Question

The median of the following 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 :

25

Step-by-step Explanation :

Given observation are 11, 12, 14, ( x − 2 ), ( x + 4 ), ( x + 9 ), 32, 38, 47 and median = 24.

∵ n = 9 ( odd )

∴ Median = n + 1 / 2 th term

= 9 + 1 / 2 th term

24 = 5 th term

∴ x + 4 = 24

x = 24 − 4

x = 20

Therefore, 11, 12, 14, ( 20 − 2 ), ( 20 + 4 ), ( 20 + 9 ),32, 38, 47 = 11, 12, 14, 18, 24, 29, 32, 38, 47

Now, Mean= ∑x / n

= 11, 12, 14, 18, 24, 29, 32, 38, 47 / 9

= 225 / 9

= 25