Box Plots Answers

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Roxy has received the following quiz scores so far this year:75, 88, 90, 96, 98, 100Which box plot represents this data?

A
A box-and-whisker plot. The number line goes from 75 to 100. The whiskers range from 75 to 100, and the box ranges from 88 to 98. A line divides the box at 93.
Option A
B
A box-and-whisker plot. The number line goes from 75 to 100. The whiskers range from 75 to 100, and the box ranges from 88 to 98. A line divides the box at 90.
Option B
C
A box-and-whisker plot. The number line goes from 75 to 100. The whiskers range from 75 to 100, and the box ranges from 88 to 97. A line divides the box at 93.
Option C
D
A box-and-whisker plot. The number line goes from 75 to 100. The whiskers range from 75 to 100, and the box ranges from 88 to 97. A line divides the box at 90.
Option D
2
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What percentage of the data values falls between the values of 27 and 45 in the data set shown?

Question illustration
A
25%
B
50%
C
75%
D
100%
3

What percentage of the data values falls between the values of 3 and 24 in the data set shown?

Question illustration
A
25%
B
50%
C
75%
D
100%
4

What is the range of the data below?

Question illustration
A
22
B
28
C
41
D
42
5

A data set has a lower quartile of 3 and an interquartile range of 5. Which box plot could represent this data set?

A
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 8. A line divides the box at 6.
Option A
B
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 4 to 16, and the box ranges from 4 to 11. A line divides the box at 9.
Option B
C
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 10. A line divides the box at 8.
Option C
D
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 3 to 16, and the box ranges from 4 to 9. A line divides the box at 7.
Option D
6

Which box plot represents the data set 2, 4, 6, 8, 10, 12?

A
A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 4 to 10. A line divides the box at 7.
Option A
B
A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 4 to 8. A line divides the box at 6.
Option B
C
A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 4 to 9. A line divides the box at 6.
Option C
D
A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 6 to 10. A line divides the box at 8.
Option D
7

The box part of the box plot contains all the values between which numbers?

Question illustration
A
between 27 and 36 and between 37 and 40
B
between 32 and 36
C
between 32 and 37
D
between 27 and 32 and between 37 and 40
8

Which box plot correctly displays the data set with a maximum of 48, a minimum of 27, a median of 36, an upper quartile of 45, and a lower quartile of 32?

A
A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 32 to 45. A line divides the box at 36.
Option A
B
A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 46, and the box ranges from 32 to 45. A line divides the box at 36.
Option B
C
A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 31 to 39. A line divides the box at 36.
Option C
D
A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 46, and the box ranges from 31 to 39. A line divides the box at 36.
Option D
9

What percentage of the data values represented on a box plot falls between the lower quartile and the upper quartile?

A
25%
B
33%
Option B
C
50%
D
75%
10

What percentage of the data values represented on a box plot falls between the minimum value and the lower quartile?

A
25%
B
33%
Option B
C
50%
D
75%

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