ODD ANSWERS A47 11. Class width = 8; Lower class limits: 9, 17, 25, 33, 41, 49, 57; Upper class limits: 16, 24, 32, 40, 48, 56, 64 13. Class width = 15; Lower class limits: 17, 32, 47, 62, 77, 92, 107, 122; Upper class limits: 31, 46, 61, 76, 91, 106, 121, 136 15. (a) 11 (b) and (c) Class Midpoint Class boundaries 0 – 10 5 -0.5 – 10.5 11 – 21 16 10.5–21.5 22 – 32 27 21.5–32.5 33 – 43 38 32.5–43.5 44 – 54 49 43.5–54.5 55 – 65 60 54.5–65.5 66 – 76 71 65.5–76.5 17. Class Frequency, f Midpoint Relative frequency Cumulative frequency 0 – 10 188 5 0.15 188 11 – 21 372 16 0.30 560 22 – 32 264 27 0.22 824 33 – 43 205 38 0.17 1029 44 – 54 83 49 0.07 1112 55 – 65 76 60 0.06 1188 66 – 76 32 71 0.03 1220 Σf = 1220 Σ f n = 1 19. (a) 7 (b) Greatest frequency: about 300 Least frequency: about 10 (c) 10 (d) Sample answer: About half of the employee salaries are between $50,000 and $69,000. 21. Class with greatest frequency: 506–510 Classes with least frequency: 474–478 23. (a) Class with greatest relative frequency: 35–36 centimeters Class with least relative frequency: 39 –40 centimeters (b) Greatest relative frequency ≈ 0.25 Least relative frequency ≈ 0.01 (c) Sample answer: From the graph, 0.25 or 25% of females have a fibula length between 35 and 36 centimeters. 25. (a) 75 (b) 158.5–201.5 pounds 27. (a) 47 (b) 287.5 pounds (c) 40 (d) 6 29. Class Frequency, f Midpoint Relative frequency Cumulative frequency 28 – 57 2 42.5 0.08 2 58 – 87 4 72.5 0.17 6 88 – 117 7 102.5 0.29 13 118 – 147 7 132.5 0.29 20 148 – 177 4 162.5 0.17 24 Σf = 24 Σ f n ≈ 1 Classes with greatest frequency: 88–117, 118–147 Class with the least frequency: 28–57 31. Class Frequency, f Mid- point Relative frequency Cumulative frequency 1000 –2019 11 1509.5 0.52 11 2020 –3039 3 2529.5 0.14 14 3040– 4059 2 3549.5 0.10 16 4060– 5079 3 4569.5 0.14 19 5080– 6099 1 5589.5 0.05 20 6100– 7119 1 6609.5 0.05 21 Σf = 21 Σ f n = 1 Frequency Sales (in dollars) 1509.5 3549.5 5589.5 2529.5 4569.5 6609.5 2 4 6 8 10 12 14 July Sales for Representatives Sample answer: The graph shows that most of the sales representatives at the company sold from $1000 to $2019.
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