Answer :
There is only 1 possible list of positive integers that have a mean, median, mode, and range of 5
As per the data given,
We have, a lit of 5 positive integers.
The sum of the five positive integers must equal five in order for the mean, median, mode, and range to all be five.
This is because the range of a set of equal numbers will always be 0, the mean of a set of equal numbers will always equal the numbers themselves, the median of a set of equal numbers will always equal the mean, the mode of a set of equal numbers will always equal the numbers themselves, and so on.
Therefore, there is only 1 possible list of positive integers that have a mean, median, mode, and range of 5: [5, 5, 5, 5, 5].
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