Download MGF 1106 Practice Test - Chapters 13 This is not a comprehensive

MGF 1106
Practice Test - Chapters 13
This is not a comprehensive list of every objective and type of question! Use it as a
guide only. While some of the questions on your exam will be multiple choice, most
will not be so you should work out each problem, showing the details, on your own
paper. Ideally you will have completed this practice test before review day.
Use the given data to construct a frequency and relative frequency distribution.
1) Kevin asked some of his friends how many hours they had worked during the previous week at their
after-school jobs. The results are shown below.
5
5
5 5 3
7 5 5
5 5
7 5
9
5
7 5 3 7 5
7 5 7 7 3
Construct a frequency and relative frequency distribution. Use 4 classes.
A)
B)
Hours Frequency Relative Frequency
x
f
f/n
3-4
3
3/24 ‘ 13%
5-6
13
13/24 ‘ 54%
7- 8
7
7/24 ‘ 29%
9-10
1
1/24 ‘ 4%
Hours Frequency Relative Frequency
x
f
f/n
3-4
3
3/24 ‘ 13%
5-6
14
14/24 ‘ 58%
7- 8
6
6/24 = 25%
9-10
1
1/24 ‘ 4%
C)
D)
Hours Frequency Relative Frequency
x
f
f/n
3-5
3
3/24 ‘ 13%
5-7
13
13/24 ‘ 54%
7- 9
7
7/24 ‘ 29%
9-11
1
1/24 ‘ 4%
Hours Frequency Relative Frequency
x
f
f/n
3-4
3
3/100 = 3%
5-6
13
13/100 = 13%
7- 8
7
7/100 = 7%
9-10
1
1/100 = 1%
Objective: (13.1) Construct Frequency and Relative Frequency Distribution
In a school survey, students showed these preferences for instructional materials. Answer the question.
2) About how many students would you expect to prefer lectures in a school of 550 students?
A) About 198 students
B) About 99 students
Objective: (13.1) Read and Interpret Circle Graph
1
C) About 18 students
D) About 110 students
Use the graph to answer the question.
3)
Mike decides to buy shares of companies A, B, and C, which were initially selling for the same price. The
changes in each stock's value are shown in the graph above. Knowing what he knows now, after how many
days should he have sold in his stock in company A?
A) 80
B) 60
C) 30
D) 50
Objective: (13.1) Read and Interpret Comparison Line Graph
4)
Mike decides to buy shares of companies X and Y, which were initially selling for the same price. The changes
in each stock's value over 90 days are shown in the graph above. When did the two stocks have the same value,
other than when he bought them?
A) day 30
B) day 50
C) day 85
Objective: (13.1) Read and Interpret Comparison Line Graph
2
D) day 90
This double-bar graph shows the number of male (M) and female (F) athletes at a university over a four-year period.
Answer the question.
YEAR
5) Which year had the smallest number of male athletes?
A) 1987
B) 1989
C) 1986
D) 1988
Objective: (13.1) Read and Interpret Double Bar Graph
6) What percentage of all students involved in athletics in 1986 was female? (Round to the nearest percent.)
A) 57%
B) 14%
C) 75%
D) 43%
Objective: (13.1) Read and Interpret Double Bar Graph
Construct a frequency polygon.
7)
Life of bulb Number
(in hours)
of bulbs
400-499
45
500-599
80
600-699
120
700-799
70
800-899
35
A) Frequency
B) Frequency
Hours of bulb life
Hours of bulb life
Objective: (13.1) Construct Frequency Polygon
3
Find the indicated probability.
8) In a survey, 50 students were asked to name their favorite color. The table below shows the results.
Color Number of students
Red
11
Blue
9
Green
6
Yellow
4
Purple
9
Brown
3
Orange
3
Pink
5
If a student is selected at random, what is the probability that their favorite color is purple?
9
9
9
A) 9
B)
C)
D)
100
50
10
Objective: (13.1) Use Empirical Probability Distribution
Find the mean of the set of data.
9) 18, 4, 1, 20, 5, 19, 8, 5
A) 11.43
B) 23
C) 9
D) 10
C) 7.868
D) 3.356
C) 41
D) 28
C) 30
D) 23
C) 29
D) 33
Objective: (13.2) Find Mean of Data Set
10) 9.644, 3.569, 14.134, 4.857, 7.137
Round your answer to three decimal places.
A) 9.835
B) 8.000
Objective: (13.2) Find Mean of Data Set
Find the median.
