Question

The mean and median of the data are same. If the numbers are arranged in ascending order, the value of x is 3, 5, x, 9, 11.

विकल्प

• 6

• 7

• 8

• 9

Answer 1

7

Explanation:

Numbers are arranged in ascending order

3, 5, x, 9, 11

n = 5

Median = `(n + 1)/2` 

= `(5 + 1)/2`

= `6/2`

= 3rd

Median = x

The sum of the numbers is = 3 + 5 + x + 9 + 11 = 28 + x

Mean = `(28 + x)/5`

The mean and median of the data are same.

`(28 + x)/5` = x

28 + x = 5x

28 = 5x − x

28 = 4x

x = `28/4`

x = 7