Project 12.3

If you roll a pair of dice 36 times, the expected number of times for rolling each of the numbers is given in the accompanying table. A graph of these data is shown.

a. Find the mean, the variance, and the standard deviation for this model.


b. Roll a pair of dice 36 times. Construct a table and a graph similar to the ones shown in Figure 10. Find the mean, the variance, and the standard deviation for your experiment.

c. Compare the results of parts a and b. If this is a class problem, you might wish to pool from the entire class data before making the comparison.

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