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Chapter 2 frequency distributions and graphs

16/11/2021 Client: muhammad11 Deadline: 2 Day

Elementary Statistical Methods

Elementary Statistical Methods

Lab Ch.2 – Frequency Distributions and Graphs

Critical Thinking; Communication Skills; Empirical/Quantitative Skills

This lab involves making an informed decision based on a subjective comparison. We will consider the important issue of car crash fatalities. Car crash fatalities are devastating to the families involved and they often involve lawsuits and large insurance payments. Listed below are the ages of 100 randomly selected drivers who were killed in car crashes. Also given is a frequency distribution of licensed drivers by age.

Table 1

Ages in years of drivers killed in car crashes

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

Table 2

Age

Number of licensed

drivers (in millions)

16-19

9.2

20-29

33.6

30-39

40.8

40-49

37.0

50-59

24.2

60-69

17.5

70-79

12.7

80-89

4.3

1. Convert the given frequency distribution in Table 2 to a relative frequency distribution.

2. Create a relative frequency distribution for the ages of drivers killed in car crashes in Table 1.

Use the same class limits as in Table 2.

3. Compare the two relative frequency distributions. Which age categories appear to have substantially greater proportions of fatalities than the proportions of licensed drivers?

4. Construct a side-by-side bar graph that is effective in identifying age categories that are more prone to fatal car crashes. (see page 70 of the textbook for an example)

5. Write a report that compares the two relative frequency distributions. Include which age categories appear to have substantially greater proportions of fatalities than proportions of licensed drivers. This report should be written from the context of an insurance company and their reason for setting higher auto insurance rates for these age categories. Use complete sentences and proper grammar.

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