How can the median be the greatest number in a set?

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Answer 1 · 2017-02-27T07:52:13

More than half the values have to be equal and are the highest values.

This can only happen if more than half of the values are the same and are all the highest values.

For example:

#1, 2, 3, 4, color(red)(8), 8, 8, 8, 8#

There are nine values, but five of them are the same. The median is the #color(red)8# shown.

The size of the lower values is not involved at all, but all the top half have to be the same.

#0, 1, 2, 3, 3, 5, 5, color(red)(48, 48), 48, 48, 48, 48, 48, 48, 48#

Median = #(48+48)/2 = 48#