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Math 1342
Review Ch. 1-3 Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
1)
Statistics is the science of conducting studies to
1)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
2)
Which of the following correctly describes the relationship between a sample and a
population?
A) A sample is a group of populations that are subject to observation.
B) A population and a sample are not related.
C) A sample is a group of subjects selected from a population to be studied.
D) A population is a group of samples that may or may not be included in a study.
2)
3)
Based on her electric bills from last year, Mrs. Smith expects she will be paying
$75/month this year. This is an example of descriptive statistics.
3)
A) True
4)
B) False
Determine which of the following describes quantitative data.
i). the length of an object in feet
ii). the speed of an object in meters per second
iii). the number of objects that are blue
A) i, ii, and iii
B) i only
C) iii only
4)
D) i
and ii only
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
5)
Give the boundaries of the given value.
3.089
5)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
6)
The names of all 106 students in a professor's class are written on identical slips of
paper, and the slips are placed into a large glass jar. Then, the professor selects 11
random slips from the jar. Identify the kind of sample that is being used.
A) systematic sample
B) sample of convenience
C) cluster sample
D) simple random sample
6)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
7)
For the class 5-19, the upper class limit is
7)
8)
What is the midpoint of the class 17–20?
8)
1
9)
A recent statistics exam yielded the following 25 scores. Construct a grouped
frequency distribution with the class limits shown below.
63
55
81
77
77
86
89
82
87
79
77
63
44
74
45
51
68
80
91
87
Class Limits
41-50
51-60
61-70
71-80
81-90
91-100
9)
67
96
90
59
97
Tally
Frequency
10) Construct
a frequency polygon from the following frequency distribution.
Temperature
Frequency
28.5-31.5
1
31.5-34.5
3
34.5-37.5
6
37.5-40.5
10
40.5-43.5
8
43.5-46.5
7
10)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
11) An
ogive is also called a cumulative frequency graph.
A) True
B) False
11)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
12) Which
type of graph represents the data by using vertical bars of various heights
to indicate frequencies?
12)
13) Given
13)
the following frequency distribution, how many pieces of data were less
than 28.5?
Class Boundaries
Frequencies
13.5-18.5
4
18.5-23.5
9
23.5-28.5
12
28.5-33.5
15
33.5-38.5
17
2
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
14) Classify
the histogram as skewed to the left, skewed to the right, or approximately
symmetric.
14)
A) approximately
symmetric
B) skewed to the left
C) skewed to the right
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
15) The
following frequency distribution presents the weights in pounds (lb) of a
sample of visitors to a health clinic.
Construct a frequency histogram.
3
15)
16) A
sample of 200 high school students were asked how many hours per week they
spend watching television.The following frequency distribution presents the
results.
Construct a frequency ogive for the frequency distribution.
4
16)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
17) The
following frequency distribution presents the frequency of passenger vehicles that
pass through a certain intersection from 8:00 AM to 9:00 AM on a particular day.
Vehicle Type
Motorcycle
Sedan
SUV
Truck
Frequency
9
20
25
39
Construct a pie chart for the data.
A)
B)
C)
D)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
18) Construct
a Pareto chart for the following distribution:
Year in School
Freshmen
Sophomores
Juniors
Seniors
Number of Students
28
14
40
18
5
18)
17)
ESSAY. Write your answer in the space provided or on a separate sheet of paper.
19) The
following information shows the colors of cars preferred by customers. Draw a pie graph and
indicate how many degrees that black represents in a pie graph?
Color
Red
Black
White
Green
Blue
Number
50
60
30
20
40
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
20) Given
the following two sets of data, draw a back-to-back stem and leaf plot.
A - 12, 22, 22, 24, 34, 31, 26, 35, 27, 39, 49, 10
B - 45, 36, 23, 16, 37, 28, 18, 13, 10, 23, 30, 31
21) Construct
a dotplot for the following data.
20)
21)
22) Which
of the following is the properly rounded mean for the given data?
