Yes!
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the number that is in the middle of that particular set of numbers.
Yes. That is how the median is defined.
yes it is a good way to describe test scores answer
No, extremely high or low values will not affect the median. Because the median is the middle number of a series of numbers arranged from low to high, extreme values would only serve as the end markers of the values.
Of the mean, median and mode the mean would be most affected.