Question

Consider the following data set: {4, 5, 6, 7, 10}. If you remove one of the numbers from the list, then the mean increases and the median doesn’t change. Which number is it?

Answer 1

6

Explanation:

Right now, the mean is 6.4 and the median is 6. If you take away 6, the mean would be 6.5 and the median will stay the same. The median will stay the same because when there is no middle number, you add the two closest numbers and divide by two.

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