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.
Solution:
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