Question:
If the difference of mode and median of a data is 24, then the difference of median and mean is
(a) 12
(b) 24
(c) 8
(d) 36
Solution:
Given: Mode − Median = 24
We know that
Mode = 3Median − 2Mean
Now,
Mode − Median = 2(Median − Mean)
⇒ 24 = 2(Median − Mean)
⇒ Median − Mean = 12
Hence, the correct option is (a).