Question

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

Answer 1

Given: Mode − Mean = 12 .....(1)

We know that,

Mode = 3Median − 2Mean

∴ Mode − Mean = 3(Median − Mean)

⇒ 3(Median − Mean) = 12

⇒ Median − Mean = 4 .....(2)

Subtracting (2) from (1), we get

(Mode − Mean) − (Median − Mean) = 12 − 4

⇒ Mode − Median = 8

So, the mode exceeds median by 8.

If a mode exceeds a mean by 12, then the mode exceeds median by ____8____.