In a range of meaningful contexts, students will be engaged in thinking mathematically and statistically. They will solve problems and model situations that require them to:
Statistical investigation
S8-1: Carry out investigations of phenomena, using the statistical enquiry cycle:
- conducting experiments using experimental design principles, conducting surveys, and using existing data sets;
- finding, using, and assessing appropriate models (including linear regression for bivariate data and additive models for time-series data), seeking explanations and making predictions;
- using informed contextual knowledge, exploratory data analysis, and statistical inference;
- communicating findings and evaluating all stages of the cycle.
Read about this AO in the Senior Secondary Curriculum Guide on TKI.
S8-2: Make inferences from surveys and experiments:
- determining estimates and confidence intervals for means, proportions, and differences, recognising the relevance of the central limit theorem;
- using methods such as resampling or randomisation to assess the strength of evidence.
Read about this AO in the Senior Secondary Curriculum Guide on TKI.
Statistical literacy
S8-3: Evaluate a wide range of statistically based reports, including surveys and polls, experiments and observational studies:
- critiquing causal-relationship claims;
- interpreting margins of error.
Read about this AO in the Senior Secondary Curriculum Guide on TKI.
Probability
S8-4: Investigate situations that involve elements of chance:
- calculating probabilities of independent, combined, and conditional events;
- calculating and interpreting expected values and standard deviations of discrete random variables;
- applying distributions such as the Poisson, binomial, and normal.
Read about this AO in the Senior Secondary Curriculum Guide on TKI.