Elementary statistics a step by step approach 9th edition bluman solutions manual PDF

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This will help you in your high school classes too, not just secondary math. Also it's mostly statistics....

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Chapter 2 - Frequency Distributions and Graphs

Elementary Statistics A Step by Step Approach 9th Edition Bluman SOLUTIONS MANUAL Full clear download (no error formatting) at: http://testbanklive.com/download/elementary-statistics-a-step-by-stepapproach-9th-edition-bluman-solutions-manual/ Elementary Statistics A Step by Step Approach 9th Edition Bluman TEST BANK Full clear download (no error formatting) at: http://testbanklive.com/download/elementary-statistics-a-step-by-stepapproach-9th-edition-bluman-test-bank/

12. Class wid th is not uniform.

EXERCISE SET 2-1 1. Frequency distributions are used to organize data in a meaningful way, to determine the shape of the distribution, to facilitate computational pro cedures for statistics, to make it easier to draw charts and graphs, and to make comparisons among different sets of data. 2. Categorical distributions are used with nominal or ordinal data, ungrouped distributions are used with data having a small range, and grouped distributions are used when the range of the data is large. 3. Five to twenty classes. Width should be an odd number so that the midpoint will have the same place value as the data. 4. An open-ended frequency distribution has either a first class with no lower limit or a last class with no upper limit. They are necessary to accomodate all the data.

5. Bo undaries: 42.5 Midpoint: 45 Width: 5 6. Bo undaries: 124.5 Midpoint: 128 Width: 7 7. Bo undaries: 8.235 Midpoint: 9.8 Width: 3.13

47.5

131.5

13. Class f Percent F 19 38 C 14 28 B 10 20 A 7 14 100 50 The class with the most data values is professional football. The class with the least number of data values is auto racing. 14. Class f A 4 M 28 H 6 S 2

Percent 10% 70% 15% 5%

40

100%

15. Limits Boundaries f 0 -0.5 - 0.5 2 0.5 - 1.5 5 1 1.5 - 2.5 24 2 3 2.5 - 3.5 8 3.5 - 4.5 6 4 4.5 - 5.5 4 5 5.5 - 6.5 0 6 6.5 - 7.5 1 7 50

11.365 Less than -0.5 Less than 0.5

cf 0 2

Chapter 2 - Frequency Distributions and Graphs 8. Bo undaries: 16.25 Midpoint: 17.4 Width: 2.3

18.55

9. Class wid th is not uniform.

10. Class limits overlap, and class wid th is not uniform. 11. A class has been omitted.

Less than 1.5 Less than 2.5 Less than 3.5 Less than 4.5 Less than 5.5 Less than 6.5 Less than 7.5

7 31 39 45 49 49 50

The category "twice a week" has more values than any other category.

Chapter 2 - Frequency Distributions and Graphs 16. Limits 3 4 5 6 7 8 9

Boundaries 2.5 - 3.5 3.5 - 4.5 4.5 - 5.5 5.5 - 6.5 6.5 - 7.5 7.5 - 8.5 8.5 - 9.5

Less than 2.5 Less than 3.5 Less than 4.5 Less than 5.5 Less than 6.5 Less than 7.5 Less than 8.5 Less than 9.5

18. continued Limits Boundaries 54 - 62 53.5 - 62.5 63 - 71 62.5 - 71.5 72 - 80 71.5 - 80.5 81 - 89 80.5 - 89.5 90 - 98 89.5 - 98.5 99 - 107 98.5 - 107.5 108 - 116 107.5 - 116.5

f 2 4 4 1 4 3 2 20

cf 0 2 6 10 11 15 18 20

Less than 53.5 Less than 62.5 Less than 71.5 Less than 80.5 Less than 89.5 Less than 98.5 Less than 107.5 Less than 116.5

17. H œ 514 L œ 465 Range œ 514 465 œ 49 Width œ 49 ƒ 6 œ 8.2 round up to 9

Limits 465 - 473 474 - 482 483 - 491 492 - 500 501 - 509 510 - 518

Boundaries 464.5 - 473.5 473.5 - 482.5 482.5 - 491.5 491.5 - 500.5 500.5 - 509.5 509.5 - 518.5

