Connect the ideas.
- Decide whether order matters before selecting a counting method.
- State whether repetition is allowed and whether items are distinguishable.
- Describe the population and sampling method before drawing a conclusion.
- Use a centre and spread together; check shape and unusual values.
- For this chapter, quartiles use the median-of-halves convention, excluding an odd sample median.
- Use sample standard deviation with denominator n−1 when estimating population spread.
- A normal model is continuous and symmetric; empirical-rule percentages are approximations.
Put it together.
Choose a paper and show your working.
Counting and statistics — Practice test 1
Begin with counting choices, then analyse a small survey and an introductory normal model. Show formulas and explain your choices.
10 questions · 45 marks · 60 minutes · Scientific calculatorCounting and statistics — Practice test 2
Apply restrictions, work from a frequency table and compare distributions. Normal cumulative values are supplied where needed.
10 questions · 50 marks · 65 minutes · Technology-assistedCounting and statistics — Applications test 3
Use counting and statistics to plan an event and judge operational data. State what each calculation counts and qualify the conclusions.
10 questions · 52 marks · 70 minutes · Technology-assistedCounting and statistics — Reasoning test 4
Explain methods, reverse calculations and challenge misleading conclusions. Supplied normal values may be used without further tables.
10 questions · 51 marks · 70 minutes · Technology-assistedCounting and statistics — Consolidation test 5
Connect counting, sampling and data summaries to a quality-control decision. Explain model assumptions and support comparisons numerically.
10 questions · 54 marks · 75 minutes · Technology-assisted
Curriculum reference & lesson scope
SACE Board of South Australia
Stage 1 Mathematics: counting, binomial expansion, data, samples, summary measures and introductory normal distributions. These lessons provide the Counting and Statistics strand of the approved Methods preparation route.
Official curriculum source ↗