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Chapter 2: 139 SE (page 142)

Construct a relative frequency histogram for the data summarized in the accompanying table.

Short Answer

Expert verified

The graph is given below:

Step by step solution

01

Defining the relative frequency

Relative frequency shows how often something happens compared to others. It is calculated as the number of times something happens divided by the total outcomes. The heights of all bar in the relative frequency histogram must add up to 1.

02

Construct the relative frequency histogram 

Plot measurement class on the x-axis and the relative frequency on the y-axis. Then draw vertical bars with heights matching the value of relative frequency.

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Most popular questions from this chapter

Question: Hotels’ use of ecolabels.Refer to the Journal of Vacation Marketing(January 2016) study of travelers’ familiaritywith ecolabels used by hotels, Exercise 2.42 (p. 94). Recallthat a sample of 392 adult travelers were shown a list of6 different ecolabels, and asked, “How familiar are youwith this ecolabel, on a scale of 1 (not familiar at all) to5 (very familiar).” The mean and standard deviation ofthe responses for each ecolabel are provided in the table.Which of the ecolabels had the most variation in numericalresponses? Explain.

Ecolabel

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Energy Star

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Network server downtime.A manufacturer of network computer server systems is interested in improving its customer support services. As a first step, its marketing department has been charged with the responsibility of summarizing the extent of customer problems in terms of system downtime. The 40 most recent customers were surveyed to determine the amount of downtime (in hours) they had experienced during the previous month. These data are listed in the table.

Customer Number

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Customer Number

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230

12

250

4

231

16

251

10

232

5

252

15

233

16

253

7

234

21

254

20

235

29

255

9

236

38

256

22

237

14

257

18

238

47

258

28

239

0

259

19

240

24

260

34

241

15

261

26

242

13

262

17

243

8

263

11

244

2

264

64

245

11

265

19

246

22

266

18

247

17

267

24

248

31

268

49

249

10

269

50

a.Construct a box plot for these data. Use the information reflected in the box plot to describe the frequency distribution of the data set. Your description should address central tendency, variation, and skewness.

b.Use your box plot to determine which customers are having unusually lengthy downtimes.

c.Find and interpret the z-scores associated with the customers you identified in part b.

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a.Explain why the data in the table represent time series data.

b.Construct a time series plot for the quarterly number of bankruptcy filings.

c.Do you detect a trend in the time series plot? Explain.

Year

Quarter

Number of

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2011

1

2

3

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12,304

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2012

1

2

3

4

10,998

10,374

9,248

9,231

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d. Compute class relative frequencies for the different categories shown in the graph.

e. Use the results from part d to construct a Pareto diagram for the data.
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