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 4^th and 5^th term

⇒ median

⇒ 55 = 2x + 5

⇒ 2x = 50

⇒ x = 25