If the median of the data: 24, 25, 26, x + 2, x + 3, 30, 31, 34 is 27.5, then x =

Terms are 24, 25, 26, x + 2, x + 3, 30, 31, 34


No of terms = 8


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, n = 8



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


median



55 = 2x + 5


2x = 50


x = 25

15