28 6 Dr. Young’s formula for expressing 
derived from the parish registers, which, when thus incorpo^ 
rated with tables formed in the country, will be freed from 
the objections that have been made to the observations of 
burials in great cities only. 
The Carlisle table agrees in the earlier parts pretty nearly 
with the observations of Mr. Morgan on the experience of 
the Equitable Office from 1768 to 1810, as it appears from 
Mr. Milne’s comparison, as well as from the reduction and 
interpolation of those observations published by Mr. Gom« 
pertz in the Philosophical Transactions for 1825 : but for 
correcting the later portions of the Carlisle table, it may be 
allowable to employ a subsequent register of the experience 
of the Equitable Office, so far as it is possible to make any 
inferences from it with safety. 
The numbers of deaths occurring in 20 years, as recorded 
by Mr. Morgan, might have been made the foundation of a 
very valuable determination of the mortality occurring in a 
certain class of persons, if the number of the Equitable Society 
had become stationary before the commencement of the 
record: but in order to deduce from it a just estimate of the 
value of life, it would then be necessary to alter the numbers of 
deaths at each age, in the inverse proportion of the numbers of 
the living compared : that is to say, not simply of the sums of 
the persons admitted under that age, but of the numbers of 
persons born whom they represent : since, in comparing the 
joint mortalities of any two lists of persons, we must obviously 
add together the deaths belonging, not to a given number 
of persons of various ages, but of a number proportionate 
to the survivors at the respective ages out of a given number 
of births, so that in this manner the apparent mortality in the 
