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The mean and the mode of a set of data are 58.7 and 61.1 , respectively. Find the median of the data, using the empirical formula.
Question

The mean and the mode of a set of data are 58.7 and 61.1 , respectively. Find the median of the data, using the empirical formula.

A.

54.6

B.

55.2

C.

55.8

D.

59.5

Correct option is D

Given:

Mean = 58.7

Mode = 61.1

Formula Used:

3Median = 2Mean + Mode

Solution:

3Median = 2Mean + Mode

3Median = 2(58.7) +(61.1)

3 Median = 117.4+61.1

Median = 178.53\frac{178.5}{3}​​

Median = 59.5

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