Deck 4: Measures of Variability
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Deck 4: Measures of Variability
1
The question below refers to the following situation:
A university's administration is interested in understanding students'study habits. The School randomly surveys 13 students and asks them how much time per weeknight they Typically spend studying. The following are the responses in minutes:
60, 90, 120, 120, 150, 180, 180, 180, 180, 210, 240, 270, 300
Calculate the standard deviation.
A)12.18
B)240
C)66.40
D)34 ,085
A university's administration is interested in understanding students'study habits. The School randomly surveys 13 students and asks them how much time per weeknight they Typically spend studying. The following are the responses in minutes:
60, 90, 120, 120, 150, 180, 180, 180, 180, 210, 240, 270, 300
Calculate the standard deviation.
A)12.18
B)240
C)66.40
D)34 ,085
66.40
2
The range is useful for:
A)advanced statistical procedures.
B)estimating the standard deviation.
C)computing the median.
D)all of the above
A)advanced statistical procedures.
B)estimating the standard deviation.
C)computing the median.
D)all of the above
estimating the standard deviation.
3
Standard deviation can only be used for variables measured at which level?
A)ordinal level
B)nominal level
C)interval level
D)all of the above
A)ordinal level
B)nominal level
C)interval level
D)all of the above
interval level
4
The standard deviation measures the degree of variability in a distribution.
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5
The question below refers to the following situation:
A university's administration is interested in understanding students' study habits. The School randomly surveys 13 students and asks them how much time per weeknight they Typically spend studying. The following are the responses in minutes:
60, 90, 120, 120, 150, 180, 180, 180, 180, 210, 240, 270, 300
What is the mode?
A)120
B)180
C)4
D)none of the above
A university's administration is interested in understanding students' study habits. The School randomly surveys 13 students and asks them how much time per weeknight they Typically spend studying. The following are the responses in minutes:
60, 90, 120, 120, 150, 180, 180, 180, 180, 210, 240, 270, 300
What is the mode?
A)120
B)180
C)4
D)none of the above
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6
Given the following distribution of quiz scores for a statistics course:
87, 91, 74, 73, 80, 84, 68, 75
What is the variance?
A)54
B)7.35
C)48
D)43 2
87, 91, 74, 73, 80, 84, 68, 75
What is the variance?
A)54
B)7.35
C)48
D)43 2
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7
A synonym for variability is:
A)width.
B)summary.
C)average.
D)none of the above
A)width.
B)summary.
C)average.
D)none of the above
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8
Another synonym for variability is:
A)dispersion.
B)length.
C)mean.
D)di splay.
A)dispersion.
B)length.
C)mean.
D)di splay.
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9
For a somewhat normal distribution, the range is approximately equal to how many times
The standard deviation?
A)2
B)4
C)6
D)8
The standard deviation?
A)2
B)4
C)6
D)8
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10
The difference between the highest and the lowest values in a distribution of scores is known
As the:
A)deviation.
B)midpoint.
C)range.
D)m edian.
As the:
A)deviation.
B)midpoint.
C)range.
D)m edian.
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11
The mean of the squared deviations is better known as:
A)the variance.
B)the standard deviation.
C)the range.
D)the mean deviation.
A)the variance.
B)the standard deviation.
C)the range.
D)the mean deviation.
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12
Given the following distribution of quiz scores for a statistics course:
87, 91, 74, 73, 80, 84, 68, 75
What is the standard deviation?
A)2.71
B)2.60
C)6.11
D)7.35
87, 91, 74, 73, 80, 84, 68, 75
What is the standard deviation?
A)2.71
B)2.60
C)6.11
D)7.35
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13
The standard deviation is a measure of __________.
A)central tendency
B)variability
C)accuracy
D)b and c
A)central tendency
B)variability
C)accuracy
D)b and c
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14
The question below refers to the following situation:
A university's administration is interested in understanding students' study habits. The School randomly surveys 13 students and asks them how much time per weeknight they Typically spend studying. The following are the responses in minutes:
60, 90, 120, 120, 150, 180, 180, 180, 180, 210, 240, 270, 300
Calculate the range.
A)240
B)300
C)9
D)4
A university's administration is interested in understanding students' study habits. The School randomly surveys 13 students and asks them how much time per weeknight they Typically spend studying. The following are the responses in minutes:
60, 90, 120, 120, 150, 180, 180, 180, 180, 210, 240, 270, 300
Calculate the range.
A)240
B)300
C)9
D)4
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15
The question below refers to the following situation:
A university's administration is interested in understanding students' study habits. The School randomly surveys 13 students and asks them how much time per weeknight they Typically spend studying. The following are the responses in minutes:
60, 90, 120, 120, 150, 180, 180, 180, 180, 210, 240, 270, 300
What is the median?
A)180
B)175.38
C)45
D)13
A university's administration is interested in understanding students' study habits. The School randomly surveys 13 students and asks them how much time per weeknight they Typically spend studying. The following are the responses in minutes:
60, 90, 120, 120, 150, 180, 180, 180, 180, 210, 240, 270, 300
What is the median?
A)180
B)175.38
C)45
D)13
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16
Which of the following is a measure of variability?
A)the mode
B)the standard deviation
C)the median
D)none of the above
A)the mode
B)the standard deviation
C)the median
D)none of the above
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17

