Question

The arithmetic mean and mode of a data are 24 and 12 respectively, then its median is
(a)25
(b)18
(c)20
(d)22

Answer 1

Answer:

Your answer is 20

Answer 2

SOLUTION :  

The correct option is (c) : 20

Given : Mean = 24 , Mode = 12

The Empirical relationship between the three measures of Central tendency mean, mode and median is given by :  

MODE = 3 ( median) - 2( mean)

12 = 3(Median) - 2(24)

12 = 3(Median) - 48

12 + 48 =  3(Median)

60 =  3(Median)

Median = 60/3  

Median = 20

Hence, the Median is 20 .

HOPE THIS ANSWER WILL HELP YOU……