Question

If the difference of mode and median of a data is 24, then the difference of median and mean is
(a)12
(b)24
(c)8
(d)36

Answer 1

SOLUTION :  

The correct option is (a) : 12

Given : Mode - Mean = 24  

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

MODE = 3 median - 2 mean

Mode - median = 2 median - 2 mean  

Mode - median = 2 (median -  mean)

24 = 2 (median -  mean)

Median -  Mean = 24/2 = 12

Median -  Mean = 12

Hence, the (Median -  Mean)  is 12 .

HOPE THIS ANSWER WILL HELP YOU……

Answer 2

Mode = 3Median - 2Mean

Mode - Median = 2Median - 2Mean

Mode - median = 24

So,

24 = 2Median - 2Mean

Divide the equation by 2

Median - Mean = 12

So the answer is option (a)



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