Elaborations on Level Seven: Statistics

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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

S7-1: Carry out investigations of phenomena, using the statistical enquiry cycle:

 

  • conducting surveys that require random sampling techniques, conducting experiments, and using existing data sets;
  • evaluating the choice of measures for variables and the sampling and data collection methods used;
  • using relevant contextual knowledge, exploratory data analysis, and statistical inference.

 

Read about this AO in the Senior Secondary Curriculum Guide on TKI.

 

S7-2: Make inferences from surveys and experiments:

  • making informal predictions, interpolations, and extrapolations
  • using sample statistics to make point estimates of population parameters
  • recognising the effect of sample size on the variability of an estimate.

Read about this AO in the Senior Secondary Curriculum Guide on TKI.

 

Statistical literacy

S7-3: Evaluate statistically based reports:

  • interpreting risk and relative risk
  • identifying sampling and possible non-sampling errors in surveys, including polls.

Read about this AO in the Senior Secondary Curriculum Guide on TKI.

 

Probability

S7-4: Investigate situations that involve elements of chance:

  • comparing theoretical continuous distributions, such as the normal distribution, with experimental distributions
  • calculating probabilities, using such tools as two-way tables, tree diagrams, simulations, and technology.

Read about this AO in the Senior Secondary Curriculum Guide on TKI.