, in Spencer's 21-term formula, equation (50), p. 350. to obtain, section 209 and table 134, p. 398. Ordinate, section 113, p. 344. Orient, section 87, p. 203. represented by India and Japan, section 9, p. 19. Original registration states: average annual death rate of total population at birth — in actual population of, section 64, p. 42. in stationary population of, section 63, p. 42. births in, computed number of, and number of, registered, p. 425. both sexes in, life tables for. See Both sexes, cities of, whites in. See Cities, complete expectation of life in, section 49, p. 37. change in, between 1901 and 1910, section 52, p. 38. graphs of, p. 274. maximum, section 50, p. 38. Original registration states — Continued. composition of, section 2 and footnote, p. 17. deaths in, out of 100,000 born alive, number of: graphs of, p. 264. incidence of, section 47, p. 37. foreign-born whites in the. See Foreign-born, include, section 2 and footnote, p. 17. £=Dj 12) /DoJul 1 ^) percentage factor for deaths under 1 month in 1910 in, section 124, p. 351. life tables for, pp. 52 to 63. graphs of functions of, section 8, p. 19. tabular outline for construction of, p. 416. measure of vitality in, section 58, p. 40. graphs of, p. 284. native whites in. See Native. Negroes in. See Negroes. original statistics for: 1910, pp. 428, 429. 1901, pp. 452, 453. belong to types I and II, respectively, section 275, p. 423. for both sexes, section 276, p. 4-4. quinquennial age groups tested by comparing difference of averaged ratios for populations and for deaths in, p. 363. rates of mortality in: annual, for both sexes, 1910, section 28, p. 29; p. 243. annual, under 1 year, section 30, p. 30. comparative, section 31, p. SO. comparison of change in, among males and females, section 34, p. 82. graphical representation of, section 29, p. 29. graphs of, pp. 243, 244- monthly, section 33, p. 31. rural part of, whites in. See Rural. stationary population in, section 54, p. 39. age distribution of, section 55, p. 40. survivors in, out of 100,000 born alive, number of, section 42, p. 35. diagram of, under 1 year, section 44, p. 36. diagram showing deviation from mean of, section 45, p. 36. graphs of, p. 254. whites in. See Whites, why so called, footnote, p. 17. Original statistics upon which United States life tables are based, pp. 428 to 476. all given in Part VIII, section 275, p. 423. assumptions made to fill in, which were lacking, section 276, p. 424. births registered sometimes used as, number of, section 279, p. 425. definitions of urban and rural in the, section 280, p. 426. distribution of population and mortality statistics of unknown ages and unknown nativity in the, section 277, p. 424. estimates of population in, section 278, p. 424. seven types of, section 275, p. 423. Oscillatory fifth difference interpolation — applied to — census statistics of population, tapes 147 to 161, pp. 873, 377, 381, 384. numbers of deaths registered, tapes 162 to 168, pp. 385, 387 . by continuous addition of corrected fifth differences, tapes 154 to 158, pp. ,377, 381. calculation of the rates of mortality joining those under 5 with those by, tapes 250 to 263, p. 409. derivation of equations for, section 126, p. 352. corrected fifth difference of, equations for, table 115, p. 347. derivation of the coefficients for, table 114, p. 347. differencing for, tapes 147 to 153, pp. 373, 377. formula for, equations (38), (39), p. 345. derivation of, section 113, p. 344. fourth difference interpolation curves employed at beginning and end of, section 116, p. 347. junction of, table 116, p. 348. illustrating proof of formula for, diagram 18, p. 345. quinquennial age group to which, was applied: for 32 of the United States life tables for which only 5-9 group was available, section 118, p. 349; section 131, p. 864. for other tables whose populations and deaths were given by single years of age, section 12, p. 20; section 118, p. 349; section 131, p. 364. investigation preceding selection of, for United States life tables, sections 129, 130, pp. 356 to 864. 490 INDEX. Oscillatory fifth difference interpolation— Continued. quinquennial age group to which, was applied — Continued, tested by comparing the differences of averaged ratios for populations and for deaths, p. 363. tested by comparison of ratios of population, p. 862. used in construction of each United States life table, column 4, pp. 416 and 418. variation in deviations of expected deaths from actual deaths with, p. 360. variation in rates of mortality with, pp. 857, 358. variation in weighted squared deviations of rates of mor- tality with, p. 861. variation of third differences of rates of mortality with, p. 359. Oscillatory Interpolation by Central Differences; with an Application to Life Table Construction, footnote, p. 344- Outline, tabular, for construction of each life table, section 85, p. 49; pp. 416 to 419. for calculating operand in Spencer's 21-term formula, table 134, p. 398. used in calculation of rates of mortality joining those under age 5 with those by osculatory interpolation, first, table 118, p. 852. second, table 119, p. 353. Overlapping series of rates of mortality, section 120, p. 850. p x , probability of living 1 year from age x, equation (51), p. 351. (Px> probability that those who have attained age x will survive to age x+£, section 105, p. 336. ptlt+i, probability that those born in interval (t,i+l)and attaining exact age x will survive to age x-\-l, equation (14), p. 336. P(, total