Chapter 2 - Frequency Distributions and Graphs

1 Chapter 2 - Frequency Distributions and Graphs EXERCISE SET 2-1 9. Class width is not uniform. 1. Frequency Distributions are used to 10. Class limits overlap, and class width is not organize data in a meaningful way, to uniform. determine the shape of the distribution , to facilitate computational procedures for 11. A class has been omitted. statistics, to make it easier to draw charts and Graphs , and to make comparisons 12. Class width is not uniform. among different sets of data. 13. 2. Categorical Distributions are used with Class f Percent nominal or ordinal data, ungrouped V 6 12. Distributions are used with data having a C 7 14.

2 Small range, and grouped Distributions are used when the range of the data is large. M 22 44. H 3 6. 3. Five to twenty classes. Width should be P 12 24. an odd number so that the midpoint will 50 100. have the same place value as the data. The mocha flavor class has the most data 4. An open-ended Frequency distribution values and the hazelnut class has the least has either a first class with no lower limit or number of data values. a last class with no upper limit. They are necessary to accomodate all the data. 14. Class f Percent 5. A 4 10%. Boundaries: M 28 70%. Midpoint: 60 H 6 15%. Width: 5 S 2 5%. 40 100%.

3 6. Boundaries: 15. Midpoint: 128. Limits Boundaries f Width: 7. 0 - 2. 7. 1 - 5. Boundaries: 2 - 24. Midpoint: 3 - 8. Width: 4 - 6. 5 - 4. 8. 6 - 0. Boundaries: 7 - 1. Midpoint: Width: 50. Copyright 2018 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education 8. Chapter 2 - Frequency Distributions and Graphs 15. continued 17. continued cf Limits Boundaries f Less than 0 48 - 54 - 3. Less than 2 55 - 61 - 2. Less than 7 62 - 68 - 9. Less than 31 69 - 75 - 13. Less than 39 76 - 82 - 8. Less than 45 83 - 89 - 3. Less than 49 90 - 96 - 2.

4 Less than 49 40. Less than 50 cf Less than 0. The category "twice a week" has more Less than 3. values than any other category. Less than 5. Less than 14. 16. Less than 27. Limits Boundaries f Less than 35. 3 - 2. Less than 38. 4 - 4. Less than 40. 5 - 4. 6 - 1 18. 7 - 4 H 110 L 54. 8 - 3 Range 110 54 56. 9 - 2 Width 56 7 8 round up to 9. 20 Limits Boundaries f cf 54 - 62 - 7. Less than 0 63 - 71 - 6. Less than 2 72 - 80 - 8. Less than 6 81 - 89 - 4. Less than 10 90 - 98 - 1. Less than 11 99 - 107 - 3. Less than 15 108 - 116 - 1. Less than 18 30. Less than 20. 17. H 93 L 48. Range 93 48 45. Width 45 7 round up to 7.

5 Copyright 2018 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education 9. Chapter 2 - Frequency Distributions and Graphs 18. continued 20. continued cf Limits Boundaries f 70,000 - 87,916 69, - 87, 1. Less than 0. 87,917 - 105,833 87, - 105, 3. Less than 7. 105,834 - 123,750 105, - 123, 7. Less than 13. 123,751 - 141,667 123, - 141, 6. Less than 21 141,668 - 159,584 141, - 159, 5. Less than 25 159,585 - 177,502 159, - 177, 3. 25. Less than 26. Less than 29 cf Less than 30 Less than 69, 0. Less than 87, 1. 19. Less than 105, 4. H 70 L 27 Less than 123, 11.

6 Range 70 27 43. Less than 141, 17. Width 43 7 or 7. Less than 159, 22. Limits Boundaries f Less than 177, 25. 27 - 33 - 7. 34 - 40 - 14 21. 41 - 47 - 15 H 88 L 12. Range 88 12 76. 48 - 54 - 11. Width 76 9 round up to 9. 55 - 61 - 3. 62 - 68 - 3 Limits Boundaries f 69 - 75 - 2 12 - 20 - 7. 55 21 - 29 - 7. 30 - 38 - 3. cf 39 - 47 - 3. Less than 0. 48 - 56 - 4. Less than 7. 57 - 65 - 3. Less than 21. 66 - 74 - 0. Less than 36. 75 - 83 - 2. Less than 47. 84 - 92 - 1. Less than 50. 30. Less than 53. Less than 55. 20. H 177,500 L 70,000. Range 177,500 70,000 107,500. Width 107,500 6 17, round up to 17,917. Copyright 2018 McGraw-Hill Education.

7 All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education 10. Chapter 2 - Frequency Distributions and Graphs 21. continued 23. continued cf Limits Boundaries f Less than 0 14 - 20 - 10. Less than 7 21 - 27 11. Less than 14 28 - 34 6. Less than 17 35 - 41 8. Less than 20 42 - 48 - 4. Less than 24 49 - 55 - 1. Less than 27 40. Less than 27. Less than 29 cf Less than 30 Less than 0. Less than 10. 22. Less than 21. H L Less than 27. Range Less than 35. Width 5 round up to 11. Less than 39. Limits Boundaries f Less than 40. 0 - 10 - 7. 11 - 21 - 6 24. 22 - 32 - 2 H 3462 L 3.

8 33 - 43 - 0 Range 3462 3 3459. 44 - 54 - 1 Width 3459 9 16 round up to 385. Limits Boundaries f cf 3 - 387 - 33. Less than 0 388 - 772 - 11. Less than 7 773 - 1157 - 3. Less than 13 1158 - 1542 - 2. Less than 15 1543 - 1923 - 0. 1924 - 2312 - 0. Less than 15. 2313 - 2697 - 1. Less than 16. 2698 - 3082 - 0. 3083 - 3467 - 1. 23. 51. H 49 L 14. Range 49 14 35. Width 7. Copyright 2018 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education 11. Chapter 2 - Frequency Distributions and Graphs 24. continued 26. continued cf Width 6 round up to Less than 0.

9 Less than 33 Limits Boundaries f - - 4. Less than 44. - - 6. Less than 47. - - 18. Less than 49. - - 8. Less than 49 - - 6. Less than 49 - - 7. Less than 50 - - 1. Less than 50 50. Less than 51. cf Less than 0. 25. Less than 4. H L Less than Range 10. Less than Width 7 round up to 28. Less than 36. Limits Boundaries f Less than 42. - - 1. Less than 49. - - 7. - - 9 Less than 50. - - 7. - - 8 27. The percents add up to 101%. They - - 4 should total 100% unless rounding was used. - - 4. 40 28. cf Class f Less than 0 0 1. Less than 1 1 4. Less than 8 2 5. Less than 17 3 7. Less than 24 4 4. Less than 32 5 4. Less than 36 6 3.

10 Less than 40 7 3. 8 5. 26. 9 5. H L Range No. Zero appears only once and 3 appears 7 times. Copyright 2018 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education 12. Chapter 2 - Frequency Distributions and Graphs EXERCISE SET 2-2 2. Limits Boundaries \7 f 1. 1 - 25 - 13 16. 26 - 50 - 38 14. Limits Boundaries \7 f 51 - 75 - 63 9. 90 - 98 - 94 6. 76 - 100 - 88 8. 99 - 107 - 103 22. 101 - 125 - 113 5. 108 - 116 - 112 43. 126 - 150 - 138 0. 117 - 125 - 121 28. 151 - 175 - 163 1. 126 - 134 - 130 9. 176 - 200 - 188 1. 108. 201 - 225 - 213 0.