384 
Miscellanea 
simplify matters we assume that half a base is the only alternative to a whole one the moments 
can be calculated as follows : 
TABLE VIII. 
Modified 
ordinate / 
Distance d 
from 804-6 
ordinate 
fd 
fd' 
fd* 
47-0 
--75 
-35-2 
+ 26-4 
-19-8 
+ 14-8 
804-6 
123-6 
1 
123-6 
123-6 
123-6 
123-6 
15-4 
2 
30-8 
61-6 
123-2 
246-4 
4-5 
3 
13-5 
40-5 
121-5 
364-5 
1-3 
4 
5-2 
20-8 
83-2 
332-8 
996-4 
137-9 
272-9 
431-7 
1082-1 
The series of numbers from which Professor Pearson found the graduated figures given 
in col. (1) of Table VII. was 1, 49, 798, 123, 18, 5, 2 ; but owing almost entirely to the 
differences of 2-6 between 18 and 15-4 and -7 between 2 and 1-3 the totals that are obtained are 
996, 131, 325, 473, 1393, which difter widely from those given above. The mean is very close 
in comparison to that obtained by using the figures as they stand in col. (1) Table VII. but 
the other moments are little better. I give the result of the attempt to find adjustments 
in this awkward case because it shows that the method can give a series of numbers very 
like that required to give a true result, but the small differences make the result unsatisfactory. 
