Review Exercises 117 11. The heights (in feet) and the number of stories of the ten tallest buildings in New York City are listed. Use a scatter plot to display the data. Describe any patterns. (Source: Emporis) Height (in feet) 1776 1550 1428 1401 1397 1270 1250 1200 1079 1050 Stories 104 95 84 59 85 73 102 54 71 77 12. The U.S. real unemployment rates over a 12-year period are listed. Use a time series chart to display the data. Describe any patterns. (Source: U.S. Bureau of Labor Statistics) Year 2010 2011 2012 2013 2014 2015 Rate 16.7% 16.2% 15.2% 14.5% 12.7% 11.3% Year 2016 2017 2018 2019 2020 2021 Rate 9.9% 9.4% 8.2% 8.1% 6.9% 11.1% Section 2.3 In Exercises 13 and 14, find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why. 13. The vertical jumps (in inches) of a sample of 10 college basketball players at the 2020 NBA Draft Combine (Source: National Basketball Association) 37.5 30.0 31.5 29.5 24.0 29.0 29.0 30.0 30.0 28.0 14. The responses of 1019 adults who were asked how much money they think they will spend on Christmas gifts in a recent year (Adapted from Gallup) $1000 or more: 306 $250–999: 336 Less than $250: 234 Not sure: 51 None/do not celebrate Christmas: 92 15. For the six test scores 78, 72, 86, 91, 87, and 80, the first 5 test scores are 15% of the final grade and the last test score is 25% of the final grade. Find the weighted mean of the test scores. 16. For the four test scores 96, 85, 91, and 86, the first 3 test scores are 20% of the final grade, and the last test score is 40% of the final grade. Find the weighted mean of the test scores. 17. Estimate the mean of the frequency distribution you made in Exercise 1. 18. The frequency distribution shows the number of magazine subscriptions per household for a sample of 60 households. Find the mean number of subscriptions per household. Number of magazines 0 1 2 3 4 5 6 Frequency 13 9 19 8 5 2 4 19. Describe the shape of the distribution for the histogram you made in Exercise 3 as symmetric, uniform, skewed left, skewed right, or none of these. 20. Describe the shape of the distribution for the histogram you made in Exercise 4 as symmetric, uniform, skewed left, skewed right, or none of these.
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