Question

The median of the observations 11, 12, 14, (x-2), (x+4), (x+9), 32, 38, 47 arranged in ascending order is 24. Find the value of x and hence find the mean​

Answer 1

Answer:

$Here \: number \: of \: terms \: is \: 9.</p><p> \\ so \: median = \frac{n + 1}{2} th \: observation \\ 24 = \frac{9 + 1}{2} th \: observation \\ 24 = 5th \: observation \\ x + 4 = 24 \\ x = 20.$

So observation becomes : 11, 12, 14, 18, 24, 29, 32, 38, 47.

$mean \: = \frac{sum \: of \: observations}{number \: of \: observations} \\ = \frac{225}{9} \\ = 25$

Answer 2

Answer:

this is correct.............................