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If the median of a set of data is 12 and its mean is 10, then find the mode of this data set, using the empirical formula.
Question

If the median of a set of data is 12 and its mean is 10, then find the mode of this data set, using the empirical formula.

A.

14

B.

17

C.

16

D.

15

Correct option is C

Given:

Median of data=12

Mean = 10

Formula Used:

Mode = 3Median - 2Mean

Solution:

Mode = 3Median - 2Mean

 = 3(12) - 2(10)

= 36-20 = 16

Mode of data = 16

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