If 10, 13, 15, 18, x + 1, x + 3, 30, 32, 35, 41 are ten observations in an ascending order with median 24, Find the value of x.

Question

Philoid · Accepted Answer

10 observations in ascending order = 10, 13, 15, 18, x + 1, x + 3, 30, 32, 35, 41

n = 10 (even)

Median = 1/2 [value of (n/2)th term + value of (n/2 + 1)th term]

Median = 1/2 [value of 5th term + value of 6th term]

Median = 1/2 [(x + 1) + (x + 3)] = (2x + 4)/2

Given median = 24

⇒

⇒ 2x + 4 = 24 × 2

⇒ 2x + 4 = 48

⇒ 2x = 48 – 4 = 44

⇒ x = 44/2 = 22