The following table presents the manufacturer’s suggested retail price (in $1000s) for base models and styles of BMW automobiles.

a. Construct a frequency distribution using a class width of 10, and using 30 as the lower class limit for the first class.

b. Construct a frequency histogram from the frequency distribution in part (a).

c. Construct a relative frequency distribution using the same class width and lower limit for the first class.

d. Construct a relative frequency histogram.

e. Are the histograms unimodal or bimodal?

f. Repeat parts (a)–(d), using a class width of 20, and using 30 as the lower class limit for the first class.
g. Do you think that class widths of 10 and 20 are both reasonably good choices for these data, or do you think that one choice is much better than the other? Explain your reasoning.

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50.1 89.8 55.2 90.5 30.8 62.7 38.9 70.4 48.0 89.2 47.5 86.2 53.4 90.2 55.2 93.5 39.3 73.6 60.1 140.7 31.2 64.2 44.1 80.6 38.6 68.8 32.5 64.2 56.7 96.7 74.9 57.7 108.4 55.7 93.7 36.9 65.0 59.8 114.7 43.3 47.4 82.4 44.0 77.6 47.8 86.8