Question

In the graphical representation of a frequency distribution, if the distance between mode and mean is k times the distance between median and mean, then write the value of k.

Answer 1

SOLUTION :  

The Empirical relationship between the three measures of Central tendency mean, mode and median is given by :  

MODE = 3 ( median) - 2( mean)

Mode - mean = 3 (median) - 2( mean) - mean  

[On subtracting ‘mean’ from both sides]

Mode - mean = 3 median - 3 mean

Mode - mean = 3 (median -  mean) ………..(1)  

Given :  

Mode - mean = k(median -  mean)....……..(2)

From eq 1 & 2,  

k = 3  

Hence, the value of k is 3 .

HOPE THIS ANSWER WILL HELP YOU…….

Answer 2

U can use empherial formula
3Median = 2Mean + Mode