AnswersPre-Algebra BBox Plots

Data Displays and Statistics Answers

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1
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Which statements about the box plot are correct? Check all that apply.

Question illustration
A
Fifty percent of the data values lies between 34 and 46.
B
Seventy-five percent of the data values lies between 42 and 70.
C
It is unlikely that there are any outliers.
D
The interquartile range is 24.
E
The range is 36.
2
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What is the range of the data below?

Question illustration
A
22
B
28
C
41
D
42
3

What is the range of the data below?

Question illustration
A
2
B
5
C
12
D
13
4

A data set has a maximum of 200, a minimum of 115, a median of 145, an upper quartile of 150, and a lower quartile of 120. Which statement is true of the box plot of this data set?

A
The box will go from 145 to 150.
B
A line dividing the box will be at 135.
C
The left whisker will go from 115 to 145.
D
The right whisker will go from 150 to 200.
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

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%
7

A restaurant records the number of tables served each night, and the results have the values: minimum = 3, lower quartile = 14, median = 23, upper quartile = 29, and maximum = 40. Which box plot represents the data?

A
mc022-1.jpg
Option A
B
mc022-2.jpg
Option B
C
mc022-3.jpg
Option C
D
mc022-4.jpg
Option D
8

What is the value of the interquartile range of the data below?

Question illustration
A
6
B
12
C
14
D
24
9

Which letter represents the maximum of the data set on the box plot?

Question illustration
A
B
B
C
C
D
D
E
10

The box plot was created by using which pieces of data?

Question illustration
A
a maximum of 130 and a lower quartile of 10
B
a maximum of 130 and a lower quartile of 5
C
a maximum of 135 and a lower quartile of 10
D
a maximum of 135 and a lower quartile of 5
11

Which letter represents the upper quartile of the data set on the box plot?

Question illustration
A
B
B
C
C
D
D
E
12

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
13

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
14

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%
15

A data set has a maximum of 84, a minimum of 34, a median of 52.5, an upper quartile of 64, and a lower quartile of 44. Which statement is true of the box plot of this data set?

A
The box will go from 44 to 64.
B
A line dividing the box will be at 54.
C
The left whisker will go from 34 to 52.5.
D
The right whisker will go from 44 to 84.
16

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

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