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?
Answer
A
The middle half of the video game data has a range that is 43 minutes wide.
B
The number of minutes played by students typically varies by about 43 minutes from the mean.
C
The difference between the smallest and largest values in the video game data was 43 minutes.
D
Fifty percent of the video game data is below 43 minutes.
Explanation
The interquartile range is the difference between the third quartile and the first quartile, so it describes the spread of the middle 50% of the data. An interquartile range of 43 minutes means that this middle half spans 43 minutes. Choice C states this correctly; choice A describes the full range from the smallest to the largest value.
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