Question

The arithmetic mean and mode of data are $24$ and $12$ respectively, then find its median value .

Answer 1

As we know that,

$3$ Median $=$ Mode $+2$ mean

Given:-

Mode $=12$

Mean $=24$

$\text{Median}=\frac{\text{Mode}+2\text{mean}}{3}=\frac{12+2\times 24}{3}=\frac{60}{3}=20$

Hence, Median is $20$