A)the variance.
B)the mean deviation.
C)the standard deviation.
D)none of the above
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18
The question below refers to the following situation:
A university's administration is interested in understanding students' study habits. The School randomly surveys 13 students and asks them how much time per weeknight they Typically spend studying. The following are the responses in minutes:
60, 90, 120, 120, 150, 180, 180, 180, 180, 210, 240, 270, 300
Calculate the mean.
A)228
B)157.83
C)175.38
D)18 0
A university's administration is interested in understanding students' study habits. The School randomly surveys 13 students and asks them how much time per weeknight they Typically spend studying. The following are the responses in minutes:
60, 90, 120, 120, 150, 180, 180, 180, 180, 210, 240, 270, 300
Calculate the mean.
A)228
B)157.83
C)175.38
D)18 0
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19
The question below refers to the following situation:
A university's administration is interested in understanding students' study habits. The School randomly surveys 13 students and asks them how much time per weeknight they Typically spend studying. The following are the responses in minutes:
60, 90, 120, 120, 150, 180, 180, 180, 180, 210, 240, 270, 300
Calculate the variance.
A)292.62
B)148.26
C)360
D)44 09.47
A university's administration is interested in understanding students' study habits. The School randomly surveys 13 students and asks them how much time per weeknight they Typically spend studying. The following are the responses in minutes:
60, 90, 120, 120, 150, 180, 180, 180, 180, 210, 240, 270, 300
Calculate the variance.
A)292.62
B)148.26
C)360
D)44 09.47
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20
Given the following distribution of quiz scores for a statistics course:
87, 91, 74, 73, 80, 84, 68, 75
What is the range?
A)21
B)23
C)25
D)30
87, 91, 74, 73, 80, 84, 68, 75
What is the range?
A)21
B)23
C)25
D)30
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21
The question below refers to the following situation:
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.
The variance for the Spring is __________.
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.

The variance for the Spring is __________.
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22
A normal (symmetrical) distribution has no variability.
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23
Dispersion is synonymous with variability.
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24
Scores that have a small standard deviation are relatively inconsistent.
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25
The standard deviation is a more precise measure of variation than the range.
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26
The question below refers to the following situation:
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.
The mean for the Fall is __________.
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.

The mean for the Fall is __________.
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27
The question below refers to the following situation:
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.
The variance for the Fall is __________.
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.

The variance for the Fall is __________.
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28
The question below refers to the following situation:
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.
The standard deviation for the Fall is __________.
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.

The standard deviation for the Fall is __________.
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29
The question below refers to the following situation:
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.
The range for the Spring is __________.
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.

The range for the Spring is __________.
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30
The question below refers to the following situation:
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.
What do the different standard deviations between the Fall and Spring statistics courses indicate?
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.

What do the different standard deviations between the Fall and Spring statistics courses indicate?
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31
The question below refers to the following situation:
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.
The standard deviation for the Spring is __________.
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.

The standard deviation for the Spring is __________.
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32
The following distribution represents 8 quiz scores: {100, 98, 98, 96, 95, 90, 86, 78}. Please calculate the range.
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33
The question below refers to the following situation:
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.
As this example illustrates, a disadvantage of the range is that it is __________ than the
standard deviation.
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.

As this example illustrates, a disadvantage of the range is that it is __________ than the
standard deviation.
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34
The higher the standard deviation, the greater the variation.
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35
Find the standard deviation for the following frequency distribution of the hours spent at a youth recreation center on a Saturday night by a sample of 20 teenagers: 

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36
The question below refers to the following situation:
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.
The mean for the Spring is __________.
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.

The mean for the Spring is __________.
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37
The range and standard deviation are always identical.
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38
The question below refers to the following situation:
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.
The range for the Fall is __________.
Below are two distributions of final scores for separate statistics courses. The first is from the Fall term, the second is from the Spring term.

The range for the Fall is __________.
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