780 CHAPTER 12 Statistics 6. In a stem-and-leaf display, a) the left group of digits is called the ____________. Stem b) the right group of digits is called the ____________. Leaf Practice the Skills/Problem Solving In Exercises 7–10, use the frequency distribution to determine a) the total number of observations. b) the width of each class. c) the midpoint of the second class. d) the modal class (or classes). e) the class limits of the next class if an additional class were to be added. 7. 12. Hot Dog Sales A hot dog vendor is interested in the number of hot dogs he sells each day at his hot dog cart. The number of hot dogs sold is indicated below for 32 consecutive days. Construct a frequency distribution, letting each class have a width of 1. 15 16 19 20 21 22 24 27 15 18 19 20 21 22 25 27 15 18 19 20 21 23 25 28 16 18 19 21 21 23 26 29 Note that there were no days in which the vendor sold 17 hot dogs. However, it is customary to include a missing value as an observed value and assign to it a frequency of 0. * Top-selling Novels In Exercises 13–16, use the data given in Table 12.1 on page 772 to construct a frequency distribution with a first class (in millions) of 13. 0–99 * 14. 0–74 * 15. 50–99 * 16. 50–149 * Metro Population In Exercises 17–20, the data represent the approximate 2023 population, in millions, of the 20 most populous metro areas in the United States. 18.9 6.3 4.3 3.0 12.5 6.1 3.5 3.0 8.9 5.8 3.5 2.9 6.7 5.5 3.3 2.9 6.6 4.7 3.3 2.6 Source: Macrotrends.net Use the data given to construct a frequency distribution with a first class of 17. 2.6–5.5 * 18. 2.6–6.5 * 19. 2.0–4.9 * 20. 2.0–3.9 * Class Frequency 5–9 4 10–14 2 15–19 0 20–24 2 25–29 1 30–34 6 a) 15 b) 5 c) 12 d) 30–34 e) 35–39 8. Class Frequency 25 – 40 2 41–56 10 57–72 8 73–88 1 89–104 1 105–120 5 a) 27 b) 16 c) 48.5 d) 41–56 e) 121–136 9. Class Frequency 9–15 4 16–22 7 23–29 1 30–36 0 37 – 43 3 44 –50 5 a) 20 b) 7 c) 19 d) 16–22 e) 51–57 10. Class Frequency 40 – 49 7 50 –59 5 60 – 69 3 70 –79 2 80 –89 7 90 –99 1 a) 25 b) 10 c) 54.5 d) 40 – 49, 80 – 89 e) 100 –109 11. Visits to the Library Glendale Community College is planning to expand its library. Forty students were asked how many times they visited the library during the previous semester. Their responses are given below. Construct a frequency distribution, letting each class have a width of 1 (as in Example 1). * 0 1 1 3 4 5 7 8 0 1 2 3 5 5 7 8 0 1 2 3 5 5 7 9 1 1 2 3 5 6 8 10 1 1 3 4 5 6 8 10 Cost of Living In Exercises 21–24, the data in the following table indicate the cost of living in 2022, by state. The cost of living is a measure of the average price paid for housing, utilities, groceries, healthcare, transportation, and miscellaneous expenses. The national average cost of living is 100. The data *See Instructor Answer Appendix m Chicago, the third most populated metro area in the U.S. Kevin Kipper/Alamy Stock Photo
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