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.
Distance between mode and mean = mode - mean
Distance between median and mean = median - mean
Given that,
(mode - mean) = k(median - mean)
⇒ mode - mean = k median - k mean
⇒ mode = k median - k mean + mean
⇒ mode = k median - (k-1) mean
Comparing it with empirical relation, i.e.
mode = 3 Median - 2 mode
We get,
k = 3