A = 9 and B = 8

II. [5 points] Frequency Distributions and Histograms. 1. The following table gives the frequency distribution for the weights (in mg) of tar contained a sample of randomly selected filtered cigarettes. Tar (mg) in Filtered Cigarettes Frequency 2-5 2 6-9 8+a 10-13 6+b 14-17 15 (a) Find 8 + a and 6 + b. (b) How many filtered cigarettes in the sample contain tar between 6 mg and 13 mg? (c) Find the sample size n. (d) Construct the relative frequency distribution. Round any relative frequency to a whole number percent. (c) Find class boundaries and class midpoints. (f) Sketch the histogram for the relative frequency distribution; (g) Do the data appear to be normally distributed (bell-shaped histogram)? 2. The data below record the pulse rates of a sample of females. 77 -b 72 90 60 72 68 80 64 68 68 80 76 68 72 96 72 68 72 64 80 64 80 76 76 76 80 104 88 60 76 72 72 88 80 60 72 68 88 125 64 + a Suppose that we use seven (7) classes to construct the frequency distribution of the data set. (a) Find 77 -b and 64 + a. (b) Find the class width. (c) Construct the frequency distribution (table). (d) Construct the relative frequency distribution (table). Round any relative frequency to a whole number percent. (c) Find class boundaries and class midpoints. (f) Sketch the histogram for the frequency distribution. Do the data appear to be normally distributed (bell-shaped histogram)? Logitech