Ron Larson
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Chapter 9 Review Exercises

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