Investigating data distributions
	Types of Data
	Displaying and describing the distributions of categorical variables
	Displaying and describing numerical data
	Dot plots and stem plots
	Using a logarithm (base 10) scale to display data
	Measures of centre and spread
	The five-number summary and the box plot
	The normal distribution and the 68–95–99.7% rule
	Populations and samples
Investigating associations between two variables
	Investigating associations between categorical variables
	How to interpret a scatterplot
	Strength of a linear relationship: The Correlation Coefficient
	The coefficient of determination
	Correlation and causality
	Which graph?
	Bivariate data - Classifying the variables
	Investigating associations between two numerical variables
	Investigating the association between a numerical and a categorical variable
Investigating and modelling linear associations
	Fitting a least squares regression line to numerical data
	Using the least squares regression line to model a relationship between two numerical variables
	Conducting a regression analysis using data
Data transformation
	The squared transformation
	The log transformation
	The reciprocal transformation
	Choosing and applying the appropriate transformation
Investigating and modelling time series
	Fitting a trend line and forecasting
	Seasonal indices
	Smoothing a time series using moving means
	Smoothing a time series plot using moving medians
	Time series data
Modelling growth and decay using recursion
	Sequences and recurrence relations
	Modelling linear growth and decay
	Using an explicit rule for linear growth and decay
	Modelling geometric growth and decay
	Using an explicit rule for geometric growth or decay
	Interest rates over different time periods and effective interest rates
Reducing balance loans, annuities and investments
	Combining linear and geometric growth or decay to model compound interest investments
	Using recurrence relations to analyse and model reducing balance loans and annuities
	Amortisation tables
	Analysing financial situations using amortisation tables
	Using a finance solver to find the balance and final payment
	Using a finance solver to find interest rates, time taken and regular payments
	Interest-only-loans
	Perpetuities
Matrices
	What is a matrix?
	Using matrices to represent information
	Matrix arithmetic: addition, subtraction and scalar multiplication
	Matrix arithmetic: the product of two matrices
	Matrix inverse, the determinant and matrix equations
	Binary, permutation and communication matrices
	Dominance Matrices
Transition matrices and Leslie matrices
	Transition matrices - setting up a transition matrix
	Interpreting transition matrices
	Transition matrices - using recursion
	Transition matrices - using the rule
	Leslie matrices
Graphs, networks and trees: travelling and connecting problems
	Graphs and networks
	Adjacency matrices
	Exploring and travelling
	Weighted graphs and networks
	Dijkstra's algorithm
	Trees and minimum connector problems
Flow, matching and scheduling problems
	Flow problems
	Matching and allocation problems (Updated 2024)
	Precedence tables and activity networks
	Scheduling problems (Updated)
	Crashing (Updated)