A data set is formed by recording the sums of 100 rolls of a pair of dice. A second data set is...

A data set is formed by recording the sums of 100 rolls of a
pair of dice. A second data set is formed by again rolling a pair of dice 100
times but recording the product, not the sum, of the two numbers.

(A) Which of the two data sets would you expect to have the
smaller standard deviation? Explain.

(B) To obtain evidence for your answer to part (A), use a
graphing calculator to simulate both experiments, and compute the standard
deviations of each of the two data sets.