Question

3, 8, 10, x, 14, 16, 18, 20 are in the ascending order and their median is 13. Calculate the numerical value of x.

Answer 1

3, 8, 10, x, 14, 16, 18, 20 is already in ascending order
Here N = 8

∴ `("N"/2)^"th"`term

= `(8/2)`
= 4^th term
= x

`("N"/2 + 1)^"th"`term

= 4 + 1
= 5^th term
= 14
Given, median = 13

∴ `(x + 14)/(2)` = 13

∴ x + 14
= 13 x 2
= 26
⇒ x
= 26 - 14
= 12.