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

Mode – mean = k (median – mean)

Mode = mean + k median – k mean

Mode = k median + (1 – k) mean

As per the empirical formula,

Mode = 3 median – 2 mean

Keeping both the equation equal

K median + (1 – k) mean = 3 median – 2 mean

On comparing the co-efficient,

Median, k = 3

Mean, 1 – k = - 2

1 + 2 = k

K = 3

Answer 2

Answer:

Step-by-step explanation:

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…….