Question

If the median of 60 observations, given below is 28.5, find the values of x and y.

Answer 1

So, 45 + x + y = 60 

x + y = 60 – 45 = 15 

x + y = 15 ….. (1) 

The median is 28.5 which lies be-tween 20 and 30. 

Median class = 20 – 30 

Lower boundary of the median class ‘l’ = 20

N/2 = 60/2 = 30 

cf – cumulative frequency = 5 + x 

h = 10

8 + y = 15 

y = 7 

∴ x = 8; y = 7.