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The values of mode and mean are 12.5 and 15.2, respectively, in a moderately asymmetrical distribution. Find the median of the distribution.
Question

The values of mode and mean are 12.5 and 15.2, respectively, in a moderately asymmetrical distribution. Find the median of the distribution.

A.

14.0

B.

14.9

C.

14.3

D.

14.5

Correct option is C

Given:

Mode = 12.5
Mean = 15.2

Formula Used:

Median =2×Mean+Mode3 \frac{2 \times \text{Mean} + \text{Mode}}{3}

Solution:

Median =2×15.2+12.53=30.4+12.53=42.93=14.3 \frac{2 \times 15.2 + 12.5}{3} = \frac{30.4 + 12.5}{3} = \frac{42.9}{3} = 14.3​​

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