population at time t, section 127 andequation (67), p. 353. P x , net annual premium at age x forbrdinarV whole life insurance of 1, pp. 300, 314.' yP x , total population aged x at time y, tape 138, p. 373. P^ 1 ' 12 , number of persons at time z living between the ages x t and x 2 , equation (8), p. 333. Papps, P. C. H., footnote, p. 358. Pennsylvania, section 108, p. 840. Percentage factor for deaths under 1 month in 1910, section 124, p. 851. calculation of, for state of New York, table 117, p. 351. equation for, i=D7/D^, section 124, p. 351. Percentage of decedents born in — earlier and later calendar years — derived from German mortality statistics, section 107, p. 339. employed for computing births for United States life tables, table 109, p. 840. graduated, based on deaths in Prussia, table 107, p. 339. earlier calendar month, based on mortality statistics for 1910 in Massachusetts, New York, New York City, and the original registration states, section 124, p. 351. calculated for the state of New York, 1910, table 117, p. 851. used in calculation of derived functions in United States life tables, section 124 and equation (54), p. 351. later calendar year, based on mortality statistics of German states in 1910 and 1911, table 108, p. 339. formula to obtain, when intervals of time are months, equation (28), p. 340. method employed to verify, section 108, p. 339. Period: equation for the determination of mean population of — a subdivision of total population of any, equation (74), p. 354. total population of any, equation (75), p. 854- observation, p. 334. See Interval. Periods of — deaths upon which United States life tables were based, section 2, p. 17. experience upon which mortality tables of insurance companies are based, section 90, p. 224. life tables of foreign countries shown, section 69, p. 44; section 87, p. 203. Perozzo, footnote, p. 329. Philadelphia, section 2, p. 17. births in, computed number of, and number of, registered, p. 425. registered, used in construction of 1910 life tables of, section 12, p. 20; section 110, p. 342; section 279, p. 426. Philadelphia/ — Continued. deaths by days and weeks, 1910, 1911 in, used in drawing infant mortality curves for cities, table 129, p. 364. life tables for, pp. 192 to 199. tabular outline for construction of, p. 418. maximum measure of vitality in, increase in, between 1901 and 1910, section 61, p. 41. original statistics for, p. 476. belong to type VII, section 275, p. 424. Physicians, life tables of service to, p. 13. ir t , any subdivision of population at time t, equation (68), p. 853. Tfl, mean value of any subdivision of the population during the period I, equation (74), p. 354. Pivotal values, section 118, p. 349. Population: actual, average annual death rate in, section 64, p. 42. comparison of, with that in stationary population, section 65, p. 43. aggregate of, sections 99, 100, pp. 332, 333. See Aggregate of those living at same time, birth and age intervals covered by, living at same time, diagram 7, p. 333. determination of, used in calculation of number of births, of annual rates of mortality under 5 years, and of monthly rates of mortality under 1 year, sections 137 to 139, pp. 370, 871. distribution of, into subdivisions by percentage factors m and n, section 127, p. 353. aged 100 years and over into single years of age by propor- tion, tape 265, p. 409; section 276, p. 424. of unknown ages, section 277, p. 424. enumeration of, in the United States, section 100, p. 333. estimates of, section 278, p. 424. by arithmetic progression, section 256, p. 408. by geometric progression, section 127, p. 353; sections 137 to 139, p. 370. flow of, graphic representation of, section 96; p. 329, diagrams 1, 2, and 4, pp. 329, 330,881. mathematical theory of, section 97,' p. 830. in current age interval. See Stationary population, in current and all older age intervals. See Stationary popula- tion, largest and smallest, for which a life table was calculated, section 2, p. 17. mean, determination of, section 127, p. 358. calculation of, for 1901-1910 of white females in the original registration states, tapes 264 to 274, pp. 411,412, 414. general equations for, (74), (75), p. 854. specific equations for, (76), (77), p. 354- per death in age interval. See Measure of vitality, stationary. See Stationary population. total, defined, section 24, p. 28. See Stationary population, under 2 years not employed to calculate number of births, section 110, p. 342. Premiums, net, pp. 800, 314- at different rates of interest, section 94, p. 297. based on life tables for white males and for white females in the original registration states, 1910, section 11, p. 20; sections 93, 94, p. 297. conform closely to present mortality, conditions, section 11, p. 20; sections 93, 94, p. 297. equations for, pp. 300, 31,4. practical use served by, sections 93, 94, p. 297 . questions and answers concerning, section 83, p. 47. symbols for — annual, P x , pp. 300, 314. single, A x , pp. 300, 314. Prussia, deaths in, table 107, p. 339. Public health officials, life tables of service to, p. 18. q x , annual rate of mortality at age x, probability that a person living at exact age x will die within a yeai, section 20, p. 26; equations (16), p. 336; (22), p. 337; (43), p. 348; (91), p. 410. ■q£'\ monthly rate of mortality at age x, probability that a person living at exact age x will die within a month, section 20, p. 26; section 33, p. 81; table 112, p. 343. ^ , rate of mortality at age x of those bom in the interval (t,t+l), equations (14), p. 836; (24), p 338 q x , observed annual rate of mortality, p. 357. INDEX. 