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Very Old Man

Age 16 to 18
Challenge Level Yellow star
  • Problem
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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.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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