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There cannot be such a set.

If the mean is 10, the mode is 6 and the median is 9, the range must be at least 8.5.

If the mode is 6, the median is 9 and the range is 8, the mean must be less than 9.8.

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Q: What is a set of 5 numbers with a mean of 10 mode of 6 median of 9 and range of 8?
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