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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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