Test Bank Chapter.4 Central Tendency and the Mean 1e - Statistics in Context 1e | Final Test Bank Blatchley by Barbara Blatchley. DOCX document preview.
Type: true-false
Title: Chapter 04 Question 01
1. True or False: The exact midpoint of the data is the median.
Feedback: Page reference: p4
a) True
b) False
Type: true-false
Title: Chapter 04 Question 02
2. True or False: In a data set where you have one extreme outlier, only the mean is influenced. Feedback: Page reference: p14, 15, 16
a) True
b) False
Type: true-false
Title: Chapter 04 Question 03
3. True or false: Of the three forms of central tendency, the median is most sensitive to outliers. Feedback: Page reference: p14, 15, 16
a) True
b) False
Type: true-false
Title: Chapter 04 Question 04
4. True or False: A negatively skewed distribution has a longer tail to the left of the center.
Feedback: Page reference: p16
a) True
b) False
Type: true-false
Title: Chapter 04 Question 05
5. True or False: When the data is skewed positive, the mean is expected to be larger than the median and the mode
Feedback: Page reference: p16
a) True
b) False
Type: true-false
Title: Chapter 04 Question 06
6. True or False: The mean, median and mode, are all measures of central tendency
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a) True
b) False
Type: true-false
Title: Chapter 04 Question 07
7. True or False: A trimmed mean can be appropriate used when the data is heavily skewed
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a) True
b) False
Type: true-false
Title: Chapter 04 Question 08
8. True or False: A trimmed mean is most useful when the data is a normal distribution
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a) True
b) False
Type: true-false
Title: Chapter 04 Question 09
9. True or False: The mean, median, and mode of a dataset can be used to describe both qualitative and quantitative data meaningfully.
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a) True
b) False
Type: true-false
Title: Chapter 04 Question 10
10. True or false: of the three measures of central tendency, only the mode is useful for certain types of data, like those on a nominal scale.
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a) True
b) False
Type: true-false
Title: Chapter 04 Question 11
11. True or False: The mode is the most commonly observed datapoint in a dataset
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a) True
b) False
Type: true-false
Title: Chapter 04 Question 12
12. True or False: A unimodal distribution is always a normal distribution
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a) True
b) False
Type: true-false
Title: Chapter 04 Question 13
13. True or False: Outliers are defined strictly as scores that are much higher or larger than the rest of the dataset
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a) True
b) False
Type: true-false
Title: Chapter 04 Question 14
14. True or False: Skewed distributions causes outliers in datasets.
Feedback: Page reference: p15, 16
a) True
b) False
Type: true-false
Title: Chapter 04 Question 15
15. True or false: If the mean is less than the median, and the median is less than the mode, the distribution is likely skewed negative
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a) True
b) False
Type: true-false
Title: Chapter 04 Question 16
16. True or false: 50% of the data points are larger than the median, and 50% of the datapoints are less than the median
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a) True
b) False
Type: true-false
Title: Chapter 04 Question 17
17. True or False: A normal distribution is unimodal and symmetric.
Feedback: Page reference: p16
a) True
b) False
Type: true-false
Title: Chapter 04 Question 18
18. True or False: A bi-modal distribution is characterized by the median and mean being located between two modes
Feedback: Page reference: p16
a) True
b) False
Type: true-false
Title: Chapter 04 Question 19
19. True or false: If one data point changes in a dataset, the mean is most likely to change
Feedback: Page reference: p14, 15, 16
a) True
b) False
Type: true-false
Title: Chapter 04 Question 20
20. True or false: The mean is the sum of all data values divided by the number of observations. Feedback: Page reference: p6
a) True
b) False
Type: multiple choice question
Title: Chapter 04 Question 01
1. The mean is also the…
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a. sum
b. arithmetic average.
c. the most frequent response.
d. the exact mid point (i.e., center) of the data set after ranking it in cardinal order.
