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If the mean of a data is 65 and its mode is 23 then the median using empirical formula is:
Question

If the mean of a data is 65 and its mode is 23 then the median using empirical formula is:

A.

53

B.

54

C.

51

D.

52

Correct option is C

Given:

Mean = 65
Mode = 23

Formula Used:

Mean – Mode = 3(Mean – Median)

Solution:
65 – 23 = 3(65 – Median)
42 = 195 – 3 × Median
3 × Median = 195 – 42
3 × Median = 153
Median = 1533\frac{153} 3​​
Median = 51

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