Averages

  • Statistical shorts
    problem

    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

    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?

  • Wipeout
    problem

    Wipeout

    Age
    11 to 16
    Challenge level
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    Can you do a little mathematical detective work to figure out which number has been wiped out?

  • Mediant madness
    problem

    Mediant madness

    Age
    14 to 16
    Challenge level
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    Kyle and his teacher disagree about his test score - who is right?
  • 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?

  • Handling Data - Short Problems
    problem

    Maximum mean

    Age
    14 to 16
    Challenge level
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    What is the largest that the mean of these numbers could be?

  • Handling Data - Short Problems
    problem

    Changing averages

    Age
    14 to 16
    Challenge level
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    Find the value of $m$ from these statements about a group of numbers

  • David and Goliath
    problem

    David and Goliath

    Age
    14 to 18
    Challenge level
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    Does weight confer an advantage to shot putters?

  • 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?

  • Top marks
    problem

    Top marks

    Age
    16 to 18
    Challenge level
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    Can you make all of these statements about averages true at the same time?