491 Questions and answers illustrating use of tables and graphs, section 6, p. 18; sections 27 to 86, pp. 29 to 49. concerning — complete expectation of life, sections 49 to 53, pp. 37 to 89. death rate per thousand, sections 63 to 68, pp. 42, 43. deaths, number of, sections 47, 48, p. 37. life tables of foreign countries, sections 69 to 74, pp. 44, 45. measure of vitality, sections 58 to 62, pp. 40, 41, 42. mortality tables of insurance companies, sections 75 to 82, pp. 45 to 47. Parts V to VIII, sections 83 to 86, pp. 47 to 49. rates of mortality, sections 28 to 41, pp. 29 to 35. stationary population, sections 54 to 57, pp. 39, 40. survivors, number of, sections 42 to 46, pp. 35 to 37. total stationary population, section 57, p. 40. scope and purpose of, section 27, p. 29. Quinquennial age groups, section 118, p. 349. rates of mortality at older ages determined — by applying Wittstein's formula to the averaged rates from all five, sections 117, 119, pp. 348, 349. from populations and deaths graduated from the original statistics grouped in all five, section 118, p. 349; tapes 174 to 187, pp. 389, 391, 893. ratio test for concentration in, section 130, p. 362. selection of, for osculatory interpolation, important, section 129, p. 556. for the United States life tables, section 131, p. 364. tested by comparison of — differences of averaged ratios for populations and for deaths, p. 363. ratios for populations, p. 362. variation of rates of mortality with the, of original statistics to which osculatory interpolation formula is applied, section 129, p. '356. various rates of mortality obtained from the same original statistics by applying interpolation formula to different, of population and mortality statistics, p. 357. deviations of expected deaths according to the, from the actual deaths, p. 360. deviations of the, from those in the average group, p. 358. third differences of the, p. 359. weight squared deviations of the, from the observed rates, p. 361. Quinquennial differences: first five leading, of T x and l x . calculation of, for males in the state of New York, 1910, tapes 147 to 152, pp. 375 and 377. method of obtaining, section 149, p. 374- required for osculatory interpolation, section 149, p. 374- first three, of T? x an d l x a t older ages: calculation of, from each quinquennial age group for males in the state of New York, 1910, tapes 174 to 178, pp. 889 to 391. required for graduation by 15-term formula, section 118, p. 349. leading unit differences derived from leading, according to fifth difference osculatory interpolation curve : calculation of, for Tg, and l m , tape 155, p. 377; tapes 162, 163, p. 385. equations for, (80), p. 376. ten years younger, section 155, p. 376. leading unit differences derived from leading, according to fourth difference interpolation curve: calculation of, forT 4 and l t , tape 154, p. 377; tapes 162, 163, p. 385. equations for, (79), p. 376. of same age, section 154, p. 376. selection of rates of mortality upon which to base Wittstein's constants determined from, of rates of mortality, section 188, p. 392. r, geometric rate of increase of population, equation (66), p. 353; equation (78), p. 370. R in column 3 of table 135 indicates that the number of births registered were used in the construction of the life table, p. 418. B. x . commutation column, pp. 302 to 311, 316 to 325. Radix of — life tables for foreign-born whites in the original registration states, note in tables, pp. 96 to 103. Radix of — Continued. mortality tables of insurance companies, common, section 91, p. 225. original, section 79, p. 46; section 80, p. 47; section 91, p. 225; pp. 236 to 239. United States life tables, section 123, p. 851; section 229, p. 404. Rate— at which persons born at time t — die at age x, equation (3), p. 331. survive to age x, equation (2), p. 331. average annual death. See Death rate, variation of, with time and with age, diagram 3, p. 331. Rate of mortality, p. 13. age at which, equals that at birth, section 41, p. 85. among both sexes, 1910, in the original registration states, section 28, p. 29. among foreign people, pp. 204 to 207. graphs of, pp. 250, 251. questions and answers concerning, section 70, p. 44- among infants, section 30, p. 30; section 33, p. 81. See infant mortality, column 4 in tables of Part II. among insured lives, p. 226. graphs of, p. 253. questions and answers concerning, section 78, p. 46. annual, section 28, p. 29. calculation of, by months under 1 year, section 132, p. 364. under 1 year, section 30, p. 30. at advanced ages, calculation of, for males in the state of New York, 1910, tapes 174 to 228, pp. 389, 391, 393, 397, 399, 403, 405. methods used in calculation of, section 117 to 121, pp. 348 to 850. values for, influenced by hypothesis, section 31, p. 31. calculation of, for males in the state of New York, 1910. See New York, males in the state of, 1910!" joining those under age 5 with those by osculatory inter- polation for white females in cities of original registration states, 1901, tapes 250 to 263, p. 409. changes in : among males in New York City between 1901 and 1910, section 31, p. SO. characteristic, among males, section 32, p. 31. least between ages 20 and 40, section 38, p. 84. most rapid during the first few days of life, section 38, p. 34. comparative, section 31, p. SO. comparison