Algebra 1 Summer Institute 2014

Algebra 1 Summer Institute 2014

The Box Plot

1. We'll look at how you can represent the Five-Number Summary graphically, using a box plot. For this activity, we will work with a set of 12 noodles with the following measurements (in millimeters):

1. Why is it necessary to order the data before creating a Five-Number Summary?

1. Using GeoGebra, let’s create a box-plot for this set of data:

1. Select the perspective to view the graphics window and the spreadsheet
2. Enter the data in column A
3. Highlight the data, click on cell A1, press the shit key in the keyboard and while pressing the key, click on cell A12

1. Click on the icon “One Variable Analysis”
2. Click on the button “Analyze”
3. Open the drop down window and select “Box Plot”
4. If you click in the icon you will see the Five-Number summary for this data.

The box plot is also called a box-and-whiskers plot. Though it looks very different from previous graphs, it's just another way to represent the distribution of the data we've been working with all along:

1. What percent of the data is in the box?

Using GeoGebra, create a box plot for each of the data sets below. Each is an ordered list of the number of raisins in a group of boxes from a particular brand.

Steps in GeoGebra:

1. Enter data for Brand A in column A, and data from Brand B in column B
2. Select all the cells from column A and click
3. Open the drop down window and select “Multiple Variable Analysis”
4. A new window will open that contains the information from column A. In this new window, click on the plus sign
5. Now select the cells from Column B, and then click on the hand sign on top of the nest column in the pop up window
6. Press the “Analyze” button
7. The stacked box-plots will show. At the bottom of the window you sill see the Five-number summary for each boxplot.

1. Compare the two box plots from Problem D2 side by side. What conclusions can you draw about Brand A raisins in comparison to Brand B raisins, using only the box plots?

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