Averages

  • 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?

  • 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?

  • 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

  • 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?

  • 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?

  • 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?

  • Spread
    problem

    Spread

    Age
    16 to 18
    Challenge level
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    Given the mean and standard deviation of a set of marks, what is the greatest number of candidates who could have scored 100%?

  • 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.