136 CHAPTER 3 Describing, Exploring, and Comparing Data of 8.8637 g and a standard deviation of 0.1608 g. Which candy has the more extreme weight: A Hershey’s Kiss with a weight of 4.794 g or a Reese’s Cup with a weight of 8.413 g? Percentiles. In Exercises 17–20, use the following radiation levels (in W, kg) for 50 different cell phones. Find the percentile corresponding to the given radiation level. 0.24 0.24 0.31 0.48 0.60 0.60 0.61 0.65 0.75 0.85 0.91 0.91 0.91 0.91 0.93 0.97 0.98 1.00 1.09 1.09 1.10 1.13 1.13 1.15 1.15 1.16 1.16 1.17 1.18 1.19 1.19 1.23 1.27 1.27 1.28 1.28 1.28 1.28 1.30 1.32 1.35 1.37 1.38 1.40 1.45 1.46 1.47 1.48 1.49 1.52 17. 0.48 W>kg 18. 1.47 W>kg 19. 1.10 W>kg 20. 0.98 W>kg In Exercises 21–28, use the same list of cell phone radiation levels given for Exercises 17–20. Find the indicated percentile or quartile. 21. P30 22. Q1 23. Q3 24. P40 25. P50 26. P75 27. P25 28. P85 Boxplots. In Exercises 29–32, use the given data to construct a boxplot and identify the 5-number summary. 29. Speed Dating In a study of speed dating conducted at Columbia University, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1 = not attractive; 10 = extremely attractive). 2.0 3.0 4.0 5.0 6.0 6.0 7.0 7.0 7.0 7.0 7.0 7.0 8.0 8.0 8.0 8.0 9.0 9.5 10.0 10.0 30. Taxis Listed below are times (minutes) of a sample of taxi rides in New York City. The data are from the New York City Taxi and Limousine Commission. 15 12 31 3 11 33 62 4 31. Radiation in Baby Teeth Listed below are amounts of strontium-90 (in millibecquerels, or mBq) in a simple random sample of baby teeth obtained from Pennsylvania residents born after 1979 (based on data from “An Unexpected Rise in Strontium-90 in U.S. Deciduous Teeth in the 1990s,” by Mangano et al., Science of the Total Environment). 128 130 133 137 138 142 142 144 147 149 151 151 151 155 156 161 163 163 166 172 32. Blood Pressure Measurements Fourteen different second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic readings (mm Hg) are listed below. 138 130 135 140 120 125 120 130 130 144 143 140 130 150 Boxplots from Large Data Sets in Appendix B. In Exercises 33–36, use the given data sets in Appendix B. Use the boxplots to compare the two data sets. 33. Pulse Rates Use the same scale to construct boxplots for the pulse rates of males and females from Data Set 1 “Body Data” in Appendix B. 34. Ages of Oscar Winners Use the same scale to construct boxplots for the ages of the best actresses and best actors from Data Set 21 “Oscar Winner Age” in Appendix B. 35. Weights Use the weights (kg) of males from Data Set 2 “ANSUR I 1988” and the weights of males (kg) from Data Set 3 “ANSUR II 2012.” The ANSUR I data are from 1988 and the ANSUR II data are from 2012. 36. Lead and IQ Use the same scale to construct boxplots for the full IQ scores (IQF) for the low lead level group (group 1) and the high lead level group (group 3) in Data Set 11 “IQ and Lead” in Appendix B. The low lead level group consists of children with low levels of lead in their blood, and the high lead level group consists of children with high levels of lead in their blood. What do the boxplots suggest about the effect of exposure to lead?
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