Chapter 2 - Frequency Distributions and Graphs: Class F Percent
Chapter 2 - Frequency Distributions and Graphs: Class F Percent
Chapter 2 - Frequency Distributions and Graphs: Class F Percent
11.
A class has been omitted.
7
Chapter 2 - Frequency Distributions and Graphs
cf cf
Less than 2.5 0 Less than 53.5 0
Less than 3.5 2 Less than 62.5 7
Less than 4.5 6 Less than 71.5 13
Less than 5.5 10 Less than 80.5 21
Less than 6.5 11 Less than 89.5 25
Less than 7.5 15 Less than 98.5 26
Less than 8.5 18 Less than 107.5 29
Less than 9.5 20 Less than 116.5 30
17. 19.
H œ 514 L œ 465 H œ 70 L œ 27
Range œ 514 465 œ 49 Range œ 70 27 œ 43
Width œ 49 ƒ 6 œ 8.2 round up to 9 Width œ 43 ƒ 7 œ 6.1 or 7
8
Chapter 2 - Frequency Distributions and Graphs
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 round up to 11
9
Chapter 2 - Frequency Distributions and Graphs
cf cf
Less than 2.5 0 Less than 17.25 0
Less than 387.5 33 Less than 20.25 4
Less than 772.5 44 Less than 23.25 10
Less than 1157.5 47 Less than 26.25 28
Less than 1542.5 49 Less than 29.25 36
Less than 1923.5 49 Less than 32.25 42
Less than 2312.5 49 Less than 35.25 49
Less than 2697.5 50 Less than 38.25 50
Less than 3082.5 50
Less than 3467.5 51 27. The percents add up to 101%. They
should total 100% unless rounding was used.
25.
H œ 12.3 L œ 6.2 28.
Range œ 12.3 6.2 œ 6.1 Class f
Width œ 6.1 ƒ 7 œ 0.87 round up to 0.9 0 1
1 4
Limits Boundaries f 2 5
6.2 - 7.0 6.15 - 7.05 1 3 7
7.1 - 7.9 7.05 - 7.95 7 4 4
8.0 - 8.8 7.95 - 8.85 9 5 4
8.9 - 9.7 8.85 - 9.75 7 6 3
9.8 - 10.6 9.75 - 10.65 8 7 3
10.7 - 11.5 10.65 - 11.55 4 8 5
11.6 - 12.4 11.55 - 12.45 4 9 5
40
No. Zero appears only once and 3 appears 7
cf times.
Less than 6.15 0
Less than 7.05 1 EXERCISE SET 2-2
Less than 7.95 8
Less than 8.85 17 1.
Less than 9.75 24 50
Less than 10.65 32 40
frequency
30
Less than 11.55 36 20
10
Less than 12.45 40 0
89.5- 98.5- 107.5- 116.5- 125.5-
98.5 107.5 116.5 125.5 134.5
26. I.Q.
H œ 37.9 L œ 17.3
Range œ 37.9 17.3 œ 20.6
10
Chapter 2 - Frequency Distributions and Graphs
1. continued 2. continued
60 20
frequency 40 15
20
f 10
0
5
85 94 103 112 121 130 139
0
I.Q.
0.5-25.5 25.5-50.5 50.5-75.5 75.5- 100.5- 125.5- 150.5- 200.5- 225.5-
100.5 125.5 150.5 200.5 225.5 250.5
Number of bears
120
cumulative frequency
100
80
60 20
40
20
15
0
89.5 98.5 107.5 116.5 125.5 134.5
f 10
I.Q.
5
Eighty applicants do not need to enroll in the
0
summer programs. 13 38 63 88 113 138 163 188 213 238
Number of bears
2.
Limits Boundaries \7 f
1 - 25 0.5 - 25.5 13 18
26 - 50 25.5 - 50.5 38 12 60
50
51 - 75 50.5 - 75.5 63 7
40
76 - 100 75.5 - 100.5 88 6
cf 30
101 - 125 100.5 - 125.5 113 2
20
126 - 150 125.5 - 150.5 138 3
10
151 - 175 150.5 - 175.5 163 0 0
176 - 200 175.5 - 200.5 188 2 0.5 25.5 50.5 75.5 101 126 151 176 201 226 251
201 - 225 200.5 - 225.5 213 0 Number of bears
226 - 250 225.5 - 250.5 238 2
52 Thirty-seven counties had 75 or fewer bears
killed.
cf
Less than 0.5 0 3.