11) 4, 3, 28, 19, 48, 45, 41
A) 19
B) 27
Objective: (13.2) Find Median of Data Set
12) 7, 4, 28, 14, 46, 32, 30
A) 28
B) 14
Objective: (13.2) Find Median of Data Set
13)
27
30
37
26
17
29
27
33
33
29
A) 30
27
32
33
27
29
30
29
31
22
29
B) 28.85
Objective: (13.2) Find Median of Data Set
4
Find the mode or modes.
14) 5, 9, 65, 3, 2, 8, 97, 1, 4, 16
A) 8
B) No mode
C) 20.4
D) 9
C) 7.13
D) 7.41
C) 22.3
D) 6.6
Objective: (13.2) Find Mode of Data Set
15) 7.13, 7.41, 7.56, 7.13, 7.88, 7.99, 7.62
A) 7.531
B) 7.56
Objective: (13.2) Find Mode of Data Set
Find the mean for the given frequency distribution.
16)
Value Frequency
15
1
18
6
22
6
27
7
36
2
40
2
A) 24.8
B) 27.1
Objective: (13.2) Find Mean Given Frequency Distribution
Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place than
that used for the observations.
17) The batting percentages of some of the players on the company softball team are .243, .287, .242, .298, .217, .336,
and .298. What is the mean batting percentage of these players? Round to the nearest thousandth.
A) .320
B) .288
C) .274
D) .250
Objective: (13.2) Solve Apps: Find Mean
18) The Wellspring Company's fleet of trucks get 17, 11, 20, 14, 16, 14, and 22 miles per gallon. What is the mean
miles per gallon for the fleet? Round to the nearest whole number.
A) 15 miles per gallon
B) 16 miles per gallon
C) 19 miles per gallon
D) 17 miles per gallon
C) $5462.00
D) $5284.40
Objective: (13.2) Solve Apps: Find Mean
Find the median for the given sample data.
19) A new business had the following monthly net gains:
$8969 $3165 $2145 $8808 $8519
$3121 $1545 $6404 $5462 $4706
Find the median net gain.
A) $5084.00
B) $5871.56
Objective: (13.2) Solve Apps: Find Median
Solve the problem.
20) To get a C in history, Nandan must average 74 on four tests. Scores on the first three tests were 66, 78, and 63.
What is the lowest score that Nandan can get on the last test and still receive a C?
A) 15
B) 89
C) 70
Objective: (13.2) Solve Apps: Find Value/Sum Given Mean
5
D) 69
Find the range for the set of data given.
21) 0.122 0.117 0.531 0.418 0.611 0.297
A) 0.117
B) 0.531
C) 0.494
D) 0.175
C) 59
D) 43
C) 7.3
D) 6.9
Objective: (13.3) Find Range of Data Set
22) 26 36 16 41 59
A) 16
B) 10
Objective: (13.3) Find Range of Data Set
Find the standard deviation. Round to one more place than the data.
23) 1, 1, 8, 19, 6, 16, 17, 8, 19
A) 7.8
B) 1.3
Objective: (13.3) Find Standard Deviation
Provide an appropriate response.
24) Roughly speaking, the standard deviation indicates how far, on average, the observations are from the mean.
Do you think that for the data set below the standard deviation will give a good indication of the typical
deviation from the mean?
2, 3, 4, 4, 5, 5, 6, 6, 100
What drawback of the standard deviation is illustrated by this example?
Objective: (13.3) *Know Concepts: Measures of Dispersion
Solve the problem.
25) At Loop Junior College, the mean grade point average (gpa) of the current student body is 2.76 with a standard
deviation of 0.64. Compute the gpa's of each student to two decimal places.
A gpa with a z-score of 0.3.
A gpa with a z-score of -0.2.
A) 2.46, 2.96
B) 2.95, 2.63
C) 2.95, 2.56
D) 3.40, 2.12
Objective: (13.4) Solve Apps: Use and Interpret Z-Scores
26) Martin scored 41 points on a quiz. The average score for his class was 39 with a standard deviation of 2.4.
Martin's brother Jeff who is in a different class also had a quiz. He scored 31. The average score in Jeff's class
was 26 with a standard deviation of 1.9. Find the z-score for each person. Relatively speaking, who did better?
A) 0.83, 2.63, Martin
B) 0.83, 2.63, Jeff
C) 2.0, 5.0, Jeff
D) 2.0, 5.0, Martin
Objective: (13.4) Solve Apps: Use and Interpret Z-Scores
Rank the data from lowest to highest and determine the requested quartile.
