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Median from Frequency Distribution Table

In a moderate...

Question

In a moderately a symmetrical distribution- The mean and mode are $50$ and $37.5$ respectively, find median.

A

45.50

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B

45.86

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C

52.5

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D

52.86

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Solution

The correct option is B $45.86$
Using the empirical relation between mean, median and mode, we can write X $- M_{0} = 3 (X - M_{d})$ or $2 X = 3 M_{d} - M_{0}$ ; $45.83$ .

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