Answer: Median = 81
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Explanation:
The stem and leaf plot shows we have the following data items
{56, 67, 67, 69, 72, 74, 77, 77, 78, 81, 82, 82, 83, 84, 88, 90, 92, 93, 94}
Cross off the outermost items.
So cross off the first and last items to get this smaller set
{67, 67, 69, 72, 74, 77, 77, 78, 81, 82, 82, 83, 84, 88, 90, 92, 93}
Repeat that process again
{67, 69, 72, 74, 77, 77, 78, 81, 82, 82, 83, 84, 88, 90, 92}
Repeat again
{69, 72, 74, 77, 77, 78, 81, 82, 82, 83, 84, 88, 90}
Do so another time. We keep going til we get 1 or 2 values
{72, 74, 77, 77, 78, 81, 82, 82, 83, 84, 88}
{74, 77, 77, 78, 81, 82, 82, 83, 84}
{77, 77, 78, 81, 82, 82, 83}
{77, 78, 81, 82, 82}
{78, 81, 82}
{81}
The last value is the median as it is in the very middle. So the median is 81.
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Check out the attached image below to see the various items crossed off. Note the color coding to see how the terms pair up when crossed off. Only the 81 isn't crossed off showing it is the middle most value.
