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The values of the mode and the mean are 25.2 and 27.5 respectively in a moderately asymmetrical distribution. Find the value of the median of the dist
Question

The values of the mode and the mean are 25.2 and 27.5 respectively in a moderately asymmetrical distribution. Find the value of the median of the distribution.

A.

26.73

B.

26.20

C.

26.75

D.

26.70

Correct option is A

Given:

Mode = 25.2 

Mean = 27.5 

Formula Used :

Mode = 3Median - 2 Mean 

Solution:

let the median = x 

25.2 = 3×\timesx- 2 ×27.5\times27.5 

25.2 = 3x - 55 

3x = 25.2 + 55 

3x = 80.2 

x = 26.73


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