We say that the median is a resistant measure, whereas the mean is not a resistant measure. What's a resistant measure?

Answer 1

A measure that remains unaffected by outliers is called resistant.

For instance, if we have a list of numbers that is ordered:

1, 3, 4, 5, 6, 7, and 50.

11 is the mean, and 5 is the median.

The median would remain 5 even if the last number in the ordered list was much larger because it simply provides the middle number in an ordered list of numbers. In this case, the mean is larger than most of the numbers on the list because it is influenced by 50, in this case a strong outlier.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.