Less than 25.5 18 Limits Boundaries \7 f
Less than 50.5 30 3 - 45 2.5 - 45.5 24 19
Less than 75.5 37 46 - 88 45.5 - 88.5 67 19
Less than 100.5 43 89 - 131 88.5 - 131.5 110 10
Less than 125.5 45 132 - 174 131.5 - 174.5 153 1
Less than 150.5 48 175 - 217 174.5 - 217.5 196 0
Less than 175.5 48 218 - 260 217.5 - 260.5 239 1
Less than 200.5 50 50
Less than 225.5 50
Less than 250.5 52 cf
Less than 2.5 0
Less than 45.5 19
Less than 88.5 38
Less than 131.5 48
Less than 174.5 49
Less than 217.5 49
Less than 260.5 50
11
Chapter 2 - Frequency Distributions and Graphs
3. continued 4. continued
20
10
15 8
frequency
6
10
4
5 2
0
0 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
2.5-45.5 45.5-88.5 88.5-131.5 131.5-174.5 174.5-217.5 217.5-260.5
Number of faculty
Counties, parishes, or divisions
frequency
6
20
4
15
frequency
2
10
0
5 93 140 187 234 281 328 375
Number of faculty
0
24 67 110 153 196 239
Counties, parishes, or divisions
30
cumulative frequency
25
60 20
cumulative frequency
50 15
40 10
30 5
20 0
10 69.5 116.5 163.5 210.5 257.5 304.5 351.5 398.5
0 Number of faculty
2.5 45.5 88.5 131.5 174.5 217.5 260.5
Counties, parishes, or divisions
"#
#)
œ 0.429 or 42.9% have 180 or more.
The histogram and frequency polygon are
4. positively skewed.
Limits Boundaries \7 f
70 - 116 69.5 - 116.5 93 5 5.
117 - 163 116.5 - 163.5 140 9 Limits Boundaries \7 f
164 - 210 163.5 - 210.5 187 6 1 - 43 0.5 - 43.5 22 24
211 - 257 210.5 - 257.5 234 6 44 - 86 43.5 - 86.5 65 17
258 - 304 257.5 - 304.5 281 0 87 - 129 86.5 - 129.5 108 3
305 - 351 304.5 - 351.5 328 1 130 - 172 129.5 - 172.5 151 4
352 - 398 351.5 - 398.5 375 1 173 - 215 172.5 - 215.5 194 1
28 216 - 258 215.5 - 258.5 237 0
259 - 301 258.5 - 301.5 280 0
cf 302 - 344 301.5 - 344.5 323 1
Less than 69.5 0 50
Less than 116.5 5
Less than 163.5 14 cf
Less than 210.5 20 Less than 0.5 0
Less than 257.5 26 Less than 43.5 24
Less than 304.5 26 Less than 86.5 41
Less than 351.5 27 Less than 129.5 44
Less than 398.5 28 Less than 172.5 48
Less than 215.5 49
Less than 258.5 49
Less than 301.5 49
Less than 344.5 50
12
Chapter 2 - Frequency Distributions and Graphs
5. continued 6. continued
The distribution is positively skewed. The distribution is left skewed or negatively
30 skewed.
25
20 7.
