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.
Learning resources:
- The Distribution of a Sample Mean: Mean and Variance (interactive app)
- The Distribution of a Sample Mean Part 1 (video)
- The Distribution of a Sample Mean: Shape (interactive app)
- The Distribution of a Sample Mean Part 2 (video)
- The Long Run Distribution of a Proportion (video)
- The Mean and Variance of a Proportion (video)
- Sampling Distributions (video)