252 



Tables for Statisticians and Biometricians 



Table for determining the Mode r of a Frequency Distribution of considerable 

 Size n when the Correlation in the Sampled Population is known to be p. 



The required value of the mode is 



r = p + 



"3 0) 



n _ i ' (^ _ 1)2 ' ( n _ 1)3 ( n _ !)4> 



when p is positive; if p be negative r has the same value as for p positive, but with 

 opposite sign. 



TABLE LP. Functions required in determining the Mode of a large 

 or fairly large Sample. 



The above Table will give the value of r correctly to about the sixth figure if 

 %=100 or more, to about the fourth figure if n = 25 or more. Below 25 it can 

 only serve as a "taking off point" for more accurate approximations, and these are 

 fairly troublesome if n be very low. It will be found best not to interpolate for the 

 separate z/s but for the expression as a whole. 



