A48 ODD ANSWERS 33. Class Frequency, f Mid- point Relative frequency Cumulative frequency 291 – 318 5 304.5 0.1667 5 319 – 346 4 332.5 0.1333 9 347 – 374 3 360.5 0.1000 12 375 – 402 5 388.5 0.1667 17 403 – 430 6 416.5 0.2000 23 431 – 458 4 444.5 0.1333 27 459 – 486 1 472.5 0.0333 28 487 – 514 2 500.5 0.0667 30 Σf = 30 Σ f n = 1 Frequency Reaction time (in milliseconds) 304.5 360.5 416.5 472.5 332.5 388.5 444.5 500.5 2 4 6 Reaction Times for Females Sample answer: The graph shows that the most frequent reaction times were from 403 to 430 milliseconds. 35. Class Frequency, f Midpoint Relative frequency Cumulative frequency 42 – 47 6 44.5 0.13 6 48 – 53 11 50.5 0.24 17 54 – 59 17 56.5 0.37 34 60 – 65 8 62.5 0.17 42 66 – 71 3 68.5 0.07 45 72 – 77 0 74.5 0.00 45 78 – 83 1 80.5 0.02 46 Σf = 46 Σ f n ≈ 1 Frequency Age (in years) Ages of U.S. Presidents at Inauguration 38.5 44.5 50.5 56.5 62.5 68.5 74.5 80.5 86.5 5 10 15 20 Sample answer: The graph shows that the number of U.S. presidents who were 60 or older at inauguration was less than half as many as those who were 59 and younger. 37. Class Frequency, f Midpoint Relative frequency Cumulative frequency 1 – 2 7 1.5 0.19 7 3 – 4 8 3.5 0.22 15 5 – 6 10 5.5 0.28 25 7 – 8 2 7.5 0.06 27 9 – 10 9 9.5 0.25 36 Σf = 36 Σ f n = 1 Relative frequency Ratings 1.5 5.5 9.5 3.5 7.5 0.1 0.3 0.2 Taste Test Ratings Class with greatest relative frequency: 5–6 Class with least relative frequency: 7–8 39. Class Frequency, f Midpoint Relative frequency Cumulative frequency 60 – 63 6 61.5 0.2143 6 64 – 67 7 65.5 0.2500 13 68 – 71 9 69.5 0.3214 22 72 – 75 6 73.5 0.2143 28 76 – 79 0 77.5 0.0000 28 Σf = 28 Σ f n = 1 Relative frequency Length (in centimeters) 61.5 69.5 77.5 65.5 73.5 0.15 0.30 0.05 0.35 0.20 0.10 0.25 Lengths of Fijian Banded Iguanas Class with greatest relative frequency: 68–71 Class with least relative frequency: 76–79
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