7, 8, 13, 9, 10, 11
22)
23) What
23)
24) Find
24)
is the median of the following data set?
6, 9, 13, 14, 18
27
the median for the following data set:
22
25
10
10
16
25) What
is the mode of the following data set?
5, 19, 17, 13, 17, 15, 12
25)
26) Find
26)
the mean, mode, median, and midrange for the following data set.
12, 15, 18, 18, 15, 22, 15, 30, 12
6
27) A
random sample of weights (in carats) of sapphires in a jeweler's collection is
shown. Find the mean of the sample.
Class Boundaries
0.95-2.95
2.95-4.95
4.95-6.95
6.95-8.95
8.95-10.95
27)
Frequency
10
15
10
10
9
28) Find
the median of the data in the following stem-and-leaf plot. The leaf represent 28)
the ones digit.
29) The
range of the following data set is
.
29)
9, 5, 14, 24, 12
30) Find
the sample standard deviation for the following data set:
30)
25 13 31 33 20
31) The
costs per load (in cents) of 47 dish-washing detergents tested by a consumer
organization are shown here. Find the standard deviation of the sample.
Class limits
20-28
29-37
38-46
47-55
32) Following
31)
Frequency
12
10
14
11
are heights, in inches, for a sample of college basketball players.
84 88 86 85 70 75 72 86 78 81
86 78 81 72 73 76 77 87 88 84
Find the sample standard deviation for the heights of the basketball players.
7
32)
33) A
paint manufacturer discovers that the mean volume of paint in a gallon-sized
pail is 1 gallon with a standard deviation of 0.05 gallons. The paint volumes are
approximately bell-shaped. Estimate the percent of pails with volumes between
0.95 gallons and 1.05 gallons.
33)
34) According
34)
35) If
35)
to Chebyshev's theorem, the maximum proportion of data values from
a data set that are more than 1.5 standard deviations from the mean is
.
a set of data has mean 12 and variance 16, then it's coefficient of variation is
.
36) A
data set has a mean of 177 and a standard deviation of 20. Compute the
coefficient of variation.
36)
37) For
the data set below, find the first quartile.
37)
38) For
the data set below, find the IQR.
38)
population has a mean μ = 21 and standard deviation σ = 11. Find the z-score
for a population value of 40.
39)
40) A
population has a mean μ = 23 and standard deviation σ = 10. What number has
a z-score of 2.5?
40)
41) Given
41)
42) For
42)
39) A
the following data set, find the approximate value that corresponds to the
75th percentile.
10, 44, 15, 23, 14, 18, 72, 56
the data set below, find the outlier(s).
43) Make
a boxplot for the following data set.
43)
24, 15, 34, 92, 68, 34, 78, 45, 53, 67, 83, 46
8
Answer Key
Testname: REVIEW CH.1‐3
1)
2)
3)
4)
5)
6)
7)
collect, organize, summarize, analyze, and draw conclusions from data.
C
B
A
3.0885-3.0895
D
19
8) 18.5
9)
Class Limits
41-50
51-60
61-70
71-80
81-90
91-100
Frequency
2
3
4
6
7
3
10)
11) A
12) histogram
13) 25
14) B
15)
9
Answer Key
Testname: REVIEW CH.1‐3
16)
17) C
18)
19)
10
Answer Key
Testname: REVIEW CH.1‐3
20)
2, 0
7, 6, 4, 2, 2
9, 5, 4, 1
9
1
2
3
4
0, 3, 6, 8
3, 3, 8
0, 1, 6, 7
5
21)
22) 9.7
23) 13
24) 19
25) 17
26) mean
= 17.4
mode = 15
median = 15
midrange = 21.0
27) 5.69
28) 26
29) 19
30) 8.2
31) 10.1
32) 6
33) 68%
34) 0.44
35) 33.3%
36) 0.11
37) 65
38) 9
39) 1.7
40) 48
41) 50
42) 123 and 201
11
Answer Key
Testname: REVIEW CH.1‐3
43)
(15, 34, 49.5, 73, 92)
12