Interpreting Box Plots: Variability (IQR) Comparisons Exercise

Interpreting Box Plots: Variability (IQR) Comparisons

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Interpreting Box Plots: Variability (IQR) Comparisons

Analyze box plots to compare the variability and interquartile ranges of different distributions. Use visual representations to determine which data set is more spread out.

Questions

  1. MultiChoice

    Box Plot A box extends from 10 to 20. Box Plot B box extends from 12 to 16. Which has the larger IQR?

  2. MultiChoice

    Plot 1: Q1=30, Q3=50. Plot 2: Q1=35, Q3=45. What is the difference between their IQRs?

  3. MultiChoice

    Box Plot X box width is 15 units. Box Plot Y box width is 25 units. Which data set is more spread out in the middle?

  4. MultiChoice

    Plot A IQR = 8, Plot B IQR = 8. Do they necessarily have the same overall range?

  5. MultiChoice

    If Plot 1 has Q1 = 5, Q3 = 15 and Plot 2 has Q1 = 10, Q3 = 30, which ratio compares IQR 2 to IQR 1?

  6. MultiChoice

    What does a longer box in a box plot represent?

  7. MultiChoice

    Plot A box length = 14, Plot B box length = 7. How do their middle 50% spreads compare?

  8. MultiChoice

    Plot X: Q1=100, Q3=140. Plot Y: Q1=110, Q3=130. Which has smaller variability in the middle 50%?

  9. MultiChoice

    If Plot A IQR is 12 and Plot B IQR is 4, how many times larger is Plot A IQR?

  10. MultiChoice

    What is the IQR of a box plot with Q1 = 18, Median = 22, Q3 = 28?

  11. MultiChoice

    Two distributions have IQRs of 6 and 18. What is the difference in their variability (IQR)?

  12. MultiChoice

    If Box Plot 1 has a wider box than Box Plot 2, what can we conclude about their IQR?