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Any number can be an arithmetic mean. SO just pick any three numbers between -2 and 12.
And if you want to find a set of numbers for which your selected number is a mean add 1 and subtract 1 from it, or add 2 and subtract 2 from it (or do both).
Suppose you pick 8.
Add 1 and subtract 1: 7 and 9. 8 IS the arithmetic mean of 7 and 9.
Add 2 and subtract 2: 6 and 10. 8 is the arithmetic mean of 6 and 10.
It is also the AM of 6, 7, 9 and 10.
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