Section 2.2 Frequency Distributions and Their Graphs 59 SECTION 2.2 Exercises Exercises 1–4 are the Check Your Understanding exercises located within the section. Understanding the Concepts In Exercises 5–8, fill in each blank with the appropriate word or phrase. 5. When the right half of a histogram is a mirror image of the left half, the histogram is . 6. A histogram is skewed to the left if its tail is longer than its tail. 7. A histogram is if it has two clearly distinct modes. 8. The of a category is the number of times it appears in the data set. In Exercises 9–12, determine whether the statement is true or false. If the statement is false, rewrite it as a true statement. 9. In a frequency distribution, the class width is the difference between the upper and lower class limits. 10. The number of classes used has little effect on the shape of the histogram. 11. There is no one right way to choose the classes for a frequency distribution. 12. A mode occurs at the peak of a histogram. Practicing the Skills In Exercises 13–16, classify the histogram as skewed to the left, skewed to the right, or approximately symmetric. 13. 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 100 80 60 40 20 0 Frequency 14. 20 25 30 35 40 45 50 55 60 65 70 0.25 0.20 0.15 0.10 0.05 0 Relative Frequency 15. 2 6 10 14 18 22 26 30 34 50 40 30 20 10 0 Frequency 16. 50 55 60 65 70 75 80 85 90 95 100 0.25 0.20 0.15 0.10 0.05 0 Relative Frequency In Exercises 17 and 18, classify the histogram as unimodal or bimodal. 17. 0 1 2 3 4 5 6 7 8 9 10 11 12 80 60 40 20 0 Frequency 18. 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0.25 0.20 0.15 0.10 0.05 0 Relative Frequency Working with the Concepts 19. Student heights: The following frequency histogram presents the heights, in inches, of a random sample of 100 male college students. 63 64 65 66 67 68 69 70 71 72 73 74 18 15 12 9 6 3 0 Frequency Height (inches)
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