Mathematics (9709) Paper 5 — Probability & Statistics 1

Selecting and evaluating statistical diagrams · Stem-and-leaf diagrams, box-and-whisker plots, histograms, cumulative frequency graphs · Measures of central tendency (mean, median, mode) and variation (range, IQR, standard deviation) · Using cumulative frequency graphs to estimate percentiles and proportions …

Permutations and combinations for selection problems · Arrangements in a line with repetition · Arrangements in a line with restrictions

Evaluating probabilities by enumeration or using permutations/combinations · Addition and multiplication laws of probability · Mutually exclusive and independent events · Conditional probability

Probability distribution tables; expectation E(X) and variance Var(X) · Binomial distribution B(n, p) and geometric distribution Geo(p) · Expectation and variance of the binomial distribution; expectation of the geometric distribution

Normal distribution as a model for continuous random variables · Solving normal distribution problems using standardisation (Z-score) · Normal approximation to the binomial distribution with continuity correction