ECON 2320 Assignment/Practice Questions -- Chapter Two
Multiple Choice Questions.
1).
(i) Simple bar charts may be constructed either horizontally or vertically.
(ii). A frequency polygon is a very useful graphic technique when comparing two or more
distributions
(iii) A cumulative frequency distribution is used when we want to determine how many
observations lie above or below certain values.
A)
B)
C)
D)
E)
2)
a.
b.
c.
d.
(i), (ii) and (iii) are all correct statements.
(i) and, (ii) are correct statements but not (iii).
(i) and, (iii) are correct statements but not (ii).
(ii) and, (iii) are correct statements but not (i).
All statements are false.
Qualitative data can be graphically represented by using a(n)
histogram
frequency polygon
ogive
bar graph
3). The percent frequency of a class is computed by
a. multiplying the relative frequency by 10
b. dividing the relative frequency by 100
c. multiplying the relative frequency by 100
d. adding 100 to the relative frequency
4) A histogram is said to be skewed to the left if it has a
a. longer tail to the right
b. shorter tail to the right
c. shorter tail to the left
d. longer tail to the left
5) A cumulative relative frequency distribution shows
a. the proportion of data items with values less than or equal to the upper limit of each class
b. the proportion of data items with values less than or equal to the lower limit of each class
c. the percentage of data items with values less than or equal to the upper limit of each class
d. the percentage of data items with values less than or equal to the lower limit of each class
6)
A frequency distribution is
a. a tabular summary of a set of data showing the relative frequency
b. a graphical form of representing data
c. a tabular summary of a set of data showing the frequency of items in each of several nonover lapping classes
d. a graphical device for presenting qualitative data
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Exhibit 2-1
The numbers of hours worked (per week) by 400 statistics students are shown below.
Number of hours
Frequency
0- 9
20
10 - 19
80
20 - 29
200
30 - 39
100
7) Refer to Exhibit 2-1. The cumulative relative frequency for the class of 20 - 29
a. is 300
b. is 0.25
c. is 0.75
d. is 0.5
8) Refer to Exhibit 2-1. The percentage of students working 19 hours or less is
a. 20%
b. 25%
c. 75%
d. 80%
9).
There are two types of variables – quantitative and qualitative.
A Qualitative variable is nonnumeric and we are usually interested in the
number or percent of the observations from each category.
(iii) Qualitative variables can be further divided into discrete and continuous
variables. (L)
(i)
(ii)
A)
B)
C)
D)
E)
(i), (ii) and (iii) are all correct statements.
(i) and, (ii) are correct statements but not (iii).
(i) and, (iii) are correct statements but not (ii).
(ii) and, (iii) are correct statements but not (i).
All statements are false.
10). The main purpose of descriptive statistics is to:
(Lind)
A)
Summarize data in a useful and informative manner.
B)
Make inferences about a population.
C)
Determine if the data adequately represents the population.
D)
Gather or collect data.
11) .Colleen Waite, Director of General Canadian Sales, is concerned by a downward sales
trend. Specifically, their customer base is stable at 2,200, but they are purchasing less each
year. She orders her staff to search for causes of the downward trend by selecting a focus group
of 50 customers. (Lind)
A) The focus group of 50 customers represents a sample.
B) The focus group of 50 customers represents a population.
C) The focus group of 50 customers represents an inferential statistic.
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D) The focus group of 50 customers represents a census.
12). What type of data is the number of robberies reported in your city? (Lind)
A)
B)
C)
D)
E)
Attribute
Continuous
Discrete
Qualitative
None of the choices are correct
13). A bank asks customers to evaluate the drive-thru service as to good, average, or poor. Which
level of measurement is this classification? (Lind)
A)
Nominal
B)
Ordinal
C)
Interval
D)
Ratio
E)
None of the choices are correct
14) If Gallup, Harris and other pollsters asked people to indicate their political party affiliation Liberal, Conservative or NDP, the data gathered would be an example of which scale of
measurement? (Lind)
A)
Nominal
B)
Ordinal
C)
Interval
D)
Ratio
E)
None of the choices are correct
15).
(i)
(ii)
(iii)
If we select 100 persons out of 25,000 registered voters and question them about
candidates and issues, the 100 persons are referred to as the population.
The order that runners finish in a race would be an example of continuous data.
Another name for inductive statistics is descriptive statistics. (Lind)
A)
B)
C)
D)
E)
(i), (ii) and (iii) are all correct statements.
(i) and, (ii) are correct statements but not (iii).
(i) and, (iii) are correct statements but not (ii).
(ii) and, (iii) are correct statements but not (i).
All statements are false.
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(i)
A frequency distribution is grouping of data into classes showing the number of
observations in each class.
(ii) The midpoint of a class, which is also called a class mark, is halfway between the lower
and upper limits.
(iii) A class interval, which is the width of a class, can be determined by subtracting the lower
limit of a class from the lower limit of the next higher class.
