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Understanding Misleading Statistics & Graphs Lesson

Learn to identify when statistics and graphs are misleading by analyzing examples and explanations. Develop critical thinking skills and avoid common pitfalls in data interpretation.

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Understanding Misleading Statistics & Graphs Lesson

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  1. Transparency 8 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 8-3c Objective Recognize when statistics and graphs are misleading

  4. Example 8-3c Vocabulary No new vocabulary

  5. Lesson 8 Contents Example 1Drawing Conclusions from Graphs Example 2Changing the Interval of Graphs

  6. Graph A Graph B Example 8-1a GEOGRAPHY Refer to the graphs below. Which graph suggests that the nation of Bahrain is about twice as large as the nation of Andorra? Explain. 1/2

  7. Graph A Graph B Example 8-1a Answer: In Graph A, Bahrain appears to be about twice as big as Andorra. Because the scale on the vertical axis is different 1/2

  8. Example 8-1c Refer to the graphs below. Which graph suggests that boys spend twice as much money each month on sporting equipment as girls? Explain. 1/2

  9. Example 8-1d Answer: In Graph B, the bar for boys’ spending indicates that boys spend about twice as much as girls spend. The vertical scale is not consistent 1/2

  10. Graph A Graph B Example 8-2a ECONOMICS The graphs show U.S. exports to Ireland. Which shows that exports increased more rapidly? Explain. Compare the steepness of the slope 2/2

  11. Graph A Graph B Example 8-2a ECONOMICS The graphs show U.S. exports to Ireland. Which shows that exports increased more rapidly? Explain. Answer: Slope A is steeper than Slope B so increased more rapidly because the scale is by 1’s on Graph A is smaller than Graph B 2/2

  12. Example 8-2c SALES The graphs show the total sales of a retail shop over a period of years. Which graph makes it appear that the sales have increased more rapidly? Explain. Answer: The slope on Graph B is steeper because it uses smaller intervals 2/2

  13. End of Lesson 8 Assignment

  14. Example 8-3a BUSINESS A business says that its average employee makes $71,000 a year. Look at the list and explain how using this average to attract employees is misleading. mean: $71,000 median: $30,000 mode: none 3/3

  15. Example 8-3b Answer: The average used by the business was the mean. While the mean salary is $71,000 a year, the median salary is $30,000. So, the median is a better reflection of a typical salary, especially at the entry level. 3/3

  16. Example 8-3c * HOUSING PRICES A real estate agent says that the average home price in a particular community is $171,400. Look at the list and explain how using this average makes this community look more attractive to home buyers. House Prices$175,000, $195,000, $230,000, $205,000, $52,000 Answer: The average used was the mean. While the mean house price is $171,400, the median house price is $195,000. So, the median house price is a better reflection of a typical house price in this community. 3/3

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