Question

If the mean and mode of a frequency distribution be $53.4$ and $55.2$ respectively, find the median.

Answer 1

Given: Mean $=53.4$

Mode $=55.2$

We know that Mode $=3\times$ Median $-2\times$Mean

$\Rightarrow 55.2=3\times$ median $-2\times 53.4$

$\Rightarrow 3$ Median $=55.2+106.8$

$\Rightarrow$ Median $=\frac{162}{3}=54$