Form 13: Comparing Data Sets Using Median and IQR Exercise

Form 13: Comparing Data Sets Using Median and IQR

10 minutes 3 views 0 saves EN
Send as Assignment
Form 13: Comparing Data Sets Using Median and IQR

Compare and contrast data sets by examining their median and interquartile range.

Questions

  1. MultiChoice

    Set A: Median = 25, IQR = 4. Set B: Median = 25, IQR = 12. Which set has a wider spread in its middle 50%?

  2. MultiChoice

    School X reading hours: IQR = 3. School Y reading hours: IQR = 7. Which school has more consistent middle 50% reading hours?

  3. MultiChoice

    Data Set 1: Q1 = 10, Q3 = 20 (IQR = 10). Data Set 2: Q1 = 15, Q3 = 20 (IQR = 5). Which statement is true?

  4. MultiChoice

    Why is IQR often preferred over Range when comparing datasets with extreme values?

  5. MultiChoice

    Box plot A box length is 10 units. Box plot B box length is 4 units. Which box plot has a larger IQR?

  6. MultiChoice

    Dataset M: Q1 = 5, Q3 = 15. Dataset N: Q1 = 20, Q3 = 30. Compare their IQRs.

  7. MultiChoice

    If Dataset 1 has IQR = 14 and Dataset 2 has IQR = 7, what is the ratio of Dataset 1's IQR to Dataset 2's IQR?

  8. MultiChoice

    Two test distributions show: Class 1 Median = 80, IQR = 6. Class 2 Median = 80, IQR = 15. What can you conclude?

  9. MultiChoice

    What fraction of the total data points fall outside the Interquartile Range?

  10. MultiChoice

    Sample A: Q1 = 12, Q3 = 18. Sample B: Q1 = 10, Q3 = 22. What is the difference between their IQRs?

  11. MultiChoice

    If a data set is modified by adding 5 to every value, what happens to its IQR?

  12. MultiChoice

    If a data set is modified by multiplying every value by 2, what happens to its IQR?