of, among whites and Negroes, section 39, p. 34. among women and among men, section 37, p. 33. for native whites with that for foreign-born whites, section 32, p. 31. in United States with that in other countries, section 41, p. 84. urban and rural, section 35, p. 33. comparison of change in, among men and among \70men, section 34, p. 32. from 1890 to 1901 with that from 1901 to 1910, section 40, p. 34. decrease in, at birth between 1901 and 1910 greater — among males than among females, section 34, p. 32. among Negroes than among whites, section 32, p. 31. in Massachusetts than among other whites, section 32, p. 31. deviation of, for each quinquennial age group from that for the average group in table 122, table 123, p. 338. expected deaths according to graduated, in table 122 from actual deaths, p. 360. explanation of, section 20, p. 26. expression of, in terms of — aggregates of the living and of the dead, equations (14), p. 336; (22), p. 337., central death rate, equations (24), p. 338; (91), p. 410. force of mortality, equation (16), p. 336. statistical aggregates, equation (24), p. 338. Wittstein constants, equation (85), p. 396. graduation of. See Graduation, graphical representation of, section 29, p. 29. graphs of, pp. 243 to 253. highest, shown in United States is among Negroes, section 39, p. 84. next, in Massachusetts in 1890, section 40, p. 34- least favorable, countries showing, section 41, p. 35; section 70, p. 44. from ages 17 to 29, countries showing, section 70, p. 44. 492 INDEX. Rate of mortality — Continued, lowest: age at which, generally occurs, section 28, p. 29; section 41, p. 35. among rates shown in this volume, section 70, p. 44. at birth among countries shown herein, section 70, p. 44. monthly, section 33, p. 31. calculation of, by days and weeks under 1 month, section 132, p. 364. increase in, at birth between 1901 and 1910, section 33, p. 32; section 34, p. 33. questions and answers concerning, section 30, p. 30; sec- tion 33, p. 31. See Infant mortality, most favorable at age 50, countries showing, section 70, p. 44. observed, section 129 and note in heading of table, p. 357. weighted squared deviations of graduated rates of mor- tality from, p. 361. overlapping series of, section 120, p. 350. per thousand. See column 4 of tables in Part II. See also pp. 204 to 207, 226. questions and answers concerning, sections 28 to 41, pp. 29 to 35. among infants, section 30, p. 30; section 33, p. 31. among insured lives, section 78, p. 46. among whites and Negroes, section 39, p. 34. for males and females, section 34, p. 32; section 37, p. S3. for native whites and foreign-born whites, section 32, p. 31. in foreign countries, section 70, p. 44- in 1890-1901 and in 1901-1910, section 40, p. 34. in United States and in other countries, section 41, p. 34. urban and rural, section 35, p. S3. relation between, and measure of vitality, section 58, p. 41. shape of curve of, section 29, p. 29. significant irregularities in, section 36, p. S3; section 37, p. 34- among insured lives, section 78, p. 46. greater among Negroes than among whites, section 39, p. 34. summary of methods employed to obtain, section 122, p. 350. symbol for, g x , section 20, p. 26. See heading of column 4 in tables of Part II. tested for smoothness and conformity to original statistics, section 128, p. 354. third differences of graduated, in table 122, table 124, p. 55.9. among whites in the original registration states, 1910, p. 355. under age 5. See Five, single years of age under. junction of, with those by osculatory interpolation, section 126, p. 352. under 1 year, section 30, p. 30; section 33, p. 31. See infant mortality, column 4, in tables of Part II. variation of, with age, section 38, p. 34. with number of deaths and number of survivors, section 48, p. 37. with quinquennial age groups of statistics to which oscu- latorv interpolation formula is applied, section 129, p. 356. Wittstein's formula modified to obtain, at advanced ages, sec- tion 117, p. 348. Ratio test for concentration in age groups, section 130, p. 362 . Registered, number of births, p. 425. See Births. Registrar-General, Seventieth Annual Report of the, footnote, p. 353. Supplement to the Seventy-fifth Annual Report of the, section 110, p. 342; footnotes, pp. 203, 346, 349, 353, 372. Registration — area, 1910, deaths in, table 129, p. 364. percentage factor for decedents in age interval 1-2 born in later calendar year in, section 108, p. 340. selected, cities. See tables 59 to 74, p. 5. states. See tables 35 to 58, pp. 4, 5. Report on the Graduation of Ages, footnote, p. 364- Republique Francaise, Resultats Statistiques du Recensement General de la Population, footnote, p. 203. Rhode Island, section 2, p. 17. Rogers, Sam. L., p. 13. Rural part of the original registration states, whites in, section 2, p. 17. age at which generation is reduced by one-half among, section 42, p. 35. average annual death rate of total population at birth among — in actual population of, section 64, p. 42. in stationary population of, section 63, p. 42. Rural part of the original registration states, whites in — Contd. complete expectation of life among: change in, between 1901 and 1910, section 52, p. 39. compared with that in cities and in foreign countries, sec- tion 53, p. 39; graph 37, p. 279. graphs of, p. 277. computed number of births among, p. 425. deaths among, out of 100,000 born alive, graphs of number of,, p. 267. compared with urban, p. 269. determination of population to agree with reported deaths among, section 280, p. 426. life tables for, pp. 112 to 119. graphs of functions of, section 8, p. 19. tabular outline for construction of, p. 416. meaning of, as used in the life tables, section 280, p. 426. See note at beginning of tables, pp. 112 to 119. measure of vitality among: compared with that among whites in cities, p. 289. graphs of, p_. 