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.