Question

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

ascending order.
If the median is 49, find the value of 'x'.
Hence find the mean of the above observations.​

Answer 1

Explanation:

Here n = 8 (even number)

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