Question

If the difference between the mode and median is $2$, then the difference between the median and mean (in the given order) is?

• A. $2$
• B. $4$
• C. $1$
• D. $0$

Answer 1

The correct option is C $1$

We know that, Mode $=3\times$Median $-2\times$Mean
$\Rightarrow$ Mode $-$ Median $=2\times ($Median $-$ Mean$)$

$\Rightarrow 2=2\times ($Median $-$ Mean$)$
$\therefore$ Median $-$ Mean $=1$

Hence option (C) is correct