Question

If a mode exceeds a mean by 12, then the mode exceeds the median by ______.

Answer 1

If a mode exceeds a mean by 12, then the mode exceeds the median by 8.

Explanation:

From Mode = 3 × Median − 2 × Mean,

Mode − Mean = 3 × (Median − Mean)

Since Mode − Mean = 12, Median − Mean = 4

Hence Mode − Median = 12 − 4 = 8.