expressed by a New Formula. 



15 



indicated by the " Carlisle Table " of Mr. Joshua Milne, con- 

 structed in 1815. The latter Table was deduced from observa- 

 tions of Dr. Hey sham, on the general population of both sexes 

 in the town of Carlisle during the nine years ending with 1787, 

 and is now eommonly used in England as the measure of the 

 mortality according to age of selected lives. The Table previ- 

 ously used for that purpose was one specially applicable to selected 

 lives, which was deduced by M. Deparcieux from observations 

 on the mortality, according to age, of persons of both sexes 

 selected as nominees in French Tontines. The Tontine Life Table 

 of M. Deparcieux, as well as his Life Tables for various commu- 

 nities of monks and nuns, was published in the year 1746. 

 Mr. Milne writes thus of these Life Tables of M. Deparcieux : — 

 " They are among the most curious and correct, and of the best 

 authority that have yet been published." The law of mortality 

 for select life differs considerably from that for general life, espe- 

 cially for the period extending from the age 20 to the age 50 

 years. The mortality increases with the age during this period 

 much more slowly in select life than it does in general life. The 

 following Table of " Expectation," or mean duration of future 

 life, in years, at seven different ages, according to the three Tables 

 above referred to, will show how greatly these Tables resemble 

 one another : — 



Age in years 



20. 



30. 



40. 



50. 



60. 



70. 



80. 



Theoretical village 



41-4 

 41-5 

 40-2 



34-3 

 34-3 

 34-0 



277 

 276 

 275 



210 

 21-1 

 20-4 



14-5 

 143 

 14-2 



9-2 

 9-2 



8-7 



5-4 

 5-5 



4-7 



Deparcieux, Tontine ... 



The theoretical Table of " Mean Mortality" which is often 

 referred to in the annexed Tables, indicates rates of mortality 

 which, at all ages exceeding 10 years, are in near agreement 

 with the rates indicated by a Table constructed by Mr. Milne to 

 represent the mortality, according to age, of the population of 

 Sweden and Finland, without distinction of sex, during the 20 

 years ending with 1795. A similar Table, for the same popula- 

 tion during the 21 years ending with 1775, was constructed by 

 Dr. Richard Price in the year 1783. The subjoined Table of 

 "Expectation" at seven different ages will show the relation 

 between the theoretical mean mortality Table and the Swedish 

 Tables of Dr. Price and Mr. Milne. 



Age in years 



20. 



30. 



40. 



50. 



60. 



70. 



80. 



Theoretical mean 



Price's Sweden 



Milne's Sweden 



38-6 

 380 

 39-0 



31-9 

 31-2 

 321 



25-5 

 24-7 

 25-5 



19-2 

 18-5 

 19-0 



131 

 12-6 

 12-8 



8-2 

 77 

 8-0 



4-7 

 4-3 



4-8 





