Probability & Statistics - CCHS
Name: _____________________________________ Date: _____________ Period: ________
1.2 Data Classification
Solve the problem
1)
Classify the colors of automobiles on a used car lot as qualitative data or quantitative data.
A) qualitative data
B) quantitative data
Answer: A
2)
Classify the number of complaint letters received by the United States Postal Service in a
given day as qualitative data or quantitative data.
A) qualitative data
B) quantitative data
Answer: B
3)
Classify the numbers on the shirts of a girl's soccer team as qualitative data or quantitative
data.
A) qualitative data
B) quantitative data
Answer: A
4)
Identify the level of measurement for data that are the numbers on the shirts of a girl's
soccer team.
A) nominal
B) ordinal
C) interval
D) ratio
Answer: A
5)
Identify the level of measurement for data that are the ages of students in a statistic class.
A) nominal
B) ordinal
C) interval
D) ratio
Answer: D
6)
Identify the level of measurement for data that are the temperature of 30 refrigerators.
A) nominal
B) ordinal
C) interval
D) ratio
Answer: C
7)
Identify the level of measurement for data that can be classified by marriage status
(married, single, or divorced.)
A) nominal
B) ordinal
C) interval
D) ratio
Answer: A
8)
Identify the level of measurement for data that are the ratings of a movie ranging from poor
to good to excellent.
A) nominal
B) ordinal
C) interval
D) ratio
Answer: B
9)
Identify the level of measurement for data that are the amount of fat (in grams) in 24
cookies.
A) nominal
B) ordinal
C) interval
D) ratio
Answer: D
10) Identify the level of measurement for data that are the years the summer Olympics were
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held in the United States.
A) nominal
B) ordinal
Answer: C
C) interval
D) ratio
1.3 Experimental Design
Solve the problem
11) What method of data collection would you use to collect data for a study where a drug was
given to 10 patients and a placebo to another group of 10 patients to determine if the drug
has an effect on a patient’s illness?
A) Perform an experiment B) Use a simulation C) Take a census D) Use sampling
Answer: A
12) What method of data collection would you use to collect data for a study of the salaries of
college professors at a particular college?
A) Perform an experiment B) Use a simulation C) Take a census D) Use sampling
Answer: C
13) What method of data collection would you use to collect data for a study where a political
pollster wishes to determine if his candidate is leading in the polls''
A) Perform an experiment B) Use a simulation C) Take a census D) Use sampling
Answer: D
14) What method of data collection would you use to collect data for a study where you would
like to determine the chance getting three girls in a family of three children?
A) Perform an experiment B) Use a simulation C) Take a census D) Use sampling
Answer: B
15) Every fifth teenager entering a concert is checked for possession of drugs. What sampling
technique is used?
A) Stratified
B) Random
C) Cluster
D) Convenience E) Systematic
Answer: E
1.1 An Overview of Statistics
Solve the problem.
16) The average age of the students in your statistics class is 19 years. Does this statement
describe:
A) Descriptive statistics?
Answer: A
B) Inferential statistics?
17) The chances of winning the California Lottery are one chance in twenty-two million. Does
this statement describe:
A) Descriptive statistics?
B) Inferential statistics?
Answer: B
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2.1 Frequency Distributions and their graphs
Solve the problem
18) Identify the class width used in the frequency distribution.
Height (in inches)
50 – 52
53 – 55
56 – 58
59 – 61
62 – 64
A) 2
Answer: B
Frequency
5
8
12
13
11
B) 3
C) 5
D) 51
C) 50
D) 52
C) 49 – 53
D) 50 – 64
19) Identify the midpoint of the first class.
Height (in inches)
50 – 52
53 – 55
56 – 58
59 – 61
62 – 64
A) 51
Answer: A
Frequency
5
8
12
13
11
B) 49.5
20) Identify the class boundaries of the first class.
Height (in inches)
50 – 52
53 – 55
56 – 58
59 – 61
62 – 64
A) 49.5 – 52.5
Answer: A
Frequency
5
8
12
13
11
B) 50 – 52
2.3 Measures of Central Tendency.
Solve the problem.
21) The scores of the top ten finishers in a recent Buick Open are listed below. (Source: Los Angeles
Times)
65 66 67 66 67 70 67 70 71 68
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Find the mean
A) 67.7
Answer: A
B) 65.5
C) 71.1
D) 70.0
22) The scores of the top ten finishers in a recent Buick Open are listed below. (Source: Los Angeles
Times)
65
66
67
66
67
70
67
70
71
68
Find the median score.
A) 68
Answer: C
B) 70
C) 67
D) 66
23) The scores of the top ten finishers in a recent Buick Open are listed below. (Source: Los Angeles
Times)
65
66
67
66
67
70
67
70
71
68
Find the mode score.
A) 66
Answer: C
24)
B) 68
C) 67
D) 65
A student receives test scores of 62, 83, and 91. The student's final exam score is 88 and homework
score is 76. Each test is worth 20% of the final grade, the final exam is 25% of the final grade, and
the homework grade is 15% of the final grade. What is the student's mean score in the class?
