Form 10: Box Plots and Population Variability Exercise

Form 10: Box Plots and Population Variability

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Form 10: Box Plots and Population Variability

Examine box plots to analyze variability across population samples. Compare measures of spread and center to evaluate sample data.

Questions

  1. MultiChoice

    Box Plot A has a median line at 80. Box Plot B has a median line at 65. What inference is supported?

  2. MultiChoice

    Which measure of variability is represented by the box length in a box plot?

  3. MultiChoice

    Sample X box plot has Q1 = 10, Q3 = 25 (IQR = 15). Sample Y has Q1 = 12, Q3 = 18 (IQR = 6). Compare variability.

  4. MultiChoice

    What percentage of the sample data lies within the box (between Q1 and Q3) of a box plot?

  5. MultiChoice

    Box plot 1: Median = 85, Range = 15. Box plot 2: Median = 75, Range = 35. What inference can be made about Class 1 compared to Class 2?

  6. MultiChoice

    In a box plot, Q1 = 40 and Q3 = 55. What is the Interquartile Range (IQR)?

  7. MultiChoice

    If the boxes in two side-by-side box plots overlap almost entirely, what does this indicate about the populations?

  8. MultiChoice

    A box plot of student ages shows Minimum = 11, Q1 = 12, Median = 13, Q3 = 14, Maximum = 15. What is Q3?

  9. MultiChoice

    How is the median displayed on a standard box plot?

  10. MultiChoice

    Group A box plot: Median = 5 cm, IQR = 2 cm. Group B box plot: Median = 9 cm, IQR = 5 cm. Compare the two groups.

  11. MultiChoice

    What does the total length from whisker tip to whisker tip represent in a box plot?

  12. MultiChoice

    Store 1 box plot: Median = 4.5, IQR = 0.5. Store 2 box plot: Median = 3.0, IQR = 2.0. Infer customer satisfaction.