Frequency
15
Limits Boundaries \7 f
10
5
21 - 29 20.5 - 29.5 25 5
0 30 - 38 29.5 - 38.5 34 10
0.5-43.5 43.5-86.5 86.5-129.5 129.5-172.5 172.5-215.5 215.5-258.5 258.5-301.5 301.5-344.5
20
15 75 - 83 74.5 - 83.5 79 1
10
46
5
0
22 65 108 151 194 237 280 323
cf
Accide nts
Less than 20.5 0
Less than 29.5 5
Less than 38.5 15
Cumulative Frequency
60
50 Less than 47.5 28
40
30 Less than 56.5 38
20
10
Less than 65.5 42
0 Less than 74.5 45
0.5 43.5 86.5 129.5 172.5 215.5 258.5 301.5 344.5
Less than 83.5 46
Accide nts
14
12
6. 10
8
14 f
12
6
10 4
frequency
8 2
6 0
4 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
2 Points
0
39.85-42.85 42.85-45.85 45.85-48.85 48.85-51.85 51.85-54.85 54.85-57.85
M illions of Dolla rs
14
12
14 10
12 8
f
10 6
4
frequency
8
2
6 0
4 25 34 43 52 61 70 79
2 Points
0
38.35 41.35 44.35 47.35 50.35 53.35 56.35 59.35
Millions of Dollars
60
50
35
40
30
cf 30
cumulative frequency
25
20
20
10
15
0
10
20.5 29.5 38.5 47.5 56.5 65.5 74.5 83.5
5
Points
0
38.85 42.85 45.85 48.85 51.85 54.85 57.85
Millions of Dollars
13
Chapter 2 - Frequency Distributions and Graphs
8. 9. continued
20
With minor differences, the histograms are
fairly similar.
15
Frequency
10 10.
5 20
frequency
15
0 10
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
5
Costs of utilities
0
17.5 - 22.5 - 27.5 - 32.5 - 37.5 - 42.5 -
22.5 27.5 32.5 37.5 42.5 47.5
20
% At or Above Reading Level
15
Frequency
10
5 20
frequency
0 15
7 10 13 16 19 22 25 10
Costs of utilities
5
0
17.5 - 22.5 - 27.5 - 32.5 - 37.5 - 42.5 -
Cumulative frequency
35
30 22.5 27.5 32.5 37.5 42.5 47.5
25
20 % At or Above Math Level
15
10
5
0 The distribution of math percentages is more
5.5 8.5 11.5 14.5 17.5 20.5 23.5 26.5 bell-shaped than the distribution of reading
Cos ts of utilitie s
percentages, and its peak in the class of
32.5 37.5 is not as high as the peak of the
The distribution is positively skewed.
reading percentages.
9.
Limits Boundaries f (now) f(5 years ago)
11.
10 - 14 9.5 - 14.5 6 5 Limits Boundaries \7 f
15 - 19 14.5 - 19.5 4 4 60 - 64 59.5 - 64.5 62 2
20 - 24 19.5 - 24.5 3 2 65 - 69 64.5 - 69.5 67 1
25 - 29 24.5 - 29.5 2 3
30 - 34 29.5 - 34.5 5 6
70 - 74 69.5 - 74.5 72 5
35 - 39 24.5 - 39.5 1 2 75 - 79 74.5 - 79.5 77 12
40 - 44 39.5 - 44.5 2 1 80 - 84 79.5 - 84.5 82 18
45 - 49 44.5 - 49.5 1 1 85 - 89 84.5 - 89.5 87 6
Total 24 24
90 - 94 89.5 - 94.5 92 5
8 95 - 99 94.5 - 99.5 97 1
6 50
f4
2
0
cf
9.5-14.5 14.5- 19.5- 24.5- 29.5- 34.5- 39.5- 44.5- Less than 59.5 0
19.5 24.5 29.5 34.5 39.5 44.5 49.5
Less than 64.5 2
Sulfur Dioxide (now)
Less than 69.5 3
Less than 74.5 8
7 Less than 79.5 20
6
5 Less than 84.5 38
f
4
3
Less than 89.5 44
2 Less than 94.5 49
1
0 Less than 99.5 50
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 (5 years ago)
14
Chapter 2 - Frequency Distributions and Graphs
relative frequency
62 67 72 77 82 87 92 97 0.4
Blood Glucose Levels 0.3
0.2
0.1
0
89.5- 98.5- 107.5- 116.5- 125.5-
98.5 107.5 116.5 125.5 134.5
60
I. Q.
50
40
cf 30
relative frequency
20 0.4
10 0.3
0 0.2
59.5 64.5 69.5 74.5 79.5 84.5 89.5 94.5 99.5 0.1
Blood Glucose Levels 0
85 94 103 112 121 130 139
I. Q.
12.
