What is the median of the data set?
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Explanation:
The diagram shows us we have this data set
{5, 8, 8, 8, 8, 9, 9, 9, 10, 10}
Cross off the outer most items (the 5 and the second 10) to get this smaller set
{8, 8, 8, 8, 9, 9, 9, 10}
Repeat the last step of crossing off the outer most items to get
{8, 8, 8, 9, 9, 9}
Keep this process going until we have this set of steps
{8, 8, 9, 9}
{8, 9}
We have two items left, which are tied for the middle, so we compute the midpoint
(8+9)/2 = 17/2 = 8.5 is the median
This is the middle most value