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The Mean Game

Edward Wallace based his A Level Statistics Project on The Mean Game. Each picks 2 numbers. The winner is the player who picks a number closest to the mean of all the numbers picked.

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Epidemic Modelling

Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.

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Very Old Man

Is the age of this very old man statistically believable?

The Monte Carlo Method

Age 16 to 18 Challenge Level:

A basic method might be to take a set of random samples, and work out the mean proportion of red squares that are covered by the shape. The area of the shape should be approximately this proportion of the area of the main square.

How many random samples need to be taken in order to get an accurate result? Are the areas of some shapes more easily estimated by this method than others? Can you think of a better method?

This is an open ended problem, and we encourage you to send in your different ideas and results.