Type: multiple choice question
Title: Chapter 04 Question 02
2. The median of the data set is defined as…
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a. The exact midpoint of a rank ordered dataset
b. the arithmetic average.
c. the largest data point subtract the smallest data point.
d. the most frequently observed response.
Type: multiple choice question
Title: Chapter 04 Question 03
3. The mode of a data set is the…
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a. the exact mid point (i.e., center) of a rank ordered dataset
b. The sum of the data points.
c. the largest data point subtract the smallest data point.
d. the most frequently observed response.
Type: multiple choice question
Title: Chapter 04 Question 04
4. Consider the data set that consists of: 10, 20, 32, 35, 44, 30, 60, 11. The value 31 is the…
Feedback: Page reference: p4
a. median only.
b. median and mean.
c. median, mode, and mean.
d. mean only.
Type: multiple choice question
Title: Chapter 04 Question 05
5. Which of the following measure(s) are commonly used as “typical” measures of center?
Feedback: Page reference: p5
a. The Mean, Median, and Mode
b. The Mean and Median
c. The Mean and Mode
d. The Mode and Median
Type: multiple choice question
Title: Chapter 04 Question 06
6. Given the dataset, what is x̅? 104, 102, 109, 95, 102, 98, 101, 97, 92, 94, 119, 102
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a. 102.
b. 101.25
c. 101.5
d. 27
Type: multiple choice question
Title: Chapter 04 Question 07
7. If you have a dataset with 95 observations, and you pick one and add 5 to it, which of the following is most likely to change?
Feedback: Page reference: p11, 12
a. The mean will change
b. The median will change
c. The mode will change
d. The mean, median, and mode all have the same likelihood of changing
Type: multiple choice question
Title: Chapter 04 Question 08
8. If you have a dataset, and you add 5 to each datapoint, what is likely to occur?
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a. The mean will be 5 units larger
b. The mean will change but not systematically
c. All three measures of central tendency will be 5 units larger
d. None of the above.
Type: multiple choice question
Title: Chapter 04 Question 09
9. In this dataset, one score is missing. However, it is known that the average of the dataset is 60.31. The data values are: 28, 86, 46, 80, 68, 58, 40, 99, 90, 24, 34, 98, X. Find the missing value, X.
Feedback: Page reference: p9
a. 33
b. 34
c. 32
d. Insufficient information
Type: multiple choice question
Title: Chapter 04 Question 10
10. A research scientist lost a data point out of 100 observations, but luckily has the median. Of the dataset. He asks one of his research assistants to find the missing data point with the remainder 99 observations and the median. Which of the following is true?
Feedback: Page reference: p11
a. this task is impossible, because the median does not take into account the magnitude of each observation.
b. this task is possible, but the research assistant also needs the mode.
c. This task is possible, but only after the research assistant puts the data into rank order.
d. This task is possible, but only after the research assistant is given the type of distribution that best represents the data.
Type: multiple choice question
Title: Chapter 04 Question 11
11. Imagine in a data set where the smallest value is not the mode. Now imagine if that smallest value decreases by 50. Everything else about the data set remains the same. Which of the following must be true?
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a. The mean decreases
b. The mean increases
c. The median and mean decreases
d. The mean and median decreases, but the mode remains constant.
Type: multiple choice question
Title: Chapter 04 Question 12
12. In a perfectly uni-modal distribution with perfectly symmetric sides around the mode, which of the following is true?
Feedback: Page reference: p,10, 11, 12
a. The mean and median are different values from the mode
b. The mean, median, and mode share the same value.
c. The distribution has three different values for mean, median, and mode.
d. Any of the above can be true. There is insufficient information to tell.
Type: multiple choice question
Title: Chapter 04 Question 13
13. In a distribution where there is a long tail towards the right side of the mode, which of the following is true?
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a. The distribution is considered normal because it is unimodal
b. The median is most heavily influenced out of the three central tendencies by the extreme values in the long tail
c. The mean is the least influenced by the extreme values in the long tail
d. None of the above are true
Type: multiple choice question
Title: Chapter 04 Question 14
14. In a positively skewed uni-modal distribution, how are the three measures of central tendency most likely arranged??
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a. Median > mode > mean.
b. Mode > median > mean.
c. Mean > median > mode.
d. Mean > mode > median.
