VCE Specialist Mathematics Area of Study 6: Data analysis, probability and statistics

Past VCAA exam questions for VCE Specialist Mathematics Area of Study 6: Data analysis, probability and statistics, sorted by difficulty and filterable by topic, year and question type.

103 past VCAA questions, 2016–2025.

Topics in this area of study

• Approximate normality for large n
• Confidence intervals using population standard deviation
• Confidence intervals using sample standard deviation
• Distribution of the sample mean
• Errors in terms of conditional probability
• Expected value of linear combinations
• Interpretation of confidence levels
• Interpretation of test results
• Level of significance and p-value
• Linear combinations with real coefficients
• Mean of sum of random variables
• Normality of linear combinations
• Null and alternative hypotheses
• One-tail and two-tail tests
• Sample mean as random variable
• Test statistic formulation
• Testing with known population variance
• Variance of linear combinations
• Variance of sum of random variables