Probability, discrete and continuous random variables, the binomial and normal distributions, and bivariate analysis.
These are the statements the Mathematics Advanced syllabus makes about Statistical Analysis. Dux records each one against the questions you answer, so you can see which of them you have actually been tested on and which have never been asked.
Venn diagrams, tree diagrams, conditional probability and independence, and the multiplication rule for dependent events.
Probability distributions, expected value and variance, and interpreting the mean as a long-run average.
The conditions for a binomial setting, and computing probabilities and the expected count from n and p.
Density functions, and probability as area, which is why a single exact value has probability zero.
Standardising with z-scores, the empirical rule, and comparing observations from different distributions.
Scatterplots, the correlation coefficient, line of best fit by eye and by least squares, and the difference between correlation and causation.
HSC Mathematics Advanced - Trial Paper Shape is 100 marks in 180 minutes. Questions on Statistical Analysis are not one shape repeated: the command word decides what the marker is looking for, and the mark value decides how much of it. These are the ones Mathematics Advanced uses.
Dux writes practice for this module in exactly these shapes, so the drill is the same task the paper sets — not a general knowledge quiz with the module name on it.
Statistical Analysis is module 5 of 5 in Mathematics Advanced. Students routinely lose marks because a question spans two modules, so the neighbouring modules are worth reading next to this one.
Dux diagnoses Mathematics Advanced dot point by dot point, then writes questions in the shape this course marks. Written answers come back marked against the bands.