Study Guide
Bivariate Data: Correlation and Lines of Best Fit
An HSC/VCE-style study guide to analysing two numerical variables: describing scatterplots, interpreting Pearson's r and the coefficient…
- Difficulty
- Level 3 · Challenge
- Time
- 25 min
Free Year 12 Statistics Worksheets
2 free statistics resources for Year 12: 2 study guides. Answers included.
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Data analysis, distributions, correlation and the normal distribution. In Year 12, Year 12 is the final year, assessed for the HSC, VCE, QCE, WACE, SACE or equivalent.
Students will practise: describing the direction, form and strength of association on a scatterplot and interpreting Pearson's r; calculating the least-squares regression line from summary statistics or raw data; interpreting the slope, intercept and coefficient of determination in context; using the line to predict, calculating residuals and recognising the risk of extrapolation; calculating z-scores with z = (x − μ) ÷ σ and converting back to raw scores; comparing scores from different distributions using z-scores; applying the 68–95–99.7 (empirical) rule; finding probabilities and percentiles for a normal distribution using a table or calculator.
Recommended learning path
Study Guides
Clear explanations, examples and tips.
- Study Guide
The Normal Distribution and z-scores
An HSC/VCE-style study guide to the bell curve: calculating z-scores, comparing results from different tests, using the 68–95–99.7 rule,…
- Difficulty
- Level 3 · Challenge
- Time
- 25 min
Common questions
What do Year 12 students learn about statistics?
Data analysis, distributions, correlation and the normal distribution. At Year 12, our resources focus on: describing the direction, form and strength of association on a scatterplot and interpreting Pearson's r; calculating the least-squares regression line from summary statistics or raw data; interpreting the slope, intercept and coefficient of determination in context; using the line to predict, calculating residuals and recognising the risk of extrapolation.
Where should we start?
Read the study guide first, then start with the Level 1 or Level 2 worksheet. Finish with the topic test.
Are answers included?
Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.
How to use these resources
- Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
- Use the answer sheet's working, not just the final answer, to check the method.
- Finish a topic with the topic test to see whether the skill is secure.
- Two or three short sessions a week beat one long one.
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