Use the frequency distribution whose class width is 0.5 obtained in Problem 37 in Section 2.2 to approximate the mean and standard deviation for cigarette tax rate& Comparel these results to the actual mean and standard deviation.

3.025 0.80 1.53 1.66 0.17 0.60 1.60 0.45 1.78 2.70 3.00 1.18 2.00 1.56 1.41 1.15 0.98 4.35 0.57 2.24 1.60 0.87 1.70 2.52 1.03 0.36 2.00 2.00 0.37 2.51 2.00 1.70 0.60 0.64 0.79 0.68 1.25 0.55 0.425 3.46 2.50 0.57 0.44 0.84 1.36 0.62 0.995 0.30 1.339 3.00 2.00