Question: Converging to normality: Each student rolls two dice five times. Each time, record both the sum and the product of the numbers on the dice.

Converging to normality: Each student rolls two dice five times. Each time, record both the sum and the product of the numbers on the dice.

Compute the mean and standard deviation of the five sums and of the five products. Construct histograms of the means of the sums and the means of the products. Which histogram is closer to the normal distribution? Now construct histograms of the individual sums and products. How do these histograms explain the results observed for the histograms of the means? How would the results differ if you rolled the dice 50 times rather than 5?

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