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90 Chapter 1 %u2022 Analyzing One-Variable DataElectoral votes0 5 10 15 20 25 30 35 40 45 50 55n Mean SD Minimum Q1 Median Q3 Maximum 51 10.549 9.653 3 4 8 12 54 (a) One simple formula for calculating skewness is maximum medianmedian minimum%u2212%u2212 . Compute this value for the electoral vote data. Explain why this formula should yield a value greater than 1 for a rightskewed distribution. (b) Choosing only from the summary statistics provided, define a formula for a different statistic that measures skewness. Compute the value of this statistic for the electoral vote data. What values of this statistic might indicate that a distribution is skewed to the right? Explain your reasoning. Recycle and Review 24. Best in show (1.2) Here is a frequency table showing the breed group of the dog that won Best in Show at the Westminster Kennel Club dog show for 96 years. 113 Make a relative frequency bar chart for these data. Describe what you see.Breed group Frequency Breed group Frequency Terrier 38 Toy 11 Sporting 18 Non-sporting 9 Working 15 Hound 5 25. Hurricanes (1.5, 1.6) The histogram shows the distribution of the number of Atlantic hurricanes per year for more than 150 years. 114 2051015202530354 6 8 10 12 14 16Number of hurricanesFrequency(a) Describe the shape of the distribution. (b) Which would be a better measure of the typical number of hurricanes per year: the mean or the median? Justify your answer. Chapter 1 In the STATS applied! on page 3 , we described an experiment to compare the effectiveness of soap and hand sanitizer at getting rid of unwanted bacteria. Using 30 identical petri dishes, researchers randomly assigned 10 students to press one hand in a dish after washing with soap, 10 students to press one hand in a dish after using hand sanitizer, and 10 students to press one hand in a dish after using nothing. After three days of incubation, the number of bacteria colonies on each petri dish was counted. Here are the data: 115 None 108 97 92 81 57 49 41 38 29 3 Soap 18 10 10 6 6 5 4 4 4 1 Hand sanitizer 27 23 14 8 7 6 5 4 3 2 Kmatta/Getty ImagesSTATS applied! Does hand sanitizer work? %u00a9 Bedford, Freeman & Worth Publishers. For review purposes only. Do not distribute.