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Introductory Statistics:
Exploring the World through Data, 1e
by Gould and Ryan
Chapter 3:
Numerical Summaries of Center and Variation
© 2013 Pearson Education, Inc.
Slide 3 - 1
The arithmetic average of a
collection of data is called the
100%
A.
Mean.
B.
Median.
C.
Mode.
D.
Range.
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© 2013 Pearson Education, Inc.
B.
0%
C.
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D.
Slide 3 - 2
True or False
When the distribution of the data is more or
less symmetric, the balancing point is roughly
in the center.
80%
A.
B.
True
False
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B.
Slide 3 - 3
True or False
The mean is the only representation of the
“typical” value of the variable.
100%
A.
B.
True
False
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© 2013 Pearson Education, Inc.
B.
Slide 3 - 4
To calculate the mean,
A.
B.
Find the arithmetic average
of the numbers.
100%
Add up all the numbers and
divide that sum by the
number of observations.
C.
Use the formula
D.
All of the above.
x
å
x=
.
n
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A.
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© 2013 Pearson Education, Inc.
0%
B.
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C.
D.
Slide 3 - 5
The mean of a sample,
A.
Measures the center
of a sample
distribution.
B.
Identifies the
“balancing point” of
the distribution.
C.
Represents the typical
value in a set of data
when the distribution
is roughly symmetric.
D.
All of the above.
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© 2013 Pearson Education, Inc.
0%
B.
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C.
D.
Slide 3 - 6
True or False
The standard deviation is a number that
measures how far away the typical observation
is from the mean.
100%
A.
B.
True
False
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© 2013 Pearson Education, Inc.
B.
Slide 3 - 7
True or False
Distributions that have smaller standard
deviations have more observations that are
fairly close to the mean.
100%
A.
B.
True
False
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A.
© 2013 Pearson Education, Inc.
B.
Slide 3 - 8
True or False
Distributions that have larger standard
deviations have more observations that are
farther from the mean.
80%
A.
B.
True
False
20%
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A.
© 2013 Pearson Education, Inc.
B.
Slide 3 - 9
True or False
In a symmetric, unimodal distribution, the
majority of the observations (in fact, about twothirds of them) are less than one standard
deviation from the mean.
60%
A.
B.
True
False
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A.
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B.
Slide 3 - 10
The standard deviation,
A.
Measures the spread of a
distribution.
B.
Measures the typical
distance of the
observations from the
mean.
C.
Measures the amount of
variability in a sample when
the distribution is fairly
symmetric.
D.
80%
20%
0%
0%
All of the above.
A.
B.
C.
D.
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© 2013 Pearson Education, Inc.
Slide 3 - 11