For a given data, if mean and mode are 42 and 60, respectively, then find the median of the data using empirical relation.

Correct option is B

Given:

Mean  = 42

Mode = 60

Formula used:

Mean − Mode = 3(Mean − Median)

Solution:

setting up the equation as follows-

42 − 60 = 3 (42 − Median)

−18 = 3 (42−Median)

−6 =  42 − Median

Median = 42 + 6

Median = 48

So, the median of the data is 48.

Thus, correct answer is (b) 48