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.
Answer & explanation
Correct answer: option 4
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 = 6th term
⇒ 36 = k + 3
⇒ k = 36 – 3
∴ k = 33