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General Mathematics · Unit 3 · Bivariate data analysis 2 · Association and causation

Solve practical problems by identifying, analysing and describing associations between two variables (categorical and/or numerical).

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Question 1

A local council surveyed 150 residents about their weekly exercise hours and whether they owned a pet. The data shows that residents who own pets exercise on average 3.2 hours per week, while residents without pets exercise on average 2.1 hours per week. Which statement correctly describes the association between pet ownership and weekly exercise hours?

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Question 2

A physiotherapy clinic surveyed 150 patients about their recovery time. The table below shows the relationship between the type of injury (acute or chronic) and whether patients recovered within 12 weeks. Determine whether there is an association between injury type and recovery time by calculating and comparing the percentages of acute-injury patients and chronic-injury patients who recovered within 12 weeks.

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Identify and communicate possible non-causal explanations for an association, including coincidence or the influence of another variable.
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