Question

If for a moderately skewed distribution, Mode $=60$ and Mean $=66$, then median $=$

• A. $60$
• B. $64$
• C. $68$
• D. None of these

Answer 1

The correct option is B $64$

We have mean $=66$, mode $=60$
Thus using the relation: mode $=3\times$median $-$ $2\times$mean

$\Rightarrow 60=3\times median-(2\times 66)$

$\Rightarrow 60+(2\times 66)=3\times median$
$\Rightarrow$ $median$ $=\frac{60+(2\times 66)}{3}=64$