Question

If for a certain frequency distribution, Median $=156$ and Mode $=180$, find the value of Mean.

Answer 1

we know that Mean $-$ Mode $=3$ [Mean-Median]
$\therefore$ Mean$-180=3[$Mean$-156]$
$\therefore$ Mean$-180=3\times$ Mean$-468$
$\therefore$ Mean$-3$ Mean $=-468+180$
$\therefore$ $-2$ Mean$=-288$
$\therefore$ Mean $=\frac{288}{2}$
$\therefore$ Mean $=144$