Basic College Mathematics (10th Edition)

The median is a better measure of central tendency than the mean when there is an extremely big or an extremely small number (called an outlier) in the data set. Example: $1, 2, 3, 4, 5, 105$ Mean = $\dfrac{1+2+3+4+5+105}{6}=20$ Median = $\dfrac{4+5}{2}=4.5$ In the data set above, it is clear that the better measure of central tendency if the median as the value of the mean is too big.