Use the frequency distribution whose class width is 4 obtained in Problem 29 in Section 2.2 to approximate the mean and standard deviation exit velocity. Compare these results to the actual mean and standard deviation exit velocity.

111.0 102.1 105.8 104.3 101.8 101.4 108.7 104.6 105.9 101.0 100.6 104.0 105.5 99.3 104.2 108.3 99.9 102.9 103.4 106.5 103.2 104.1 101.2 102.8 106.6 100.8 93.8 96.4 107.3 103.0 100.5 105.9 107.1 97.6 90.9 105.1 107.3 103.4 99.5 109.3 104.6 104.0 103.6 102.7 112.2 99.7 100.4 94.8 100.7 104.7