Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
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1.
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Find
the mean, median, and mode of the following list of values. Round to the nearest tenth if
necessary.
30, 26, 25, 11, 34, 20, 26, 26 a. | Mean =
99
Median = 26
Mode = 26 | c. | Mean = 24.8
Median =
26
Mode = 26 | b. | Mean = 24.8
Median =
26
Mode = 25 | d. | Mean =
24.8
Median = 26
Mode = 26 | | | | |
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2.
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An
asteroid is a small planetary body that revolves around the Sun. The asteroid belt is a band of
asteroids that lie between the orbits of the planets Mars and Jupiter. Suppose that scientists
measured the diameter of several of the asteroids and the results of their findings are contained in
the table below.
Asteroid
Number | Diameter of Asteroid (m) | Asteroid 1 | 74 | Asteroid
2 | 91 | Asteroid
3 | 17 | Asteroid
4 | 63 | Asteroid
5 | 34 | Asteroid
6 | 17 | Asteroid
7 | 40 | Asteroid
8 | 35 | Asteroid
9 | 71 | | |
From this table, determine the mean, median, and mode of the
set. a. | Mean = 71.5
meters
Median = 40 meters
Mode = 17
meters | c. | Mean = 49.1
meters
Median = 74 meters
Mode = 17
meters | b. | Mean = 49.1 meters
Median = 40
meters
Mode = 71 meters | d. | Mean = 49.1 meters
Median = 40
meters
Mode = 17 meters | | | | |
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3.
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Find
the range and the first and third quartiles for the data set.
26, 27, 73, 78,
57, 46, 90 a. | Range =
64
First quartile = 27
Third quartile = 78 | b. | Range =
90
First quartile = 57
Third quartile = 78 | c. | Range =
57
First quartile = 27
Third quartile = 78 | d. | Range =
64
First quartile = 78
Third quartile = 27 | | |
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4.
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Consider the data set below.
12, 21, 5, 14,
10, 3, 20
Which of the box-and-whisker plots below best
represents this data set?
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5.
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A
professor surveys a group of college graduates to determine the age at which they graduated from
college. The results of the survey are shown in the table below.
Age at College Graduation | Frequency | 21–25 | 25 | 26–30 | 23 | 31–35 | 2 | 36 or
older | 12 | | |
Draw a bar graph that represents the data in the frequency table
above.
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Matching
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Match each of the following vocabulary words with its
definition. a. | back-to-back
stem-and-leaf plot | e. | circle
graph | b. | bar graph | f. | correlation | c. | biased
sample | g. | unbiased
sample | d. | box-and-whisker plot | h. | frequency table | | | | |
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6.
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a
graph that uses vertical or horizontal bars to display data
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7.
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the
description of the relationship between two data sets
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8.
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a
graph that displays the highest and lowest quarters of data as whiskers, the middle two quarters of
the data as a box, and the median
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9.
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a
sample that does not fairly represent the population
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10.
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a
table that lists items together according to the number of times that the items occur
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11.
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a
graph that compares two sets of data by displaying one set of data to the left of the stem and the
other to the right
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Short Answer
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12.
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Two
data sets are represented by the following two box-and-whisker plots.
Plot 1:
Plot 2:
Compare the
medians and ranges of plot 1 and plot 2.
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13.
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Find
the mean, median, and mode of the following list. Include one decimal place in your answer, if
necessary. Show your work.
17, 25, 36, 14, 19, 27, 44, 16, 26, 9
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14.
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Consider the following data set.
212, 147, 198,
275, 106, 147, 266, 264, 270, 115, 108, 147, 106, 210
a. Find
the median value of the data set. Show your work.
b. Find the first and third quartiles. Explain your
answer.
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Essay
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15.
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A
student at a junior high school for seventh- and eighth-graders wishes to survey all people in the
school to find out which mode of transportation (walking, riding a bike, riding a bus, or riding in a
car) is used most often to get to school. Describe the population for the survey and explain how the
student might select a stratified sample.
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