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

Sagot :

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

[tex]93,69,72,86,72,95,88,74,72,89,89,95,74,79[/tex]

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.

[tex]69,72,72,72,74,74,79,86,88,89,89,93,95,95[/tex]

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

[tex]69,72,72,72,74,74,\boxed{79,86},88,89,89,93,95,95[/tex]

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

[tex]\frac{79+86}{2}=\frac{165}{2}=82.5[/tex]

Hence, the median score is 82.5.

The median score is 82.5.