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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_
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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
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-^
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\
\
\\
\
\
\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
■^
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^
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\
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s
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\
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S
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S (.
\
s
!
\
\
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\
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\
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\
\
V
i
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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
\
\
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V
s.
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^
X
s
\
i
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V
*.,.
\
\
\
. \
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.
1 -a.
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\
\
\
\
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\
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v ....
\
r \
\
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\
\ *
\
\
\
\
N
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\ 1
\
\
\ \
\
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i
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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
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1.800
,/' A
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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
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240
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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
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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
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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
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336
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AGE IN YEARS
75 80 85 90 95 100
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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
<
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20
AGE IN YEARS
50
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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
\\
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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
>
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240
220
200
180
160
80
60
10
AGE IN YEARS
40 SO 60
80
90
30
SO 60
ASE IN YEARS
80
90
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240
2EO
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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
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AGE IN YEARS
50
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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' = ''/, ;/ = '',"•
(36)
(37)
The relations (35) and (36) show that 4> = $ ' = $ " =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 2) + 8'gl) is set equal to 466
for the next two months and U[f J to 233. In order to
check these results and furnish a memorandum to the
operator, 234, nine times 467, two times 466, and 233
are added in three parallel columns in tape 144, giving
a total of 5,602 instead of 5,601, because 467/2 was
taken equal to 234 and (467 +466)/2 to 467. 5<. 12) is
used here for months in place of 8 X , which is used for
years.
145. The adjusted deaths by months under 1 year
which are used in these computations are shown
in column 3 of the table in the upper right corner
of Graph 136, and the deaths for single years
under 5 are found in column 6 of Table 159, page
450. To obtain those exposed to risk of death during
each month of age under 1 year and during the single
years under 5, equations (29) and (30), pages 342 and
343, were used. The machine was split between banks
11-12 and 7-8. On the left of the tape E was
entered from tape 142 and to it was added the com-
plement of $S£ 12) = 234, giving 346,430 as sub-
total. Then to this was added the complement of
K#, 12) +^ 12) )=467 and D< 12 > = 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
.
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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
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225 4, 944s
9 0,200
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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
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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
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99 5 8 5, 9 20 3
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9*9 6 5 2 7,05 6
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9 9 9 3 7, 2 16
t
9 9-SZ 1,53 6 s
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3 1,3 9 2
145 2, 624s
3 C 6, 4 6 s
',321,560s
9 9'e 92 7, 5 5
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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
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5 9 5, 9 6
990116, 3603
3 9 4 p 3 8
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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
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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
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6 8,870
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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
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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
/ -.5511522,3 8 5
265
1910 19 00
1 00
6 6
7 7
968
1 01
18
2 1
991
1 02
1 3
15 i
10
103
9
1 O 1
946
104
9
1
46
1 05
6
7
997
106
5
6
981
1 P7
5
6
981
108
1
1
16
109
1 10
1
1
16
1 11
1-
1
16
1 12
1 13
114
1
1
16
1 15
1
1
16
136
15
7- 8 5,S
00*
15 8/13 6-1,1 61 76 4,70 66
266 EP,. and
53 Rc-
1900
1,910*
O 212913 2 46,69 4
192081 22 0, 149
20106 7 2 4 0,4 46
3 203444 23 6, 536
8 09 525 94 4, 02 5 »
3 1067
19 837 5
199 07 3
194 9 28
19 2272
2 2 7, 6 8
2 2 1, 1 6
2 2 0, 5 7 7
2 1 S, 1 4 9
2 10,272
9 8 5715 1094, 22 6»
184 77
188 62 5
176 004
17 7 9 08
172 162
2 03,69 4
2 8, 9 5 8
1 9 7, 3 6 3
3 1 3, 6 3 3
2 5, 3 8 6
899 46 9 1 028,0345
1W 651
1753 45
18119 8
1763 06
185433
2 7, 6 4 5
2 0,3 52
2 3 2,2 41
315,781
338,903
895933 1064,921*
410
UNITED STATES LIFE TABLES.
To obtain the denominator in this equation, 3'2y 3 L x
was added to the complement of 21 times 32fy 2 L.,. and
110 times Z1,yh x , the quantities being taken from tape
257. The products of the last two by 21 and 110, re-
spectively, were obtained by addition in the same way
as those in tape 254.
259. Substituting the values of e and f from tape
253 in equations (65) on page 353, these become
8m 3
=U-V + 90K.
=2U-36K.
8 s m 3 =6K.
(90)
These equations and the equations for K in section
258 should be entered upon the table outlining- the
work when the computations are based upon q 3 , q 13 ,
and q u and the populations and deaths between these
ages.
In computing K and m x and its leading unit
differences, all of which except K were computed
to thirteen decimal places, the machine was split
between banks 13-14 and the decimal point con-
sidered as coming between these two banks. A
vertical line indicates the decimal point.
The value of K to the nearest twelfth decimal
place was found to be -.000007930489 by dividing
the first total in tape 258 by the second. Since it is
negative, one hundred times its complement was
entered in tape 259 and ten times its actual value,
or ten times the complement of its complement, was
added to obtain the 90K needed in the first of the
equations (90) just above. To this was then added
the value of U from tape 253 and the complement of
V from tape 254, the total being 5m s . The decimal
point is indicated by the vertical line. In actual prac-
tice time will be saved by combining the two steps indi-
cated in tapes 259 and 261.
260. To the value of K was added ten times £K,
or 5K, to obtain the constant third difference, 5 3 m 3 .