1
cumulative relative
20 0.8
frequency
0.6
15
0.4
f 10 0.2
0
5 89.5 98.5 107.5 116.5 125.5 134.5
0 I. Q.
10.5- 15.5- 20.5- 25.5- 30.5- 35.5- 40.5-
15.5 20.5 25.5 30.5 35.5 40.5 45.5
The proportion of applicants who need to
Waiting Times enroll in a summer program is 0.26 or 26%.
14.
20
Boundaries \7 rf
15 0.5 - 25.5 13 0.35
f 10 25.5 - 50.5 38 0.23
50.5 - 75.5 63 0.13
5
75.5 - 100.5 88 0.12
0
100.5 - 125.5 113 0.04
13 18 23 28 33 38 43
125.5 - 150.5 138 0.06
Waiting Times
150.5 - 175.5 163 0.00
175.5 - 200.5 188 0.04
200.5 - 225.5 213 0.00
225.5 - 250.5 238 0.04
1.01
15
Chapter 2 - Frequency Distributions and Graphs
0.6
0.4 0.5
0.3 0.4
rf 0.3
rf 0.2
0.2
0.1
0.1
0 0
13 38 63 88 113 138 163 188 213 238 0.5- 43.5- 86.5- 129.5- 172.5- 215.5- 258.5- 301.5-
Bear Kills 43.5 86.5 129.5 172.5 215.5 258.5 301.5 344.5
Number of accidents
1.2
1 0.6
0.5
0.8
0.4
crf 0.6
rf 0.3
0.4 0.2
0.2 0.1
0 0
0.5 25.5 50.5 75.5 100.5 125.5 150.5 175.5 200.5 225.5 250.5 22 65 108 151 194 237 280 323
16
Chapter 2 - Frequency Distributions and Graphs
0.15
Less than 42.85 0.13 0.1
0.25
0.5
relative frequency
0.2
0.4
0.3 0.15
rf
0.2 0.1
0.1 0.05
0
0
39.85- 42.85- 45.85- 48.85- 51.85- 54.85- 65 94 123 152 181 210 239 268 297
42.85 45.85 48.85 51.85 54.85 57.85
Calo r ie s
Salaries
1.2
cumulative relative frequency
0.5 1
0.8
0.4
0.6
0.3
0.4
rf
0.2 0.2
0.1 0
79.5 108.5 137.5 166.5 195.5 224.5 253.5 282.5
0 Calor ie s
41.35 44.35 47.35 50.35 53.35 56.35
Salaries
The histogram has two peaks.
1.2
1
0.8
crf 0.6
0.4
0.2
0
39.85 42.85 45.85 48.85 51.85 54.85 57.85
Salaries
17
Chapter 2 - Frequency Distributions and Graphs
18. 19.
Boundaries \7 rf Limits Boundaries Xm f
11.5 - 19.5 15.5 0.175 22 - 24 21.5 - 24.5 23 1
19.5 - 27.5 23.5 0.425 25 - 27 24.5 - 27.5 26 3
27.5 - 35.5 31.5 0.25 28 - 30 27.5 - 30.5 29 0
35.5 - 43.5 39.5 0.10 31 - 33 30.5 - 33.5 32 6
43.5 - 51.5 47.5 0.025 34 - 36 33.5 - 36.5 35 5
51.5 - 59.5 55.5 0.025 37 - 39 36.5 - 39.5 38 3
1.000 40 - 42 39.5 - 42.5 41 2
20
crf
Less than 11.5 0.000 cf
Less than 19.5 0.175 Less than 21.5 0
Less than 27.5 0.600 Less than 24.5 1
Less than 35.5 0.850 Less than 27.5 4
Less than 43.5 0.950 Less than 30.5 4
Less than 51.5 0.975 Less than 33.5 10
Less than 59.5 1.000 Less than 36.5 15
Less than 39.5 18
0.45
Less than 42.5 20
0.4
relative frequency
0.35
0.3 8
0.25
fr e q ue n cy
0.2 6
0.15
0.1 4
0.05
0 2
11.5-19.5 19.5-27.5 27.5-35.5 35.5-43.5 43.5-51.5 51.5-59.5
Gram s 0
23 26 29 32 35 38 41
Seconds
0.45
0.4
0.35
relative frequency
0.3
0.25 25
0.2
20
fr e que ncy
0.15
0.1 15
0.05
10
0
7.5 15.5 23.5 31.5 39.5 47.5 55.5 63.5 5
Gram s 0
21.5 24.5 27.5 30.5 33.5 36.5 39.5 42.5
Seconds
1.2
cumulative relative
1
20.
