Box Plots Answers

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The data set represents the total number of pencils each student in a class needs to sharpen.0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9Which box plot correctly represents the data?

A
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 3.
Option A
B
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 4.
Option B
C
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 4.
Option C
D
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.
Option D
3

The interquartile range of the data set is 4.2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12Which explains whether or not 12 is an outlier?

A
Twelve is an outlier because it is greater than the sum of 7 and 4.
B
Twelve is an outlier because it is less than the sum of 7 and 6.
C
Twelve is not an outlier because it is greater than the sum of 7 and 4.
D
Twelve is not an outlier because it is less than the sum of 7 and 6.
6

A variety of two types of snack packs are delivered to a store. The box plots compare the number of calories in each snack pack of crackers to the number of calories in each snack pack of trail mix.Which statement is true about the box plots?

Question illustration
A
The interquartile range of the trail mix data is greater than the range of the cracker data.
B
The value 70 is an outlier in the trail mix data.
C
The upper quartile of the trail mix data is equal to the maximum value of the cracker data.
D
The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.
7

The data set below has a lower quartile of 13 and an upper quartile of 37.1, 12, 13, 15, 18, 20, 35, 37, 40, 78Which statement is true about any outliers of the data set?

A
The data set does not have any outliers.
B
The lowest value, 1, is the only outlier.
C
The greatest value, 78, is the only outlier.
D
Both 1 and 78 are outliers.
8

The box plot compares the number of events that Mrs. Cai’s and Mr. Roland’s classes won over the last 10 years on the school’s field day.Based on the data in the box plots, what is the best evidence to show which class has had greater success on field day over the last 10 years?

Question illustration
A
Mrs. Cai’s class was more successful because her interquartile range was less spread out.
B
Mrs. Cai’s class was more successful because she had the greater total spread.
C
Mr. Roland’s class was more successful because his class always won at least one event.
D
Mr. Roland’s class was more successful because his class’s lower quartile was the same as Mrs. Cai’s class’s upper quartile.
9

Which statement is true about the box plots?

Question illustration
A
Both the ranges and the interquartile ranges for the data sets are the same.
B
Neither the ranges nor the interquartile ranges for the data sets are the same.
C
The interquartile ranges for the box plots are the same, but their ranges are different.
D
The ranges for the box plots are the same, but their interquartile ranges are different.

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