3-1 Measures of Center 101 20. Big Mac Index Listed below in order are prices in dollars for a Big Mac hamburger in the United States, Canada, Mexico, China, Japan, Russia, Switzerland, Italy, Spain, Britain, India, and Egypt. Such data are used to compare currency exchange rates and the costs of goods in different countries. Do these data suggest that the prices are roughly the same, or do they appear to vary by large amounts? Do any of the measures of center reveal anything about the variation of the prices? 5.3 5.3 2.6 3.2 3.4 2.3 6.8 5.1 4.8 4.4 2.8 1.9 In Exercises 21–24, find the mean and median for each of the two samples, then compare the two sets of results. 21. Blood Pressure A sample of blood pressure measurements is taken from Data Set 1 “Body Data” in Appendix B, and those values (mm Hg) are listed below. The values are matched so that 10 subjects each have systolic and diastolic measurements. (Systolic is a measure of the force of blood being pushed through arteries, but diastolic is a measure of blood pressure when the heart is at rest between beats.) Are the measures of center the best statistics to use with these data? What else might be better? Systolic: 118 128 158 96 156 122 116 136 126 120 Diastolic: 80 76 74 52 90 88 58 64 72 82 22. Parking Meter Theft Listed below are amounts (in millions of dollars) collected from parking meters by Brinks and others in New York City during similar time periods. A larger data set was used to convict five Brinks employees of grand larceny. The data were provided by the attorney for New York City, and they are listed on the Data and Story Library (DASL) website. Do the limited data listed here show evidence of stealing by Brinks employees? Collection Contractor Was Brinks 1.3 1.5 1.3 1.5 1.4 1.7 1.8 1.7 1.7 1.6 Collection Contractor Was Not Brinks 2.2 1.9 1.5 1.6 1.5 1.7 1.9 1.6 1.6 1.8 23. Pulse Rates Listed below are pulse rates (beats per minute) from samples of adult males and females (from Data Set 1 “Body Data” in Appendix B). Does there appear to be a difference? Male: 86 72 64 72 72 54 66 56 80 72 64 64 96 58 66 Female: 64 84 82 70 74 86 90 88 90 90 94 68 90 82 80 24. It’s a Small Wait After All Listed below are the wait times (minutes) at 10 AM for the rides “It’s a Small World” and “Avatar Flight of Passage.” These data are found in Data Set 33 “Disney World Wait Times.” Does a comparison between the means and medians reveal that there is a difference between the two sets of data? It’s a Small World 10 5 51010101015101010101010 5101010 5 5 51010 510 51015 5 510 5 5 51510103010 5101010 5101510201515 Avatar Flight of Passage 150 75 90 85 105 75 135 120 150 105 135 105 105 150 90 70 120 90 120 135 210 135 150 225 150 165 150 135 150 180 120 150 180 225 165 Large Data Sets from Appendix B. In Exercises 25–28, refer to the indicated data set in Appendix B. Use software or a calculator to find the means and medians. 25. Weights Use the weights of the males listed in Data Set 2 “ANSUR I 1988,” which were measured in 1988 and use the weights of the males listed in Data Set 3 “ANSUR II 2012,” which were measured in 2012. Does it appear that males have become heavier? 180 195 110 150 180 150 150 180 150 150 165 150 120 165 135
RkJQdWJsaXNoZXIy NjM5ODQ=