Question

Let say if the mode of a series exceeds its mean by 24, then the mode exceeds median by:

• A. 4
• B. 8
• C. 16
• D. 12

Answer 1

The correct option is C

16

Given: Mode = Mean + 24

We know that, Mode = 3 Median - 2 Mean

$\Rightarrow$ Mode = 3 Median - 2 (Mode -24)
$\Rightarrow$ Mode = 3 Median - 2 Mode+48
$\Rightarrow$ 3 Mode - 3 Median = 48
$\therefore$ Mode - Median = 16