Question

What is the Median for the following set of numbers? ​21 23 76 47 55 135 45 30 17

Answer 1

Median = 45

Explanation:

We are given the following data set:

21, 23, 76, 47, 55, 135, 45, 30, 17

Median is the number that divides the data into two equal parts.

Formula:

`Median:\\\text{If n is odd, then}\\\\Median = \displaystyle(n+1)/(2)th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle((n)/(2)th~term + ((n)/(2)+1)th~term)/(2)`

Sorted data:

17, 21, 23, 30, 45, 47, 55, 76, 135

Sample size = 9, which is odd

Median =

`(9+1)/(2)^(th)\text{ term} = (10)/(2)^(th)\text{ term} = 5^(th)\text{ term}\\\\= 45`

The median of given set of numbers is 45.