IXL | Choose the correct box plot

Gwen volunteers in her school's lunchroom. For the past two weeks, she kept track of how many sixth-grade students bought lunch each day.

Number of students who buy lunch
44	68	63	56	90	40	70	57	50	80

Which box plot represents the data?

Number of students who buy lunch

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Learn with an example

question

Ms. Miller's English class kept track of how many books they read last school year.

Books read
41	24	97	67	103	75	120	27	53	39	108	49	111	84	44	20

Which box plot represents the data?

Books read

100

120

Books read

100

120

key idea

A box plot shows the minimum, lower quartile, median, upper quartile, and maximum of a data set.

solution

Start by arranging the data in order from least to greatest. The minimum is the first value. The maximum is the last value.

103

108

111

120

The minimum is

20.

The maximum is

120.

The median is the middle value.

103

108

111

120

There are two middle values, so the median is their average.

120

The median is

60.

Look at the lower half of the data. The lower quartile is the median of this data.

103

108

111

120

There are two middle values, so the lower quartile is their average.

The lower quartile is

40.

Look at the upper half of the data. The upper quartile is the median of this data.

103

108

111

120

There are two middle values, so the upper quartile is their average.

103

200

100

The upper quartile is

100.

Now, find the box plot that represents the data.

The minimum should be 20.
The lower quartile should be 40.
The median should be 60.
The upper quartile should be 100.
The maximum should be 120.

This box plot represents the data.

Books read

100

120

Looking for more? Try these:

Lesson: Box and whisker plots

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Lesson: Box and whisker plots

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