Support · Mathematics Extension 1 11–12 – Year 12 · The binomial distribution and sampling distribution of the mean
Support Recognise that sample mean, X̅, is a random variable that estimates the population mean, μ, when the size of the sample is large enough and consider its usefulness in making predictions in a variety of contexts including politics, finance, agriculture and biology
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
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Prerequisite dot points
Recognise the mean, or expected value, μ or E(X), of a discrete random variable X as a measure of centre for its distribution
Mathematics Advanced 11–12 – Year 12 · Random variables Draft mapping
No checked resources on this prerequisite dot point yet.
Use the notation X∼N(μ,σ²) to represent a normally distributed random variable that has mean μ and standard deviation σ
Mathematics Advanced 11–12 – Year 12 · Random variables Draft mapping
No checked resources on this prerequisite dot point yet.
Distinguish between a standard normal distribution with mean 0 and standard deviation 1, and the non-standard normal distribution with mean μ and standard deviation σ
Mathematics Advanced 11–12 – Year 12 · Random variables Draft mapping
No checked resources on this prerequisite dot point yet.