Q. 354.7( 3 Votes )

If 35 is removed

Answer :

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 4th and 5th term


In this case,


4th term = 36


5th 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 = 4th term = 37


Difference in both medians = 37.5 - 37 = 0.5


Hence, median increases by 0.5.

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