frequency
0.8
0.6 a. 0
0.4
b. 14
0.2
0
c. 10
11.5 19.5 27.5 35.5 43.5 51.5 59.5 d. 16
Grams
18
Chapter 2 - Frequency Distributions and Graphs
21. 1. continued
Boundaries \7 f
200
468.5 - 495.5 482 6
495.5 - 522.5 509 15 150
522.5 - 549.5 536 10 100
549.5 - 576.5 563 7 50
576.5 - 603.5 590 6
0
603.5 - 630.5 617 6 Dogs Cats Fish Other
50
Pets
f
Less than 468.5 0
Other
Less than 495.5 6
Less than 522.5 21 Fish
Less than 549.5 31 Pets
Less than 576.5 38 Cats
15 2.
f 10 f
5
Wendy's $8.7
KFC 14.2
0
468.5-495.5 495.5-522.5 522.5-549.5 549.5-576.5 576.5-603.5 603.5-630.5
Pizza Hut 9.3
Burger King 12.7
Average Mathematics Score
Subway 10.0
Sales of Fast Foods
20
Subway
15
Pizza Hut
f 10
5 Wendy's
0 0 2 4 6 8 10 12 14 16
15
Dollars (billions)
10
EXERCISE SET 2-3
5
1.
0
f KFC Burger King Subway Pizza Hut Wendy's
Dogs 78 Sales of Fast Foods
Cats 86
Fish 160
Other 53
19
Chapter 2 - Frequency Distributions and Graphs
3. 7.
4.
There was a considerable increase between
700
2005 and 2007, then small increases after
600
500
2007.
Number
400
300 8.
200
100
$140
0 $120
North Europe Asia South Australia Africa $100
America America
$80
Amount
$60
$40
5. $20
$0
$150.00 2007 2008 2009 2010 2011 2012
$100.00 Year
Billions
$50.00
There was an increase in spending between
$0.00 2007 and 2008 followed by a decrease in
2010 2011 2012 2013 2014 2015
spending between 2008 and 2009. Spending
Year
showed slight increases in 2010, 2011, and
2012.
There is a steady increase over the years.
9.
6.
1,500,000
Grading of Schools F
1,450,000
D 1%
1,400,000
1,350,000
5%
Number 1,300,000 A
1,250,000 C 35%
1,200,000 15%
1,150,000
1,100,000
2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 B
Year 44%
20
Chapter 2 - Frequency Distributions and Graphs
10. 13.
Personal Business 146 14.6% 52.56° ì
Visit friends or family 330 33.0% 118.8° ì ì
Work-related 225 22.5% 81.0° ì ì
ì ì ì ì ì
Leisure 299 29.9% 107.64°
ì ì ì ì ì ì ì
1000 100% 360° ì ì ì ì ì ì ì ì ì ì
ì ì ì ì ì ì ì ì ì ì ì
ì ì ì ì ì ì ì ì ì ì ì ì ì ì
Per s ona l
L eis u r e 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
14 .6 %
29 .9 %
V is it
The dotplot is somewhat positively skewed
W ork 33 .0 % and shows that the majority of the players
2 2.5% are between 21 and 30 years old. There are
2 peaks at 24 years old, with 7 players, and
at 25 years old, with 8 players.
About "3 of the travelers visit friends or
relatives, with the fewest travelling for 14.
ì
personal business. ì ì ì ì
ì ì ì ì ì ì ì ì ì
11. 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
21
Chapter 2 - Frequency Distributions and Graphs
18. 23.
