Question

The following observations 40, 42, 45, x-1, x +1, 51, 54, 62 are arranged in

Answer 1

Step-by-step explanation:

Here n = 8 (even number)

$\therefore \: \frac{n}{2} = \frac{8}{2} = 4 \\ \\\&\:\: \frac{n}{2} + 1 = 4 + 1 = 5 \\ \\ hence \: \\ median = \frac{ {4}^{th} term + {5}^{th} term}{2} \\ \\ \therefore \: 49 = \frac{x - 1 + x + 1}{2} \\ \\ \therefore \: 49 = \frac{2x}{2} \\ \\ \therefore \: 49 = x \\ \\ \huge \purple { \boxed{\therefore \: x = 49}}$