The arithmetic mean and mode of a data
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).

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