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why is the median reslient to outliers while the mean is not reslient to outliers?

why is the median reslient to outliers while the mean is not reslient to outliers?
Math   Statistics-And-Probability   
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Answer #1

The mean is pulled away from the center towards extremes by the presence of outliers, while median is not pulled away from the center. Hence, median is resilient to outliers and is a better measure of central tendency.

For example, consider the data: 1, 2, 5, 5, 9, 9, 74

Mean of the above data = (1+2+5+5+9+9+774) / 7 =  105 / 7 = 115, while

Median = 5

We can see that the Median of 5 is better representative of the center of data than the mean. Hence, Median is resilient to the outlier 774 in the given data

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