Box Plots Answers

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3

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.
5

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

Which statement is true about the ranges for the box plots?

Question illustration
A
The range of the Morning box plot is the same as the range of the Afternoon box plot.
B
The range of the Morning box plot is 1 less than the range of the Afternoon box plot.
C
The range of the Morning box plot is 1 more than the range of the Afternoon box plot.
D
The range of the Morning box plot is 2 less than the range of the Afternoon box plot
7

The box plots compare the number of students in Mr. Ishimoto’s classes and in Ms. Castillo’s classes over the last two semesters.Which statement is true about the box plots? Select three options.

Question illustration
A
Both box plots show the same range.
B
Both box plots show the same interquartile range.
C
The data for Mr. Ishimoto has an outlier.
D
Mr. Ishimoto had the class with the greatest number of students.
E
The smallest class size was 24 students.
8

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
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.
10

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.

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Box Plots Answers — Concepts in Probability and…