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There are infinitely many sets that will satisfy the requirements.

Three examples are:

{0, 6, 8, 8, 8}

{2, 6, 6, 6, 10}

{√3, 5, 5, 12-2*√3, √3+8}

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Q: What 5 numbers have the mean of 6 and the range of 8?
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What set of 5 numbers have 6 as the median 6 as the mean and 6 as the range?

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