Section 3.1 1. Resistant Measures Here are four of the Verizon data speeds (Mops) from Figure 3-1: 13.5, 10.2, 21.1, 15.1. Find the mean and median of these four values. Then find the mean and median after including a fifth value of 142, which is an outlier. (One of the Verizon data speeds is 14.2 Mbps, but 142 is used here as an error resulting from an entry with a missing decimal point.) Compare the two sets of results. How much was the mean ablected by the inclusion of the outlier? How much is the median anlected by the inclusion of the outlier? 2. Critical Thinking. For Exercises a-c, watch out for these little buggers. Each of these exercises involves some feature that is somewhat tricky. Find the (a) mean, (b) median, (c) mode, (d) midrange, and then answer the given question. a. Football Player Numbers Listed below are the jersey numbers of 11 players randomly selected from the roster of the Seattle Seahawks when they won Super Bowl XLVIII. What do the results tell us? 89 91 55 7 20 99 25 81 19 82 60 b. Celebrity Net Worth Listed below are the highest amounts of net worth (in millions of dollars) of celebrities. The celebrities are Tom Cruise, Will Smith, Robert De Niro, Drew Carey, George Clooney, John Travolta, Samuel L. Jackson, Larry King, Demi Moore, and Bruce Willis. What do the results tell us about the population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision? 250 200 185 165 160 160 150 150 150 150 c. Peas in a Pod Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil arlects the phenotypes of peas. Listed below are the phenotype codes, where 1 = smooth@yellow, 2 = smooth@green, 3 = wrinkled@yellow, and 4 = wrinkled@green. Can the measures of center be obtained for these values? Do the results make sense? 21111114122123323131313223. 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 4. Find the mean of the data summarized in the frequency distribution. Age (yi) of Best Actress When Oscar Was Won Frequency 20-29 29 30 39 14 50-59 3 ID-ED 5 70-79 5. Weighted Mean A student of the author earned grades of A, C, B, A, and D. Those courses had these corresponding numbers of credit hours: 3, 3, 3, 4, and 1. The grading system assigns quality points to letter grades as follows: A = 4; B = 3; C=2; D=1; F = 0. Compute the grade-point average (GPA) and round the result with two decimal places. If the dean's list requires a GPA of 3.00 or greater, did this student make the dean's list