Boxplots and Outliers Answers

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1
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Shoppers were surveyed about their spending for holiday shopping. The standard deviation of the amount shoppers spent was $125. Which of the following is the best interpretation of this value?

A
Fifty percent of the amount shoppers spent is above $125.
B
The middle half of the amount shoppers spent has a range that is $125 wide.
C
The amount shoppers spent typically varies by about $125 from the mean.
D
The difference between the largest and smallest amounts shoppers spent was $125.
2
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A tutor kept track of how many students she had helped every week for a year. The range of the number of tutored students was 10 students. Which of the following is the best interpretation of this value?

A
Fifty percent of the tutored students’ data is below 10 students.
B
The middle half of the tutored students’ data has a range that is 10 students wide.
C
The number of students helped within a week typically varies by about 10 students from the mean.
D
The difference between the smallest and largest values in the tutored students’ data was 10 students.
6

In a recent survey, students were asked how long they play video games in one sitting. The interquartile range of the length of play times was 43 minutes. Which of the following is the best interpretation of this value?

A
Fifty percent of the video game data is below 43 minutes.
B
The middle half of the video game data has a range that is 43 minutes wide.
C
The number of minutes played by students typically varies by about 43 minutes from the mean.
D
The difference between the smallest and largest values in the video game data was 43 minutes.
8

Which of the following statements is true about the IQR, range, and standard deviation?

A
The IQR is the least resistant to extreme values.
B
The IQR is the most resistant to extreme values.
C
The range is the most resistant to extreme values.
D
The standard deviation is the most resistant to extreme values.
9

The parallel dotplots below display the girths (belly circumference) of some male and female pigs.

Question illustration
A
The IQR for the distribution of girths is larger in female pigs.
B
The range for the distribution of girths is larger in male pigs.
C
The standard deviation for the distribution of girths is smaller in female pigs.
D
The standard deviation for the distribution of girths is about the same for both male and female pigs.

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