A36 TRY IT YOURSELF ANSWERS 4. 8.5 16.5 24.5 32.5 40.5 48.5 56.5 64.5 3 6 9 12 15 18 21 Frequency Points scored Points Scored by Winning Super Bowl Teams Sample answer: The frequency of points scored increases up to 32.5 points and then decreases. 5. Relative frequency Points scored Points Scored by Winning Super Bowl Teams 20.5 28.5 12.5 36.5 44.5 52.5 60.5 0.05 0.10 0.15 0.20 0.25 0.30 0.35 6. Cumulative frequency Points scored Points Scored by Winning Super Bowl Teams 20.5 28.5 12.5 36.5 44.5 52.5 60.5 10 20 30 40 50 60 7. 12.5 60.5 21 0 Section 2.2 1. 1 346667 Key: 10 3 = 13 2 00011133444467777789 3 011111122344445557889 4 123689 5 2 5 Sample answer: Most of the winning teams scored between 20 and 39 points. 2. 1 3 4 Key: 10 3 = 13 1 6 6 6 7 2 000111334444 2 67777789 3 01111112234444 3 5557889 4 1 2 3 4 6 8 9 5 2 5 5 Sample answer: Most of the winning teams scored from 20 to 35 points. 3. 20 25 30 10 15 35 40 45 50 55 Sample answer: Most of the points scored by the winning teams cluster between 20 and 40. 4. Earned Degrees Conferred in 2010 Associate’s 25.3% Doctoral 4.7% Master’s 20.7% Bachelor’s 49.2% From 2010 to 2019, as percentages of the total degrees conferred, associate’s degrees increased by 0.2%, bachelor’s degrees decreased by 0.2%, master’s degrees decreased by 0.2%, and doctoral degrees decreased by 0.1%. 5. Cause Frequency Causes of BBB Complaints New car dealers Collection agencies Insurance companies Roofing contractors Internet marketing services 4,000 8,000 12,000 16,000 20,000 24,000 New car dealers are the greatest cause of complaints. 6. Salary (in dollars) Length of employment (in years) 2 4 6 8 10 20,000 25,000 30,000 35,000 40,000 45,000 50,000 Salaries It appears that the longer an employee is with the company, the greater the employee’s salary. 7. Year Robberies (in thousands) Robberies 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 100 200 300 400 500 Sample answer: The number of robberies decreased between 2009 and 2019. Section 2.3 1. 28.5 2. 31 3. 30 4. 31 5. “not too much” 6. x ≈ 21.6; median = 21; mode = 20 The mean in Example 6 1x ≈ 23.82 was heavily influenced by the entry 65. Neither the median nor the mode was affected as much by the entry 65. 7. About 2.6 8. About 30.6; This is very close to the mean found using the original data set.
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