BC Math 9 Statistics in Society

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  • Population versus sample, bias, ethics, sampling techniques, misleading stats
  • Analyzing a given set of data (and / or its representation) and identifying potential problems related to bias, use of language, ethics, cost, time and timing, privacy, or cultural sensitivity
  • Using First Peoples data on water quality, Statistics Canada data on income, health, housing, population
  1. What is the mean of 2, 4, and 9?
    Solution
  2. What is the average of 1, 3, 8, and 20?
    Solution
  3. 2,5,k2, 5, k
    Given the mean is 6, find kk
    Solution
  4. 1,2,11,n1, 2, 11, n
    Given the average is 7, find nn
    Solution
  5. Find the median of the following numbers:
    1. 1, 2, 4, 10, 50, 1000, 999999?
      Solution
    2. 2, 10, 20, 5000?
      Solution
    3. 5,1,2,100-5, 1, 2, 100
      Solution
    4. 1000-1000, 500, 100, 200
      Solution
    5. 20,0,100,50,1000-20, 0, 100, 50, -1000
      Solution
  6. When conducting a survey, why do we poll a sample instead of the entire population?
  7. Solution
  8. Give an example of statistical bias.
    Solution
  9. Is it ethical to misrepresent data in statistical research?  Why are some researchers tempted to do so?
    Solution
  10. Why did Mark Twain write “There are lies, damn lies, and statistics.”  To answer this research the phrase “how can statistics lie.”
    Solution
  11. Provide two examples of sampling techniques.
    Solution
  12. Is the Canadian census mandatory?  What are the pros and cons of this policy?
    Solution
  13. What is the unemployment rate for Canadians?
    Solution
  14. How does the youth unemployment rate compare?
    Solution
  15. What is the U-6 unemployment rate?
    Solution
  16. What does it mean that the median household income in BC is $70,000?
    Solution
  17. Floyd Mayweather made $285 million in the year 2018.  If there are 10 boxers at Floyd’s gym, estimate the average salary of each boxer.
    Solution
  18. Research a career on using “payscale Canada”.  What is the meaning of the quartile percentages?
    Solution
  19. How can you succeed in your profession of choice?
    Do what you are good at and enjoy
  20. In Statistics, describe two good sampling principles to improve survey accuracy.
    Solution

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