Less than 464.5 Less than 473.5 Less than 482.5 Less than 491.5 Less than 500.5 Less than 509.5 Less than 518.5

f 9 7 7 6 7 4 40

cf 0 9 16 23 29 36 40

18. H œ 110 L œ 54 Range œ 110 54 œ 56 Width œ 56 ƒ 7 œ 8 round up to 9

f 7 6 8 4 1 3 1 30

cf 0 7 13 21 25 26 29 30

19. H œ 70 L œ 27 Range œ 70 27 œ 43 Width œ 43 ƒ 7 œ 6.1 or 7

Limits Boundaries 27 - 33 26.5 - 33.5 34 - 40 33.5 - 40.5 41 - 47 40.5 - 47.5 48 - 54 47.5 - 54.5 55 - 61 54.5 - 61.5 62 - 68 61.5 - 68.5 69 - 75 68.5 - 75.5

Less than 26.5 Less than 33.5 Less than 40.5 Less than 47.5 Less than 54.5 Less than 61.5 Less than 68.5

cf 0 7 21 36 47 50 53

Less than 75.5

55

f 7 14 15 11 3 3 2 55

20. H œ 177,500 L œ 70,000 Range œ 177,500 70,000 œ 107,500 Width œ 107,500 ƒ 6 œ 17,916.6 7 round up to 17,917

Chapter 2 - Frequency Distributions and Graphs 20. continued Limits Boundaries 70,000 - 87,916 69,999.5 - 87,916.5 87,917 - 105,833 87,916.5 - 105,833.5 105,834 - 123,750 105,833.5 - 123,750.5 123,751 - 141,667 123,750.5 - 141,667.5 141,668 - 159,584 141,667.5 - 159,584.5 159,585 - 177,502 159,584.5 - 177,502.5

Less than 69,999.5 Less than 87,916.5 Less than 105,833.5 Less than 123,750.5 Less than 141,667.5 Less than 159,584.5 Less than 177,502.5

cf 0 1 4 11 17 22 25

21. H œ 88 L œ 12 Range œ 88 12 œ 76 Width œ 76 ƒ 9 œ 8.4 round up to 9 Limits Boundaries 12 - 20 11.5 - 20.5 21 - 29 20.5 - 29.5 30 - 38 29.5 - 38.5 39 - 47 38.5 - 47.5 48 - 56 47.5 - 56.5 57 - 65 56.5 - 65.5 66 - 74 65.5 - 74.5 75 - 83 74.5 - 83.5 84 - 92 83.5 - 92.5

Less than 11.5 Less than 20.5 Less than 29.5 Less than 38.5 Less than 47.5 Less than 56.5 Less than 65.5 Less than 74.5 Less than 83.5 Less than 92.5

f 7 7 3 3 4 3 0 2 1 30

cf 0 7 14 17 20 24 27 27 29 30

22. H œ 51.7 L œ 1.2 Range œ 51.7 1.2 œ 50.5 Width œ 50.5 ƒ 5 œ 10.1 roun d up to 11

f 1 3 7 6 5 3 25

22. continued Limits Boundaries 0 - 10 -0.5 - 10.5 11 - 21 10.5 - 21.5 22 - 32 21.5 - 32.5 33 - 43 32.5 - 43.5 44 - 54 43.5 - 54.5

Less than -0.5 Less than 10.5 Less than 21.5 Less than 32.5 Less than 43.5 Less than 54.5

f 7 6 2 0 1 16

cf 0 7 13 15 15 16

23. H œ 123 L œ 77 Range œ 123 77 œ 46 Width œ 46 ƒ 7 œ 6.6 or 7 Limits 77 - 83 84 - 90 91 - 97 98 - 104 105 - 111 112 - 118 119 - 125

Boundaries f 76.5 - 83.5 1 83.5- 90.5 1 90.5- 97.5 6 97.5- 104.5 14 104.5 - 111.5 8 111.5 - 118.5 1 118.5 - 125.5 1 32

Less than 76.5 Less than 83.5 Less than 90.5 Less than 97.5 Less than 104.5 Less than 111.5 Less than 118.5 Less than 125.5

cf 0 1 2 8 22 30 31 32

24. H œ 3462 L œ 3 Range œ 3462 3 œ 3459 Width œ 3459 ƒ 9 œ 384.3 round up to 385

Chapter 2 - Frequency Distributions and Graphs

388 - 772 773 - 1157 1158 - 1542 1543 - 1923 1924 - 2312 2313 - 2697 2698 - 3082 3083 - 3467

Boundaries 2.5 - 387.5

f 33

387.5 - 772.5 11 772.5 - 1157.5 3 1157.5 - 1542.5 2 1542.5 - 1923.5 0 1923.5 - 2312.5 0 2312.5 - 2697.5 1 2697.5 - 3082.5 0 3082.5 - 3467.5 1 51

