red_pe_ch_10.pdf

A 4 6 5 7 8 9 11 10 12 hours of sleep female students

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greatest values to describe the overlap between the two data sets. a. 4 6 5 7 8 9 11 10 12 Hours of sleep Female students Male students b. 56 58 57 59 60 61 63 62 65 64 Female students Heights (inches) Male students c. Ages of People in Two Exercise Classes 10:00 A . M . Class 8:00 P . M . Class 1 8 9 2 1 2 2 7 9 9 3 0 3 4 5 7 9 7 3 2 2 2 4 0 7 5 4 3 1 5 7 0 0 6 0 7 Key: 1 8 = 18 ACTIVITY: Comparing Two Data Distributions 2 3. IN YOUR OWN WORDS How can you compare data sets that represent two populations? Use what you learned about comparing data sets to complete Exercise 3 on page 452. Recognize Usefulness of Tools How is each type of data display useful? Which do you prefer? Explain. Math Practice

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Section 10.7 Comparing Populations 451 EXAMPLE Using Random Samples to Compare Populations 2 You want to compare the costs of speeding tickets in two states. a. The double box-and-whisker plot shows a random sample of 10 speeding tickets issued in two states. Compare the samples using measures of center and variation. Can you use this to make a valid comparison about speeding tickets in the two states? Explain. 50 90 70 110 80 60 100 120 130 150 140 160 Cost (dollars) State B State A Both distributions are skewed right, so use the median and the IQR. The median and the IQR for State A, 70 and 20, are less than the median and the IQR for State B, 80 and 30. However, the sample size is too small and the variability is too great to conclude that speeding tickets generally cost more in State B.

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