10 0 0 0 0 0
11 0 0 5 35.0%
12 ! ! 0 0 0 0 30.0%
13 0 0 0 0 0
25.0%
14 ! ! 0 0 & 5 5
15 ! 0 0 20.0%
%
16 ! 0 0 0 0 15.0%
17 0 10.0%
18 0 0
19 0 5.0%
0.0%
Govt. Admin Nursing Home Prescriptions Drs. and Hospital Other
19. Clinics
0
d. Pie graph
e. Pareto chart
f. Time series graph
Japan
22. 22.4%
a. Time series graph
b. Pie graph
c. Pareto chart
Germany
d. Pie graph 6.2%
US
e. Time series graph 53.8% South Korea
f. Pareto chart 5.8%
Taiwan
4.1%
Canada
2.4%
22
Chapter 2 - Frequency Distributions and Graphs
25. The bottle for 2011 is much bigger in REVIEW EXERCISES - CHAPTER 2
area than the bottle for 1988. This causes
the eye to see a much bigger difference than 1.
the actual difference. Class f Percent
Newspaper 10 20
26. Television 16 32
Radio 12 24
65 years and Internet 12 24
over Under 20 50 100
13.1% years
27.0%
2.
Class f Percent
Czech Republic 7 25.0
Sweden 6 21.4
20 years and Canada 5 17.9
over
59.9%
USSR 4 14.3
Russia 3 10.7
Finland 2 7.1
Yes. The percentages add up to more than Slovakia 1 3.6
100%. Since the category "20 years and Total 28 100
over" also includes the category "65 years
and over", subtract 13.1% from 73% to Omit the years when no games were held.
obtain the percentage for "20 years and
over". 3.
Class f
27. 11 1
5000
12 2
13 2
4000
14 2
Number
3000 County 1 15 1
2000 County 2 16 2
1000
17 4
18 2
0
2005 2006 2007 2008 2009 2010 2011 19 2
Year 20 1
21 0
There is no way to tell if the crime rate is 22 1
decreasing by looking at the graph. 20
28. cf
Meal, $38 Parking less than 10.5 0
$34 less than 11.5 1
Transportation
$65 less than 12.5 3
Phone usage Flight less than 13.5 5
$440
$95 less than 14.5 7
Entertainment less than 15.5 8
$139 less than 16.5 10
less than 17.5 14
Hotel stay less than 18.5 16
$323
less than 19.5 18
less than 20.5 19
Note: Other graphs could be drawn to less than 21.5 19
illustrate this data. less than 22.5 20
23
Chapter 2 - Frequency Distributions and Graphs
4. 6. continued
Limits Boundaries f cf
8 7.5 - 8.5 11 Less than 50.5 0
9 8.5 - 9.5 10 Less than 59.5 5
10 9.5 - 10.5 4 Less than 68.5 17
11 10.5 - 11.5 2 Less than 77.5 28
12 11.5 - 12.5 2 Less than 86.5 36
13 12.5 - 13.5 4 Less than 95.5 39
14 13.5 - 14.5 2 Less than 104.5 41
15 14.5 - 15.5 1
36 7.
Limits Boundaries rf
cf 15 - 19 14.5 - 19.5 0.06
less than 7.5 0 20 - 24 19.5 - 24.5 0.36
less than 8.5 11 25 - 29 24.5 - 29.5 0.36
less than 9.5 21 30 - 34 29.5 - 34.5 0.16
less than 10.5 25 35 - 39 34.5 - 39.5 0.06
less than 11.5 27 1.00
less than 12.5 29
less than 13.5 33 crf
less than 14.5 35 Less than 14.5 0.00
less than 15.5 36 Less than 19.5 0.06
Less than 24.5 0.42
5. Less than 29.5 0.78
Limits Boundaries f Less than 34.5 0.94
15 - 19 14.5 - 19.5 3 Less than 39.5 1.00
20 - 24 19.5 - 24.5 18
25 - 29 24.5 - 29.5 18 8.
