Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
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.
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.
This is an extended challenge suitable for keen groups or individuals, maths clubs and optional homework challenges.
With a very enthusiastic class you might wish to collectively discuss possible approaches to this difficult problem and suggest an experimental (i.e with a computer or spreadsheet) approach to the students if they wish to try it in their own time.