Type: multiple choice question
Title: Chapter 04 Question 15
15. In a unimodal distribution where the mean is much greater than the median and the mode. What which of the following is the distribution of the data more likely to resemble?
Feedback: Page reference: p16
a. Negatively skewed
b. Positively skewed
c. Normally distributed
d. Uniformly distributed
Type: multiple choice question
Title: Chapter 04 Question 16
16. Which of the following is false of a normal distribution?
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a. The mean, median, and mode very close.
b. There can be outliers, but only on one side of the center.
c. The distribution is symmetrical around the center.
d. All of the above are true statements about a normal distribution.
Type: multiple choice question
Title: Chapter 04 Question 17
17. For which of the following datasets would a mean not be useful?
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a. The number of minutes students spend daydreaming in class
b. Individuals’ favorite music artist
c. The number of words a group of toddlers know
d. None of the above
Type: multiple choice question
Title: Chapter 04 Question 18
18. A researcher has an experiment with three conditions that generates data on the number of calories worth of food a participant puts on their plate. Which of the following can she do with this data?
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a. She can only use the mode for this type of data.
b. She can calculate means only
c. She can calculate means and modes. Medians are not informative.
d. She can calculate means, medians, and mode for each condition
Type: multiple choice question
Title: Chapter 04 Question 19
19. Which of the following correctly describes finding the center of a grouped frequency distribution?
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a. You need to find the midpoint of each grouped interval
b. The mode is the midpoint of an interval that occurs more frequently
c. The numbers may differ slightly from using the same data from an ungrouped frequency table.
d. All of the above are correct.
Type: multiple choice question
Title: Chapter 04 Question 20
20. A trimmed mean is the mean without the top and bottom ______ of the data included in the calculation
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a. 5%
b. 1%
c. 10%
d. 5 observations
Type: multiple choice question
Title: Chapter 04 Question 21
21. Adolphe Quetelet made which of the following observations about data that permeates the social sciences, even today?
Feedback: Page reference: p3
a. many traits can be measured in a way to make the mean meaningful
b. the mean is a very important number for a dataset because it is influenced by every datapoint
c. many traits and characteristics that we measure tend to fall on a normal distribution
d. Many traits and characteristics that we measure tend to have a fairly uniform distribution.
Type: multiple choice question
Title: Chapter 04 Question 22
22. When reporting a mean in APA format, the correct way to represent the mean is with which symbol?
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a. x̅
b. Σx
c. M
d. Any of the above is acceptable according to the APA guidelines.
Type: multiple choice question
Title: Chapter 04 Question 23
23. The following data represent the number of children people have.
Number of Kids |
2 |
1 |
4 |
3 |
3 |
2 |
4 |
1 |
1 |
1 |
2 |
3 |
1 |
4 |
2 |
3 |
2 |
1 |
5 |
1 |
2 |
3 |
1 |
1 |
What is the mean?
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a. 2
b. 2.1
c. 1
d. 2.2
Type: multiple choice question
Title: Chapter 04 Question 24
24. The following data represent the number of children people have.
Number of Kids |
2 |
1 |
4 |
3 |
3 |
2 |
4 |
1 |
1 |
1 |
2 |
3 |
1 |
4 |
2 |
3 |
2 |
1 |
5 |
1 |
2 |
3 |
1 |
1 |
What is the mode?
Feedback: Page reference: p8
a. 1
b. 2
c. 3
d. 4
Type: multiple choice question
Title: Chapter 04 Question 25
25. The following data represent the number of children people have.
Number of Kids |
2 |
1 |
4 |
3 |
3 |
2 |
4 |
1 |
1 |
1 |
2 |
3 |
1 |
4 |
2 |
3 |
2 |
1 |
5 |
1 |
2 |
3 |
1 |
1 |
What is the median?
