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Explanation:
The original data set is {3, 3.9, 3.7, 3.1, 3.3 3.6, 3.5, 3.8}
Those values sort to {3, 3.1, 3.5, 3.7, 3.8, 3.9, 11.88}
There are n = 7 items in the list.
The median will be found in slot 4 because n/2 = 7/2 = 3.5 which rounds to 4.
{3, 3.1, 3.5, 3.7, 3.8, 3.9, 11.88}
Notice how the underlined item in bold (3.7) is in slot 4.
We have three items below the median and three items above the median. That gives n = 3+1+3 = 7 items total.
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Here's another way to find the median.
After sorting the values, cross off the first and last numbers
We go from
{3, 3.1, 3.5, 3.7, 3.8, 3.9, 11.88}
to
{3.1, 3.5, 3.7, 3.8, 3.9}
Then we repeat the step of crossing off the outermost numbers to get
{3.5, 3.7, 3.8}
Then once more to get
{3.7}
We end up with exactly one value, so this is the middle-most item aka the median.
