5.1Representation of Data
Choosing and reading statistical diagrams; mean, median and standard deviation.
5 sub-topics · Selecting and evaluating statistical diagrams · Stem-and-leaf diagrams, box-and-whisker plots, histograms, cumulative frequency graphs …
5.2Permutations and Combinations
Counting arrangements and selections, with repetition and restrictions.
3 sub-topics · Permutations and combinations for selection problems · Arrangements in a line with repetition …
5.3Probability
The addition and multiplication laws, independence and conditional probability.
4 sub-topics · Evaluating probabilities by enumeration or using permutations/combinations · Addition and multiplication laws of probability …
5.4Discrete Random Variables
Probability distributions, expectation and variance, binomial and geometric.
3 sub-topics · Probability distribution tables; expectation E(X) and variance Var(X) · Binomial distribution B(n, p) and geometric distribution Geo(p) …
5.5The Normal Distribution
Standardising, reading the tables backwards, and the normal approximation to the binomial.
3 sub-topics · Normal distribution as a model for continuous random variables · Solving normal distribution problems using standardisation (Z-score) …