Overlapping Distributions and Center/Spread Exercise

Overlapping Distributions and Center/Spread

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Overlapping Distributions and Center/Spread

Explore how overlapping data distributions compare in their center and spread. Analyze the degree of overlap to evaluate comparative characteristics of data sets.

Questions

  1. MultiChoice

    Two distributions have medians 50 and 52, both with IQR = 10. How much overlap do they have?

  2. MultiChoice

    Distribution 1: Median = 20, IQR = 2. Distribution 2: Median = 40, IQR = 2. How do they compare?

  3. MultiChoice

    What is the difference between medians of Data Set A (median=80) and Data Set B (median=60)?

  4. MultiChoice

    Express the difference in medians (20) as a multiple of their common IQR (10).

  5. MultiChoice

    If difference in medians is 15 and IQR is 5, how many IQRs apart are the medians?

  6. MultiChoice

    When two distributions have a large overlap in box plots, what does it mean?

  7. MultiChoice

    Distribution X median = 100, IQR = 15. Distribution Y median = 105, IQR = 15. Difference in medians?

  8. MultiChoice

    In Distribution X vs Y above, express median difference (5) as a fraction of IQR (15).

  9. MultiChoice

    Two data sets have medians 30 and 50, both with IQR = 5. Difference in medians as multiple of IQR?

  10. MultiChoice

    If difference in medians is 0, what can be said about the centers of the two distributions?

  11. MultiChoice

    Group 1 median = 70, IQR = 8. Group 2 median = 74, IQR = 8. Difference in medians?

  12. MultiChoice

    For Group 1 and Group 2 above, difference in medians (4) divided by IQR (8) is: