A contest. This is a standard deviation contest. You must choose four numbers from the whole numbers

Question:

A contest. This is a standard deviation contest. You must choose four numbers from the whole numbers 0 to 9, with repeats allowed.

(a) Choose four numbers that have the smallest possible standard deviation.

(b) Choose four numbers that have the largest possible standard deviation.

(c) Is more than one choice correct in either

(a) or (b)? Explain.

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