Boxplots and Outliers Answers

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1
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A box of LED light bulbs was tested to see how long the light bulbs last. The standard deviation of the light bulb lifetime data was five years. Which of the following is the best interpretation of this value?

A
Fifty percent of the light bulb lifetime data is below five years.
B
The difference between the longest and shortest light bulb lifetime was five years.
C
The lifetime of the light bulbs typically varies by about five years from the mean.
D
The middle half of the light bulb lifetime data has a range that is five years wide.
3

Without making any calculations, which distribution of data has the smallest standard deviation?

A
1, 1, 1, 2, 2, 2
B
1, 1, 1, 1, 2, 2
C
1, 1, 1, 1, 1, 2
D
1, 1, 1, 1, 1, 1
4

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.
6

The parallel dotplots below display the number of hours spent studying for a final exam by each of two classes.

Question illustration
A
The range for the distribution of the number of hours spent studying for calculus is larger.
B
The range for the distribution of the number of hours spent studying for statistics is larger.
C
There is a larger standard deviation in the distribution of the number of hours spent studying for calculus.
D
The standard deviation for the distributions of number of hours spent studying is the same for both classes.
7

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.
10

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.

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