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

Answer 1

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(C) 20

Answer 2

C. 20

Step-by-step explanation:

The arithmetic mean  = 24

Mode of a data = 12  

To find Median, we have to use the relationship between mean, median and mode for a moderately skewed distribution.

Mode = (3 * Median ) − (2 * Mean)

12 = 3 *x -2 (24)

12 = 3x - 48

3x = 60

x = 60/3 = 20

Therefore Median = 20

Option C is the answer.