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Counting Fish

Age 14 to 16
Challenge Level Yellow star
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Image (c) iStockphoto.com
 
 
 

I need a figure for the fish population in a lake.

I catch 40 fish and mark a scale on each fish so that they can be identified if caught again.

The fish are then released and one week later I once more catch 40 fish and look to see which of these I caught before.

How does this help me come up with a figure for the fish population in a lake?

What assumptions does this method of estimating the fish population rely on?
How do you think you could improve the accuracy of your estimate?



Click here for a poster of this problem.


This resource is part of the collection Statistics - Maths of Real Life

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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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