Question

For a certain frequency distribution, the value of mean is $27$ and mode is $12$. Find the value of median

Answer 1

Given: Mode $=12,$ Mean $=27$
$\therefore$ Mode $=3\times$ Median $-2\times$ Mean
$\Rightarrow 12=3\times$ Median $-2\times 27$
$\Rightarrow 3\times$ Median $=12+54$
$\Rightarrow$ Median $=\frac{66}{3}=22$