If there is an even number of values when computing the median, how is the median determined?

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Multiple Choice

If there is an even number of values when computing the median, how is the median determined?

Explanation:
When there is an even number of values, there isn’t a single middle value. The median should sit between the two central values so that half the data lies at or below it and half at or above it. To find it, sort the data, take the two central values, and compute their average. This places the median exactly between those two middle values. For example, with six numbers arranged in order, the middle two are the third and fourth values; averaging them gives the median. This approach keeps the median representative of the dataset’s center. Taking just one middle value would ignore the other central value, discarding the smallest would distort the data’s center, and using the maximum would clearly not reflect the dataset’s typical value.

When there is an even number of values, there isn’t a single middle value. The median should sit between the two central values so that half the data lies at or below it and half at or above it. To find it, sort the data, take the two central values, and compute their average. This places the median exactly between those two middle values.

For example, with six numbers arranged in order, the middle two are the third and fourth values; averaging them gives the median. This approach keeps the median representative of the dataset’s center.

Taking just one middle value would ignore the other central value, discarding the smallest would distort the data’s center, and using the maximum would clearly not reflect the dataset’s typical value.

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