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23*5 = 115

So pick any four numbers: integers, fractions, irrational numbers, whatever.

Add them together to give a sum S.

Let the 5th number be 115 - S

Then:

sum of all five numbers = (sum of the first four numbers) + (the fifth number)

= S + (115 - S) = 115

And the count of numbers = 5

So mean = Sum/Count = 115/5 = 23

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Q: How do you determine five numbers that have a mean of 23?
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