A data set is formed by recording the results of rolling a fair die 200 times. A second data set is formed by rolling a pair of dice 200 times, each time recording the minimum 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 data set.