Question:
The arithmetic mean and mode of a data are 24 and 12 respectively, then its median is
(a) 25
(b) 18
(c) 20
(d) 22
Solution:
Given: Mean = 24 and Mode = 12
We know that
Mode = 3Median − 2Mean
⇒ 12 = 3Median − 2 × 24
⇒ 3Median = 12 + 48 = 60
⇒ Median = 20
Hence, the correct option is (c).