Feedback: Page reference: p8, 9
a. 2.1
b. 2.2
c. 2
d. 3
Type: essay/short answer question
Title: Chapter 04 Question 01
1. Below are income data for individuals who participated in a recent study.
This data set contains information about the number of hours safe students studied before taking a recent exam. Using this information, answer questions.
Income | f |
100000-109999 | 9 |
90000-99999 | 12 |
80000-89999 | 33 |
70000-79999 | 21 |
60000-69999 | 56 |
50000-59999 | 24 |
40000-49999 | 19 |
30000-39999 | 42 |
20000-29999 | 17 |
10000-19999 | 6 |
What is the mean?
Type: essay/short answer question
Title: Chapter 04 Question 02
2. Below are income data for individuals who participated in a recent study.
This data set contains information about the number of hours safe students studied before taking a recent exam. Using this information, answer questions.
Income | f |
100000-109999 | 9 |
90000-99999 | 12 |
80000-89999 | 33 |
70000-79999 | 21 |
60000-69999 | 56 |
50000-59999 | 24 |
40000-49999 | 19 |
30000-39999 | 42 |
20000-29999 | 17 |
10000-19999 | 6 |
What is the median?
Type: essay/short answer question
Title: Chapter 04 Question 03
3. Below are income data for individuals who participated in a recent study.
This data set contains information about the number of hours safe students studied before taking a recent exam. Using this information, answer questions.
Income | f |
100000-109999 | 9 |
90000-99999 | 12 |
80000-89999 | 33 |
70000-79999 | 21 |
60000-69999 | 56 |
50000-59999 | 24 |
40000-49999 | 19 |
30000-39999 | 42 |
20000-29999 | 17 |
10000-19999 | 6 |
What is the mode?
Type: essay/short answer question
Title: Chapter 04 Question 04
4. How many minutes of television do children watch at home? A researcher surveyed parents and asked them to report the number of minutes per day children spend watching tv. The data are below
Minutes on TV |
55 |
80 |
75 |
90 |
120 |
40 |
30 |
20 |
60 |
40 |
50 |
120 |
80 |
50 |
60 |
40 |
40 |
50 |
70 |
40 |
What is the mean?
Type: essay/short answer question
Title: Chapter 04 Question 05
5. How many minutes of television do children watch at home? A researcher surveyed parents and asked them to report the number of minutes per day children spend watching tv. The data are below
Minutes on TV |
55 |
80 |
75 |
90 |
120 |
40 |
30 |
20 |
60 |
40 |
50 |
120 |
80 |
50 |
60 |
40 |
40 |
50 |
70 |
40 |
What is the median?
Type: essay/short answer question
Title: Chapter 04 Question 06
6. How many minutes of television do children watch at home? A researcher surveyed parents and asked them to report the number of minutes per day children spend watching tv. The data are below
Minutes on TV |
55 |
80 |
75 |
90 |
120 |
40 |
30 |
20 |
60 |
40 |
50 |
120 |
80 |
50 |
60 |
40 |
40 |
50 |
70 |
40 |
What is the mode?
Type: essay/short answer question
Title: Chapter 04 Question 07
7. How many minutes of television do children watch at home? A researcher surveyed parents and asked them to report the number of minutes per day children spend watching tv. The data are below
Minutes on TV |
55 |
80 |
75 |
90 |
120 |
40 |
30 |
20 |
60 |
40 |
50 |
120 |
80 |
50 |
60 |
40 |
40 |
50 |
70 |
40 |
Based on the three measures of center, what kind of shape do you expect the distribution to have?
Type: essay/short answer question
Title: Chapter 04 Question 08
8. A researcher who is examining stress-related hormones has data on indivdiuals’ body mass index. Below are the data
BMI | f |
18 | 4 |
19 | 11 |
20 | 6 |
21 | 24 |
22 | 39 |
23 | 33 |
24 | 35 |
25 | 39 |
26 | 41 |
27 | 36 |
28 | 22 |
29 | 16 |
30 | 19 |
What is the average body mass index in this sample?
