a.
Construct a frequency distribution and a bar chart.
b.
Construct a relative frequency distribution and a pie chart.
a. and b.
Response
Yes
Without Opinion
Total
5. Forty shoppers were asked if they preferred the weight of a can of soup to be 6 ounces, 8 ounces, or 10
ounces. Below are their responses.
6
6
10
8
8
8
6
6
10
10
8
6
6
6
6
6
8
8
10
8
8
6
8
6
6
8
8
10
10
8
8
6
a.
Construct a frequency distribution and graphically represent the frequency distribution.
b.
Construct a relative frequency distribution and graphically represent the relative frequency
distribution.
a. and b.
Preferences
6 ounces
8 ounces
10 ounces
Total
6. There are 800 students in the School of Business Administration. There are four majors in the School:
Accounting, Finance, Management, and Marketing. The following shows the number of students in
each major.
Major
Number of Students
Accounting
240
Finance
160
Management
320
Marketing
80
Develop a percent frequency distribution and construct a bar chart and a pie chart.
Major
Accounting
Finance
Management
Marketing
7. Below you are given the examination scores of 20 students.
52
99
86
84
63
72
95
88
92
58
79
80
90
75
56
99
a.
Construct a frequency distribution for this data. Let the first class be 50 – 59 and draw a
histogram.
b.
Construct a cumulative frequency distribution.
c.
Construct a relative frequency distribution.
d.
Construct a cumulative relative frequency distribution.
b.
d.
8. Two hundred members of a fitness center were surveyed. One survey item stated, “The facilities are
always clean.” The members’ responses to the item are summarized below. Fill in the missing value for
the frequency distribution.
Opinion
Frequency
Strongly Agree
63
Agree
92
Disagree
Strongly Disagree
15
No Opinion
14
9. Fill in the missing value for the following relative frequency distribution.
Opinion
Relative Frequency
Strongly Agree
0.315
Agree
0.460
Disagree
Strongly Disagree
0.075
No Opinion
0.070
10. Fill in the missing value for the following percent frequency distribution.
Annual Salaries
Percent Frequency
Under $30,000
10
$30,000 − 49,999
35
$50,000 − 69,999
40
$70,000 − 89,999
$90,000 and over
5
11. The following is a summary of the number of hours spent per day watching television for a sample of
100 people. What is wrong with the frequency distribution?
Hours/Day
Frequency
0 − 1
10
1 − 3
45
3 − 5
20
5 − 7
20
7 − 9
5
12. A summary of the results of a job satisfaction survey follows. What is wrong with the relative
frequency distribution?
Rating
Relative Frequency
Poor
.15
Fair
.45
Good
.25
Excellent
.30
13. The frequency distribution below was constructed from data collected from a group of 25 students.
Height in Inches
Frequency
58 − 63
3
64 − 69
5
70 − 75
2
76 − 81
6
82 − 87
4
88 − 93
3
94 − 99
2
a.
Construct a relative frequency distribution.
b.
Construct a cumulative frequency distribution.
c.
Construct a cumulative relative frequency distribution.
b.
14. The frequency distribution below was constructed from data collected on the quarts of soft drinks
consumed per week by 20 students.
Quarts of Soft Drink
Frequency
0 − 3
4
4 − 7
5
8 − 11
6
12 − 15
3
16 − 19
2
a.
Construct a relative frequency distribution.
b.
Construct a cumulative frequency distribution.
c.
Construct a cumulative relative frequency distribution.
a.
b.
c.
0 − 3
4 − 7
16 − 19
15. The grades of 10 students on their first management test are shown below.
94
61
66
92
68
75
84
78
a.
Construct a frequency distribution. Let the first class be 60 − 69.
b.
Construct a cumulative frequency distribution.
c.
Construct a relative frequency distribution.
a.
b.
c.
Frequency
Frequency
Frequency
16. You are given the following data on the ages of employees at a company. Construct a stem-and-leaf
display. Specify the leaf unit for the display.
26
32
45
58
52
44
42
27
41
53
48
32
42
44
36
37
Leaf Unit = 1
2 | 6
7
8
3 | 2
2
6
6
7
4 | 0
1
2
4
4
5
8
17. Construct a stem-and-leaf display for the following data. Specify the leaf unit for the display.
12
52
37
47
40
26
57
49
43
19
36
32
48
22
Leaf Unit = 1
1 | 2
8
9
2 | 2
6
3 | 1
2
6
7
8
4 | 0
3
4
5
7
8
9
5 | 1
2
7
18. You are given the following data on the earnings per share for ten companies. Construct a stem-and-
leaf display. Specify the leaf unit for the display.
2.6
1.4
0.5
2.2
1.1
1.1
0.9
2.0
Leaf Unit = 0.1
0 | 5
7
9
1 | 1
1
3
4
2 | 0
2
6
19. You are given the following data on the annual salaries for eight employees. Construct a stem-and-leaf
display. Specify the leaf unit for the display.
$26,500
$27,850
$25,000
$27,460
$26,890
$25,400
$26,150
$30,000
Leaf Unit = 100
25 | 0
4
26 | 1
5
8
27 | 4
8
28 |
29 |
20. You are given the following data on the price/earnings (P/E) ratios for twelve companies. Construct a
stem-and-leaf display. Specify the leaf unit for the display.
