1. science
2. mathematics
3. statistics

Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Use common sense to determine whether the given event is impossible; possible, but very unlikely; or possible and
likely.
1) Andrew rolled a die five times and got a six every time.
1)
A) Possible, but very unlikely
B) Impossible
C) Possible and likely
2) At least two people have the same birthday in a school of 150 students.
A) Possible, but very unlikely
B) Possible and likely
C) Impossible
2)
Determine whether the given value is from a discrete or continuous data set.
3) The number of freshmen entering college in a certain year is 621.
A) Continuous
B) Discrete
4) The temperature of a cup of coffee is 67.3°F.
A) Continuous
3)
4)
B) Discrete
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.
5) The temperatures of eight different plastic spheres.
A) Ratio
B) Ordinal
C) Nominal
D) Interval
6) The sample of spheres categorized from softest to hardest.
A) Interval
B) Ratio
C) Ordinal
5)
6)
D) Nominal
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Identify the sample and population. Also, determine whether the sample is likely to be representative of the population.
7) An employee at the local ice cream parlor asks three customers if they like chocolate ice
7)
cream.
Use critical thinking to develop an alternative conclusion.
8) A study shows that adults who work at their desk all day weigh more than those who do
not. Conclusion: Desk jobs cause people to gain weight.
Use critical thinking to address the key issue.
9) A questionnaire is sent to 10,000 persons. 5,000 responded to the questionnaire. 3,000 of
the respondents say that they ʺlove chocolate ice creamʺ. We conclude that 60% of people
love chocolate ice cream. What is wrong with this survey?
1
8)
9)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a
percent, if necessary.
7
10) Convert the fraction to an equivalent decimal and percentage.
10)
11
A) 0.756, 75.6%
B) 0.636, 63.6%
C) 0.756, 756%
11) Convert 0.625 to an equivalent fraction and percentage.
5
1
1
B) , 6.25%
C) , 62.5%
A) , 6.25%
8
2
2
D) 0.636, 6.36%
11)
5
D) , 62.5%
8
Solve the problem.
12) Alex and Juana went on a 100-mile canoe trip with their class. On the first day they traveled 26
miles. What percent of the total distance did they canoe?
A) 0.26%
B) 4%
C) 26%
D) 400%
12)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
13) An advertisement for a heating pad says that it can reduce back pain by 200%. What is
wrong with this statement?
13)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine whether the given description corresponds to an observational study or an experiment.
14) A marketing firm does a survey to find out how many people use a product. Of the one hundred
people contacted, fifteen said they use the product.
A) Experiment
B) Observational study
15) A clinic gives a drug to a group of ten patients and a placebo to another group of ten patients to
find out if the drug has an effect on the patientsʹ illness.
A) Experiment
B) Observational study
Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience.
16) 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348,
and 481 students respectively.
A) Random
B) Convenience
C) Systematic
D) Cluster
E) Stratified
17) An education researcher randomly selects 48 middle schools and interviews all the teachers at each
school.
A) Convenience
B) Systematic
C) Stratified
D) Random
E) Cluster
2
14)
15)
16)
17)
Identify the type of observational study (cross-sectional, retrospective, prospective).
18) A statistical analyst obtains data about ankle injuries by examining a hospitalʹs records from the
past 3 years.
A) Prospective
B) Cross-sectional
C) Retrospective
D) None of these
18)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
19) A teacher at a school obtains a sample of students by selecting a random sample of 20
students from each grade. What kind of sampling is being used here? Will the resulting
sample be a simple random sample of the population of students at the school? Explain
your thinking.
19)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
20) The following frequency distribution analyzes the scores on a math test. Find the class boundaries
of scores interval 40-59.
Scores
40-59
60-75
76-82
83-94
95-99
A) 39.5, 58.5
Number of students
2
4
6
15
5
B) 40.5, 59.5
C) 40.5, 58.5
D) 39.5, 59.5
21) The following frequency distribution analyzes the scores on a math test. Find the class midpoint of
scores interval 40-59.
Scores
40-59
60-75
76-82
83-94
95-99
A) 49.0
21)
Number of students
2
4
6
15
5
B) 48.5
C) 49.5
D) 50.5
22) The frequency distribution below summarizes employee years of service for Alpha Corporation.
Determine the width of each class.
