Question

Find the median for the scores: 93,69,72,86,72,95,88,74,72,89,89,95,74,79

Answer 1

A set of data is given and it is required to find the median:

`93,69,72,86,72,95,88,74,72,89,89,95,74,79`

Recall that the Median is the middle element or the mean of two middle elements in a numerical data set with the elements ordered by their value.

Hence, to find the median, rearrange the scores either in ascending or descending order.

`69,72,72,72,74,74,79,86,88,89,89,93,95,95`

Next, highlight the two middle numbers since the frequency of the scores is even (14):

`69,72,72,72,74,74,\boxed{79,86},88,89,89,93,95,95`

Find the mean of the two middle numbers to calculate the median for the scores:

`(79+86)/(2)=(165)/(2)=82.5`

Hence, the median score is 82.5.

The median score is 82.5.