Question

If the difference of Mode and Median of a data is 24, then the difference of median and mean is ______.

Options

• 12

• 24

• 8

• 36

Answer 1

If the difference of Mode and Median of a data is 24, then the difference of median and mean is 12.

Explanation:

Given: Mode − Median = 24

We know that

Mode = 3Median − 2Mean

Now, Mode − Median = 2(Median − Mean)

⇒ 24 = 2(Median − Mean)

⇒ Median − Mean = 12