Expressing Difference in Medians as a Multiple of IQR Exercise

Expressing Difference in Medians as a Multiple of IQR

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Expressing Difference in Medians as a Multiple of IQR

Calculate the difference between two medians and express it as a multiple of the interquartile range. Measure the relative shift between distributions using this ratio.

Questions

  1. MultiChoice

    Median A = 45, Median B = 35. Both have IQR = 5. What is (Median A - Median B) / IQR?

  2. MultiChoice

    Median 1 = 100, Median 2 = 80. Common IQR = 10. Express median difference as multiple of IQR.

  3. MultiChoice

    Median X = 18, Median Y = 12. Both have IQR = 4. What is the ratio of difference in medians to IQR?

  4. MultiChoice

    Group A median = 50, Group B median = 40. Common IQR = 20. Ratio of difference in medians to IQR?

  5. MultiChoice

    If difference between medians is 12 and common IQR is 3, how many IQRs separate the medians?

  6. MultiChoice

    If difference between medians is 6 and common IQR is 12, what fraction of IQR is the difference?

  7. MultiChoice

    Sample 1 median = 90, Sample 2 median = 75. Common IQR = 15. Calculate (90 - 75) / 15.

  8. MultiChoice

    Data Set A median = 25, Data Set B median = 10. Common IQR = 5. Calculate difference in medians / IQR.

  9. MultiChoice

    Why do statisticians express the difference in medians as a multiple of IQR?

  10. MultiChoice

    Class 1 median = 84, Class 2 median = 78. Common IQR = 6. Express difference as multiple of IQR.

  11. MultiChoice

    Store A median = 200, Store B median = 170. Common IQR = 30. (200 - 170) / 30 = ?

  12. MultiChoice

    If difference in medians is 25 and common IQR is 10, how many IQRs separate the medians?