Less than 2.5 Less than 387.5 Less than 772.5 Less than 1157.5 Less than 1542.5 Less than 1923.5 Less than 2312.5 Less than 2697.5 Less than 3082.5

cf 0 33 44 47 49 49 49 50 50

Less than 3467.5

51

25. H œ 12.3 L œ 6.2 Range œ 12.3 6.2 œ 6.1 Width œ 6.1 ƒ 7 œ 0.87 round up to 0.9 Limits Boundaries f 6.2 - 7.0 6.15 - 7.05 1 7.1 - 7.9 7.05 - 7.95 7 8.0 - 8.8 7.95 - 8.85 9 8.9 - 9.7 8.85 - 9.75 7 9.8 - 10.6 9.75 - 10.65 8 10.7 - 11.5 10.65 - 11.55 4 11.6 - 12.4 11.55 - 12.45 4 40

Less than 6.15 Less than 7.05 Less than 7.95 Less than 8.85 Less than 9.75 Less than 10.65 Less than 11.55 Less than 12.45

cf 0 1 8 17 24 32 36 40

26. H œ 37.9 L œ 17.3 Range œ 37.9 17.3 œ 20.6

26. continued Width œ 20.6 ƒ 6 œ 3.43 roun d up to 3.5

Limits 17.3 - 20.2 20.3 - 23.2 23.3 - 26.2 26.3 - 29.2 29.3 - 32.2 32.3 - 35.2 35.3 - 38.2

Boundaries 17.25 - 20.25 20.25 - 23.25 23.25 - 26.25 26.25 - 29.25 29.25 - 32.25 32.25 - 35.25 35.25 - 38.25

Less than 17.25 Less than 20.25 Less than 23.25 Less than 26.25 Less than 29.25 Less than 32.25 Less than 35.25 Less than 38.25

f 4 6 18 8 6 7 1 50

cf 0 4 10 28 36 42 49 50

27. The percents add up to 101%. They should total 100% unless rounding was used. 28. Class 0 21 3 4 5 6 7 8 9

f 1 54 7 4 4 3 3 5 5

No. Zero appears only once and 3 appears 7 times. EXERCISE SET 2-2 1. 50 40 frequency

24. continued Limits 3 - 387

20 30 10 0 89.598.5

98.5107.5

107.5116.5 I.Q.

116.5125.5

125.5134.5

Chapter 2 - Frequency Distributions and Graphs

frequency

1. continued

2. continued

60

20

40

15

20

f 10

0 85

94

103

112

121

130

5

139

0

I.Q.

0.5-25.5 25.5-50.5 50.5-75.5

75.5100.5

100.5125.5

125.5150.5

150.5200.5

200.5225.5

cumulative frequency

Number of bears

120 100 80 60 40

20

20 0 89.5

15 98.5

107.5

116.5

125.5

134.5

f 10

I.Q.

5

Eighty applicants do not need to enroll in the summer programs.

0 13

38

63

88

113 138 163 188 213 238

Number of bears

2. Limits 1 - 25 26 - 50 51 - 75 76 - 100 101 - 125 126 - 150 151 - 175 176 - 200 201 - 225

Boundaries 0.5 - 25.5 25.5 - 50.5 50.5 - 75.5 75.5 - 100.5 100.5 - 125.5 125.5 - 150.5 150.5 - 175.5 175.5 - 200.5 200.5 - 225.5

\7 f 13 18 38 12 7 63 88 6 113 2 138 3 163 0 188 2 213 0

226 - 250

225.5 - 250.5

238

Less than 0.5 Less than 25.5 Less than 50.5 Less than 75.5 Less than 100.5 Less than 125.5 Less than 150.5 Less than 175.5 Less than 200.5 Less than 225.5 Less than 250.5

cf 0 18 30 37 43 45 48 48 50 50 52

2 52

60 50 40 cf 30 20 10 0 0.5 25.5 50.5 75.5 101 126 151 176 201 226 251 Number of bears

Thirty-seven coun ties had 75 or fewer bears killed. 3. Limits 3 - 45 46 - 88 89 - 131 132 - 174 175 - 217 218 - 260

Boundaries \7 f 2.5 - 45.5 24 19 45.5 - 88.5 67 19 88.5 - 131.5 110 10 131.5 - 174.5 153 1 174.5 - 217.5 196 0 217.5 - 260.5 239 1 50

