M4 - Sampling Distributions

By the end of this module, you should be able to:

  • Describe how sampling distributions reflect the distribution of statistics from different samples of data,
  • Describe the long run behaviour of the distribution of averages of outcomes of random experiments, including both proportions and sample means,
  • Connect the variability in the original measurements to the variability in the sample mean,
  • Explain why the normal distribution plays an important role in statistics.

Topics covered in this module

Learning resources:

  1. The Distribution of a Sample Mean: Mean and Variance (interactive app)
  2. ‎The Distribution of a Sample Mean Part 1 (video)
  3. The Distribution of a Sample Mean: Shape (interactive app)
  4. The Distribution of a Sample Mean Part 2 (video)
  5. The Long Run Distribution of a Proportion (video)
  6. The Mean and Variance of a Proportion (video)
  7. Sampling Distributions (video)