30 - 34 29.5 - 34.5 8 Limits Boundaries rf
35 - 39 34.5 - 39.5 3 51 - 59 50.5 - 59.5 0.122
50 60 - 68 59.5 - 68.5 0.293
69 - 77 68.5 - 77.5 0.268
cf 78 - 86 77.5 - 86.5 0.195
Less than 14.5 0 87 - 95 86.5 - 95.5 0.073
Less than 19.5 3 96 - 104 95.5 - 104.5 0.049
Less than 24.5 21 1.000
Less than 29.5 39
Less than 34.5 47 crf
Less than 39.5 50 Less than 50.5 0.000
Less than 59.5 0.122
6. Less than 68.5 0.415
Limits Boundaries f Less than 77.5 0.683
51 - 59 50.5 - 59.5 5 Less than 86.5 0.878
60 - 68 59.5 - 68.5 12 Less than 95.5 0.951
69 - 77 68.5 - 77.5 11 Less than 104.5 1.000
78 - 86 77.5 - 86.5 8
87 - 95 86.5 - 95.5 3
96 - 104 95.5 - 104.5 2
41
24
Chapter 2 - Frequency Distributions and Graphs
9. 11.
20 0.4
15 0.3
10 rf 0.2
5 0.1
0 0
14.5-19.5 19.5-24.5 24.5-29.5 29.5-34.5 34.5-39.5 14.5-19.5 19.5-24.5 24.5-29.5 29.5-34.5 34.5-39.5
20 0.4
15
frequency
0.3
10
rf 0.2
5
0.1
0
17 22 27 32 37 0
Percent completing 4 years of college
17 22 27 32 37
Percent completing 4 years of college
60
cumulative
frequency
40
1.5
20
0 1
14.5 19.5 24.5 29.5 34.5 39.5 crf
0.5
Percent completing 4 years of college
0
14.5 19.5 24.5 29.5 34.5 39.5
15
10
f 12.
5
0.4
0
50.5-59.5 59.5-68.5 68.5-77.5 77.5-86.5 86.5-95.5 95.5-104.5 0.3
rf 0.2
Age
0.1
0
50.5-59.5 59.5-68.5 68.5-77.5 77.5-86.5 86.5-95.5 95.5-104.5
15
Age
10
f
5 0.4
0.3
0
rf 0.2
55 64 73 82 91 100
0.1
Age
0
55 64 73 82 91 100
Age
50
40
30
cf
20 1.5
10
1
0 crf
50.5 59.5 68.5 77.5 86.5 95.5 104.5 0.5
Age 0
50.5 59.5 68.5 77.5 86.5 95.5 104.5
Age
25
Chapter 2 - Frequency Distributions and Graphs
13. 16.
100 16
80 14
60 12
Percent
40 10
20 Cos t in
8
0 billions
6
Drink Talk on cell Eat Road Smoke
phone Range 4
2
0
V et Care Supplies Grooming Purchases
Smoke
Road Range
Eat 17.
Talk on cell phone
800
Drink
600
0 20 40 60 80 100 Launches 400
Percent 200
0
60-69 70-79 80-89 90-99 00-09
Decade
14.
250 Launches declined steadily from the 1960s
200 through the 1970s and 1980s. Launches
Calories
150
increased in the 1990s then decreased in the
100
2000s.
50
18.
0
Peanuts Almonds Macadamia Pecans Cashews
12.0%
10.0%
8.0%
Perce nt 6.0%
Cashews
4.0%
Pecans 2.0%
0.0%
Macadamia
2003 2004 2005 2006 2007 2008 2009
Almonds
Year
Peanuts
0 50 100 150 200 250 The dropout rate increased slightly from
Calories 2003 to 2004, then decreased slightly each
year until 2008. There was a slight increase
in 2009.
15.
300
19.
250
Spending of College Freshmen
200
Shoes
150
6%
100
Clothing
50
11%
0
Websites Online images Online games Online videos
DormItems Electronics
27% 56%
26
Chapter 2 - Frequency Distributions and Graphs
20. 25.
The graphs are misleading because no scale
is used on the B and C axes.
Undecided
8%
26.
No The difference between payoffs appears
26%
large, but is only 3%. The scale on the C
Yes axis may be truncated.