23
25
47
22
37
8
36
28
37
26
Leaf Unit = 1
0 | 8
1 |
2 | 2
3
5
6
8
3 | 6
7
7
9
4 | 7
8
21. You are given the following data on times (in minutes) to complete a race. Construct a stem-and-leaf
display. Specify the leaf unit for the display.
15.2
15.8
11.9
15.2
14.7
14.8
12.0
12.1
Leaf Unit = 0.1
11 | 8
9
12 | 0
1
4
13 |
14 | 7
8
15 | 2
2
8
22. The SAT math scores of a sample of business school students and their genders are shown below.
SAT Math Scores
Gender
Less than 400
400 up to 600
600 and more
Total
Female
24
168
48
240
Male
40
96
24
160
Total
64
264
72
400
a.
How many students scored less than 400?
b.
How many students were female?
c.
Of the male students, how many scored 600 or more?
d.
Compute row percentages and comment on any relationship that may exist between SAT
math scores and gender of the individuals.
e.
Compute column percentages.
64
b.
240
24
d.
Gender
Male
e.
Gender
Female
Male
Total
23. A market research firm has conducted a study to determine consumer preference for a new package
design for a particular product. The consumers, ages were also noted.
Package Design
Age
A
B
C
Total
Under 25
18
18
29
65
25 – 40
18
12
5
35
Total
36
30
34
100
a.
Which package design was most preferred overall?
b.
What percent of those participating in the study preferred package A?
c.
What percent of those under 25 years of age preferred package A?
d.
What percent of those aged 25 − 40 preferred package A?
e.
Is the preference for package A the same for both age groups?
a.
Design A
b.
36%
c.
27.7%
d.
51.4%
24. Partial results of a study follow in a crosstabulation of column percentages.
Method of Payment
Gender
Cash
Credit Card
Check
Female
18%
50%
90%
Male
82%
50%
10%
Total
100%
100%
100%
a.
Interpret the 18% found in the first row and first column of the crosstabulation.
b.
If 50 of those in the study paid by check, how many of the males paid by check?
a.
Of those who pay with cash, 18% are female.
b.
5
25. For the following observations, plot a scatter diagram and indicate what kind of relationship (if any)
exist between x and y.
x
y
2
7
6
19
3
9
5
17
4
11
26. For the following observations, plot a scatter diagram and indicate what kind of relationship (if any)
exists between women’s height (inches) and annual starting salary ($1000).
Height
Salary
64
45
63
40
68
39
65
38
67
42
66
45
65
43
64
35
66
33
27. For the following observations, plot a scatter diagram and indicate what kind of relationship (if any)
exists between the amount of sugar in one serving of cereal (grams) and the amount of fiber in one
1.2
3.2
1.3
3.1
1.5
2.8
1.8
2.4
2.2
1.1
2.8
1.3
3.0
1.0
28. What type of graph is depicted below?
29. What type of relationship is depicted in the following scatter diagram?
30. What type of relationship is depicted in the following scatter diagram?
31. What type of relationship is depicted in the following scatter diagram?
32. It is time for Roger Hall, manager of new car sales at the Maxwell Ford dealership, to submit his order
for new Mustang coupes. These cars will be parked in the lot, available for immediate sale to buyers
who are not special-ordering a car. Roger must decide how many Mustangs of each color he should
order. The new color options are very similar to the past year’s options.
Roger believes the colors chosen by customers who special-order their cars best reflect most
customers’ true color preferences. He has taken a random sample of 40 special orders for Mustang
coupes placed in the past year. The color preferences found in the sample are listed below.
Blue
Black
Green
White
Black
Red
Red
White
Black
Red
White
Blue
Blue
Green
Red
Black
Red
White
Blue
White
Red
Red
Black
Black
Green
Black
Red
Black
Blue
Black
White
Green
Blue
Red
Black
White
Black
Red
Black
Blue
a. Prepare a frequency distribution, relative frequency distribution, and percent frequency distribution
for the data set.
b. Construct a bar chart showing the frequency distribution of the car colors.
c. Construct a pie chart showing the percent frequency distribution of the car colors.
33. Missy Walters owns a mail-order business specializing in clothing, linens, and furniture for children.
She is considering offering her customers a discount on shipping charges for furniture based on the
dollar-amount of the furniture order. Before Missy decides the discount policy, she needs a better
understanding of the dollar-amount distribution of the furniture orders she receives.
Missy had an assistant randomly select 50 recent orders that included furniture. The assistant
recorded the value, to the nearest dollar, of the furniture portion of each order. The data collected is
listed below.
136
281
226
123
178
445
231
389
196
175
211
162
212
241
182
290
434
167
246
338
194
242
368
258
323
196
183
209
198
212
277
348
173
409
264
237
490
222
472
248
231
154
166
214
311
141
159
362
189
260
a. Prepare a frequency distribution, relative frequency distribution, and percent frequency distribution
for the data set using a class width of $50.
b. Construct a histogram showing the percent frequency distribution of the furniture-order values in the
sample.
c. Develop a cumulative frequency distribution and a cumulative percent frequency distribution for
this data.
34. Develop a stretched stem-and-leaf display for the data set below, using a leaf unit of 10.
136
281
226
123
178
445
231
389
196
175
211
162
212
241
182
290
434
167
246
338
194
242
368
258
323
196
183
209
198
212
277
348
173
409
264
237
490
222
472
248
231
154
166
214
311
141
159
362
189
260