27) The following scores on the midterm exam in Chemistry 102 were recorded.
93 81 59 69 82 73 61 77 95 84 88 71
85 97 63 72 89 80 60 98 91 62 78 83
76 81 94 66 83 96
Find the 3rd quartile, Q3.
A) 75
B) 85
C) 89
Objective: (13.4) Solve Apps: Find Quartile of Data Set
6
D) 87
Find the indicated decile or percentile.
28) The test scores of 19 students are listed below. Find the sixth decile, D6 .
36
56
69
88
45
59
72
89
49
61
76
92
53 55
62 65
79 82
98
A) 65
B) 69
C) 76
D) 72
Objective: (13.4) Solve Apps: Find Percentile/Decile of Data Set
Find the area under the normal curve for the condition.
29) Find the percent of the area under the curve between the mean and 3.01 standard deviations from the mean.
A) 49.9%
B) 49.7%
C) 99.9%
D) 50.1%
Objective: (13.5) Find Area Under Normal Curve
30) Find the percent of the total area under the curve between z = 1.41 and z = 2.83.
A) 7.8%
B) 7.7%
C) 7.9%
D) 7.85%
Objective: (13.5) Find Area Under Normal Curve
31) Find the percent of the total area under the curve between z = -2.49 and z = 1.19.
A) 11.1%
B) 11.3%
C) 86.8%
D) 87.7%
Objective: (13.5) Find Area Under Normal Curve
Use the standard normal curve table to find the closest z-score for the given condition.
32) 25.1% of the total area is to the right of z.
A) 0.67
B) 0.33
C) -0.68
D) -0.67
Objective: (13.5) Find Z-Score Given Area
At one high school, the mean time for running the 100-yard dash is 15.2 seconds with a standard deviation of 0.9
seconds. The times are very closely approximated by a normal curve. Find the percent of times that are:
33) Less than 17 seconds
A) 2.5%
B) 84%
C) 97.7%
D) 98%
Objective: (13.5) Solve Apps: Use Normal Curve to Find Percentage
34) Between 17 and 17.9 seconds
A) 16%
B) 13.5%
C) .5%
D) 2%
Objective: (13.5) Solve Apps: Use Normal Curve to Find Percentage
A company installs 5,000 light bulbs. The lifetimes of the lightbulbs are approximately normally distributed with a mean
of 500 hours and a standard deviation of 100 hours. Find the approximate number of bulbs that can be expected to last
the indicated amount of time.
35) Between 290 hours and 540 hours
A) 3,185
B) 3,190
C) 1,639
Objective: (13.5) Solve Apps: Use Normal Distribution to Find Number
7
D) 1,641
36) More than 400 hours
A) 4,219
B) 4,205
C) 2,207
D) 4,195
Objective: (13.5) Solve Apps: Use Normal Distribution to Find Number
37) Between 290 hours and 500 hours
A) 2,911
B) 2,913
C) 2,410
D) 2,413
Objective: (13.5) Solve Apps: Use Normal Distribution to Find Number
38) Less than 200 hours
A) 4,444
B) 7
C) 5
D) 10
Objective: (13.5) Solve Apps: Use Normal Distribution to Find Number
Find the indicated probability or percentage for the normally distributed variable.
39) The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard
deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less
than 32 oz?
A) 0.099
B) 0.401
C) 0.599
D) 0.382
Objective: (13.5) Solve Apps: Use Normal Curve to Find Probability
40) The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation
of 15 days. What is the probability that a pregnancy lasts at least 300 days?
A) 0.983
B) 0.483
C) 0.017
Objective: (13.5) Solve Apps: Use Normal Curve to Find Probability
8
D) 0.018
Answer Key
Testname: PRACTICE_CHP13
1)
2)
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7)
8)
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10)
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24)
A
B
D
C
C
D
B
C
D
C
D
A
C
B
C
A
C
B
A
B
C
D
C
Answers will vary. Possible answer: No, the standard deviation is 31.9. This is not a good indication of the typical
deviation from the mean because the data set contains an extreme observation, namely 100. The standard deviation is
very sensitive to extreme observations.
25)
26)
27)
28)
29)
30)
31)
32)
33)
34)
35)
36)
37)
38)
39)
40)
B
B
C
D
A
B
D
A
C
D
A
B
C
C
B
C
9