Chapter 4 Measures Of Central Tendency Test Bank Answers - Answer Key + Test Bank | Statistics for Criminology and Criminal Justice 5e by Bachman by Ronet D. Bachman. DOCX document preview.
Chapter 4: Measures of Central Tendency
Test Bank
Multiple Choice
1) The mode is defined as ______.
a. the mathematical average
b. the middle score of a distribution that splits it into two equal halves
c. the most frequently occurring score in a distribution
d. the average of all the midpoints in a distribution
Learning Objective: 4.1. Describe the only measure of center appropriate for a nominal-level variable.
Cognitive Domain: Knowledge
Answer Location: The mode
Difficulty Level: Easy
2. For the following data, which value is the mode?
0, 9, 10, 2, 8, 6, 0, 20, 19, 2, 3, 14, 15, 7
a. 0
b. 2
c. 10
d. 0 and 2
Learning Objective: 4.4. Explain how to calculate and interpret all measures of center from both grouped and ungrouped data.
Cognitive Domain: Application
Answer Location: The mode
Difficulty Level: Easy
3. Which measure of central tendency is best used for categorical variables?
a. mode
b. median
c. mean
d. bimodal distribution
Learning Objective: 4.1. Describe the only measure of center appropriate for a nominal-level variable.
Cognitive Domain: Knowledge
Answer Location: The mode
Difficulty Level: Easy
4. The median is ______.
a. the most frequently occurring score in a distribution
b. the average of all scores in a distribution
c. the score that is in the exact middle of the distribution
d. the mathematical average
Learning Objective: 4.2. Identify the difference between the median and the mean.
Cognitive Domain: Knowledge
Answer Location: The median
Difficulty Level: Easy
5. For the following set of numbers, what is the median?
0, 9, 10, 2, 8, 6, 0, 20, 19, 2, 3, 14, 15, 7
a. 7.5
b. 8
c. 9
d. 7
Learning Objective: 4.4. Explain how to calculate and interpret all measures of center from both grouped and ungrouped data.
Cognitive Domain: Application
Answer Location: The median
Difficulty Level: Easy
6. Given the following grouped distribution, what would the median be?
Number of Drinks | f |
1 - 5 | 2 |
6 - 10 | 7 |
11 - 15 | 8 |
16 – 20 | 3 |
Total N | 20 |
a. 11 - 15
b. 13
c. 11.63
d. 15
Learning Objective: 4.4. Explain how to calculate and interpret all measures of center from both grouped and ungrouped data.
Cognitive Domain: Application
Answer Location: The median for grouped data
Difficulty Level: Medium
7. The mathematical average of a distribution is also called the ______.
a. mean
b. median
c. mode
d. most common number
Learning Objective: 4.2. Identify the difference between the median and the mean.
Cognitive Domain: Knowledge
Answer Location: The mean
Difficulty Level: Easy
8. What is the mean for the following distribution?
20, 29, 26, 2, 39, 30, 35, 37, 22, 29
a. 26
b. 26.9
c. 25
d. 27.9
Learning Objective: 4.4. Explain how to calculate and interpret all measures of center from both grouped and ungrouped data.
Cognitive Domain: Application
Answer Location: The mean
Difficulty Level: Easy
9. The following equation, 
, represents ______.
a. the sample mean in a frequency distribution
b. the sample mean for grouped data
c. the sample mean or dispersed data
d. the same mean for bimodal data
Learning Objective: 4.4. Explain how to calculate and interpret all measures of center from both grouped and ungrouped data.
Cognitive Domain: Comprehension
Answer Location: The mean
Difficulty Level: Medium
True/False
10. A distribution that had two modes would be considered unimodal?
Learning Objective: 4.1. Describe the only measure of center appropriate for a nominal-level variable.
Cognitive Domain: Knowledge
Answer Location: The mode
Difficulty Level: Easy
11. One disadvantage of the mode is that it does not take into account all of the information available in a distribution.
