Course: Year 12 Mathematics Advanced

Statistical Analysis

A staged pathway through data displays, summary statistics, standard deviation, z-scores, correlation, regression, residuals, normal distribution ideas, and random variables.

Active lessons

7

Planned lessons

7

Lesson sequence

Learn -> Guided Practice -> Independent Practice -> Mastery Quiz

How to use this unit

  • Start with centre, spread, and outliers before z-scores.
  • Use the worked examples to connect calculations to context.
  • Use multiple-choice interpretation questions to catch wording traps.
  • Return to summary statistics when regression or normal questions feel unclear.

What this unit covers

Data displays
Summary statistics
Outliers
Box plots and five-number summaries
Standard deviation
Z-scores and standardised values
Correlation
Least-squares regression
Residuals
Normal distribution and empirical rule
Random variables and probability distributions

Unit pathway

Lesson pathway

7 of 7 active

1

Lesson 1

Data Displays, Summary Statistics, and Outliers

Summarise data using centre, spread, five-number summaries, and outlier-aware interpretation.

Active
2

Lesson 2

Standard Deviation, Z-Scores, and Standardised Values

Use standard deviation and z-scores to interpret and compare standardised values.

Active
3

Lesson 3

Correlation and Least-Squares Regression

Describe association, interpret correlation, and use least-squares regression lines for prediction.

Active
4

Lesson 4

Interpreting Association and Residuals

Interpret association, residuals, and the limitations of linear models.

Active
5

Lesson 5

Normal Distribution and Empirical Rule

Use normal distribution ideas, z-scores, and the empirical rule to interpret data.

Active
6

Lesson 6

Mixed Statistical Analysis Exam Practice

Practise mixed exam-style questions involving summary statistics, z-scores, correlation, regression, residuals, and normal distributions.

Active
7

Part of the Online Learning Package

This unit is part of the Nova Maths online learning package. The lesson pathway is available for preview, and full access requires an active online learning subscription.

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