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May the best person win
How can people be divided into groups fairly for events in the Paralympics, for school sports days, or for subject sets?
Invent a scoring system for a 'guess the weight' competition.
Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?
Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?
Given the mean and standard deviation of a set of marks, what is the greatest number of candidates who could have scored 100%?