CONNECTED WITH HUMAN MOETALITT. 
553 
published, to present, as I have done here, the results for the Northampton mortality ; 
and it was my -wish also to insert the satisfactory results I found for the other two, 
but for want of time I am prevented, though I think they would be found interesting. 
The aforesaid formula bears a very different form from the formula of this paper, 
where ^^=6" .h—x.g-=>, &c., the constants here not 
being represented by the same letters as in the former ; these two differ interestingly 
in appearance, and so much so as to lead to surprise that the result of each, for the 
Carlisle mortality, gives such very near approximation to the Table of observation. I 
was therefore, as both formulae have particular features of interest, induced to examine 
by analysis their analytical analogy. 
Northampton Mortality, fi’om the formula sent to the Congress. 
(From the Northampton formula ; the results being from the formula which was printed 
in the Reports of the International Statistical Congress, which results were not given.) 
Age X —\ 
XLj: formula . 
XL^ Morgan . 
0 
4-06633 
4-06633 
1 
3-93704 
3-93702 
2 
3-86626 
3-86231 
3 i 4 
3-82676 ;3-80290 
3-83129 j3-80929 
5 
3-78988 
3-79581 
6 
3-78053 
3-78283 
7 
3-77361 
3-77269 
8 
3-76797 
3-76545 
Age X = 
XL^ lormula . 
XL.r Morgan . 
9 
3-76295 
3-75833 
10 
3-75820 
3-75397 
11 
3-75353 
3-74992 
12 
3-74889 
3-74609 
13 
3-74418 
3-74218 
14 
3-73936 
3-73822 
15 
3-73444 
3-73424 
16 
3-72941 
3-73022 
17 
3-72425 
3-72591 
Age X = 
XL* formula . 
XL* Morgan . 
18 
3-71897 
3-72113 
19 
3-71353 
3-71392 
20 
3-70797 
3-71029 
21 
3-70225 
3-70415 
22 23 
3-69638 I 3-68737 
3-69767 3-69IO8 
24 
3-68II9 
3-68440 
25 
3-67785 
3-67761 
26 
3-67135 
3-67071 
Age X — 
XL* formula . 
XL* Morgan 
27 
3-66468 
3-66370 
28 
3-65433 
3-65658 
29 
3-65080 
3-64933 
30 
.3-64359 
3-64197 
31 
3-63619 
3-63448 
32 
3-62859 
3-62685 
33 
3-62073 
3-61909 
34 
3-61281 
3-61119 
35 
3-60460 
3-60314 
Age X = 
XL* formula . 
XL* Morgan . 
36 
3-59618 
3-59494 
37 
3-58755 
3-38664 
38 
3-57868 
3-57807 
39 
3-56958 
3-56937 
40 
3-56025 
3-56500 
41 
3-55067 
3-55132 
42 
3-54084 
3-54180 
43 
3-53075 
3-53191 
44 
3-52040 
3-52192 
Age X = 
XL* formula . 
XL* Morgan . 
45 
3-50977 
3-51162 
46 
3-49888 
3-50106 
47 
3-48770 
3-49024 
48 
3-47628 
3-47014 
49 
3-46446 
3-46773 
50 
3-45196 
3-45591 
51 
3-43943 
3-44342 
52 
3-42653 
3-43640 
53 
3-41327 
3-41697 
Age X = 
XL* formula . 
XL* Morgan . 
54 
3-39960 
3-40312 
55 
3-38343 
3-38881 
56 
3-37098 
3-37401 
57 
3-35595 
3-35870 
58 
3-34042 
3-34282 
59 
3-32433 
3-32034 
60 
3-30763 
3-30920 
61 
3-29028 
3-29134 
62 
3-27221 
3-27277 
Age X = 
XL* formula . 
XL* Morgan . 
63 
3-25425 
3-23258 
64 
3-23361 
3-22350 
65 
3-21286 
3-21272 
66 
3-19111 
3-19089 
67 
3-16812 
3-16791 
68 
3-14363 
3-14364 
69 
3-11771 
3-11793 
70 
3-09040 
3-09061 
71 
3-06097 
3-06145 
Age X — 
XL* formula . 
XL* Morgan . 
72 
3-02944 
3-03019 
73 
2-99557 
2-99651 
74 
2-95889 
2-95999 
75 
2-91834 
2-92012 
76 
2-87596 
2-87622 
77 
2-82861 
2-82930 
78 
2-77758 
2-77960 
79 
2-72252 
2-72754 
80 
2-63755 
2-67117 
Age X = 
XL* formula . 
XL* Morgan . 
81 
2-59479 
2-60832 
82 
2-51156 
2-539O8 
83 
2-43295 
2-46090 
84 
2-35326 
2-36922 
85 
2-24725 
2-26951 
86 
2-15001 
2-16137 
87 
2-03269 
2-04532 
88 
1-90233 
I-919O8 
89 
1-76507 
1-79239 
Age X = 
XL* formula . 
XL* Morgan . 
90 
1-60203 
1-66276 
91 
1-44327 
1-53479 
92 
1-25940 
1-38021 
93 
1-05593 
1-20402 
94 
1-04019 
-95424 
95 
60181 
60206 
96 
34315 
4 F 2 