66%
CHAPTER 2 QUIZ
21. 1. False
ì ì
ì ì ì ì 2. False
ì ì ì ì ì ì ì
26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3. False
4. True
The graph shows almost all but one of the 5. True
touchdowns per season for Manning's career 6. False
were between 26 and 33. 7. False
8. c
22. 9. c
ì ì 10. b
ì ì ì
ì ì ì
11. b
ì ì ì ì ì ì ì 12. Categorical, ungrouped, grouped
ì ì ì ì ì ì ì ì ì ì ì 13. 5, 20
ì ì ì ì ì ì ì ì ì ì ì ì ì ì
9 10 11 12 13 14 15 16 17 18 19 20 21 22 14. Categorical
15. Time series
The distribution is somewhat positively 16. Stem and leaf plot
skewed, and the majority of the CDs (27) 17. Vertical or y
had between 9 and 15 songs on them.
18.
23. Class f cf
2 9 9 H 6 6
3 2 4 5 6 8 8 A 5 11
4 1 2 3 7 7 M 6 17
5 1 3 5 8 C 8 25
6 2 2 2 3 7 25
7 2 3
19.
24.
10 2 8 8 House
11 3 Condominium 24%
32%
12
13
14 2 4 Apartment
20%
15 Mobile Home
24%
16
17 6 6 6
18 4 9
19 2
20 5 9
21 0
27
Chapter 2 - Frequency Distributions and Graphs
20. 22.
Limits Boundaries f Limits \7 Boundaries f rf
0 - 214 107 -0.5 - 214.5 20 0.39
1 0.5 1.5 1
215 - 429 322 214.5 - 429.5 15 0.29
2 1.5 2.5 5 430 - 644 537 429.5 - 644.5 5 0.10
3 2.5 3.5 3 645 - 859 752 644.5 - 859.5 5 0.10
4 3.5 4.5 4 860 - 1074 967 859.5 - 1074.5 2 0.04
1075 - 1289 1182 1074.5 - 1289.5 2 0.04
5 4.5 5.5 2
1290 - 1504 1397 1289.5 - 1504.5 2 0.04
6 5.5 6.5 6 51 1.00
7 6.5 7.5 2
8 7.5 8.5 3 cf crf
9 8.5 9.5 4 Less than 0 0 0
30 Less than 214.5 20 0.39
Less than 429.5 35 0.68
cf Less than 644.5 40 0.78
less than 0.5 0 Less than 859.5 45 0.88
less than 1.5 1 Less than 1074.5 47 0.92
less than 2.5 6 Less than 1289.5 49 0.96
less than 3.5 9 Less than 1504.5 51 1.00
less than 4.5 13
less than 5.5 15 23.
less than 6.5 21
25
less than 7.5 23 20
less than 8.5 26 15
f
less than 9.5 30 10
5
0
21. 0.5-214.5 214.5- 429.5- 644.5- 859.5- 1074.5- 1289.5-
429.5 644.5 859.5 1074.5 1289.5 1504.5
6 Billions of BTU
Number
2 25
0 20
1 2 3 4 5 6 7 8 9 15
Items Purchased f
10
5
6
0
107 322 537 752 967 1182 1397
Number
4
Billions of BTU
2
0
0 1 2 3 4 5 6 7 8 9 10 60
Items Purchased 50
40
cf 30
20
30
25
10
20 0
Number
28
Chapter 2 - Frequency Distributions and Graphs
24. 27.
1 5 9
400 2 6 8
300
3 1 5 8 8 9
4 1 7 8
Ton s
200 5 3 3 4
100 6 2 3 7 8
7 6 9
0
Paper Iron/Steel Aluminum Yard Glass Plastics 8 6 8 9
waste 9 8
28.
Plastics ì
ì
Glass
Type of Waste
ì ì ì
Yard Waste ì ì ì ì ì ì
ì ì ì ì ì ì ì ì ì ì
Aluminum ì ì ì ì ì ì ì ì ì ì ì ì ì
Iron/steel ì ì ì ì ì ì ì ì ì ì ì ì ì ì ì ì
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
Paper
Ot her
12 %
Phishing
5%
C o mp ut er hackers
Lo st o r st o len
10 %
44%
St o len mail
11%
R et ail p urchases
18 %
26.
4000
Number of deaths
3000
2000
1000
0
2020 2025 2030 2035
Year
29