Averages

  • Partial Means
    problem

    Partial means

    Age
    14 to 16
    Challenge level
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    From the mean of 64 numbers, and the mean of the first 36 of these numbers, can you work out the mean of the last 28 numbers?
  • For richer for poorer
    problem

    For richer for poorer

    Age
    14 to 16
    Challenge level
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    Charlie has moved between countries and the average income of both has increased. How can this be so?

  • Searching for mean(ing)
    problem

    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?

  • m, m and m
    problem

    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?

  • Rugby and Ballet
    problem

    Rugby and ballet

    Age
    11 to 14
    Challenge level
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    What is the average weight of five ballet dancers and ten rugby players?
  • Dopey Measurement
    problem

    Dopey measurement

    Age
    14 to 16
    Challenge level
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    How does Snow White need to change her result after the mix-up?
  • Average Surroundings
    problem

    Average surroundings

    Age
    14 to 16
    Challenge level
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    Can you work out Ali's age based on the diagram?
  • Stats statements
    problem

    Stats statements

    Age
    16 to 18
    Challenge level
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    Are these statistical statements sometimes, always or never true? Or it is impossible to say?

  • Average Discovery
    problem

    Average discovery

    Age
    14 to 16
    Challenge level
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    Find the missing number if the mean, median and mode are all the same.
  • Match the Matches
    problem

    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.