Using Box Plots to Visualize Variation

Lesson Plan - Get It!

Audio:

• What does this picture look like to you?

The picture above looks like pistons but is a picture of box plots.

After you complete this lesson, you will be able to construct a box plot and interpret what a box plot is telling you.

(You should understand the median and the quartiles before this lesson. If you need a refresher, check out our lessons under Additional Resources in the right-hand sidebar.)

The US Census Bureau collects information about the population of each state and the District of Columbia. That's 50 states plus the District of Columbia, all with different populations.

• If they were all listed here, could you easily picture how spread out those populations are or how clustered they are around a central value?

Probably not. Making sense of a list of numbers is difficult, so there are tools to help.

A box plot is one tool in the statistician's toolbox.

A box plot is simply a way to represent a data set in a picture. For example, you could create this picture instead of a list of all 51 states (and DC) populations.

This picture gives you a significant amount of information about the data set.

• How do you draw a box plot?
• What can you learn about your data from a box plot?

Take notes as you watch the video below.

Now that you have learned how to draw a box plot, watch this next video to practice with an example and to learn more about interpreting box plots.

Now, try matching number summaries and box plots yourself.

First, look at each box plot shown below. Then, drag and drop the correct number summary into the matching data box.

Feel free to watch the video again if you need to.

When ready, move on to the Got It? section for practice.