The Theory of the Construction of Tables of Mortality And of Similar Statistical
The Theory of the Construction of Tables of Mortality And of Similar Statistical
George Francis Hardy
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Innkeepers, Publicans, 6fe. (1881). Ages t Living above age t Proportional numbers J GO Values of 15 232, 890 10000 00 20 230, 280 •9888 1-6147 25 222, 213 •9542 1-1929 45 105, 153 •4515 - •0862 65 14, 451 •0620 -1-0877 It will be seen that more than 50 per-cent of the numbers living are in the age-group 25-45, and nearly 40 per-cent in 97 the group 45-65. In such a series the usual methods of interpolation would probably give unsatisfactory results. If we treat the values of z as having consta...nt third differences, we obtain the following equations, taking five years of age as the unit — a =1-6147 a-^h =1-1929 a + 5/; + 10c + 10cZ= - -0862 a + 9& + 36c + 84cZ=- 1-0877 h, c, and d are the values, reckoning from age 20, of the differences of z. The values of a and h are e-iven immediateJv and solving the remaining equations for c and d we obtain — «= 1-6147 c = -04863 &=--4218 d=_-00782 which enable us to form at once the following series of xj^uinquennial age groups. Table XVIII.
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