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A)
B)
C)
D)
E)
(i), (ii) and (iii) are all correct statements.
(i) and, (ii) are correct statements but not (iii).
(i) and, (iii) are correct statements but not (ii).
(ii) and, (iii) are correct statements but not (i).
All statements are false.
17.
(i)
A frequency distribution is grouping of data into classes showing the number of
observations in each class.
(ii) In constructing a frequency distribution, you should try to have open-ended classes such as
“Under $100” and “$1,000 and over”.
(iii) A cumulative frequency distribution is used when we want to determine how many
observations lie above or below certain values.
A)
B)
C)
D)
E)
(i), (ii) and (iii) are all correct statements.
(i) and, (ii) are correct statements but not (iii).
(i) and, (iii) are correct statements but not (ii).
(ii) and, (iii) are correct statements but not (i).
All statements are false.
18.
(i) Simple bar charts may be constructed either horizontally or vertically.
(ii). A frequency polygon is a very useful graphic technique when comparing two or more
distributions
(iii) A cumulative frequency distribution is used when we want to determine how many
observations lie above or below certain values.
A)
B)
C)
D)
E)
(i), (ii) and (iii) are all correct statements.
(i) and, (ii) are correct statements but not (iii).
(i) and, (iii) are correct statements but not (ii).
(ii) and, (iii) are correct statements but not (i).
All statements are false.
Exhibit 2-2 A survey of 800 college seniors resulted in the following crosstabulation
regarding their undergraduate major and whether or not they plan to go to graduate school.
Graduate School
Yes
No
Total
Undergraduate Major
Business
Engineering
70
84
182
208
252
292
Others
126
130
256
Total
280
520
800
19. Refer to Exhibit 2-2. What percentage of the students does not plan to go to graduate school?
a) 280
b) 520
c) 65
d) 32
20. Refer to Exhibit 2-2. What percentage of the students' undergraduate major is engineering?
a. 292
b. 520
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c. 65
d. 36.5
21. Refer to Exhibit 2-2. Of those students who are majoring in business, what percentage plans to
go to graduate school?
a. 27.78
b. 8.75
c. 70
d. 72.22
22.The monthly salaries of a sample of 100 employees were rounded to the nearest ten dollars. They
ranged from a low of $1,040 to a high of $1,720. If we want to condense the data into seven
classes, what is the most convenient class interval?
A)
$ 50
B)
$100
C)
$150
D)
$200
E)
None of the choices are correct
23.Which of the following would be most helpful if you wished to construct a pie chart?
A)
a frequency distribution
B)
a relative frequency distribution
C)
a cumulative frequency distribution
D)
an ogive
E)
a clustered bar chart
24.
a.
b.
c.
d.
25.
a.
b.
c.
d.
The relative frequency of a class is computed by
dividing the cumulative frequency of the class by n
dividing n by cumulative frequency of the class
dividing the frequency of the class by n
dividing the frequency of the class by the number of classes
When a histogram has a longer tail to the right, it is said to be
symmetrical
skewed to the left
skewed to the right
none of these alternatives is correct
26) The sum of frequencies for all classes will always equal
a. 1
b. the number of elements in a data set
c. the number of classes
d. a value between 0 and 1
27. Data that provide labels or names for categories of like items are known as
a. qualitative data
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b. quantitative data
c. label data
d. category data
Exhibit 2-3
Michael's Rent-A-Car, a national car rental company, has kept a record of the number of cars
they have rented for a period of 80 days. Their rental records are shown below:
Number of Cars Rented
0 - 19
20 - 39
40 - 59
60 - 79
80 - 99
Number of Days
5
15
30
20
_10_
Total
80
28. Refer to Exhibit 2-3. If one develops a cumulative frequency distribution for the above data, the
last class will have a frequency of
a. 10
b. 100
c. 0 to 100
d. 80
29. Refer to Exhibit 2-3. The percentage of days in which the company rented at least 40 cars is
a. 37.5%
b. 62.5%
c. 90.0%
d. 75.0%
30. Refer to Exhibit 2-3. The number of days in which the company rented less than 60 cars is
a. 20
b. 30
c. 50
d. 60
Answer Key – Multiple Choice Questions Chapter 2
1 A
2D
3C
4D
5A
6C
7C
8B
9B
10 A
11 A
12 C
13 B
14 A
15 E
16 A
17 C
18 A
19 C
20 D
21 A
22 B
23 B
24 C
25 C
26 B
27 A
28 D
29 D
30 C
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Non Multiple Choice Questions
Questions 1 to 3 have no answer key. You should discuss these questions with your course
mate(s) to figure out the answers.
1). DiCarlo’s Café has been serving an Italian soda drink with a vanilla flavouring that is very
popular with its customers. Joe DiCarlo is interested in customer preferences for some new
flavours. Hevasks 100 of his regular customers to take a taste test and pick the one they like
the best.
a) Is the data quantitative or qualitative? Why?
b) Develop a bar chart to depict the information.
c) Develop a pie chart using the relative frequencies.
d) Develop a line chart to depict the information.
e) Which chart best portrays the information? Why?
