Final Verified Test Bank Chapter 5 Measures Of Dispersion - Answer Key + Test Bank | Statistics for Criminology and Criminal Justice 5e by Bachman by Ronet D. Bachman. DOCX document preview.
Chapter 5: Measures of Dispersion
Test Bank
Multiple Choice
1. Measures of dispersion inform us about ______.
a. the true value of a variable
b. the heterogeneity in the data
c. if a variable can cause another variable
d. the homogeneity in the data
Learning Objective: 5.1. Explain what measures of dispersion tell us about a variable distribution compared with measures of central tendency.
Cognitive Domain: Knowledge
Answer Location: Introduction
Difficulty Level: Easy
2. Which of the following sets of data are the most homogenous?
a. 20, 25, 30, 35, 40
b. 35, 45, 55, 65, 75
c. 35, 36, 37, 38, 39
d. 25, 27, 29, 31, 33
Learning Objective: 5.1. Explain what measures of dispersion tell us about a variable distribution compared with measures of central tendency.
Cognitive Domain: Comprehension
Answer Location: Introduction
Difficulty Level: Easy
3. The variance ratio is most appropriate to use on what type of data?
a. nominal and ordinal
b. interval
c. ratio
d. continuous
Learning Objective: 5.2. Identify a measure of dispersion appropriate for nominal- or ordinal-level data.
Cognitive Domain: Knowledge
Answer Location: Measuring dispersion for nominal- and ordinal-level variables
Difficulty Level: Easy
4. The range ______.
a. measures how long a distribution is
b. calculates the lowest value subtracted from the highest value
c. calculates the highest value subtracted from the lowest value
d. calculates the value at the 75th percentile subtracted from the value at the 25th percentile.
Learning Objective: 5.3. Describe the difference between the range and the interquartile range.
Cognitive Domain: Knowledge
Answer Location: The range and interquartile range
Difficulty Level: Easy
5. The range of the middle 50% of scores in a data set is the ______.
a. range
b. variance
c. interquartile range
d. standard deviation
Learning Objective: 5.3. Describe the difference between the range and the interquartile range.
Cognitive Domain: Knowledge
Answer Location: The range and interquartile range
Difficulty Level: Easy
6. Calculate the range of the following data:
25, 30, 34, 120, 9, 24, 23, 28, 34, 30
a. 111
b. -111
c. 95
d. -95
Learning Objective: 5.3. Describe the difference between the range and the interquartile range.
Cognitive Domain: Application/Analysis
Answer Location: The range and interquartile range
Difficulty Level: Easy
7. One disadvantage of the range is that ______.
a. it only works for nominal level data
b. you can get negative values for a range
c. it can be too accurate
d. it may distort the dispersion of the data
Learning Objective: 5.3. Describe the difference between the range and the interquartile range.
Cognitive Domain: Knowledge
Answer Location: The range and interquartile range
Difficulty Level: Medium
8. For the values in #6, what is the interquartile range?
a. 9.5
b. 10.5
c. 10
d. 9
Learning Objective: 5.3. Describe the difference between the range and the interquartile range.
Cognitive Domain: Application/Analysis
Answer Location: The range and interquartile range
Difficulty Level: Easy
9. The following equation, 
, represents ______.
a. deviations from the mean
b. the average deviations from the mean
c. the variance
d. the standard deviation
Learning Objective: 5.5. Calculate and interpret the standard deviation with both grouped and ungrouped data.
Cognitive Domain: Comprehension/Application
Answer Location: The standard deviation and variance
Difficulty Level: Medium
10. The distance of a score from the mean is referred to as ______.
a. the range
b. the variance
c. the standard deviation
d. the mean deviation score
Learning Objective: 5.5. Calculate and interpret the standard deviation with both grouped and ungrouped data.
Cognitive Domain: Knowledge
Answer Location: The standard deviation and variance
Difficulty Level: Medium
11. The average squared deviations from the mean is ______.
a. the variance
b. the range
c. the standard deviation
d. the mean deviation score
Learning Objective: 5.5. Calculate and interpret the standard deviation with both grouped and ungrouped data.
Cognitive Domain: Knowledge
Answer Location: The standard deviation and variance
Difficulty Level: Medium
12. The following equation, 
, represent ______.
a. the variance of the sample
b. the variance of the population
c. the standard deviation
d. the mean
Learning Objective: 5.5. Calculate and interpret the standard deviation with both grouped and ungrouped data.
