AnswersStatistical ReasoningBoxplots and Outliers

Boxplots and Outliers — Quiz Answers

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1
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Which of the following is the five-number summary for the distribution of arm spans?

A
143, 165, 175, 185, 200
B
140, 160, 170, 180, 210
C
143, 162, 168, 180, 202
D
145, 158, 168, 182, 202
2
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The five-number summary of a data set is given. Minimum: 3 cap q sub 1 : 12 Median: 15 cap q sub 3 : 16 Maximum: 20 Which of the following is the IQR for this distribution?

A
1
B
5
C
3
D
4
3

The five-number summary for the lengths of songs, in minutes, performed by a popular music group is given. Minimum: 1 point 8 cap q sub 1 : 3 point 3 Median: 3 point 8 cap q sub 3 : 4 point 5 Maximum: 9 point 2 The shortest song performed by the group is 1 point 8 minutes while the longest three songs are 5 point 7 , 7 point 5 , and 9 point 2 minutes. Are any of these song lengths outliers?

A
Yes, 7 point 5 and 9 point 2 are outliers.
B
Yes, 1 point 8 and 9 point 2 are outliers.
C
Yes, 5 point 7 , 7 point 5 , and 9 point 2 are outliers.
D
No, none of the lengths are outliers.
4

The five-number summary of a data set is given. Minimum: 3 cap q sub 1 : 12 Median: 15 cap q sub 3 : 16 Maximum: 20 Which of the following equals 1 point 5 times IQR ?

A
9
B
1 point 5
C
4 point 5
D
6
5

Thirteen students in a statistics class were asked how many siblings they have. Their responses are listed. 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6 Which of the following boxplots correctly displays the data?

A
Image with description A boxplot. A number line labeled number of siblings goes from 0 to 6. The whiskers range from 0 to 6, and the box ranges from 2.5 to 5. A line divides the box at 3.
B
Image with description A boxplot. A number line labeled number of siblings goes from 0 to 6. The whiskers range from 1 to 6, and the box ranges from 2.5 to 4. A line divides the box at 3.
C
Image with description A boxplot. A number line labeled number of siblings goes from 0 to 6. A point is at 0. The whiskers range from 1 to 6, and the box ranges from 2.5 to 4. A line divides the box at 3.
D
Image with description A boxplot. A number line labeled number of siblings goes from 0 to 6. A point is at 6. The whiskers range from 0 to 5, and the box ranges from 2.5 to 4. A line divides the box at 3.
6

Which of the following is used to identify outliers in a set of data?

A
1 point 5 times range
B
2 times mean
C
1 point 5 times IQR
D
2 times median
7

Identify the outliers, if they exist.

A
153
B
202
C
192, 202
D
There are no outliers.
8

Identify the outliers, if they exist.

A
12, 14, 15
B
12, 14, 30
C
12, 14, 15, 16
D
There are no outliers.
9

Which of the boxplots correctly displays the data?

A
Image with description A boxplot. A number line labeled 100 meter times (seconds) goes from 22 to 30. The whiskers range fro 22 to 30, and the box ranges from 24 to 28. A line divides the box at 27.
B
Image with description A boxplot. A number line labeled 100 meter times (seconds) goes from 22 to 30. The whiskers range from 22 to 29, and the box ranges from 24 to 28. A line divides the box at 26.
C
Image with description A boxplot. A number line labeled 100 meter times (seconds) goes from 22 to 30. The whiskers range from 22 to 30, and the box ranges from 24.5 to 28. A line divides the box at 26.
D
Image with description A boxplot. A number line labeled 100 meter times (seconds) goes from 22 to 30. The whiskers range from 23 to 29, and the box ranges 24 to 28. A line divides the box at 26.
10

Which of the following is not a true statement?

A
The range of the distribution is around 60 cm.
B
There are no outliers in this distribution.
C
The center of the distribution is around 180 cm.
D
The shape of the boxplot is fairly symmetric.

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