Learning Objective: 4.2. Identify the difference between the median and the mean.
Cognitive Domain: Knowledge
Answer Location: Advantages and disadvantages of the mode
Difficulty Level: Easy
12. One advantage of the mode is its simplicity.
Learning Objective: 4.2. Identify the difference between the median and the mean.
Cognitive Domain: Knowledge
Answer Location: Advantages and disadvantages of the mode
Difficulty Level: Easy
13. The mode may give a misleading notion of the central tendency of the data.
Learning Objective: 4.2. Identify the difference between the median and the mean.
Cognitive Domain: Knowledge
Answer Location: Advantages and disadvantages of the mode
Difficulty Level: Medium
14. The median can be used when analyzing nominal, ordinal, and interval level variables.
Learning Objective: 4.2. Identify the difference between the median and the mean.
Cognitive Domain: Knowledge
Answer Location: The median
Difficulty Level: Easy
15. Similar to the mode, there can be more than one median.
Learning Objective: 4.2. Identify the difference between the median and the mean.
Cognitive Domain: Knowledge
Answer Location: Advantages and disadvantages of the median
Difficulty Level: Easy
16. Unlike the mean, the median is not influenced by large outliers.
Learning Objective: 4.3. Describe when the median may be a better measure of center compared with the mean.
Cognitive Domain: Knowledge
Answer Location: Advantages and disadvantages of the median
Difficulty Level: Easy
17. Similar to the mode, a disadvantage of the median is that it only uses one and/or two pieces of information.
Learning Objective: 4.2. Identify the difference between the median and the mean.
Cognitive Domain: Knowledge
Answer Location: Advantages and disadvantages of the median
Difficulty Level: Easy
18. The mode is best used for categorical variables.
Learning Objective: 4.1. Describe the only measure of center appropriate for a nominal-level variable.
Cognitive Domain: Knowledge
Answer Location: The mode
Difficulty Level: Easy
19. The median is best used for nominal-level variables.
Learning Objective: 4.2. Identify the difference between the median and the mean.
Cognitive Domain: Knowledge
Answer Location: The median
Difficulty Level: Easy
20. Subtracting the mean from each score gives the “mean deviation”.
Learning Objective: 4.4. Explain how to calculate and interpret all measures of center from both grouped and ungrouped data.
Cognitive Domain: Knowledge
Answer Location: The mean
Difficulty Level: Medium
21). In a negatively skewed distribution, the mean is less than the median.
Learning Objective: 4.2. Identify the difference between the median and the mean.
Cognitive Domain: Comprehension
Answer Location: Advantages and disadvantages of the mean
Difficulty Level: Medium
22. In a positively skewed distribution, the mean is less than the median.
Learning Objective: 4.2. Identify the difference between the median and the mean.
Cognitive Domain: Comprehension
Answer Location: Advantages and disadvantages of the mean
Difficulty Level: Medium
Essay
23. Calculate the mean and the median from the following data
84, 95, 43, 97, 79, 89, 94, 86, 78, 81, 82, 86, 87, 96, 85, 86, 90
Learning Objective: 4.2. Identify the difference between the median and the mean.
Cognitive Domain: Application/Analysis
Answer Location: The mean/The median
Difficulty Level: Medium
24. Calculate the mean from the set of numbers in #23 after removing the value 43. What is the mean now? Why is it different from the mean in #23?
Learning Objective: 4.3. Describe when the median may be a better measure of center compared with the mean.
Answer Location: Advantages and disadvantages of the mean
Difficulty Level: Hard
25. Is the following distribution positively or negatively skewed? In this distribution would the mean be larger or smaller than the median? What appears to be the mode? What would the best measure of dispersion be?
Learning Objective: 4.3. Describe when the median may be a better measure of center compared with the mean.
Answer Location: Advantages and disadvantages of the mean
Difficulty Level: Hard
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Answer Key + Test Bank | Statistics for Criminology and Criminal Justice 5e by Bachman
By Ronet D. Bachman