Form 9: Comparing IQR and MAD (Measures of Variability) Exercise

Form 9: Comparing IQR and MAD (Measures of Variability)

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Form 9: Comparing IQR and MAD (Measures of Variability)

Compare interquartile range and mean absolute deviation as two distinct measures of variability.

Questions

  1. MultiChoice

    Both IQR and MAD are measures of what statistical property?

  2. MultiChoice

    Which measure of variability uses the median as its reference center?

  3. MultiChoice

    Which measure of variability uses the mean as its reference center?

  4. MultiChoice

    Which measure of variability is less affected by extreme outliers?

  5. MultiChoice

    Data Set A has IQR = 5 and Data Set B has IQR = 12. Which set has greater variability in its middle 50%?

  6. MultiChoice

    Team A has MAD = 1.5 and Team B has MAD = 4.2. Which team's scores are more consistent?

  7. MultiChoice

    If a dataset's values are: 10, 10, 10, 10, 10, what are its IQR and MAD?

  8. MultiChoice

    Class 1 has MAD = 2.1 and Class 2 has MAD = 5.8. Which class has test scores spread further from the mean?

  9. MultiChoice

    When describing a skewed data set, which pair of center and spread measures is best to use?

  10. MultiChoice

    When describing a symmetric data set without outliers, which pair is typically preferred?

  11. MultiChoice

    For the data set 2, 4, 6, 8, 10, find both IQR and MAD.

  12. MultiChoice

    What does a MAD of zero indicate about a dataset?