A) 76.6
Answer: D
B) 85.6
C) 90.6
D) 80.6
25) Grade points are assigned as follows: A = 4, B = 3, C = 2, D = 1 and F = O. Grades are weighted
according to credit hours. If a student receives an A in a four-unit class, a D in a two-unit class, a B
in a three-unit class and a C in a three-unit class, what is the student's grade point average?
A) 2.75
Answer: A
B) 1.75
C) 2.50
D) 3.00
26) For the following data, approximate the mean miles per day.
Miles (per day)
Frequency
1–2
9
3–4
22
5–6
28
7–8
15
9 - 10
4
A) 2
Answer: B
B) 5
C) 4
D) 10
27) For the following data, approximate the mean weight.
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Weight (in pounds)
135 -139
140 – 144
145 – 149
150 – 154
155 - 159
Frequency
6
4
11
15
8
A) 149
Answer: A
B) 139
C) 159
D) 145
28) The cost of five homes in a certain area is given.
$127.000
$138,000 $156,000
$125,000 $1,232,000
Which measure of central tendency should be used?
A) mean
B) median
C) mode
Answer: B
29)
D) midrange
For the data below, construct a frequency histogram using five classes. Describe the shape of the
histogram. The data set: California Pick Three Lottery
3 6 7 6
0 8 8 4
A) uniform
Answer: A
0
0
6
2
1 7 8 4
4
B) symmetric
1
5
7
5
9
1
5
C) negatively skewed
3
9
9
2
2
D) positively skewed
2.4 Measures of variation.
Solve the problem
30)
For the stem-and-leaf plot below, find the range of the data set.
1
2
2
3
3
4
4
6
7
0
6
0
5
6
7
1
6
1
A) 41
Answer: D
6
7
1
6
7
8
2
7
8
8
3
8
9
9
4
8
9 9
4 5
9
B) 40
C) 26
D) 27
31) Find the range of the data set represented by the graph.
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A) 17
Answer: B
B) 7
C) 20
D) 5
32) The grade point averages for 10 students are listed below. Find the range of the data.
2.0
3.2
1.8
2.9
A) 3.2
Answer: A
0.9
4.0
B) 2.45
3.3 2.9 3.6 0.8
C) 1.4
D) 2.8
33) The heights (in inches) of 10 adult males are listed below. Find the sample standard deviation.
70 72 71 70 69 73 69 68 70 71
A) 3
Answer: B
B) 1.49
C) 70
D) 2.38
34) A placement exam for entrance into a math class yields a mean of 80 and a standard deviation of 10.
The distribution of the scores is roughly bell-shaped. Use the Empirical Rule to find the percentage
of scores that lie between 60 and 80.
A) 47.5%
Answer: A
B) 68%
C) 34%
D) 95%
35) The average IQ of students in a particular calculus class is 110, with a standard deviation of 5. The
distribution is roughly bell-shaped. Use the Empirical Rule to find the percentage of students with
an IQ above 120.
A) 15.85%
Answer: D
B) 13.5%
C) 11.15%
D) 2.5%
36) For the following data set, approximate the sample standard deviation.
Height (in inches)
50 – 52
53 – 55
56 – 58
59 – 61
62 – 64
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8
12
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A) 3.85
Answer: A
B) 1.86
C) 2.57
D) 098
2.5 Measures of Position
Solve the problem.
37) The test scores of 30 students are listed below. Find Q 3 .
31
74
41
75
45
78
48
79
52
79
A) 31
Answer: C
38)
55
80
56
81
56
83
63
85
B) 85
65
85
67
87
67
90
69
92
C) 83
70
99
70
95
D) 78
The cholesterol levels (in milligrams per deciliter) of 30 adults are listed below. Find Ql.
154
198
156
198
165
200
165
200
A) 184.5
Answer: B
170
200
171
205
172
205
180
211
B) 180
184
215
185
220
189
220
C) 200
189
225
190
238
192
255
195
265
D) 171
39) The cholesterol levels (in milligrams per deciliter) of 30 adults are listed below. Find the
interquartile range for the cholesterol level of the 30 adults.
154
198
156
198
165
200
165
200
A) 30
Answer: C
170
200
171
205
172
205
180
211
B) 211
184
215
185
220
C) 31
189
220
189
225
190
238
192
255
195
265
D) 180
40) A teacher gives a 20-point quiz to 10 students. The scores are listed below. What percentile
corresponds to the score of 12?
20
8 10
A) 13
Answer: D
7
15
16
12
B) 25
19
14
9
C) 12
D) 40
41) Explain the difference between a sample and a population.
Answer: A population is the collection of all elements in a population. A sample is a subset
of the elements in the population.
42) Which is used more often, a sample or a population? Why?
Answer: Sample. It is usually impractical to obtain all the population data.
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43) The average salary of all General Motors workers is $38,000. Does this value describe a
population parameter or a sample statistic? Explain your reasoning.
Answer: Population parameter because the 38,000 is based on all the workers at GM.
44) A survey of 1068 students was taken from a university with 10,500 students. Does this
value describe a population parameter or a sample statistic?' Explain your reasoning.
Answer: Sample statistic because the number 1068 is based on a subset of the population.
45) A survey of 1024 American households found that 48% of the households own a computer.
Identify the population and the sample.
Answer: population: collection of American households; sample: collection of 1024
American households surveyed.
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