287. maximum, in 1910, section 60, p. 41. monthly, compared with that among whites in cities, sec- tion 62, p. 42. original statistics for: 1910, pp. 440, 441. 1901, p. 463. belong to types I and III, section 275, p. 423. rates of mortality among: change in, males, section 32, p. 31. compared with that in cities, section 35, p. S3; p. 249. comparison of, among males and among females, section 34, p. 32. graphs of, p. 247. monthly, section 33, p. 32; section 34, p. 33. significant irregularities in, section 36, p. S3. survivors among, out of 100,000 born alive, number of: compared with that in cities, p. 259. diagram of, showing deviation from mean, section 45, p. 36. graphs of, p. 257. S x , commutation column, pp. 302 to 311; pp. 316 to 325. Scotland, section 75, p. 45; section 90, p. 224- Selected registration — cities. See table of contents, p. 5, tables 59 to 74. states. See table of contents, pp. 4, 5, tables 35 to 58. , section 77, p. 46; section 90, p. 224- h, section 90, p. 225. M , section 77, p. 46. P. section 90, p. 225. <"> , section 112, p. 343. V« 2 , section 99, p. 332; section 101, p. 333; section 102, p. 834- zjx 2 , section 100, p. .333. 2,/z 2 , section 103, p. 334- Supplement to the Seventy-fifth Annual Report of the Registrar- General, Part I, Life Tables, footnotes, pp. 203, 346, 349, 353, 372; section 110, p. 342; Part II, Abridged Life Tables, footnote, p. 372. Survivors, number of: at age x who were born in interval At, equation (1), p. 331. at age x=g(t) who were born in interval (t lt t 2 ), equation (4), p. 332. birth and time intervals covered by, to same age, diagram 6, p. 33?. Survivors, number of — Continued, equation for, (51), p. 351. in a stationary population equivalent to Ej" +1 for all values of t, section 123, p. 351. out of a generation of 100,000 born alive. See just below, out of number alive by original radix of each table among insured lives, section 91, p. 225; p. 236. out of 100,000 foreign-born whites alive at age 5, pp. 96 to 103. out of 79,116 alive at age 20, section 91, p. 225. among insured lives, p. 228. graphs of, p. 263. questions and answers concerning, section 79, p. 46. variation in, with time and with age, diagram 4, p. 331. Survivors out of a generation of 100,000 born alive, number of: computation of, among males in the state of New York, 1910, section 229, p. 404. diagram of: showing deviation from mean, section 45, p. 36. under 1 year, section 44, p. 36. explanation of, section 18, p. 25. graphs of, pp. 254 to 262. in foreign countries, section 71, p. 44. graphs of, pp. 260, 261. method of computing, section 123, p. 351. questions and answers concerning, sections 42 to 46, pp. 35 to 37. symbol for, l x . See heading of column 2 in tables of Part II. variation of, with rates of mortality, section 43, p. 36. with number of deaths and rate of mortality, section 48, p. 37. variation in form of curve of, section 46, p. 37. Sveriges Officiella Statistik, footnote, p. 208. Sweden: age at which generation is reduced by one-half in, section 89, p. 203. annual rate of mortality in, pp. 204 to 207. graphs of, pp. 250, 251. most favorable from ages 40 to 85, section 41, p. 35. significant irregularities in, section 36, p. 38. unfavorable from ages 5 to 35, section 9, p. 20. complete expectation of life in, pp. 216 to 219. compared with that among whites in the rural part of the original registration states, section 53, p. 39. graphs of, pp. 280, 281. deaths in, out of 100,000 born alive, number of, pp. 212 to 215. graphs of, pp. 270, 271. insured lives in, mortality tables based on, section 90, p. 224. See Swedish Offices Mortality Experience, Seven- teen, measure of vitality in, pp. 220 to 223. compared, section 74, p. 45. computed in the Bureau of the Census, footnote, p. 203. graphs of, pp. 290, 291. mortality functions shown for, section 69, p. 44; section 88, p. 208. epoch of, section 87, p. 203. graphs of, section 88, p. 203. Officiella Statistik, footnote, p. 203. survivors in, out of 100,000 born alive, number of, pp. 208to211. graphs of, pp. 260, 261. Swedish Offices Mortality Experience, Seventeen, section 75, p. 45. annual rates of mortality in, p. 226. compared, section 78, p. 46. complete expectation of life in, p. 282. compared, section 81, p. 47. computed in the Bureau of the Census, footnote, p. 225. deaths in, out of 79, 116 alive at age 20,number of, p. 230. compared, section 80, p. 47. out of number alive by original radix, number of, p. 238. description of, Bection 90, p. 224- measure of vitality in, p. 234- compared, section 82, p. 47. computed in the Bureau of the Census, footnote, p. 2 25. mortality functions shown for, section 91, p. 225. original radix of, section 91, p. 225. survivors in, out of 79,116 alive at age 20, number of, p. 228. out of number alive by original radix, number of, p. 236. symbol for, "Ma, section 90, p. 225. Switzerland: annual rate of mortality in, pp. 204 to 207. complete expectation of life in, pp. 216 to 219. deaths in, out of 100,000 born alive, number of, pp. 212 to 215. compared, section 72, p. 44- measure of vitality in, pp. 220 to 223. compared, section 74, p. 45. computed in the Bureau of the Census, footnote, p. 203. 