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Imagine you have a large supply of 3kg and 8kg weights. How many of each weight would you need for the average (mean) of the weights to be 6kg? What other averages could you have?
If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?
Carry out some time trials and gather some data to help you decide on the best training regime for your rowing crew.
How can people be divided into groups fairly for events in the Paralympics, for school sports days, or for subject sets?
Can you decide whether these short statistical statements are always, sometimes or never true?
Invent a scoring system for a 'guess the weight' competition.
Does weight confer an advantage to shot putters?
95% of people in Britain should live within 10 miles of the route of the Olympic Torch tour. Is this true?
This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.