Use the frequency distribution whose class width is 0.5 obtained in Problem 30 in Section 2.2 to approximate the mean and standard deviation for cigarette tax rates. Compare these results to the actual mean and standard deviation.

0.425 1.339 2.00 0.37 2.00 3.20 1.15 0.57 0.87 1.98 0.84 0.995 3.40 1.36 1.60 0.79 0.60 0.36 2.00 2.00 3.51 2,00 3.43 0.68 0.17 0.45 1.70 0.64 1.53 0.44 0.62 1.25 1.41 1.03 1.70 1.31 2.75 1.60 0.30 3.50 3.025 0.57 0.55 0.80 1.78 2.70 1.66 4.35 2.52 0.60 2.90