IXL | Interpret median and interquartile range

Pete and his friends competed to see whose paper airplane could fly the greatest distance. The median distance was 9 feet, and the interquartile range was 7.5 feet. Pete's plane flew 14.5 feet, and his best friend's plane flew 8.25 feet. None of the planes flew farther than 21 feet.

Which is a typical distance a paper airplane flew?

7.5 feet

8.25 feet

9 feet

14.5 feet

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Learn with an example

question

Carlos and 5 of his friends just finished playing a racing video game against each other. The median score was 2,600 points, and the interquartile range was 750 points. All the players scored at least 2,000 points, and Carlos scored 3,100 points.

What is a typical score for these players?

750 points

2,000 points

2,600 points

3,100 points

key idea

The median is the middle value when a data set is ordered from least to greatest. It describes the center of the data set.

The interquartile range (IQR) is the range of the middle

50%

of the data set. It describes the variability of the data set.

solution

You want to find a typical score for these players.

A measure of center can provide a good typical value for a whole data set. Use the median, since it describes the center of the data set. The median score for these players was 2,600 points.

So, a typical score for these players was about 2,600

points.

Looking for more? Try these:

Lesson: Mean, median, mode, and range

Lesson: Interquartile range

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OO.3Find the median

JJ.7Calculate quartiles and interquartile range

Lesson: Mean, median, mode, and range

Lesson: Interquartile range

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