The fuel economies in miles per gallon (mpg) for nine vehicles are listed. 16, 18, 20, 24, 24, 24, 24, 31, 32 If one more vehicle is added to the list with a rate of 40 mpg, how will this affect the mean and median?

The original nine mpg values total 213, so their mean is 213 ÷ 9, or about 23.7 mpg. Adding 40 mpg, which is above that mean, makes the mean increase. The median stays at 24 mpg: in the ordered list of ten values, the fifth and sixth values are both 24, so their average is still 24. Thus, the mean increases and the median does not change.

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