A subtotal was taken and to it was added ten times
one-half its value, or 30K, to obtain the 36K needed
in the second equation above. Since this 36K is to
be subtracted, its complement is set up and repeated
twice, once to clear the machine and the second time
to enter it upon the machine. Then the value of U
from tape 253 is repeated twice and a subtotal taken,
which is 8 2 m 3 . To this subtotal the constant third
difference, 5 3 m 3 , obtained above, is added nine times,
a subtotal being taken after each addition and a total
at the end. In this way 8 2 m x for x = 3 to a; = 12 were
obtained. The decimal point is indicated by the
vertical line.
261. To 8iu. 3 from tape 259 were added the 8 2 m x in
tape 260, a subtotal being taken after each addition and
a total at the end. This gives 8m x for aj = 3 tox = 13.
As in tapes 258 to 260, 262, and 263, the decimal point
is indicated by a vertical line.
262. To m, from tape 252 were added the 8m x from
tape 261, a subtotal being taken after each addition
to give the values of m x from a; = 3 to a; = 14. Since
m 3 is given only to the twelfth decimal place, it was
moved one place to the left in adding it to the 8m 3
which are given to the thirteenth decimal place. A
check on the work to this point is that m 13 and m u
agree to the eleventh decimal place with those in tape
252, as' indicated by the mark ®.
263. Another check on the work thus far is to
multiply the m x obtained in tape 262 by the L x in
tape 257 to obtain the expected deaths. According
to the assumption in equation (63) on page 352, the
sum of the expected deaths must equal the actual, or
18,951 from tape 258. Since the actual deaths were
for three years, the sum of the expected deaths was
repeated three times and the final sum is 18,950.97,
since the lj x m x were taken to the nearest second
decimal place.
On the right of tape 263 are entered the lO 6 ^
obtained from m x in tape 262 by the formula
2m x
~'2+m x
(91)
It was found convenient to compute the values in
the two columns of tape 263 in the following order:
m x to the nearest ninth decimal place was set upon
the computing machine as one factor, leaving space on
the left so that 2 could be set up in unit's place. This
m x was then multiplied by L x and the product entered
upon the left of tape 263. Then this product and ~L X
were cleared from the machine, the m x was multiplied
by 2, and the 2 then cleared from the machine.
The regulator was then switched to division, 2 set
up in unit's place of the divisor, and the 2rn x divided
by 2+m x to obtain the value of q x . The values of
q 3 , q 13 , and q u are the same as in tape 250.
CALCULATION OF MEAN POPULATION OF WHITE FEMALES IN THE
ORIGINAL REGISTRATION STATES FOR THE PERIOD 1901-1910.
264. The total white female populations in the origi-
nal registration states, enumerated on June 1, 1900,
and April 15, 1910, were obtained from columns 2 and
3, respectively, of Table 174, page 465, and entered
in tape 264 as Pmo-junc-i and P X9l o-Aprii-i5, respectively.
Their ratio, p 191 ^ Apr "~ 16 , r 118 - 5 / 120 , carried to the nearest
r 1900-June-l
ninth significant figure, is entered just below. Be-
neath this is log r 118 - 6 ' 120 , showing the three interpola-
tions necessary when Bauschinger and Peters' eight-
place logarithm table is used. This logarithm was
divided by 118.5 and the quotient multiplied first by
120, the result being entered as log r; then the quo-
tient was multiplied by seven, the result being entered
as log r 7 ' 120 . Space was left after these last two entries,
and the computations necessary to obtain their anti-
logarithms are shown in ink.
Log r was divided by .4342945 and the quotient
set down on the machine as \r. Beneath this is set
down the value of r and of r r l 120 , obtained from their
logarithms. From these values, r 7 ' 120 (r—l)/\r was
obtained and entered as a, according to equation (77)
CALCULATIONS BY SPECIAL PROCESSES.
411
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
3
13
14
-16 -11
- 1 10
11 l
. *
12,17 9
2,701
2,971
22 17,e54»@
251
3 24358
13 s 402
14 99 48
999982 14S
@ 17854
252
x Mzi&
3 Ho 1225
13 -10 2 70
14 ,, 297
1 9 8 7, 8 2 1
1 9 9 7, 2 9 9
1 9 9 7, 2 6
3982,1464
3618,409 ■
4 6 5 2, 6 3 3") — . ,
8428,9241©
17 93S 6 99,9664*
253
X 1.0" IL*
3 8+U2I 1113965,310
13 t-119 7 2 95 3 47,3 6 7
14 e =lo 37076 62,658
|0' 3 TJ K 1116 9 7S .335»
254
V- i>*/)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
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l,9S0tt
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10.4 3 5*@
tt
tt
tt
^ tt
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84
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995
64
8118
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84
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965
6 911
990
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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
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987
88
715
21652 2 7, 8 4 6»
2 18 7 9
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2 7 870
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5, 9 9 1 »
tt
»
«
tt
B 9 2033 2,641
69
2 036
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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
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236
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93
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9 67
93
185
6391 8, 9 8 tt
6399
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8105
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1,706*
*
*
tt
tt
94 46 8 5 48
94
4 69
958
94
54^9
947
94
80
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943
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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
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11
98
3
13 3 4 1,5 6 0*
13 3$ 6
1,9 6 64
1 5 6S|
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1 2 2 5 «
tt
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9 9
93
tt
12
99
85
#
7
99
999999 9, 992
77 66
77
10
66
6
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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
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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
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6 5
6
1
5
999999 9, 999
6 5
6
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5
999999 9, 999
198 1 1
108
1
108
1
1 08
3 2 6 tt
30
4*
2 6
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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
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115 1 1
115
1
115
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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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