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Relative frequency distribution use percentages to construct the relative frequency distribution corresponding to the accompanying frequency distribution for McDonald鈥檚 dinner service times.

Short Answer

Expert verified

The relative frequency distribution corresponding to the accompanying frequency distribution for McDonald鈥檚 dinner service times are as,

Time (sec)

Relative frequency (%)

60-119

14

120-179

44

180-239

28

240-299

4

300-359

10

Step by step solution

01

Given information 

Refer to Exercise 1 for the frequency distribution of McDonald鈥檚 dinner service times.

Time (sec)

Frequency

60-119

7

120-179

22

180-239

14

240-299

2

300-359

5

N

50

02

Definition of relative frequency

A frequency distribution that represents counts of observations in different intervals or categories.

Thus, a frequency is a count against a category, represented by .

Relative frequency distribution is a summarization of categories and the relative frequencies.

Relative frequency is the ratio of the frequency of a particular event in a statistical experiment to the total frequency, which is expressed in percentage.

Mathematically,

Rfi=fifi=fiN

03

Calculate the relative frequency distribution

The table shows relative frequency of each class,

Time (sec)

Frequency

Intermediate calculation of relative frequency

Relative frequency (%)

60-119

7

750100

14

120-179

22

2250100

44

180-239

14

1450100

28

240-299

2

250100

4

300-359

5

550100

10

Thus, the relative frequencies obtained are shown above.

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Most popular questions from this chapter

In Exercises 5鈥8, identify the class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. The frequency distributions are based on real data from Appendix B.

Age (yr) of Best Actor when Oscar Was Won

Frequency

20-29

1

30-39

28

40-49

36

50-59

15

60-69

6

70-79

1

Deceptive Graphs. In Exercises 17鈥20, identify how the graph is deceptive.

Subway Fare In 1986, the New York City subway fare cost \(1, and as of this writing, the current cost is \)2.50, so the 1986 price was multiplied by 2.5. In the accompanying graph, the large bill is 2.5 times as tall and 2.5 times as wide as the smaller bill.

Cookies Refer to the accompanying frequency distribution that summarizes the numbers of chocolate chips found in each cookie in a sample of Chips Ahoy regular chocolate chip cookies (from Data Set 28 鈥淐hocolate Chip Cookies鈥 in Appendix B). What is the class width? Is it possible to identify the original data values?

Chocolate Chips

Frequency

18-20

6

21-23

11

24-26

18

27-29

4

30-31

1

In Exercises 1鈥6, refer to the data below, which are total home game playing times (hours) for all Major League Baseball teams in a recent year (based on data from Baseball Prospectus).

236 237 238 239 241 241 242 245 245 245 246 247 247 248 248 249 250 250 250 251 252 252 253 253 258 258 258 260 262 264

Stemplot Use the total game playing times to create a stemplot. What does the stemplot reveal about the distribution of the data?

In Exercises 1鈥6, refer to the data below, which are total home game playing times (hours) for all Major League Baseball teams in a recent year (based on data from Baseball Prospectus).

236 237 238 239 241 241 242 245 245 245 246 247 247 248 248 249 250 250 250 251 252 252 253 253 258 258 258 260 262 264

Deceptive Graph Assume that you want to create the histogram for Exercise 3 in a way that exaggerates the differences among the times. Describe how the histogram from Exercise 3 can be modified to accomplish that exaggeration.

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