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​For a data, if the mean is 28.5 and the median is 32, then the mode using empirical formula is:
Question

​For a data, if the mean is 28.5 and the median is 32, then the mode using empirical formula is:

A.

40

B.

42

C.

39

D.

41

Correct option is C

Given:
Mean = 28.5, Median = 32.

Formula Used:

Mode=3Median2Mean\text{Mode} = 3 \cdot \text{Median} - 2 \cdot \text{Mean}​​

Solution:

Mode=3×322×28.5=9657=39\text{Mode} = 3 \times 32 - 2 \times 28.5 = 96 - 57 = 39 ​​

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