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Naples, Florida, hosts a half-marathon (13.1-mile running race) in January each year. The event attracts top runners from throughout the United States as well as
Naples, Florida, hosts a half-marathon (13.1-mile running race) in January each year. The event attracts top runners from throughout the United States as well as from around the world. In the race results shown below, 22 men and 31 women entered the 19 - 24 age class. Finish times in minutes are as follows. Times are shown in order of finish. Finish Men Women Finish Men Women Finish Men Women 1 64.58 108.31 11 108.33 123.16 21 143.11 136.03 N 65.55 110.50 12 109.51 125.06 22 147.98 137.48 w 65.80 110.93 13 112.18 128.80 23 138.28 4 66.13 111.21 14 112.80 129.15 24 146.46 5 70.15 113.66 15 120.23 130.00 25 146.63 86.46 117.61 16 127.26 130.95 26 146.78 95.73 120.53 17 127.68 131.31 27 147.03 Co 97.80 121.36 18 130.18 132.48 28 153.16 99.80 121.76 19 131.08 132.78 29 154.11 10 107.46 121.90 20 137.91 135.85 30 188.55 31 188.56 a. George Towett of Marietta, Georgia, finished in first place for the men and Lauren Wald of Gainesville, Florida, finished in first place for the women. Compare the first-place finish times for men and women. If the 53 men and women runners had competed as one group, in what place would Lauren have finished? Round your answer to 2 decimal places. The first place runner in the men's group finished minutes - Select your answer - | of the first place runner in the women's group. Lauren Wald would have finished in |- Select your answer - v| place for the combined groups. b. What is the median time in minutes for men and women runners? Compare men and women runners based on their median times. Round your answers to 2 decimal places. Men Women Median Using the median finish times, the men's group finished minutes - Select your answer - v of the women's group. c. Provide a five-number summary for both the men and the women in minutes. Round your answers to 2 decimal places. Men Women Lowest Time First Quartile Median Third Quartile Highest Timed. Are there outliers in either group? If data contain outliers enter the value. If there are no outliers leave answer blank. If there is more than one value, separate your answers with commas (to 2 decimals). Outliers in the men's group. Outliers in the women's group. e. Which of the following boxplots accurately displays the data set? A. [Finish Time (Minutes) B. IFinish Time (Minutes) +160 160 -120 -120 -80 +40 +40 Men Women Men Women C. TFinish Time (Minutes) D. TFinish Time (Minutes) 160 +160 120 -120 -80 -80 +40 +40 Men Women Men Women - Select your answer - v Did men or women have the most variation in finish times? Explain. The boxplots show the - Select your answer - runners with the lower variation in finish times. The interquartile ranges of (to 2 decimals) minutes for men and (to 2 decimals) minutes for women support this
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