Question

If the median of the data: 6, 7, x − 2, x, 17, 20, written in ascending order, is 16. Then x=

Options

• 15

• 16

• 17

• 18

Answer 1

The given observations arranged in ascending order are

6,7,x-2 , x, 17,20

n = 6 (even), median = 16

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

                 `=(3rd "term "+ 4th" term")/2`

                `= (2x -2)/2`

               `= 16 = (2x -2)/2`

  ` 2x -2 = 32`

         `x = 17`

Hence, the correct option is (c).