XXVI1 
for the three 
the Popula- 
Dr. Heysham 
iat gentleman’s 
as two parishes 
is to he placed 
in the 17 years 
Burials. 
Females. Both. 
1994 
1946 
48 
3823 
3744 
79 
ier of burials in 
7654 
7457 
r 197 
separately in Dr. 
, it appears that 
Government have 
statements of the 
jse of the Quakers, 
seen that these two 
USE AND CONSTRUCTION OF TABLES. 
Table I. shows out of a certain number born how many live to attain 
each year of age, and forms the basis of every description of calculation 
connected with the subject of Life Contingencies. 
Table II. shows the expectation of life deduced from the various rates 
of mortality, or, in other words, the average number of years that one 
individual taken with another may expect to enjoy at the different ages 
of existence. 
Table III. is similar in description to Table I. 
In Table V. the first column shows the proportion to unity that die 
at each year of age, and is formed by dividing the number in Table I., 
in the column of decrements, by the number at the same age in the 
column of the number of living: the second column is found by sub 
tracting from unity the quantity in the first column; and the third column 
is obtained by dividing unity by the number in the second column, or 
by dividing the number in the column of living, at any given age, by 
the number in the same column at the next older age. At the age of 
72 
20, ———- = .014030 the number in the first column, 1—.014030= 
5132 
1 ‘ 5132 
. 985070 the number in the second column, and —-—-— or s= 
.985070 5060 
1.01432, the number in the third column. 
In Table VI. the number at any age in column D is found by mul 
tiplying the present value of ¿Cl due at the end of as many years as the 
age by the number of persons, according to the table, living at that age. 
In Table IV., Part I., at 3 per cent, the present value of £l, due at 
the end of 30 years, is .41198676; and by Table I., Part II., the 
number living at the age of 30, by the Northampton table of mortality, 
is 4385 • the product of the two is the number in the table in column D, 
viz., 1806.562. 
Column N is formed by taking the number in column D, at the oldest 
age in the table, and adding to it the number of the oldest age but one, 
then to this sum adding the number at the oldest age but two, and so 
on throughout the table. 
.0585 = No. 
in column N 
at age 95 and D at 96. 
.2413 = 
) ) 
D 
) * 
95 
.2998 — 
? y 
N 
i > 
94 
.5591 = 
5 > 
D 
»» 
94 
.8589 = 
5 5 
N 
> > 
93 
Column S is formed from column N, in a manner similar to that in 
which column N is formed from column D.