How does the arithmetic and geometric mean compare on


Problem

1. Construct a probability distribution where none of the mass lies within one σ of the mean.

2. How does the arithmetic and geometric mean compare on random integers?

3. Show that the arithmetic mean equals the geometric mean when all terms are the same.

4. True or false: a correlation coefficient of -0.9 indicates a stronger linear relationship than a correlation coefficient of 0.5. Explain why.

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