Averages

  • 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?
  • Bat Wings
    problem

    Bat wings

    Age
    11 to 14
    Challenge level
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    Two students collected some data on the wingspan of bats, but each lost a measurement. Can you find the missing information?
  • Grandpa's Rock Cakes
    problem

    Grandpa's rock cakes

    Age
    11 to 14
    Challenge level
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    Grandpa made a super-heavy rock cake. Five people have guessed the weight of the cake. Can you work out the weight of his cake?
  • Marathon Mission
    problem

    Marathon mission

    Age
    14 to 16
    Challenge level
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    Minnie trained more for the London Marathon this year, so her speed increased. By what percentage did her time decrease?
  • PDF
    problem

    PDF

    Age
    16 to 18
    Challenge level
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    Given a probability density function find the mean, median and mode of the distribution.

  • problem

    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

    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

    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

    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

    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?