### Applications of Box-and-Whisker Plots

The TI-83 or TI-84 can be used to create a box-and whisker plot. In the following examples, the TI-83 is used. In later Concepts, key strokes using the TI-84 will be presented to you. The five-number summary values can be determined by using the TRACE feature and the left and right arrows of the calculator or by pressing **TRACE feature** gives the individual values of the five-number summary one at a time.

#### Using Technology to Construct a Box-and-Whisker Plot

The following numbers represent the number of siblings in each family for 15 randomly selected students:

Use technology to construct a box-and-whisker plot to display the data.

A box-and-whisker plot can be created with a TI-83 calculator as shown below:

Note that when creating a box-and-whisker plot with a TI calculator, you don't have to actually sort the data. The calculator will sort the data automatically when creating the box-and-whisker plot.

#### Listing the Five-Number Summary

List the five-number summary values for the data in the previous example .

The five–number summary can be obtained from the calculator in 2 ways.

a. The following results are obtained by simply using the TRACE feature and the left and right arrows:

The values at the bottom of each screen are the five-number summary.

b. The second method involves pressing

#### Constructing Box-and-Whisker Plots

Construct a box-and-whisker plot using technology to represent the average number of sick days used by 9 employees of a large industrial plant. The numbers of sick days are as follows:

What are the values for the five-number summary?

The screens below show the five-number summary:

The values for the five-number summary are as follows:

Min. Value

Med

Max. Value

This can be verified by pressing

### Example

#### Example 1

The following data represents the number of flat-screen televisions assembled at a local electronics company for a sample of 28 days:

Using technology, construct a box-and-whisker plot for the data. What are the values for the five-number summary?

First press

Now press

Finally, press

The values for the five-number summary are as shown below:

Min. Value

Med

Max. Value

This can be verified by pressing

### Review

For each of the following box-and-whisker plots, determine the five-number summary and give one possible data set that could produce the box-and-whisker plot.

### Review (Answers)

To view the Review answers, open this PDF file and look for section 7.12.