to Age, and the "English Life Table." 



31 



to —mphlt, as is alleged by Dr. Farr. Even if this had been the 

 true differential, the integral thereof could not have been at all 

 similar to my formula (of 1832), which is derived from the dif- 

 ferential —oLphit ; for m is a function of t, whilst a is a constant. 



Table I. — Proportional numbers Living or Surviving at decennial inter- 

 vals of age, according to three theoretical Tables of Mortality, compared 

 with similar numbers exhibited by three well-known Tables of Mortality 

 not supposed to be regulated by any definable law according to age. 



Age in 



Hevsham 



Edmonds's 



Milne's 



Edmonds's 



Halley's 



Breslau 

 (1693). 



Edmonds's 



and Milne. 



" Village 



Sweden. 



"Mean 



" City 



j ears. 



Carlisle 



Mortality" 



Males to 



Mortality" 



Mortality' ' 





(1815). 



(1832). 



1795. 



(1832). 



(1832). 







1562 



1514 



1642 



1465 



1916 



1611 



5 



1062 



1063 



1089 



1064 



1133 



1080 



10 



1009 



1010 



1015 



1013 



1023 



1016 



12 



1000 



1000 



1000 



1000 



1000 



1000 



15 



984 



983 



981 



980 



972 



975 



25 



919 



919 



906 



904 



888 



881 



35 



838 



840 



810 



811 



759 



770 



45 



739 



744 



702 



701 



615 



641 



55 



636 



632 



566 



576 



452 



502 



65 



472 



476 



390 



410 



297 



328 



75 



262 



259 



174 



197 



136 



132 



85 



70 



70 



34 



41 



23 



18 



90 



22 



22 



10 



10 



2 



3 



95 



5 



4 



2 



1 







Table II. — Comparison of the numbers Surviving at successive quin- 

 quennial intervals of age, according to the "English Life Table" for 

 Males, with similar numbers from two theoretical Tables ; the common 

 basis adopted being 1000 Living or Surviving at the age 12 years. 





Edmonds 



s " Mean 



English Life Table. 



Edmonds' 



s formula 



Age. 



Mortality 



" (1832). 



Males (1864). 



of 1866. 



Living. 



Dying in 

 5 years. 



Living. 



Dying in 

 5 years. 



Living. 



Dying in 

 5 years. 







1465 



401 



1465 



405 



1427 



372 



5 



1064 



51 



1060 



49 



1055 



44 



10 



1013 



33 



1011 



25 



1011 



28 



15 



980 



36 



986 



31 



983 



31 



20 



944 



40 



955 



40 



952 



34 



25 



904 



44 



915 



43 



918 



38 



30 



860 



49 



872 



45 



880 



43 



35 



811 



53 



827 



48 



837 



48 



40 



758 



57 



779 



53 



789 



55 



45 



701 



61 



726 



58 



734 



61 



50 



640 



64 



668 



68 



673 



70 



55 



576 



74 



600 



78 



603 



79 



60 



502 



92 



522 



90 



524 



88 



65 



410 



105 



432 



105 



436 



97 



70 



305 



108 



327 



110 



339 



103 



75 



197 



93 



217 



99 



236 



101 



80 



104 



63 



118 



70 



135 



83 



85 



41 



31 



48 



34 



52 



44 



90 



10 



9 



14 



12 



8 



8 



95 



1 



1 



2 



2 



° 







