Download Self Assessment for Lesson 8 1 1. Click on “Begin Assessment

Self Assessment for Lesson 8
1. Click on “Begin Assessment” button.
2. Scroll down to begin quiz.
1
Self Assessment for Lesson 8
2
1. Compare the centers of Distribution A (Female Shoulder Girth) and Distribution B (Male Shoulder Girth)
shown below.
Distribution A
Distribution B
60
30
40
20
20
10
0
0
80
86
92
98
104
110
116
122
Female Shoulder Girth (cm)
128
134
100
104
108
112
116
120
124
128
132
136
Male Shoulder Girth (cm)
The center of Distribution A is greater than the
center of Distribution B.
The center of Distribution A is less than the center
of Distribution B.
The center of Distribution A is equal to the center
of Distribution B.
Self Assessment for Lesson 8
3
2. Compare the spreads of Distribution A (Female
Shoulder Girth) and Distribution B (Male Shoulder
Girth) shown below.
Distribution A
Distribution B
60
30
40
20
20
10
0
0
80
86
92
98
104
110
116
122
Female Shoulder Girth (cm)
128
134
100
104
108
112
116
120
124
128
132
136
Male Shoulder Girth (cm)
The spread of Distribution A is greater than the
spread of Distribution B.
The spread of Distribution A is less than the
spread of Distribution B.
The spread of Distribution A is equal to the spread
of Distribution B.
Self Assessment for Lesson 8
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3. What is the approximate range of the Male Wrist
Girth dataset shown below?
14
15
16
17
18
Male Wrist Girth (cm)
19
20
Self Assessment for Lesson 8
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4. What is the approximate interquartile range of the
Male Wrist Girth dataset?
14
15
16
17
18
Male Wrist Girth (cm)
19
20
Self Assessment for Lesson 8
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5. If a dataset contains outliers, which measure of spread
is resistant?
Range
Interquartile Range
Standard Deviation
Variance
6. Which of the following statements is TRUE?
Standard deviation has no unit of measurement.
Standard deviation is either positive or negative.
Standard deviation is inflated by outliers.
Standard deviation is used even when the mean is
not an appropriate measure of center.
Self Assessment for Lesson 8
7
7. For the following distribution of major league baseball
players’ salaries in 1992, which measures of center and
spread are more appropriate?
1992 Major League Baseball Players’ Salaries
100
80
60
40
20
0
0
640
1280
1920
2560
3200
3840
4480
5120
Salary in Thousands of Dollars
mean and standard deviation
median and interquartile range
5760
6400
Self Assessment for Lesson 8
8. Which dataset has the largest value for s?
A
* * * * * * * * *
10
20
*
50
B
* ***** *
****
80
A
B
C
C
*
*
60
****
90
8
Self Assessment for Lesson 8
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Solutions to Quizzes
10
Solutions to Quizzes
Solution to Quiz: 1. The center of Distribution A is
approximately 100. The center of Distribution B is approximately 116. The center of Distribution A is less than the
center of Distribution B
End Quiz
Solutions to Quizzes
11
Solution to Quiz: 2. Because the shape of both distributions is nearly symmetric, we can use the range to compare
their spreads. The minimum value in Distribution A is approximately 85 and the maximum value is approximately
130. The minimum value in Distribution B is approximately
100 and the maximum value is approximately 135. The approximate range of Distribution A (45) is greater than the
approximate range of Distribution B (35). Visually, the
spread of Distribution B looks larger; however, because the
scales are different, we need to compute the ranges to compare the spreads.
End Quiz
Solutions to Quizzes
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Solution to Quiz: 3. The range is defined as the maximum value minus the minimum value. As indicated by the
boxplot, the maximum value is approximately 19.5 and the
minimum value is approximately 14.5. The range approximately equals 5.
End Quiz
Solutions to Quizzes
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Solution to Quiz: 4. The interquartile range is defined
as Q3 minus Q1. As indicated by the boxplot, Q3 is approximately 18 and Q1 is approximately 16.5. The interquartile
range approximately equals 1.5.
End Quiz
Solutions to Quizzes
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Solution to Quiz: 5. The standard deviation, variance,
and range are all sensitive to outliers. The interquartile
range is resistant to outliers.
End Quiz
Solutions to Quizzes
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Solution to Quiz: 6. Standard deviation has the same
unit of measurement as the original observations, is positive
or zero, and is inflated by outliers. The standard deviation
measures the spread about the mean and should only be
used when the mean is an appropriate measure of center.
End Quiz
Solutions to Quizzes
16
Solution to Quiz: 7. The mean and standard deviation
are affected by skewness.
End Quiz
Solutions to Quizzes
17
Solution to Quiz: 8. Dataset C has the largest spread of
data (standard deviation) about the mean.
End Quiz