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Featured UK Key Stages 3 & 4; US Grade 5-10
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Featured UK Key Stage 4 & 5; US Grade 11 & 12
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Very Old Man
Stage: 5
Challenge Level:
Why do this problem?
This
problem
provides an excellent scenario for making and testing statistical hypothesis. It can be attempted at a variety of levels of statistical sophistication ranging from making sense of the data to a full statistical analysis.
Possible approach
There is quite a lot of information in this problem to digest. Students might need to spend some time reading through the problem and making sense of the data. It would work best as a homework or task where students are given time to think about the problem and then to come up with their own analysis. Students could then compare their answers at a later time. From these, the concensus for a 'best' analysis might emerge.
Key questions
Before starting this problem, how might we organise or represent the data? Are you clear as to how we might test the hypothesis?
Possible extension
This question naturally raises its own extension: students might try to improve their answers by searching for more data on in the internet. pose their own questions, make their own hypothesis or pursue similar ideas through the materials on the Understanding Uncertainty site.
Possible support
Suggest students simply make plots of the life expectancy data and extrapolate these graphs.
Statistics generally
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physics
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chemistry
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Investigations
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Handling data
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biology
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Real world
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Mathematical modelling
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Experimental probability
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Sampling and hypothesis tests
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