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Explanation
We are given the following:
[tex]80,68,77[/tex]We are required to determine the following:
• Mean
,• Median
- First, we arrange the data given in ascending (least to greatest) order. We have:
[tex]68,77,80[/tex]We know that the mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
Therefore, we have:
[tex]\begin{gathered} Mean=\frac{68+77+80}{3} \\ Mean=\frac{225}{3} \\ Mean=75 \end{gathered}[/tex]Hence, the mean is:
[tex]Mean=75[/tex]Also, we know that the median is the middle number in a sorted, ascending or descending, list of numbers.
Therefore, we have:
[tex]\begin{gathered} 68,77,80 \\ Middle\text{ }number=77 \end{gathered}[/tex]Hence, the median is:
[tex]Median=77[/tex]