A collection of short Stage 3 problems on statistics.

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Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?

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Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?

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This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.

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If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

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Invent a scoring system for a 'guess the weight' competition.

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Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

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Find the frequency distribution for ordinary English, and use it to help you crack the code.

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Can you deduce which Olympic athletics events are represented by the graphs?

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Play around with sets of five numbers and see what you can discover about different types of average...

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With access to weather station data, what interesting questions can you investigate?

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How well can you estimate 10 seconds? Investigate with our timing tool.

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Which countries have the most naturally athletic populations?

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Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

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Can you decide whether these short statistical statements are always, sometimes or never true?

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If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?