Question

Numbers 50, 42, 35, 2x + 10, 2x − 8, 12, 11, 8 are written in descending order and their
median is 25, find x.

Answer 1

 Given number of observation, n = 8

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

                  = `(2x + 10 + 2x -8)/2`

                  = 2x +1

              Given median = 25

                 ∴ 2x +1 = 25

                    ⇒ 2x = 24

                     ⇒ x = 12