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Think of 5 positive integers that have a mode of 3, a median of 5, a mean of 7 and a range of 12.

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clashxpz

For the mode to be 6, there has to be at least two 6s.

For the median to be 6, with two 6s, there must be at least one number above 6.

For the mean to be 6, the sum is 30, so the three remaining numbers must total 18.

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