A Level Further Statistics 1, Chapter 5 · exam-style questions with mark schemes · the central limit theorem for the sample mean, $\bar{X} \approx \mathrm{N}\left(\mu, \frac{\sigma^2}{n}\right)$ for large $n$, applied to Poisson, binomial, geometric, negative binomial, discrete uniform and other distributions; totals of observations, finding $n$, tests with the sample mean, and when the theorem is needed