The marks of Eleven students in ascending order for a test are given below with Median as 36, the value of k is:

10, 12, 16, 25, 28, k + 3, k + 5, 43, 45, 47, 53.

33

10, 12, 16, 25, 28, k + 3, k + 5, 43, 45, 47, 53.

n = 11 (odd number)

Median = \(\frac{(N + 1)}{2}\)^th term

⇒ 36 = \(\frac{(11 + 1)}{2}\)^th term

⇒ 36 = \(\frac{(12)}{2}\)^th term

⇒ 36 = 6^th term

⇒ 36 = k + 3

⇒ k = 36 – 3

∴ k = 33