494 INDEX. Switzerland — Continued. mortality functions shown for, section 69, p. 44; section 88, p. 203. epoch of, section 87, p. 203. survivors in, out of 100,000 born alive, number of, pp. 208 to 211. Table Suisse de Survie pour les annees 1901-1910, footnote, p. 203. t, abscissa on time axis, section 96, p. 329. T x , stationary population at age x and in all older age intervals, section 24, p. 28; equation (56), p. 352. Table of — ages and sources of data for construction of each United States life table, p. 416. births, computed number of, and number of, registered, p. 425. computation of rates of mortality — by months of age under 1 year, table 112, p. 343. by single years under age 5, table 111, p. 343. joining those under age 5 with those by osculatory inter- polation, first, table 118, p. 352; second, table 119, p. 353. determination of percentage of decedents who were born in earlier calendar month, table 117, p. 351. deviations of rates of mortality for each quinquennial age group from those in average group, p. 358. equations for leading fractional differences in fifth difference osculatory interpolation, table 113, p. 346; table 114, p. 347. factors for unit fifth differences used in joining fourth and fifth difference interpolation curves in interpo- lating by continuous addition, table 116, p. 348. mechanical process for obtaining operand of Spencer's 21- term formula, table 134, p. 398. rates of mortality obtained from different quinquennial age groups, p. 557. ratio test for different quinquennial age groups, p. 362. averaged, p. 363. weighted squared deviation of graduated rates of mortality from observed rates of mortality, p. 361. Table Suisse de Survie pour les annees 1901-1910, footnote, p. 203. Tables of— deviations of expected deaths from actual deaths, pp. 356, 360. differences between, rates of mortality based on experience of insurance companies and those based on census statistics, section 76, p. 46; section 92, p. 225. life, the United States, pp. 52 to 199. mortality functions — based on experience of insurance companies, pp. 226 to 239. from life tables of foreign countries, pp. 204 to 228. from truncated life tables, section 90, p. 224. mortality statistics: additional, used in drawing graphs, table 129, p. 364. used in computing number of male births in the state of New York for 1910, table 106, p. 338. original data upon which United States life tables are based, pp. 428 to 476. percentages of decedents who were born in earlier or later calendar years, tables 107 to 109, pp. 839, 340. third differences of rates of mortality, pp. 355, 359. unit fifth differences illustrating interpolation by continuous addition, tables 130 to 133, pp. 380, 382. Tapes, descriptive text and photographed, section 133, p. 369. Tapes showing calculation of — derived functions for males in the state of New York, 1910, tapes 228 to 236, p. 405; tapes 240 to 243, p. 407. mean population of white females in the original registration states, 1901-1910, tapes 264 to 274, pp. 411, 412, 414. rates of mortality for males in the state of New York, 1910 — ages to 4, including monthly rates under 1 year, tapes 137 to 146, p. 373. ages 4 to 109, by osculatory interpolation, tapes M7 to 173, pp. 373, 377, 381 384, 385, 387, 389. ages 80 to 105, smoothed by Spencer's 21-term formula, tapes 206 to 227, pp. 397, 399, 403, 405. ages 89 to 105, by averaging rates from different groups, tapes 174 to 187, pp. 389, 391, 393. ages 94 to 115, by Wittstein's formula, tapes 188 to 205, pp. 393 and 397. regraduation of rates of mortality for white females in cities of the original registration states, 1901, between ages 3 and 13, by Lagrange's formula modified, tapes 250 to 263, p. 409. Tavole di Mortalita della Popolazione Italiana, footnote, p. 203. Teikoku, section 90, p. 224. Test for different quinquennial age groups, ratio, pp. 362, 363. Theorem, Green's, section 98, p. 332. Lagrange's, section 126, p. 352. of the mean, section 105, p. 337. Theorems, two important, section 98, p. 331. Third differences of rates of mortality, pp. 855, 359. Thirty American Offices Mortality Experience. See American Offices Mortality Experience, Thirty. Three Japanese Offices Mortality Experience. See Japanese Offices Mortality Experience, Three. Time axis, section 96, p. 829. Total population, denned, section 24, p. 28. Totals, absolute, net, negative, and positive, defined, section 128, p. 354. Totals of— deviations of expected deaths from actual deaths — ages 15 to 85 and 28 to 77, p. 360. all ages and all ages excluding 0-1 and 1-2, p. 356. deviation of rates of mortality for each quinquennial age group from that for the average group in table 122, table 123, ages 15 to 85 and 28 to 77, p. 358. third differences of rates of mortality — ages 15 to 85 and 28 to 77, p. 359. all ages and all ages excluding 0-1 and 1-2, p. 855. weighted squared deviations of graduated from observed rates of mortality, ages 15 to 85 and 28 to 77, p. 361. Transactions of the Second International Actuarial Congress, foot- note, p. 344. Truncated mortality tables, mortality functions derived from, section 90, p. 224. 29-term osculatory interpolation formula, section 129, and note to heading of table 122, p. 357. 