Less than 2.5 Less than 45.5 Less than 88.5 Less than 131.5 Less than 174.5 Less than 217.5 Less than 260.5

cf 0 19 38 48 49 49 50

225.5250.5

Chapter 2 - Frequency Distributions and Graphs 3. continued

4. continued

20

10 8

frequency

15

6

10 4 2

5

0

0

69.5-116.5 2.5-45.5

The distribution is positively skewed.

frequency

20 15 10 5 0 24

67

110

153

196

239

cumulative frequen cy

Counties, parishes, or divisions

60 50 40 30 20 10 0 45.5

88.5

131.5

174.5

217.5

Counties, parishes, or divisions

4. Limits 70 - 116 117 - 163 164 - 210 211 - 257 258 - 304 305 - 351 352 - 398

163.5-210.5 210.5-257.5 257.5-304.5 304.5-351.5 351.5-398.5 Number of faculty

Counties, parishes, or divisions

2.5

116.5-163.5

45.5-88.5 88.5-131.5 131.5-174.5 174.5-217.5 217.5-260.5

Boundaries 69.5 - 116.5 116.5 - 163.5 163.5 - 210.5 210.5 - 257.5 257.5 - 304.5 304.5 - 351.5 351.5 - 398.5

Less than 69.5 Less than 116.5 Less than 163.5 Less than 210.5 Less than 257.5 Less than 304.5 Less than 351.5 Less than 398.5

cf 0 5 14 20 26 26 27 28

\7 93 140 187 234 281 328 375

f 5 9 6 6 0 1 1 28

260.5

Chapter 2 - Frequency Distributions and Graphs 6. continued The distribution is left skewed or negatively skewed.

5. continued The distribution is positively skewed. 30

25 Frequency

20 15 10

0 0.5- 43.5

43 .5-8 6.5

86.5- 129.5

12 9 .5- 17 2.5 17 2.5- 215.5 2 15 .5-2 58.5 2 58.5 -3 0 1.5 301.5- 3 4 4 .5

Acci de nts

30 Frequency

25 20 15

7. Limits Boundaries 21 - 29 20.5 - 29.5 30 - 38 29.5 - 38.5 39 - 47 38.5 - 47.5 48 - 56 47.5 - 56.5 57 - 65 56.5 - 65.5 66 - 74 65.5 - 74.5 75 - 83 74.5 - 83.5

\7 25 34 43 52 61 70 79

10 5

f 5 10 13 10 4 3 1 46

0 22

65

108 151 194 237 280

323

Accid e nt s

Cum ulative Frequency

60 50 40 30 20 10 0 0.5

43.5

86.5

129.5 172.5 215.5 258.5 301. 5 344.5 A ccide nt s

Less than 20.5 Less than 29.5 Less than 38.5 Less than 47.5 Less than 56.5 Less than 65.5 Less than 74.5 Less than 83.5

cf 0 5 15 28 38 42 45 46

14 12

6.

10 f

14 12

6 4

freq uency

10

2

8

0

6

20.5-29.5 29.5-38.5 38.5-47.5 47.5-56.5 56.5-65.5 65.5-74.5 74 .5-83.5

4

Points

2 0 39 . 85 - 42 .8 5

42 .85- 45 .85

45 . 85 - 48 .85

48 .85- 51.8 5

51 . 85- 54 .85

54 . 85 - 57.85

M illio n s o f Do lla rs

14 12 10

14 12

f

frequ ency

10 8 6

8 6 4 2 0 25

4

34

43

2

52

61

70

79

Points

0 38.35

41.35

44.35

47.35

50.35

53.35

56.35

59.35

M illions of Do llar s

60

cumulative frequency

50 35

40

30

cf 30

25

20

20

10

15

0

10

20.5

5

29.5

38.5

47.5

56.5

Points

0 38.85

42.85

45.85

48.85

51.85

Millions of Dollars

54.85

57.85

65.5

74.5

83.5

Chapter 2 - Frequency Distributions and Graphs 8.

9. continued With minor differences, the histograms are fairly similar.

20

10.

