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Example 3: Bootstrap intuition - Mean vs Median

Students tasks

Task A : Descriptive stats

  • Compute and report: mean, median, SD, IQR, five-number
  • Plot (histogram and boxplot)
  • Identify outlier using the 1.5IQR rule

Task B: Sampling variability

  • using the provided population, run repeated samplings for n=30, 50,100
  • Plot the sampling distribution (3 histograms)
  • Make a table with the empirical standard error (SD) vs n size

Task C: Bootstrap mean vs median

  • Bootstrap (resample with replacement from data) the mean and median (B=5000) for dataset with outliers (*)
  • Plot both bootstrap distributions
  • Compute 95% percentils CIs for the mean and median
  • Repeat after removing the the outliers and compare:
    • Which statistics changes more (mean or median)?
    • Which bootstrap distribution is wider, and why?
  • Texto
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