21-term formula, Spencer's, section 12, p. 20; sections 121 and 122, p. 350; section 125, p. 352. rates of mortality smoothed bv, tapes 206 to 227, pp. .197, 399, 403, 405. Twenty-three German Offices Mortality Experience. See German Offices Mortality Experience, Twenty-three. Types, seven, of original statistics, section 275, p. 423. three, of aggregates of the dead, sections 101 to 103, pp. 333 334. two, of aggregates of the living, sections 99, 100, pp. 332, 333. u, unit of time on which constant r is based, equation (66), p. 353. function whose central value is graduated by the 15-term for- mula, section 118, p. 349. u x , fourth degree interpolation curve, equation (32), p. 344. function of the age variable x, table 118, p. 352. equals 10 6 q x -^-7, tape 207, p. 399. u , central values smoothed by Spencer's 21-term formula from the 10 ungraduated values before and the 10 ungradu- ated values after it, equation (50), p. 350. U=U a +U 6 +U c , equation (62), p. 352. V x =m x /u x v x , table 118, p. 352. operand in Spencer's 21-term formula, tape 209, p. 399. Unit differences: equations for corrected fifth, equation (81), p. 380. instructions for using, to interpolate by continuous addi- tion, section 158, p. 378. leading fractional differences for fifth differences osculatory interpolation in terms of leading, equation (40), p. 846. leading, for fifth difference osculatory interpolation curve in terms of leading quinquennial differences: calculation of, by continuous addition, tapes 158 to 161, pp. 388, 384; tapes 165 to 168, pp. 385, 887. calculation of, for T 99 and l m , to serve as checks, tape 155, p. 377; tapes 162, 163, p. 385. equation for, (80), p. ^76. leading, for fourth difference interpolation curve in terms of leading quinquennial differences, equation (42), p. 347. calculation of, for T 4 and l 4 , to start the continuous addi- tion, tape 154, p. 377; tapes 162, 163, p. 385. equation for, rearranged for convenience of computer, equation (79), p. 376. used in regraduation of rates of mortality joining infant mor- tality with osculatory interpolation curves, sec- tion 126, p. 353. general equations for initial, (65), p. 353. obtained by continuous addition, tapes 260 to 262, p. 409. specific equations for initial, (90), p. 410. INDEX. 495 United States, description of mortality tables based on insured lives in, section 90, p. 224. United States life tables, 1890, 1901, 1910, and 1901-1910, p. 13; Part II. construction of: mathematical theory of, p. IS; section 12, p. 20; Part VI. numerical processes of, described by detailed construction of one life table, p. 13; section 13, p. "21; Part VII. questions and answers concerning, sections 84, 85, p. 48. selection of quinquennial age group for, section 131, p. 364. variations from standard, section 14, p. 21; p. 41 6; tapes 250 to 274, pp. 409,412, 414. divided into three groups, original registration states, selected registration states, selected registration cities, pp. 4 and 5. graphs of functions of, section 8, p. 19; Part IV. life table functions of foreign countries and those based on ex- perience of life insurance companies included to compare with, p. 13; Part III. questions and answers concerning, sections 69 to 82, pp. 44 to 47. measure of vitality in, compared with that in foreign coun- tries, section 74, p. 45. monetary values based on, p. 13; section 11, p. 20; Part V. questions and answers concerning, section 83, p. 47. nontechnical description and explanation of, Part I. rates of mortality in, compared with those among insured lives, section 78, p. 46. statistics for: furnished by Bureau of the Census, p. 13; section 15, p. 21. include enumerated and estimated populations, reported deaths, and birth registration statistics, section 15, p. 21. original, are all given, p. 25. questions and answers concerning, section 86, p. 49. tabular outline for construction of each of the, pp. 416 to 419. use of, p. IS. what they show, p. 13; section 7, p. 18. University of Michigan, p. IS. Unknown : ages, distribution of population and mortality statistics of, section 277, p. 424. nativity, distribution of population and mortality statistics of, section 277, p. 424. Urban. See Cities. meaning of, as used in the life tables, section 280, p. 426. f 1 Px+idH, * J a section 105, p. SSI. i+3 V x = 2 U Zi ta P e 212 > P- 399 ' 1-3 fourth degree interpolation curves, equation (33), p. 844- in terms of u x , equation (34), p. 344- function of age variable x, table 118, p. 352. V=(e+f)V a +fXJ b +eU c , table 118, p. 352. 1+2 \ x =^w x , tape 218, p. 403. z-2 Variable, independent and dependent, section 105, p. 336. Variation — in age of those living at same time, section 100, p. 3S3. in time of those living to same age, section 99, p. 332. ' Vega's seven place logarithm tables, section 138, p. S70. Vermont, section 2, p. 17. Vertical line used to indicate — current age, the x line, section 96, p. 329. either decimal point or to cross out extra figures, section 138, p. 370. Vitality. See Measure of vitality. Vital Statistics, Division of, p. IS; sections 277, 278, p. 424- 1+4 w x =~^ju x , equation (44), p. 349. = v x +5, tape 216, p. 403. weighted squared deviations, 'P x {q x — q x ) 2 jp x q x , section 129, p. 361. Wahrscheinlichkeitsrechnung, footnote, p. 329. Wales, Census of England and, 1911, footnote, p. 364- Waters, Alfred C, footnote, p. 353. Weighted squared deviations of graduated rates of mortality from observed rates of mortality in table 122, table 126, p. S61. equation for, section 129, p. 361. Whites in the original registration states, section 2, p. 17. average annual death rate per thousand between ages 20 and 40 among, compared with that for Negroes, section 66, p. 43. births among, computed number of, p. 425. complete expectation of life among: compared with that among Negroes in 1910, section 53, p. 39. graph of, males, 1910, with those for insured lives, p. 283. graphs of, 1901-1910, with those for foreign countries, pp. 280, 281. graphs of, 1190, with those for Negroes, p. 278. deaths among, out of 100,000 born alive, number of: deviation of expected from actual, 1910, in table 121 is a test for conformity to original statistics, section 128, p. 355. graph of, males, 1910, with those for insured lives, p. 273. graphs of, 1901-1910, with those -for foreign countries, pp. 270, 271. graphs of, 1910, with those for Negroes, p. 268. graphs of life table functions of, section 8, p. 19. males, 1910, with those for insured lives, section 77, p. 46. 1901-1910 , with those for foreign countries, section 69, p. 44- life tables for, pp. 64 to 75. males, 1910, compared with those for insured lives, section 90, p. 224; pp. 226 to 235. males, 1910, used to illustrate the explanation of life table headings in Part II, section 16, p. 25. 1901-1910, compared with those for foreign countries, sections 69 to 74, pp. 44, 45; section 87, p. 208; section 127, p. 353; pp. 204 to 223. 1910, used as basis for commutation columns, annuities, and premiums in Part V, section 11, p. 20; section 83, p. 47; sections 93, 94, p. 297. tabular outline for construction of, p. 416. mean populations for, 1901-1910, columns 4 and 9, pp. 464, 465. computation of, females (tapes 264 to 274, pp. 409, 412, 414) used to illustrate the method, section 134, p. 369. derivation of equations for, section 127, p. 353. measure of vitality among: graph of, males, 1910, with those for insured lives, p. 298. graphs of, 1901-1910, with those for foreign countries, pp. 290, 291. graphs of, 1910, with those for Negroes, p. 288. monthly, females, 1910, section 62, p. 42. 1901-1910, compared with those in foreign countries, section 74, p. 45. original statistics for: 1910, pp. 430, 431. 1901, pp. 454, 455. 1901-1910, pp. 464, 465. belong to types I, II and IV, respectively, section 275, p. 423. population of, total stationary, compared with that for Negroes, section 56, p. 40. rate of mortality among: graph of, males, 1910, with those for insured lives, p. 253. graphs of. 1901-1910, with those for foreign countries, pp. 250, 251. graphs of, 1910, with those for Negroes, p. 248. 1901-1910, compared with those for foreign countries, section 41, p. 34; section 70, p. 44- 1910, compared with those for insured lives, section 78, -p. 46. 1910, compared with those for Negroes, section 39, p. 34. third differences of, 1910, in table 120 is a test for their smoothness, section 128, p. 854- survivors among, out of 100,000 born alive, number of: graph of, males, 1910, with those for insured lives, p. 263. graphs of, 1901-1910, with those for foreign countries, pp. 260, 261. graphs of, 1910, with those for Negroes, p. 258. per cent of, from age 20 to age 62, section 42, p. 35. variation in form of curve of, section 46, p. 37. See Cities of the original registration states, whites in. See Foreign-born whites. See Native whites. See Rural part of the original registration states, whites in. See White races. White people. See White races. White races: age at which — generation is reduced by one-half among, section 42, p. 35. maximum expectation of life occurs among, section 50, p. SS. 496 INDEX. White races — Continued, age- distribution of the stationary population among, section 55, p. 40. interval in which the greatest number of deaths occurs among, section 47, p. 37. average death rate of total population at birth in stationary population of, section 63, p. 42. complete expectation of life among: at birth, section 49, p. 38. range of maximum, section 50, p. 38. measure of vitality among: changes in maxima of, in the United States between 1901 and 1910, section 61, p. 41. greatest maximum and least maximum, section 60, p. 41. variation in form of curve of number of survivors among, sec- tion 46, p. 37. Whole life insurance : British Offices Life Tables, 1863-1893, based on participating, on men, section 90, p. 224- Seventeen Swedish Offices Life Tables not based on, section 90, p. 225, Wittstein — graduation joined to osculatory interpolation by Spencer's 21-term formula, section 12, p. 20; section 117, p. 348. old age curve joins fifth difference osculatory curve at various ages, section 14, p. 21; section 134, p. 369; column 16, p. 417. Wittstein 's formula, modification of, for obtaining rates of mor- tality at advanced ages, section 12, p. 20; section 117, p. 348. application of, to obtain the rates of mortality for males in the state of New York, 1910, tapes 187 to 205, pp. 393, 397. based on an hypothesis as to the variation of rate of mortality as the age limit of life is approached, section 120, p. 350; section 205, p. 398. employed in calculation of each life table, section 125, p. 352. equations for constants in, (48), (49), p. 349. x, on age axis, section 96, p. 329. y=f{t, x), equation (2), p. 331. =x—a, new age variable, section 126, p. 352. y x , fifth difference osculatory interpolation curve, equation (31), P-S44. x—l =2] «, section 118, p. 349. o Young, Allyn A., footnote, p. 362. z, age variable, n+2+x, equation (39), p. 345. z, present or current time, x+t, section 96, p. 3 Zeuner, footnote, p. 329. 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