Q. 104.0( 5 Votes )
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
(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
k = 3
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