Question

If the difference of mode and median of a data is 24, then find the difference of median and mean.

Answer 1

Mode - Median = 24

$\therefore$ Mode = 24 + median

But mode = 3 median - 2 mean

$\therefore$ 3 median - 2 mean = 24 + median

3 median - median - 2 mean = 24

$\Rightarrow$ 2 median - 2 mean = 24

$\Rightarrow$ Median - Mean = 12