Flavour
Vanilla
Cherry
Lemon
Orange
Total
Number
40
25
20
15
100
2). The annual imports of a selected group of electronics suppliers are shown.
a) Portray the imports as a histogram.
b) Portray the imports as a relative frequency polygon.
c) Summarize the important facets of the distribution (such as low and high, concentration,
etc.)
Imports ($ Millions)
2 to under 5
5 to under 8
8 to under 11
11 to under 14
14 to under 17
Number of Suppliers
6
13
20
10
1
3). A sample of the hourly wages of 15 employees at Food City Supermarkets was organized
into the table shown below.
a) What is the table called?
b) Develop a less-than and more-than cumulative frequency distribution and portray the
distribution in cumulative frequency polygons.
c) Based on the cumulative frequency polygon, how many employees earn $9 per hour or
less? Half of the employees earn an hourly wage of how much or more? Four employees
earn how much or less?
d)
Hourly Wages ($)
Number of Employees
7
$6 to under $8
$8 to under $10
$10 to under $12
$12 to under $14
3
7
4
1
4).The following data set shows the number of hours of sick leave that some of the employees of Bastien's, Inc.
have taken during the first quarter of the year (rounded to the nearest hour).
19
23
36
12
59
a.
b.
c.
d.
e.
f
22
47
25
20
39
27
11
34
28
48
24
55
16
29
32
28
25
45
21
40
12
42
49
10
31
How many classes would you recommend?
What class interval would you suggest?
Develop a frequency distribution for the above data.
Develop a relative frequency distribution and a percent frequency distribution for the data.
Develop a cumulative frequency distribution.
How many employees have taken less than 40 hours of sick leave?
(There is no #5 Question)
6).
Below you are given the statistics examination scores of 20 students.
52
63
92
90
99
72
58
75
a.
b.
c.
d.
92
76
65
74
86
95
79
56
84
88
80
99
Construct a frequency distribution for this data. Let the first class be 50 - 59 and draw a
histogram.
Construct a cumulative frequency distribution.
Construct a relative frequency distribution.
Construct a cumulative relative frequency distribution.
7). 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
Accounting
Finance
Management
Marketing
Number of Students
240
160
320
80
Develop a percent frequency distribution.
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8). For the following observations, plot a scatter diagram and indicate what kind of relationship (if any)
exist between x and y.
x
2
6
3
5
4
y
7
19
9
17
11
9). A survey of 400 college seniors resulted in the following crosstabulation regarding their undergraduate
major and whether or not they plan to go to graduate school.
Undergraduate Major
Graduate School
a.
b.
c.
d.
Business
Engineering
Others
Total
Yes
35
42
63
140
No
91
104
65
260
Total
126
146
128
400
Are a majority of the seniors in the survey planning to attend graduate school?
Which discipline constitutes the majority of the individuals in the survey?
Compute row percentages and comment on the relationship between the students'
undergraduate major and their intention of attending graduate school.
Compute the column percentages and comment on the relationship between the students'
intention of going to graduate school and their undergraduate major.
Answer Keys for Chapter 2
Answers to question 4
a)
5
b)
10
a.
Hours of
Sick Leave Taken
10 - 19
20 - 29
30 - 39
40 - 49
50 - 59
Freq.
6
11
5
6
2
b.
Relative
Freq.
0.20
0.37
0.16
0.20
0.07
b.
Percent
Freq.
20
37
16
20
7
c.
Cum.
Freq.
6
17
22
28
30
d) 22
9
Answers to question 6
a.
Score
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
Total
Frequency
3
2
5
4
6
20
Answers to question 7
Major
Accounting
Finance
Management
Marketing
b.
c.
Cumulative
Frequency
3
5
10
14
20
Relative
Frequency
0.15
0.10
0.25
0.20
0.30
1.00
d.
Cumulative
Relative
Frequency
0.15
0.25
0.50
0.70
1.00
Percent Frequency
30%
20%
40%
10%
Answers to question 8
A positive relationship between x and y appears to exist.
Answers to question 9
a.
No, majority (260) will not attend graduate school
b.
Majority (146) are engineering majors
c.
Undergraduate Major
Graduate School
Business
Engineering
Others
Total
Yes
25%
30%
45%
100%
10
No
35%
40%
25%
100%
Majority who plan to go to graduate school are from "Other" majors. Majority of those who
will not go to graduate school are engineering majors.
d.
Undergraduate Major
Graduate School
Business
Engineering
Others
Yes
27.8%
28.8%
49.2%
No
72.2%
71.2%
50.8%
Total
100%
100%
100%
Approximately the same percentages of Business and engineering majors plan to attend
graduate school (27.8% and 28.8% respectively). Of the "Other" majors approximately half
(49.2%) plan to go to graduate school.
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