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An outlier is a number in a data set that is not around all the other numbers in the data. It will always affect the average; sometimes raising the average to a number higher than it should be, or lowering the average to something not reasonable.

Example:

Data Set - 2,2,3,5,6,1,4,9,31

Obviously 31 is the outlier. If you were to average these numbers it would be something greater than most of the numbers in your set due to the 31.

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Q: What is an outlier and what central tendency is affected always by an outlier?
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Which measure of central tendency will the sum of the deviations always be zero?

For which measure of central tendency will the sum of the deviations always be zero?


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