CHAPTER 3 Review Exercises 137 3-3 Beyond the Basics 37.Outliers and Modified Boxplots Repeat Exercise 33 “Pulse Rates” using modified boxplots. Identify any outliers as defined in Part 2 of this section. 38.Outliers and Modified Boxplots Repeat Exercise 34 “Ages of Oscar Winners” using modified boxplots. Identify any outliers as defined in Part 2 of this section. 1. Mean of Roller Coaster Speeds Listed below are maximum speeds (km>h) of randomly selected roller coasters in the United States. Find the mean. 70 76 97 81 57 151 194 65 117 65 45 105 2. Median of Roller Coaster Speeds What is the median of the sample values listed in Exercise 1? 3. Mode of Roller Coaster Speeds What is the mode of the sample values listed in Exercise 1? 4. Variance of Roller Coaster Speeds The standard deviation of the sample values in Exercise 1 is 43.1 km>h. What is the variance (including units)? 5. Roller Coaster Speed Outlier Identify any outliers among the data listed for Exercise 1. 6. Roller Coaster z Score A larger sample of 92 roller coaster maximum speeds has a mean of 85.9 km>h and a standard deviation of 28.7 km>h. What is the z score for a speed of 34 km>h? Does the z score suggest that the speed of 34 km>h is significantly low? 7. Q3 for Roller Coaster Speeds For the sample of 92 roller coaster maximum speeds, approximately how many of those speeds are less than Q3? 8. Roller Coaster Speed 5-Number Summary For the sample of 92 roller coaster maximum speeds, give the names of the values that constitute the 5-number summary. (The actual values can’t be identified; just give the names of those values.) 9. Estimating s The sample of 92 roller coaster maximum speeds includes values ranging from a low of 10 km>h to a high of 194 km>h. Use the range rule of thumb to estimate the standard deviation. 10. Roller Coaster Speed Notation Consider a sample of roller coaster maximum speeds taken from the population of all roller coasters operating on our planet. Identify the symbols used for the sample mean, population mean, sample standard deviation, population standard deviation, sample variance, and the population variance. Chapter Quick Quiz 1. Reported and Measured Heights Listed below are self-reported heights of males aged 16 and over and their corresponding measured heights (based on data from the National Health and Nutrition Examination Survey). All heights are in inches. First find the differences (reported height–measured height), and then use those differences to find the (a) mean, (b) median, (c) mode, (d) midrange, (e) range, (f) standard deviation, (g) variance, (h) Q1, (i) Q3. Reported 68.0 71.0 63.0 70.0 71.0 60.0 65.0 64 54.0 63.0 66 72.0 Measured 67.9 69.9 64.9 68.3 70.3 60.6 64.5 67 55.6 74.2 65 70.8 2. Outliers Identify any of the differences found from Exercise 1 that appear to be outliers. For any outliers, how much of an effect do they have on the mean, median, and standard deviation? Review Exercises
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