# How can the median be the greatest number in a set?

More than half the values have to be equal and are the highest values.

Only when more than half of the values are identical and the highest values possible can this occur.

As an illustration:

The upper half must all be the same, but the size of the lower values is completely irrelevant.

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The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order. If the set contains an odd number of elements, the median is the middle number. However, if the set contains an even number of elements, the median is the average of the two middle numbers.

If the greatest number in the set is also the middle number (or one of the two middle numbers in the case of an even number of elements), then the median can be the greatest number in the set. This happens when the set is arranged in such a way that the greatest number falls in the middle or is one of the two middle numbers, and the other numbers are distributed around it.

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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.

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.

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.

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