Averages

  • problem
    Favourite

    Birdwatch

    Age
    7 to 11
    Challenge level
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    Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?

  • Match the Matches
    problem
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    Match the Matches

    Age
    7 to 11
    Challenge level
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    Decide which charts and graphs represent the number of goals two football teams scored in fifteen matches.
  • m, m and m
    problem
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    M, M and M

    Age
    11 to 14
    Challenge level
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    If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

  • problem
    Favourite

    How Would You Score It?

    Age
    11 to 14
    Challenge level
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    Invent a scoring system for a 'guess the weight' competition.

  • About Average
    problem
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    About Average

    Age
    11 to 14
    Challenge level
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    Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

  • Half a minute
    problem
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    Half a Minute

    Age
    11 to 14
    Challenge level
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    Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?

  • Unequal Averages
    problem
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    Unequal Averages

    Age
    11 to 14
    Challenge level
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    Play around with sets of five numbers and see what you can discover about different types of average...

  • Litov's Mean Value Theorem
    problem
    Favourite

    Litov's Mean Value Theorem

    Age
    11 to 14
    Challenge level
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    Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

  • Statistical shorts
    problem
    Favourite

    Statistical Shorts

    Age
    11 to 16
    Challenge level
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    Can you decide whether these short statistical statements are always, sometimes or never true?

  • Searching for mean(ing)
    problem
    Favourite

    Searching for Mean(ing)

    Age
    11 to 16
    Challenge level
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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?