Type: essay/short answer question
Title: Chapter 04 Question 09
9. A researcher who is examining stress-related hormones has data on indivdiuals’ body mass index. Below are the data
BMI | f |
18 | 4 |
19 | 11 |
20 | 6 |
21 | 24 |
22 | 39 |
23 | 33 |
24 | 35 |
25 | 39 |
26 | 41 |
27 | 36 |
28 | 22 |
29 | 16 |
30 | 19 |
What is the median body mass index in this sample?
Type: essay/short answer question
Title: Chapter 04 Question 10
10. A researcher who is examining stress-related hormones has data on indivdiuals’ body mass index. Below are the data
BMI | f |
18 | 4 |
19 | 11 |
20 | 6 |
21 | 24 |
22 | 39 |
23 | 33 |
24 | 35 |
25 | 39 |
26 | 41 |
27 | 36 |
28 | 22 |
29 | 16 |
30 | 19 |
What is the most common body mass index in this sample?
Type: essay/short answer question
Title: Chapter 04 Question 11
11. A researcher is running an experiment with two conditions. One in which she asks participants to bite into an apple when remembering a list of words to prevent them from rehearsing the words (i.e., saying them aid memory) and another group where they do not bite into an apple. Below are the data showing the number of words participants were able to recall out of 30.
Bite | f | No Bite | f |
5 | 11 | 5 | 4 |
6 | 8 | 6 | 5 |
7 | 14 | 7 | 6 |
8 | 12 | 8 | 14 |
9 | 15 | 9 | 13 |
10 | 16 | 10 | 12 |
11 | 5 | 11 | 15 |
12 | 6 | 12 | 8 |
13 | 3 | 13 | 4 |
14 | 2 | 14 | 9 |
15 | 1 | 15 | 2 |
16 | 0 | 16 | 0 |
17 | 0 | 17 | 1 |
What was the mean of each group?
Type: essay/short answer question
Title: Chapter 04 Question 12
12. A researcher is running an experiment with two conditions. One in which she asks participants to bite into an apple when remembering a list of words to prevent them from rehearsing the words (i.e., saying them aid memory) and another group where they do not bite into an apple. Below are the data showing the number of words participants were able to recall out of 30.
Bite | f | No Bite | f |
5 | 11 | 5 | 4 |
6 | 8 | 6 | 5 |
7 | 14 | 7 | 6 |
8 | 12 | 8 | 14 |
9 | 15 | 9 | 13 |
10 | 16 | 10 | 12 |
11 | 5 | 11 | 15 |
12 | 6 | 12 | 8 |
13 | 3 | 13 | 4 |
14 | 2 | 14 | 9 |
15 | 1 | 15 | 2 |
16 | 0 | 16 | 0 |
17 | 0 | 17 | 1 |
What was the median of each group?
Type: essay/short answer question
Title: Chapter 04 Question 13
13. A researcher is running an experiment with two conditions. One in which she asks participants to bite into an apple when remembering a list of words to prevent them from rehearsing the words (i.e., saying them aid memory) and another group where they do not bite into an apple. Below are the data showing the number of words participants were able to recall out of 30.
Bite | f | No Bite | f |
5 | 11 | 5 | 4 |
6 | 8 | 6 | 5 |
7 | 14 | 7 | 6 |
8 | 12 | 8 | 14 |
9 | 15 | 9 | 13 |
10 | 16 | 10 | 12 |
11 | 5 | 11 | 15 |
12 | 6 | 12 | 8 |
13 | 3 | 13 | 4 |
14 | 2 | 14 | 9 |
15 | 1 | 15 | 2 |
16 | 0 | 16 | 0 |
17 | 0 | 17 | 1 |
What was the mode of each group?
Type: essay/short answer question
Title: Chapter 04 Question 14
14. The three measures of central tendency are not appropriate for any type of measurement scale. Identify what measurement scale is appropriate for each measure of central tendency
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Statistics in Context 1e | Final Test Bank Blatchley
By Barbara Blatchley