# 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

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