Question

For a certain frequency distribution, the values of median and mode are 95.75 and 95.5, respectively. Find the mean.

Answer 1

Given:
Median = 95.75 and Mode = 95.5
Now,
Mean $-$Mode = 3 (Mean $-$ Median)
$\therefore$ Mean $-$ 95.5 = 3 (Mean $-$ 95.75)
$\Rightarrow$ Mean $-$ 95.5 = 3Mean $-$ 287.25
$\Rightarrow$ 3Mean $-$ Mean = 287.25 $-$ 95.5
$\Rightarrow$ 2Mean = 191.75
$\Rightarrow$ Mean = $\frac{191.75}{2}$ = 95.875