#### Question

Following 10 observations are arranged in ascending order as follows.

2, 3, 5, 9,

*x*+ 1,*x*+ 3, 14, 16, 19, 20If the median of the data is 11, find the value of

*x*#### Solution

The 10 observations are arranged in ascending order as follows:

2, 3, 5, 9,

*x*+ 1,*x*+ 3, 14, 16, 19, 20Since, the median of the data is 11.

As, the number of observations = 10, which is an even number.

Median = 11

As, the number of observations = 10, which is an even number.

Median = 11

⇒ `1/2 [ (10/2)th observation + ( 10/2 + 1)th observation `= 11

⇒ ` 1/2 xx [ 5th observation + 6th observation ]` = 11

⇒ `1/2 [ x + 1 + x + 3] = 11

⇒ 2x + 4 = 2 x 11

⇒ 2x = 22 - 4

⇒ x = `18/2` = 9

So, the value of

*x*is 9. Is there an error in this question or solution?

Solution Following 10 Observations Are Arranged in Ascending Order as Follows. 2, 3, 5, 9, X + 1, X + 3, 14, 16, 19, 20 If the Median of the Data is 11, Find the Value of X Concept: Measures of Central Tendency.