Years of service Frequency
1-5
5
6-10
20
11-15
25
16-20
10
21-25
5
26-30
3
A) 10
20)
B) 5
C) 6
3
D) 4
22)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
23) Using a strict interpretation of the relevant criteria characterizing a normal
distribution,does the frequency distribution below appear to have a normal distribution?
Does the distribution appear to be normal if the criteria are interpreted very loosely?
23)
Closing Share
Price
Frequency
0-5
2
6-10
5
11-15
15
16-20
27
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Construct the cumulative frequency distribution that corresponds to the given frequency distribution.
24)
Number
Speed of cars
0-29
4
30-59
16
60-89
60
90-119
20
A)
B)
Speed
Less than 30
Less than 60
Less than 90
Less than120
Cumulative
Frequency
4
20
80
100
C)
Speed
Less than 30
Less than 60
Less than 90
Less than120
Cumulative
Frequency
100
80
82
4
Speed
Less than 30
Less than 60
Less than 90
Less than120
Cumulative
Frequency
0.04
0.20
0.80
1.00
D)
Speed
0-29
30-59
60-89
90-119
Cumulative
Frequency
4
20
80
100
4
24)
Provide an appropriate response.
25) The frequency distribution for the weekly incomes of students with part-time jobs is given below.
Construct the corresponding relative frequency distribution. Round relative frequencies to the
nearest hundredth of a percent if necessary.
Income ($) Frequency
200-300
60
301-400
73
401-500
91
501-600
89
More than 600
15
A)
Relative
Income ($) Frequency
200-300
27.33%
301-400
27.38%
401-500
4.60%
501-600
18.07%
More than 600
27.41%
C)
Relative
Income ($) Frequency
201-300
15.5%
301-400
22.1%
401-500
31.3%
501-600
16.2%
More than600
14.9%
B)
Relative
Income ($) Frequency
200-300
12.5%
301-400
20.1%
401-500
37.3%
501-600
15.2%
More than 600
14.9%
D)
Income ($)
200-300
301-400
401-500
501-600
More than 600
Relative
Frequency
18.29%
22.26%
27.74%
27.13%
4.57%
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Use the given data to construct a frequency distribution.
26) A medical research team studied the ages of patients who had strokes caused by stress.
The ages of 34 patients who suffered stress strokes were as follows.
29 30 36 41 45 50 57 61 28 50 36 58
60 38 36 47 40 32 58 46 61 40 55 32
61 56 45 46 62 36 38 40 50 27
Construct a frequency distribution for these ages. Use 8 classes beginning with a lower
class limit of 25.
Age Frequency
5
26)
25)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Provide an appropriate response.
27) A nurse measured the blood pressure of each person who visited her clinic. Following is a
relative-frequency histogram for the systolic blood pressure readings for those people aged
between 25 and 40. The blood pressure readings were given to the nearest whole number.
Approximately what percentage of the people aged 25-40 had a systolic blood pressure reading
between 110 and 119 inclusive?
A) 3.5%
B) 35%
C) 30%
D) 0.35%
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
28) In a survey, 20 people were asked how many magazines they had purchased during the
previous year. The results are shown below. Construct a histogram to represent the data.
Use 4 classes with a class width of 10, and begin with a lower class limit of -0.5. What is
the approximate amount at the center?
6 15 3 36 25 18 12 18 5 30
24 7 0 22 33 24 19 4 12 9
6
28)
27)
Solve the problem.
29) The frequency table below shows the amount of weight loss during the first month of a
diet program for both males and females. Compare the results by constructing two
frequency polygons on the same axes, and determine whether there appears to be a
significant difference between the two genders.
Weight (lb) Frequency (males)
5-7
2
8-10
9
11-13
18
14-16
13
17-19
4
20-22
1
29)
Weight (lb) Frequency (females)
5-7
4
8-10
3
11-13
19
14-16
5
17-19
15
20-22
1
20
18
16
14
12
10
8
6
4
2
5
10
15
20
25
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Construct the dotplot for the given data.
30) Attendance records at a school show the number of days each student was absent during the year.
The days absent for each student were as follows.
0 2 3 4 2 3 4 6 7 2 3 4 6 9 8
A)
B)
C)
D)
7
30)
Use the data to create a stemplot.
