If 35 is removed from the data: 30, 34, 35, 36, 37, 38, 39, 40, then the median increases by

Given series is,

30, 34, 35, 36, 37, 38, 39, 40

We know that, if even no of terms or observations are given, then the median of data is mean of the values of term and term. Where n is no of terms.

In this case, no of terms,n = 8

i.e. median of above data is mean of 4^th and 5^th term

In this case,

4^th term = 36

5^th term = 37

⇒ median

⇒ median = 37.5

If 35 is removed, the series will be

30, 34, 36, 37, 38, 39, 40

No of terms = 7

We know that if there are odd number of terms in a data, then the median of data is term. Where n is no of terms

n = 7

median = 4^th term = 37

Difference in both medians = 37.5 - 37 = 0.5

Hence, median increases by 0.5.