Cognitive Domain: Comprehension/Application
Answer Location: The standard deviation and variance
Difficulty Level: Medium
13. The square root of the average squared deviations from the mean is ______.
a. the variance
b. the range
c. the standard deviation
d. the mean deviation
Learning Objective: 5.5. Calculate and interpret the standard deviation with both grouped and ungrouped data.
Cognitive Domain: Knowledge/Comprehension
Answer Location: The standard deviation and variance
Difficulty Level: Medium
14. The following equation, 
, represents ______.
a. the standard deviation of the sample
b. the standard deviation of the population
c. the standard variance
d. the mean
Learning Objective: 5.5. Calculate and interpret the standard deviation with both grouped and ungrouped data.
Cognitive Domain: Comprehension/Application
Answer Location: The standard deviation and variance
Difficulty Level: Medium
15. In the equations for the sample standard deviation and variance, why is there an “n-1” in the denominator of the equations?
a. It represents the sample and adjusts for bias in smaller sample sizes.
b. It represents the population and adjusts for having too much data.
c. It represents the sample and adjusts for exact generalizability to the population.
d. It adjusts for skewed data.
Learning Objective: 5.5. Calculate and interpret the standard deviation with both grouped and ungrouped data.
Cognitive Domain: Knowledge/Comprehension
Answer Location: The standard deviation and variance
Difficulty Level: Medium
16. In boxplots, values that fall to the left of the low adjacent value and/or to the right of the high adjacent value are called ______.
a. skewed
b. outliers
c. problematic
d. high variance variables
Learning Objective: 5.6. Construct and interpret a boxplot and understand how it can reveal virtually everything about a variable distribution including the measure of center, variability, shape, and outliers.
Cognitive Domain: Knowledge
Answer Location: Boxplots
Difficulty Level: Easy
True/False
17. The variation ratio is a measure of dispersion that is appropriate to use for variables such as offense type (felony or misdemeanor), political party identification, and race.
Learning Objective: 5.2. Identify a measure of dispersion appropriate for nominal- or ordinal-level data.
Cognitive Domain: Knowledge
Answer Location: The variation ratio
Difficulty Level: Easy
18. If two different sets of data have the same range, the variability for both sets has to be the same.
Learning Objective: 5.3. Describe the difference between the range and the interquartile range.
Cognitive Domain: Comprehension
Answer Location: The range and interquartile range
Difficulty Level: Medium
19. The range may be influenced by extremely low or extremely high values
Learning Objective: 5.3. Describe the difference between the range and the interquartile range.
Cognitive Domain: Knowledge
Answer Location: The range and interquartile range
Difficulty Level: Easy
20. If the variance has been calculated, the researcher then only needs to take the square root of it to find the standard deviation.
Learning Objective: 5.5. Calculate and interpret the standard deviation with both grouped and ungrouped data.
Cognitive Domain: Comprehension
Answer Location: The standard deviation and variance
Difficulty Level: Easy
21. The mean deviation is the most frequently used measure of dispersion for interval/ratio level variables.
Learning Objective: 5.5. Calculate and interpret the standard deviation with both grouped and ungrouped data.
Cognitive Domain: Knowledge
Answer Location: The standard deviation and variance
Difficulty Level: Easy
22. The range and/or interquartile range are the most appropriate measures of dispersion for interval/ratio level data
Learning Objective: 5.3. Describe the difference between the range and the interquartile range.
Cognitive Domain: Knowledge
Answer Location: The range and interquartile range
Difficulty Level: Easy
23. When calculating the variance and standard deviation for grouped data, one would use the midpoint of the group instead of the individual case score.
Learning Objective: 5.5. Calculate and interpret the standard deviation with both grouped and ungrouped data.
Cognitive Domain: Knowledge
Answer Location: Calculating the variance and standard deviation with grouped data
Difficulty Level: Medium
Essay
24. Define the measures of dispersion and which type of variables can they be applied to?
Learning Objective: 5.1. Explain what measures of dispersion tell us about a variable distribution compared with measures of central tendency.
Cognitive Domain: Knowledge/Comprehension
Answer Location: Measuring dispersion for nominal- and ordinal-level variables; Measuring dispersion for interval- and ratio-level variables; The variance and standard deviation
Difficulty Level: Medium
25. With the following data, state whether the range or interquartile range is more appropriate. Why?
2, 3, 9, 19, 13, 5, 17, 18, 2, 55, 16, 20, 21, 6, 19, 20
Learning Objective: 5.3. Describe the difference between the range and the interquartile range.
Cognitive Domain: Application/Analysis
Answer Location: The range and interquartile range
Difficulty Level: Hard
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Answer Key + Test Bank | Statistics for Criminology and Criminal Justice 5e by Bachman
By Ronet D. Bachman