### Chapter 9 Review Exercises

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• 9. Historical Average Unemployment Rate

Using a spreadsheet and the line graph shown, what are the mean, median, and mode of the data presented in the line graph?

• Worked-Out Solution

Using a spreadsheet, you can find the mean, median, and mode of the data in the line graph.

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``` _    _    _    _     _____     _____
| || | || | || | ||  / ____||  |  ___||     ___
| || | || | || | || / //---`'  | ||__      /   ||
| \\_/ || | \\_/ || \ \\___    | ||__     | [] ||
\____//   \____//   \_____||  |_____||    \__ ||
`---`     `---`     `----`   `-----`      -|_||
`-`
```
• 10. Choosing the Best Measure of Central Tendency for Historical Unemployment Rates

Using a spreadsheet and the line graph shown, which measure of central tendency best describes the average of the data? Explain your reasoning.

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```  ______   __   __             _    _    _____
/_   _//  \ \\/ //   ____    | || | || |  __ \\
`-| |,-    \ ` //   |    \\  | || | || | |  \ ||
| ||      | ||    | [] ||  | \\_/ || | |__/ ||
|_||      |_||    |  __//   \____//  |_____//
`-`'      `-`'    |_|`-`     `---`    -----`
`-`
```
• 11. Historical Unemployment Rate Outliers

Which two data values in the line graph are outliers?

• Worked-Out Solution

From the graph, you can see that the values of 9.3% in 2009 and 9.6% in 2010 are outliers because they are significantly greater than the other values in the graph.

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```             ___     ______      ___     _    _
____      / _ \\  |      \\   / _ \\  | \  / ||
|    \\   | / \ || |  --  //  | / \ || |  \/  ||
| [] ||   | \_/ || |  --  \\  | \_/ || | .  . ||
|  __//    \___//  |______//   \___//  |_|\/|_||
|_|`-`     `---`   `------`    `---`   `-`  `-`
`-`
```
• 12. Determining the Effects of Outliers in Historical Unemployment Rates

Using a spreadsheet and the line graph shown, do the outliers have a greater effect on the mean or the median? Explain your reasoning.

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```  ______   __   __   _____     __   __    _____
/_   _//  \ \\/ // |  __ \\   \ \\/ //  |__  //
`-| |,-    \ ` //  | |  \ ||   \ ` //     / //
| ||      | ||   | |__/ ||    | ||     / //__
|_||      |_||   |_____//     |_||    /_____||
`-`'      `-`'    -----`      `-`'    `-----`

```
• 13. Using a Box-and-Whisker Plot to Analyze Historical Unemployment Rates

Use the box-and-whisker plot to analyze the unemployment rates.

• Worked-Out Solution

Here are some observations you can make about the historical unemployment rates.

• About 25% of the data is between 4.0% and 4.7%.
• About 25% of the data is between 4.7% and 5.6%.
• About 25% of the data is between 5.6% and 6.3%.
• About 25% of the data is between 6.3% and 9.6%.
• The highest 25% of the data has the greatest range. The other 3 quarters have similar ranges.

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``` __   _    _    _    _____      ______    _____
| || | || | || | || |  __ \\   /_   _//  / ____||
| '--' || | || | || | |  \ ||   -| ||-  / //---`'
| .--. || | \\_/ || | |__/ ||   _| ||_  \ \\___
|_|| |_||  \____//  |_____//   /_____//  \_____||
`-`  `-`    `---`    -----`    `-----`    `----`

```
• 14. Interpreting Historical Unemployment Rates from a Histogram

Explain whether the following statement is supported by the histogram: "The unemployment rate during most years is between 4.0% and 7.0%."

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```  _____    _    _              _    _     _____