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Statistical Investigations: Level 6

The key idea of statistical investigations at level 6 is telling a story about a wider universe, taking variation and uncertainty into account, with supporting evidence.

Students are consolidating and refining their ideas about different aspects of the PPDAC (Problem, Plan, Data, Analysis, Conclusion) cycle.  Key transitions at this level include the integration of statistical and contextual knowledge to answer the investigative questions and making informal inferences about populations from samples. 

Students should be justifying variables and measures used in the data collection phase and thinking about the possible underlying population distributions for the variables of interest.

In the analysis phase students should be using multiple displays to show different features of the sample distributions.  Key features of the sample distributions should be discussed; integrating statistical and contextual information.  Students will confidently be using informal methods to make comparisons about populations using sample distributions including reasoning about shift, overlap, sampling variability and sample size. 

Students should be reflecting on their findings and how this fits with real world experiences.

This key idea develops from the key idea of statistical investigations at level 5 where students are telling a story about a wider universe with supporting evidence.

This key idea is extended in the key idea of statistical investigations at level 7 where students are telling a story about a wider universe, considering sampling variability and sample size effects.