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9.1–9.2 Quiz

9.1–9.2 Quiz
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  • 1. Describing World Education Rankings

    The chart shows the world education rankings from the Organisation for Economic Co-operation and Development (OECD). Describe the information presented in the rankings chart.

    • Worked-Out Solution

      The chart shows the ranks and scores for the top 34 countries in reading, math, and science. The scores for each subject are given according to their rank from highest to lowest. The scores for each country are indicated by color coding and lines connecting the scores. Here are some observations.

      • South Korea is ranked highest in both reading and math.
      • Finland is ranked highest in science.
      • The United States is ranked 25th in math.
      • Turkey, Chile, and Mexico are ranked 32nd, 33rd, and 34th, respectively, in all three subjects.
      • The highest rank for the United States is in reading.
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     ______      ___     __   __     ___      _____   
    |      \\   / _ \\   \ \\/ //   / _ \\   /  ___|| 
    |  --  //  | / \ ||   \   //   | / \ || | // __   
    |  --  \\  | \_/ ||   / . \\   | \_/ || | \\_\ || 
    |______//   \___//   /_//\_\\   \___//   \____//  
    `------`    `---`    `-`  --`   `---`     `---`   
                                                      
    
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  • 2. Ordering World Education Rankings

    The chart shows the world education rankings from the Organisation for Economic Co-operation and Development (OECD). Are the countries listed in order of greatest total score? Explain your reasoning.

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      _  _    __   __   ______     _____             
     | \| ||  \ \\/ // |      \\  |  ___||     ___   
     |  ' ||   \ ` //  |  --  //  | ||__      /   || 
     | .  ||    | ||   |  --  \\  | ||__     | [] || 
     |_|\_||    |_||   |______//  |_____||    \__ || 
     `-` -`     `-`'   `------`   `-----`      -|_|| 
                                                `-`  
    
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  • 3. Comparing the United States and Germany in World Education Rankings

    The chart shows the world education rankings from the Organisation for Economic Co-operation and Development (OECD). Do you agree with the following comment? Explain your reasoning.

    • Worked-Out Solution

      No, it does not make much sense to say that overall the United States scored higher than Germany. The United States' score of 500 in reading is a little higher than Germany's score of 497, but Germany's scores of 513 in math and 520 in science are considerably higher than the United States' scores of 487 in math and 502 in science.

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      _  _      ___     _    _     ______   _    _   
     | \| ||   / _ \\  | |  | ||  /_   _// | || | || 
     |  ' ||  | / \ || | |/\| ||   -| ||-  | || | || 
     | .  ||  | \_/ || |  /\  ||   _| ||_  | \\_/ || 
     |_|\_||   \___//  |_// \_||  /_____//  \____//  
     `-` -`    `---`   `-`   `-`  `-----`    `---`   
                                                     
    
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  • 4. Comparing the Math Scores of Austria and Poland

    The chart shows the world education rankings from the Organisation for Economic Co-operation and Development (OECD). Did Austria or Poland score higher in math? Explain your reasoning.

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     _____       ___     ______    __   __   _    _   
    |  __ \\    / _ \\  |      \\  \ \\/ // | |  | || 
    | |  \ ||  | / \ || |  --  //   \ ` //  | |/\| || 
    | |__/ ||  | \_/ || |  --  \\    | ||   |  /\  || 
    |_____//    \___//  |______//    |_||   |_// \_|| 
     -----`     `---`   `------`     `-`'   `-`   `-` 
                                                      
    
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  • 5. Finding the Median, Mode, and Mean of World Education Scores

    The chart shows the world education rankings from the Organisation for Economic Co-operation and Development (OECD). Do the following for each column in the chart.

    1. Use the chart to find the median and mode.
    2. Use a spreadsheet to find the mean.

    • Worked-Out Solution
      1. The scores are shown in descending order. Because there are 34 scores, the median is the mean of the 17th and 18th score in each column.

        To find the mode, find the score that occurs most often in each column.

        The mode for the reading scores is 500, which occurs 3 times.

        The mode for the math scores is 487, which occurs 3 times.

        The science scores have two modes, 500 and 508, which occur 2 times each.

      2. Use the spreadsheet to find the mean.

        The mean reading score is about 493.4, the mean math score is 496 and the mean science score is about 500.8.

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     _____     _    _     ____     _    _    __   __  
    |  __ \\  | || | ||  |  _ \\  | || | ||  \ \\/ // 
    | |  \ || | || | ||  | |_| || | || | ||   \   //  
    | |__/ || | \\_/ ||  | .  //  | \\_/ ||   / . \\  
    |_____//   \____//   |_|\_\\   \____//   /_//\_\\ 
     -----`     `---`    `-` --`    `---`    `-`  --` 
                                                      
    
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  • 6. Choosing the Best Measure of Central Tendency for Math Scores

    The chart shows the world education rankings from the Organisation for Economic Co-operation and Development (OECD). Which measure of central tendency best describes the average of the math scores? Explain your reasoning.

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      ______     ___      _____     _____    _    _   
     /_____//   / _ \\   /  ___||  |  ___|| | \  / || 
     `____ `   / //\ \\ | // __    | ||__   |  \/  || 
     /___//   |  ___  ||| \\_\ ||  | ||__   | .  . || 
     `__ `    |_||  |_|| \____//   |_____|| |_|\/|_|| 
     /_//     `-`   `-`   `---`    `-----`  `-`  `-`  
     `-`                                              
    
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  • 7. Using a Box-and-Whisker Plot to Describe the Distribution of Math Scores

    The chart shows the world education rankings from the Organisation for Economic Co-operation and Development (OECD). Describe the distribution of math scores.

    • Worked-Out Solution

      Sample answer:

      The box-and-whisker plot shows how spread out the scores are by quartile. The lowest and highest quartiles are more spread out than the middle quartiles. The lowest quartile is the most spread out and the lower middle quartile is the least spread out. The scores range from 419 to 487 in the lowest quartile, 487 to 496 in the lower middle quartile, 497 to 515 in the upper middle quartile, and 515 to 546 in the highest quartile.

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      _____      ___    __    __     ___      _____   
     / ____||   / _ \\  \ \\ / //   / _ \\   |__  //  
    / //---`'  | / \ ||  \ \/ //   / //\ \\    / //   
    \ \\___    | \_/ ||   \  //   |  ___  ||  / //__  
     \_____||   \___//     \//    |_||  |_|| /_____|| 
      `----`    `---`       `     `-`   `-`  `-----`  
                                                      
    
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  • 8. Political Spin on World Education Rankings

    The chart shows the world education rankings from the Organisation for Economic Co-operation and Development (OECD). How might a politician or policy maker use this chart?

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