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

We have,

Mode = 3 Median − 2 Mean

⇒ Mode − Mean = 3 Median − 3 Mean

⇒ Mode − Mean = 3(Median − Mean) .....(1)

It is given that,

Mode − Mean = k (Median − Mean) .....(2)

From (1) and (2), we get

k = 3