Question

The arithmetic mean and mode of a data are 24 and 12 respectively, then find the median of the data.

Answer 1

Mean = 24

Mode = 12

We know that mode = 3 median - 2 mean

12 = 3 median - 2 $\times$ 24

$\Rightarrow$ 12 = 3 median - 48

$\Rightarrow$ 3 median = 12 + 48 = 60

$\therefore$ Median $=\frac{60}{3}$ = 20