Statistics: Other Statistics Problems – #505


Question:

37 76 18 81 28 29 18 18 27 20
18 17 70 87 45 32 88 20 18 28
17 51 24 37 24 21 18 18 17 40
25 16 45 31 74 38 16 30 17 34
34 27 87 24 45 24 44 73 18 44
16 16 73 17 16 51 24 16 31 38
86 19 52 35 18 18 69 17 28 38
69 65 57 45 23 18 56 16 20 22
77 18 73 26 58 24 21 21 29 51
17 30 16 17 36 42 18 76 53 27
Age Licensed Drivers (millions)
16-19 9.2
20-29 33.6
30-39 40.8
40-49 37
50-59 24.2
60-69 17.5
70-79 12.7
80-89 4.3

Convert the given frequency distribution to a relative frequency distribution, then create a relative frequency distribution for the ages of drivers killed in car crashes. Compare the two relative frequency distributions. Which age categories appear to have substantially greater proportions of fatalities than the proportions of licensed drivers? If you were responsible for establishing the rates for auto insurance, which age categories would you select for higher rates? Construct a graph that is effective in identifying age categories that are more prone to fatal car crashes.

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