Karl Pearson 
TABLE I. 
Percentages of Frequenci/ fro))i Mean to Deviattoii>i in Fimt Column. 
13 
In Excess of Mean 
In Defect of Mean 
Calculated 
Calculated 
Up to 
Actual 
Gaussian 
Skew Curve 
Up to 
Actual 
Gaussian 
Skew Curve 
•5 
4-73 
4-74 
4-73 
- -5 
4-73 
4-74 
4-72 
1-0 
13-77 
13-97 
13-77 
- 1-5 
14-08 
13-97 
14-02 
2-5 
21-98 
22-44 
22-06 
- 2-5 
22-80 
22-44 
22-76 
3-5 
29-04 
29-79 
29-27 
- 3-5 
30-46 
29-79 
30-42 
4-6 
34-83 
35-83 
35-07 
- 4-5 
36-78 
35-83 
36-72 
5-5 
39-40 
40-5] 
S9-62 
- -^-^ 
41-65 
40-51 
41-50 
6-5 
42-81 
43-94 
43-09 
- 6-5 
45-15 
43-94 
44-99 
7-5 
45-23 
46-31 
45-41 
- 7-5 
47-49 
46-31 
47-28 
8-5 
46-88 
47 -86 
47-12 
- 8-5 
48-93 
47-86 
48-69 
9-5 
47-96 
48-82 
48-21 
- 9-5 
49-74 
48-82 
49-46 
10-5 
48-63 
49-38 
48-89 
- 10-5 
50-16 
49-38 
49-91 
11-5 
49-04 
49-69 
49-28 
-11-5 
50-37 
49-69 
50-11 
12-5 
49-26 
49-86 
49-50 
-12-5 
50-46 
49-86 
50-18 
13-5 
49-39 
49-94 
49-66 
-13-5 
50-49 
49-94 
50-18 
14-5 
49-45 
49-97 
49-72 
-14-5 
50-49 
49-97 
50-18 
15-5 
49-49 
49-99 
49-77 
-15-5 
49-99 
16-5 
49-51 
50-00 
49-82 
- 16-5 
50-00 
and 
1 dy _ 
\ VQP(m +1) o-c 
will be the equation to the curve associated now with the binomial {p + q)" 
us write it in the form 
l_djj 
yd 
a 
a 
Here « = - ^ ^_ p ^» = ^ Q^p— ^' ^"^^^ {Q-W ' 
and integrating ' y = i/„e '* (^1 + ' 
where the origin is the mode. 
The distance from the mode to the mean is 
and 
d = al\^l J ^'I .a„=i{Q~ F) c 
^ \'QF{m + 1) 
Let 
a r(A. + 1)' 
