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88 Chapter 1 %u2022 Analyzing One-Variable Data(a) Make a boxplot to display the data. (b) A copper mine today has about 0.6% copper in its rock. Based on the boxplot in part (a), what percentage of the rock at Broad Top Butte should the company estimate is more than 0.6% copper: less than 25%, between 25% and 50%, between 50% and 75%, or more than 75%? Explain your answer. 13. Boxed heart rates Refer to Exercise 7. (a) Make a boxplot to display the data. (b) Which measure of variability%u2014the IQR or standard deviation%u2014would you report for these data? Use the graph from part (a) to help justify your choice. 14. Photo box Refer to Exercise 8. (a) Make a boxplot to display the data. (b) Which measure of variability%u2014the IQR or standard deviation%u2014would you report for these data? Use the graph from part (a) to help justify your choice. 15. Fat sandwiches, skinny sandwiches The following boxplots summarize data on the amount of fat (in grams) in 12 McDonald%u2019s hamburgers and 9 McDonald%u2019s chicken or fish sandwiches. 106 Compare the distributions of fat content for the two types of sandwiches. Fat (g)Type0 5Chicken or fish Hamburger10 15 20 25 30 35 40 4516. Get to work! The following boxplots summarize data on the travel times to work for 20 randomly chosen New Yorkers and 15 randomly chosen North Carolinians. 107 Compare the distributions of travel time for the workers in these two states. 0 20 40 60 80Travel time to work (min)NCNY17. Energetic refrigerators Consumer Reports magazine rated different types of refrigerators, including those with bottom freezers, those with top freezers, and those with side freezers. One of the variables it measured was annual energy cost (in dollars). The following boxplots show the energy cost distributions for each of these types. 108 Top Side Bottom40 60 80 100Energy cost ($)120 140 160 (a) What percentage of bottom freezers cost more than $60 per year to operate? What about side freezers and top freezers? (b) Compare the energy cost distributions for the three types of refrigerators. 18. Weight-loss strategies Which dieting strategy works best? Researchers used data from the U.K. television show How to Lose Weight Well to investigate. In each episode, six participants are assigned in pairs to adopt three dieting strategies: crasher, shape shifter, and life changer. The crashers follow extreme diets for 1%u20132 weeks, such as replacing meals with bone broth or baby food. The shape shifters follow moderately extreme diets for 4%u20136 weeks, like the blood sugar diet that involves consuming at most 800 calories per day. The life changers follow less-extreme diets for 12%u201316 weeks, like low-carbohydrate or Mediterranean diets. Here are boxplots that summarize the percentage of body weight lost by 137 pairs of participants in the TV show. 109 %u20135CrashersPercentage of body weight lostShapeshifters0510152025Lifechangerspg 84%u00a9 Bedford, Freeman & Worth Publishers. For review purposes only. Do not distribute.