Question

If in a frequency distribution, the mean and median are $21$ and $22$ respectively, then its mode is approximately

• A. $22.0$
• B. $20.5$
• C. $25.5$
• D. $24.0$

Answer 1

The correct option is D $24.0$

We have,

$Mode+2\times Mean=3\times Median$

$\Rightarrow Mode=3\times Median-2\times Mean$

Given : $Mean=21$ and $Median=22$

Putting the given values, we get
$Mode=3\times 22-2\times 21=66-42=24$.

Hence, option D is correct.