This is a standard deviation contest. You must choose four numbers from the whole numbers 0 to 9, with repeats allowed. Choose four numbers that have the smallest possible standard deviation. Chose...

This is a standard deviation contest. You must choose four numbers from the whole numbers 0 to 9, with repeats allowed. Choose four numbers that have the smallest possible standard deviation. Chose four numbers that have the largest possible standard deviation. Is more than one choice correct in either? Explain.