10

20

5 0 5.5-8.5

8.5-11.5 11.5-14.5 14.5-17.5 17.5-20.5 20.5-23.5 23. 5-26. 5

Costs of utilities

frequency

Frequency

15

15 10 5 0 17.5 22.5

22.5 27.5

27.5 32.5

32.5 37.5

37.5 42.5

42.5 47.5

20

10

20

5

frequency

Frequency

% At or Above Re ading Le ve l 15

0 7

10

13

16

19

22

25

Cos ts of utilitie s

15 10 5

Cumulative frequency

0 35 30 25

17.5 -

22.5 -

27.5 -

32.5 -

37.5 -

42.5 -

22.5

27.5

32.5

37.5

42.5

47.5

% At or Above M ath Le ve l

20 15 10 5 0 5.5

8.5

11.5

14.5

17.5

20.5

23.5

Co s ts o f u tilitie s

The distribution is positively skewed. 9. Limits Boundaries 10 - 14 9.5 - 14.5 15 - 19 1 4.5 - 19.5 20 - 24 19.5 - 24.5 25 - 29 24.5 - 29.5 30 - 34 29.5 - 34.5 35 - 39 2 4.5 - 39.5 40 - 44 39.5 - 44.5 45 - 49 44.5 - 49.5 Total

f (now) 6 4 3 2 5 1 2 1 24

f(5 years ago) 5 4 2 3 6 2 1 1 24

8

26.5

The distribution of math percentages is more bell-shaped than the distribution of reading percentages, and its peak in the class of 32.5 37.5 is not as high as the peak of the reading percentages. 11. Limits Boundaries 60 - 64 59.5 - 64.5 65 - 69 64.5 - 69.5 70 - 74 69.5 - 74.5 75 - 79 74.5 - 79.5 80 - 84 79.5 - 84.5 85 - 89 84.5 - 89.5 90 - 94 89.5 - 94.5 95 - 99 94.5 - 99.5

6 f4 2 0 9.5-14.5

14.519.5

19.524.5

24.529.5

29.534.5

34.539.5

39.544.5

44.549.5

Sulfur Dioxide (now)

7 6 5 4 f 3 2 1 0 9.5-14.5 14.5-19.5 19.5-24.5 24.5-29.5 29.5-34.5 34.5-39.5 39.5-44.5 44.5-49.5 Sulfur Dioxide (5years ago)

Less than 59.5 Less than 64.5 Less than 69.5 Less than 74.5 Less than 79.5 Less than 84.5 Less than 89.5 Less than 94.5 Less than 99.5

cf 0 2 3 8 20 38 44 49 50

\7 62 67 72 77 82 87 92 97

f 2 1 5 12 18 6 5 1 50

Chapter 2 - Frequency Distributions and Graphs 11. continued

12. continued

20

60

15

50

f 10

40

5

cf 30

0 59.5-64.5 64.5-69.5 69.5-74.5 74.5-79.5 79.5-84.5 84.5-89.5 89.5-94.5 94.5-99.5

20 10

Blood Glucose Levels

0 10.5

15.5

20.5

25.5

20

30.5

35.5

40.5

45.5

Waiting Times

15

Ten patients waited longer than 30 minutes.

f 10

5

13. 62

67

72

77

82

87

92

relative frequency

0 97

Blood Glucose Levels

0.4 0.3 0.2 0.1 0 89.598.5

60

98.5107.5

107.5116.5

116.5125.5

125.5134.5

I. Q.

50 40 20 10 0 59.5

64.5

69.5

74.5

79.5

84.5

89.5

94.5

Blood Glucose Levels

99.5

relative frequency

30 0.4 0.3 0.2 0.1 0

85

94

103

112

121

130

139

I. Q.

cumulative rel ative frequency

12. 20 15 f 10 5

1 0.8 0.6 0.4 0.2 0 89.5

98.5

107.5

0

116.5

125.5

134.5

I. Q.

10.515.5

15.520.5

20.525.5

30.535.5

25.530.5

35.540.5

Waiting Times

15 f 10

5 0 18

23

28

33

Waiting Times

The proportion of applicants who need to enroll in a summer progr am is 0.26 or 26%.

20

13

40.545.5

38

43

14. Boundaries \ 7 0.5 - 25.5 13 25.5 - 50.5 38 50.5 - 75.5 63 75.5 - 100.5 88 100.5 - 125.5 113 125.5 - 150.5 138 150.5 - 175.5 163 175.5 - 200.5 188 200.5 - 225.5 213 225.5 - 250.5 238

rf 0.35 0.23 0.13 0.12 0.04 0.06 0.00 0.04 0.00 0.04 1.01

Chapter 2 - Frequency Distributions and Graphs 14. continued crf

15. Boundaries

\7

rf

Less than 0.5 Less than 25.5 Less than 50.5 Less than 75.5 Less than...