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If the sample has an odd number of items in it then the median will definitely be in the sample at least once because the median is value of the set of data items whose value(s) are in the middle of the sample when the sample is sorted from smallest to largest.

If the sample has an even number of items in it then if the middle items are different the median will be their average, and it will differ from all of the items in the data set.

I could continue in this vein but already you can see that the median sometimes occurs in a data set but not always.

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Q: Is median always sometimes or never in a data set?
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