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Descriptive Statistics
Data types, sampling, averages, spread, histograms, box plots and outliers.
Linear Regression & Correlation
Scatter diagrams, Pearson correlation, regression models, Spearman ranks and predictions.
Probability · Venn Diagrams & Tables
Set notation, probability rules, Venn diagrams, two-way tables and conditional probability.
Probability · Tree Diagrams
Conditional and independent events, multiple stages, replacement and decision problems.
Discrete Probability Distributions
Probability tables, expectation, fair games, discrete models and applied decisions.
Binomial Distribution
Binomial conditions, exact and cumulative probabilities, mean, variance and modelling.
Normal Distribution
Normal curves, inverse normal, standard deviation, probabilities and applications.
Chi-Squared Tests
Goodness-of-fit, independence, expected counts, p-values and conclusions.
Hypothesis Tests for Two Means
One- and two-tailed pooled t-tests, p-values, assumptions and conclusions.