Question

If the mode of a series exceeds its mean by 12, then mode exceeds median by:

• A. 12
• B. 24
• C. 6
• D. 8

Answer 1

The correct option is D 8

We are given,
Mode = Mean + 12
$⟹$ Mean = Mode - 12

We know that,
Mode = 3 Median - 2 Mean
$⟹$Mode = 3 Median - 2 (Mode - 12)
$⟹$ Mode = 3 Median - 2 Mode + 24
$⟹$3 Mode - 3 Median = 24
$⟹$ Mode - Median = 8