Cumulative Frequency Distributions. In Exercises 21 and 22, construct the cumulative frequency distribution that corresponds to the frequency distribution in the exercise indicated.

Exercise 5 (Age of Best Actress When Oscar Was Won)

Short Answer

Expert verified

The cumulative frequency distribution is constructed as follows:

Age (in years)

Cumulative Frequency

Less than 30

29

Less than 40

63

Less than 50

77

Less than 60

80

Less than 70

85

Less than 80

86

Less than 90

87

Step by step solution

01

Given information

Thegrouped frequency distribution of the ages (in years) of the best actress when the Oscar was won is given.

02

Cumulative frequency

The cumulative frequency distribution is obtained by adding the frequencies of successive classes. It represents the sum of all frequencies of a class interval equal to and less than it.

03

Calculation

The table below shows the frequencies of ages (in years) of the best actress when Oscar was won:

Age (in years)

Frequency

20-29

29

30-39

34

40-49

14

50-59

3

60-69

5

70-79

1

80-89

1

To construct the cumulative frequency distribution, the first class interval should be changed to less than the lower limit of the second class interval; the second class interval should be changed to less than the lower limit of the third class interval, and so on.

The cumulative frequencies corresponding to the classes are obtained as shown below:

Age (in years)

Frequency

Cumulative Frequency

Less than 30

29

29

Less than 40

34

34 + 29 = 63

Less than 50

14

14 + 63 = 77

Less than 60

3

3 + 77 = 80

Less than 70

5

5 + 80 = 85

Less than 80

1

1 + 85 = 86

Less than 90

1

1 + 86 = 87

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Most popular questions from this chapter

What’s Wrong? Heights of adult males are known to have a normal distribution, as described in this section. A researcher claims to have randomly selected adult males and measured their heights with the resulting relative frequency distribution as shown here. Identify two major flaws with these results.

Heights (cm)

Relative Frequency

130-144

23%

145-159

25%

160-174

22%

175-189

27%

190-204

28%

Pie Charts. In Exercises 13 and 14, construct the pie chart.

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Constructing Frequency Distributions. In Exercises 11–18, use the indicated data to construct the frequency distribution. (The data for Exercises 13–16 can be downloaded at TriolaStats.com.)

Analysis of Last Digits Heights of statistics students were obtained by the author as part of an experiment conducted for class. The last digits of those heights are listed below. Construct a frequency distribution with 10 classes. Based on the distribution, do the heights appear to be reported or actually measured? What do you know about the accuracy of the results?

0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 8 8 8 9

Scatterplot What is a scatterplot and how does it help us?

In Exercises 19 and 20, construct the relative frequency distributions and answer the given questions.

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