Question

If mode of data is 45,mean is 27 then find the median?

Answer 1

Solution :

Given mode of data = 45

Mean of data = 27

Median of data = ?

We know that

Emprical relationship between central tendencies is

Mode = 3 Median - 2 Mean.

Mode + 2 Mean = 3 Median.

Substituting the given values,

45 + 2 ( 27 ) = 3 Median

45 + 54 = 3 Median

15 + 18 = Median

33 = Median.

Therefore, Median of the data is 33