418 
Miscellanea 
A comparison of the amount of labour required in the two modes of calculation is shown in 
the following table (where t*F r = L) : — 
Simplified method. 
Number of 
products + quotients 
Summation method. 
Number ot products 
71 = 2 
2 
of two terms 
4 of 2 terms 
= ;i 
6 
8 „ 3 „ 
= 4 
12 
16 „ 4 „ 
20 
?' 
32 „ 5 „ 
= G 
30 
55 
64 „ 6 „ 
42 
55 
128 „ 7 „ 
= 8 
56 
55 
55 
256 „ 8 „ 
- 9 
72 
512 „ 9 „ 
= 10 
90 
1024 „ 10 ., 
2" of ii terms 
= n 
11 {ii - 
■ 1) of two terms 
In the case of the Amritsar district the actual frequencies were 
Fu= 155 
F x = 183 
F,= 211 
^3= 230 
F±= 169 
F s = 93 
F 6 = 21 
2*^=1062 
obviously the distribution was not a random one. 
As examples of distributions in which accordance with the laws of chance was more marked, 
I quote two instances from the statistics collected by the Plague Commission. 
Na,me of 
Village 
Total 
Numher of 
Houses 
Number of houses attacked in 
First 
Epidemic 
Second 
Epidemic 
Third 
Epidemic 
Fourth 
Epidemic 
Dhand 
Kasel 
418 
806 
101 
308 
198 
252 
40 
230 
26 
67 
The comparative agreement between calculated and observed frequencies is shown in the 
following table : — 