31) The following data show the number of laps run by each participant in a marathon.
46 65 55 43 51 48 57 30 43 49 32 56
A)
B)
3 0 2
3 0 2
4 3 6 8 9
4 3 3 6 8 9
4 1 3 5 6 7
5 1 5 6 7
6 5
6 5
Find the original data from the stemplot.
32)
Stem Leaves
9
5 9
10
1 9
11
5 5
A) 95, 91, 99, 101, 111, 115
C) 95, 99, 101, 109, 115, 115
31)
32)
B) 95, 99, 101, 101, 115, 115
D) 91, 95, 91, 109, 119, 115
Minutes on Number of Relative Cumulative
homework students
frequency frequency
0-15
2
0.05
2
16-30
4
0.10
6
31-45
8
0.20
14
46-60
18
0.45
32
61-75
4
0.10
36
76-90
4
0.10
40
Cumulative Frequency
Provide an appropriate response.
33) The table contains data from a study of daily study time for 40 students from Statistics 101.
Construct an ogive from the data.
50
45
40
35
30
25
20
15
10
5
0
15.5 30.5 45.5 60.5 75.5 90.5
Homework Time (minutes)
B)
Frequency
A)
100
90
80
70
60
50
40
30
20
10
0
15.5 30.5 45.5 60.5 75.5 90.5
Homework Time (minutes)
8
33)
C)
100
90
80
70
60
50
40
30
20
10
0
Relative Frequency
Relative Frequency
D)
15.5 30.5 45.5 60.5 75.5 90.5
Homework Time (minutes)
100
90
80
70
60
50
40
30
20
10
0
15.5 30.5 45.5 60.5 75.5 90.5
Homework Time (minutes)
Solve the problem.
34) 200 casino patrons, were interviewed as they left the casino. 60 of them said they spent most of the
time playing the slots. 60 of them said they played blackjack. 30 said they played craps. 10 said
roulette. 10 said poker. The rest were not sure what they played the most. Construct a Pareto chart
to depict the gaming practices of the group of casino goers. Choose the vertical scale so that the
relative frequencies are represented.
A)
B)
9
34)
C)
D)
Construct a pie chart representing the given data set.
35) The following data give the distribution of the types of houses in a town containing 44,000 houses.
Capes
Garrisons
Splits
11,000
15,400
17,600
A)
B)
Use the given paired data to construct a scatterplot.
10
35)
36) x -5 -4 -1 -8 -6 1 -6 7 -4 -1
y 3 -6 -8 5 4 -1 -1 5 -5 -2
36)
y
10
-10
10
x
-10
A)
B)
y
y
10
10
-10
10
x
-10
-10
10
x
10
x
-10
C)
D)
y
y
10
-10
10
10
x
-10
-10
-10
11
Answer Key
Testname: SAMPLE CHAPTER 1
1)
2)
3)
4)
5)
6)
7)
8)
A
B
B
A
D
C
Sample: the 3 selected customers; population: all customers; not representative
Desk job workers are confined to their chairs for most of their work day. Other jobs require standing or walking
around which burns calories. It is probably the lack of exercise that causes higher weights, not the desk job itself.
Avoid causality altogether by saying lack of walking and exercise is associated with higher weights.
9) This is a voluntary response sample. The survey is based on voluntary, self -selected responses and therefore has
serious potential for bias.
10) B
11) D
12) C
13) If a personʹs back pain was reduced by 100%, it would be completely eliminated, so it is not possible for a personʹs
back pain to be reduced by more than 100%.
14) B
15) A
16) E
17) E
18) C
19) This is stratified sampling. The sample obtained will not be a simple random sample because different samples of
students have different chances of being selected.
20) D
21) C
22) B
23) No; no; The frequencies do not increase, reach a maximum, and then decrease.
24) A
25) D
26)
Age Frequency
25-29
3
30-34
3
35-39
6
40-44
4
45-49
5
50-54
3
55-59
5
60-64
5
27) B
12
Answer Key
Testname: SAMPLE CHAPTER 1
28) The approximate amount at the center is 16 magazines.
29) There does not appear to be a significant difference.
20
freq
18
16
14
12
10
8
6
4
2
5
10
15
20
25 weight
30) B
31) B
32) C
33) A
34) C
35) A
36) C
13