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The mean of a data is 42 and its median is 53. The mode (using empirical relation) of the data is:
Question

The mean of a data is 42 and its median is 53. The mode (using empirical relation) of the data is:

A.

169

B.

75

C.

24

D.

100

Correct option is B

Given:

Mean = 42

Median = 53

Formula Used:

Mode = 3 × Median − 2 × Mean

Solution:

Mode = 3 × 53 − 2 × 42

= 159 − 84 = 75

The mode of the data is 75

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