Comprehensive Practice: Median and IQR Comparisons Exercise

Comprehensive Practice: Median and IQR Comparisons

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Comprehensive Practice: Median and IQR Comparisons

Apply skills in analyzing medians and interquartile ranges across mixed scenario problems. Practice comparing center and variability in a comprehensive review.

Questions

  1. MultiChoice

    When comparing two populations using box plots, what two main characteristics should be compared?

  2. MultiChoice

    Population 1 median = 50, IQR = 10. Population 2 median = 60, IQR = 10. Difference in medians is:

  3. MultiChoice

    In Population 1 vs Population 2 above, median difference (10) expressed as a multiple of IQR (10) is:

  4. MultiChoice

    Distribution A: Q1=20, Median=30, Q3=40. Distribution B: Q1=25, Median=35, Q3=45. Calculate IQRs.

  5. MultiChoice

    Dataset X: Median = 100, IQR = 15. Dataset Y: Median = 70, IQR = 30. Which dataset has a higher center?

  6. MultiChoice

    Dataset X: Median = 100, IQR = 15. Dataset Y: Median = 70, IQR = 30. Which dataset has greater spread in middle 50%?

  7. MultiChoice

    If two box plots have non-overlapping boxes (Q3 of lower plot < Q1 of higher plot), what does this indicate?

  8. MultiChoice

    Dataset 1 median = 12, IQR = 3. Dataset 2 median = 21, IQR = 3. Difference in medians / IQR = ?

  9. MultiChoice

    Why is the median preferred over the mean for skewed data distributions?

  10. MultiChoice

    Why is IQR preferred over Range for skewed data distributions?

  11. MultiChoice

    Data Set A median = 44, Data Set B median = 38. Difference in medians?

  12. MultiChoice

    Data Set A IQR = 14, Data Set B IQR = 7. Ratio of IQR A to IQR B?