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Chapter 4 Describing Data Active Learning Questions For use with classroom response systems Copyright © 2009 Pearson Education, Inc. Slide 4 - 1 Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find the mean retirement age to one decimal place. 50, 66, 63, 54, 60, 58, 65, 56, 52 a. 58 b. 58.2 c. 58.5 d. 65.5 Slide 4 - 2 Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find the mean retirement age to one decimal place. 50, 66, 63, 54, 60, 58, 65, 56, 52 a. 58 b. 58.2 c. 58.5 d. 65.5 Slide 4 - 3 The distances traveled (in miles) to 7 different swim meets are listed below. Find the median distance traveled. 73, 24, 46, 34, 61, 10, 86 a. 46 miles b. 46.7 miles c. 47.7 miles d. 55.7 miles Slide 4 - 4 The distances traveled (in miles) to 7 different swim meets are listed below. Find the median distance traveled. 73, 24, 46, 34, 61, 10, 86 a. 46 miles b. 46.7 miles c. 47.7 miles d. 55.7 miles Slide 4 - 5 The weights (in ounces) of 21 cookies are shown. Find the median weight. 0.62, 1.25, 0.60, 1.62, 0.75, 0.74, 1.35, 1.25, 1.53, 0.99, 0.62, 1.25, 1.28, 0.66, 0.47, 1.25, 0.74, 1.28, 1.72, 0.75, 0.56 a. 1.25 ounces b. 1.06 ounces c. 1.01 ounces d. 0.99 ounces Slide 4 - 6 The weights (in ounces) of 21 cookies are shown. Find the median weight. 0.62, 1.25, 0.60, 1.62, 0.75, 0.74, 1.35, 1.25, 1.53, 0.99, 0.62, 1.25, 1.28, 0.66, 0.47, 1.25, 0.74, 1.28, 1.72, 0.75, 0.56 a. 1.25 ounces b. 1.06 ounces c. 1.01 ounces d. 0.99 ounces Slide 4 - 7 Find the mode(s) of the given sample data. 7.29, 7.41, 7.56, 7.29, 7.88, 7.99, 7.62 a. 7.56 b. 7.29 c. 7.577 d. 7.41 Slide 4 - 8 Find the mode(s) of the given sample data. 7.29, 7.41, 7.56, 7.29, 7.88, 7.99, 7.62 a. 7.56 b. 7.29 c. 7.577 d. 7.41 Slide 4 - 9 The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Suppose that the mpg’s for four of the five models of a manufacturer are 19, 22, 28, and 26, and the manufacturer just meets the government standard of 31 mpg. Find the mileage of for the fifth model. a. 60 mpg b. 31 mpg c. 24 mpg d. 19 mpg Slide 4 - 10 The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Suppose that the mpg’s for four of the five models of a manufacturer are 19, 22, 28, and 26, and the manufacturer just meets the government standard of 31 mpg. Find the mileage of for the fifth model. a. 60 mpg b. 31 mpg c. 24 mpg d. 19 mpg Slide 4 - 11 The mathematics SAT scores of the seven students in a mathematics seminar are 553, 553, 578, 586, 619, 626, and 633. Suppose that the student with the score of 533 drops the seminar and is replaced by a student with a score of 765. What will happen to the mean and the median scores of the class? a. Neither the mean nor the median will change. b. Both the mean and the median will increase. c. The median will increase; the mean will be unchanged. d. The mean will increase; the median will be unchanged. Slide 4 - 12 The mathematics SAT scores of the seven students in a mathematics seminar are 553, 553, 578, 586, 619, 626, and 633. Suppose that the student with the score of 533 drops the seminar and is replaced by a student with a score of 765. What will happen to the mean and the median scores of the class? a. Neither the mean nor the median will change. b. Both the mean and the median will increase. c. The median will increase; the mean will be unchanged. d. The mean will increase; the median will be unchanged. Slide 4 - 13 The host of a dinner party purchases wine based on the weighted average of clarity (10%), bouquet (5%), friendliness to the palate (5%), storage ability of opened bottles (40%), and price (40%). Suppose that Bone Ranch Wave has scores in these categories of 4, 5, 3, 8, and 9, respectively. What is its rating? a. 5.80 b. 5.00 c. 7.60 d. None of the previous Slide 4 - 14 The host of a dinner party purchases wine based on the weighted average of clarity (10%), bouquet (5%), friendliness to the palate (5%), storage ability of opened bottles (40%), and price (40%). Suppose that Bone Ranch Wave has scores in these categories of 4, 5, 3, 8, and 9, respectively. What is its rating? a. 5.80 b. 5.00 c. 7.60 d. None of the previous Slide 4 - 15 A softball player has a batting average of exactly .300 and no more than 60 times at bat. Suppose this player gets 4 hits in her next 5 times at bat. What is the highest possible average she could now have? a. .467 b. .800 c. .338 d. There is insufficient information to answer the question. Slide 4 - 16 A softball player has a batting average of exactly .300 and no more than 60 times at bat. Suppose this player gets 4 hits in her next 5 times at bat. What is the highest possible average she could now have? a. .467 b. .800 c. .338 d. There is insufficient information to answer the question. Slide 4 - 17 Which of the distributions has the greatest variation? a. b. c. d. Slide 4 - 18 Which of the distributions has the greatest variation? a. b. c. d. Slide 4 - 19 Which of the distribution is skewed to the right? a. b. c. d. Slide 4 - 20 Which of the distribution is skewed to the right? a. b. c. d. Slide 4 - 21 Consider the distribution of heights of all the players in the National Basketball Association. What would you expect the shape of the distribution to be? a. Skewed right b. Skewed left c. Symmetric d. Bimodal Slide 4 - 22 Consider the distribution of heights of all the players in the National Basketball Association. What would you expect the shape of the distribution to be? a. Skewed right b. Skewed left c. Symmetric d. Bimodal Slide 4 - 23 The following data set is the GPA’s of the students in a statistics class. What percentile is a GPA of 2.54? 1.93, 1.99, 2.00, 2.04, 2.12, 2.34, 2.55, 2.55, 2.75, 2.75, 2.80, 2.80, 2.85, 3.02, 3.12, 3.22, 3.31, 3.33, 3.45, 3.69 a. About the 6th b. About the 15th c. About the 30th d. About the 60th Slide 4 - 24 The following data set is the GPA’s of the students in a statistics class. What percentile is a GPA of 2.54? 1.93, 1.99, 2.00, 2.04, 2.12, 2.34, 2.55, 2.55, 2.75, 2.75, 2.80, 2.80, 2.85, 3.02, 3.12, 3.22, 3.31, 3.33, 3.45, 3.69 a. About the 6th b. About the 15th c. About the 30th d. About the 60th Slide 4 - 25 The test scores for 32 students are listed. Construct a boxplot for the data set. 32, 37, 41, 44, 46, 48, 53, 55, 57, 57, 59, 63, 65, 66, 68, 69, 70, 71, 74, 74, 75, 77, 78, 79, 81, 82, 83, 86, 89, 92, 95, 99 a. b. c. d. Slide 4 - 26 The test scores for 32 students are listed. Construct a boxplot for the data set. 32, 37, 41, 44, 46, 48, 53, 55, 57, 57, 59, 63, 65, 66, 68, 69, 70, 71, 74, 74, 75, 77, 78, 79, 81, 82, 83, 86, 89, 92, 95, 99 a. b. c. d. Slide 4 - 27 Find the standard deviation for the given data. Round your answer to one more decimal place than the original data. 15, 42, 53, 7, 9, 12, 14, 28, 47 a. 29.1 b. 16.6 c. 17.8 d. 15.8 Slide 4 - 28 Find the standard deviation for the given data. Round your answer to one more decimal place than the original data. 15, 42, 53, 7, 9, 12, 14, 28, 47 a. 29.1 b. 16.6 c. 17.8 d. 15.8 Slide 4 - 29 Use the range rule of thumb to approximate the standard deviation. 22, 29, 21, 24, 27, 28, 25, 36 a. 1.65 b. 4.2 c. 3.75 d. 2.8 Slide 4 - 30 Use the range rule of thumb to approximate the standard deviation. 22, 29, 21, 24, 27, 28, 25, 36 a. 1.65 b. 4.2 c. 3.75 d. 2.8 Slide 4 - 31 Al and Joe are two county sheriff’s deputies assigned to watch for traffic violations. Their arrest and conviction records for May and June are shown below. Who had the best conviction percentage in May? May June Arrests Convictions Arrests Convictions Al 90 30 20 12 Joe 10 2 80 40 a. Al b. Joe c. They were the same d. Can’t determine Slide 4 - 32 Al and Joe are two county sheriff’s deputies assigned to watch for traffic violations. Their arrest and conviction records for May and June are shown below. Who had the best conviction percentage in May? May June Arrests Convictions Arrests Convictions Al 90 30 20 12 Joe 10 2 80 40 a. Al b. Joe c. They were the same d. Can’t determine Slide 4 - 33 Al and Joe are two county sheriff’s deputies assigned to watch for traffic violations. Their arrest and conviction records for May and June are shown below. Who had the best conviction percentage in June? May June Arrests Convictions Arrests Convictions Al 90 30 20 12 Joe 10 2 80 40 a. Al b. Joe c. They were the same d. Can’t determine Slide 4 - 34 Al and Joe are two county sheriff’s deputies assigned to watch for traffic violations. Their arrest and conviction records for May and June are shown below. Who had the best conviction percentage in June? May June Arrests Convictions Arrests Convictions Al 90 30 20 12 Joe 10 2 80 40 a. Al b. Joe c. They were the same d. Can’t determine Slide 4 - 35 Al and Joe are two county sheriff’s deputies assigned to watch for traffic violations. Their arrest and conviction records for May and June are shown below. Who had the best conviction percentage overall? May June Arrests Convictions Arrests Convictions Al 90 30 20 12 Joe 10 2 80 40 a. Al b. Joe c. They were the same d. Can’t determine Slide 4 - 36 Al and Joe are two county sheriff’s deputies assigned to watch for traffic violations. Their arrest and conviction records for May and June are shown below. Who had the best conviction percentage overall? May June Arrests Convictions Arrests Convictions Al 90 30 20 12 Joe 10 2 80 40 a. Al b. Joe c. They were the same d. Can’t determine Slide 4 - 37