Answer
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.
Refer to the example below.
Work Step by Step
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.
