Question

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

Options

• 27

• 25

• 28

• 30

Answer 1

The given observations are 24, 25, 26, x + 2, x + 3, 30, 31, 34.

Median = 27.5

Here, n = 8

Median `=((n/2)^(th) "term" + (n/2 +1)^(th) "term")/2`

`27.5 = (4th  "term" +5th  "term")/2`

`27.5 = ((x +2) +(x + 3))/2`

`27.5 = (2x +5)/2`

`2x +5 =  55`

        `2x = 50`

         `X = 25`

Hence, the correct option is (b).