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Mean Absolute Deviation Answers

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1
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Which data set is the most spread from its mean?

A
14, 26, 24, 28
B
22, 16, 18, 36
C
22, 28, 20, 22
D
21, 19, 27, 25
2
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Which box plot represents a set of data that has the greatest mean absolute deviation?

A
A box-and-whisker plot. The whiskers have a range of 5 units, and the box has a range of 3.5 units.
Option A
B
A box-and-whisker plot. The whiskers have a range of 9 units, and the box has a range of 7 units.
Option B
C
A box-and-whisker plot. The whiskers have a range of 6 units, and the box has a range of 3 units.
Option C
D
A box-and-whisker plot. The whiskers have a range of 4.5 units, and the box has a range of 2 units.
Option D
3

How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2?Set 1: 5, 10, 7, 2Set 2: 5, 10, 7, 42

A
The MAD of set 1 is 10.5 more than the MAD of set 2.
B
The MAD of set 1 is 2.5 more than the MAD of set 2.
C
The MAD of set 1 is 10.5 less than the MAD of set 2.
D
The MAD of set 1 is 2.5 less than the MAD of set 2.
4

Veronika’s five test scores are 59, 80, 95, 88, and 93. If the outlier of 59 is removed, what is the mean absolute deviation of the remaining four test scores?

A
4.5
B
5
C
10.8
D
36
5

Which data set is the most clustered around its mean?

A
4, 10, 8, 6
B
11, 3, 10, 4
C
2, 9 ,13, 4
D
11, 2, 9, 6
6

How does the mean absolute deviation (MAD) of the data in set 2 compare to the mean absolute deviation of the data in set 1? Set 1: 16, 15, 10, 12Set 2: 16, 62, 15, 10, 12

A
The MAD of set 2 is 10 less than the MAD of set 1.
B
The MAD of set 2 is 13.35 more than the MAD of set 1.
C
The MAD of set 2 is 10 more than the MAD of set 1.
D
The MAD of set 2 is 13.35 less than the MAD of set 1.
7

The values for three different sets of data are shown below.Data Data SetValues152, 55, 59, 53, 50240, 49, 43, 42, 90, 38324, 30, 26, 31, 40, 26Without calculating any statistics, Jadyn knows that data set 1 would have the least mean absolute deviation among the three sets. Which statement explains how she knows?

A
Sets 2 and 3 have an even number of values.
B
Set 1 has the least number of values.
C
Sets 2 and 3 contain outliers.
D
Set 1 contains an outlier.
8

A survey asked eight students about their scores on a history test and whether they studied for the test. The table shows the results of the survey.Test Scores StudiedDid Not Study8834906786809659Which statements about the data sets are true? Check all that apply.

A
The mean absolute deviation for the group of students who studied is 12.
B
The mean absolute deviation for the group of students who did not study is 13.5.
C
The data for the group that studied are more spread out than the data for the group that did not study.
D
The data for the group that did not study are more spread out than the data for the group that studied.
E
The data for the group that studied are more clustered around the mean than the data for the group that did not study.
F
The data for the group that did not study are more clustered around the mean than the data for the group that did study.
9

How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2? Set 1: 12, 8, 10, 50Set 2: 13, 9, 8

A
The MAD of set 1 is 13 less than the MAD of set 2.
B
The MAD of set 1 is 13 more than the MAD of set 2.
C
The MAD of set 1 is 2 more than the MAD of set 2.
D
The MAD of set 1 is 2 less than the MAD of set 2.
10

Students reported practicing violin during the last semester for 45, 38, 52, 58, and 42 hours. What is the mean absolute deviation for the number of hours students practiced the violin? Round to the nearest tenth.

A
6.4
B
6.8
C
32
D
47

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