**The data below represents students’ test scores. Which of the following is the median of the set data?**

**24, 35, 18, 19, 22, 35, 16, 12, 26, 12, 23**

18

22

23

19

*Correct Answer : B*

The median of a data set is found in two ways:

For an odd data set, the median fall in the (N+1)/2 th position.

For an even data set, the median is the average of the element in the (N/2)th and (N+1)/2 th positions.

To find the median of the given data set, we need to arrange the elements from the smallest to the largest as follows:

12, 12, 16, 18, 19, 22, 23, 24, 26, 35, 35

There are 11 elements in the data set. 11 is an odd number and the median fall in the (N+1)/2 th position.

Median =(11+1)/2=12/2=6 th position.

From the organized data, the element in the 6th position is 22, which is the required median for the data set.

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For an odd data set, the median fall in the (N+1)/2 th position.

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