Averages

  • Half a minute
    problem

    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?

  • Handling Data - Short Problems
    problem

    Range of averages

    Age
    11 to 14
    Challenge level
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    Find these 4 numbers, given their mode, median and range.

  • Handling Data - Short Problems
    problem

    Shifting average

    Age
    11 to 14
    Challenge level
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    What happens to the average if you subtract 8 from all of the numbers?

  • Unequal Averages
    problem

    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...

  • Handling Data - Short Problems
    problem

    The average age

    Age
    11 to 14
    Challenge level
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    Given this information about averages, find the ages of these teachers.

  • Handling Data - Short Problems
    problem

    Average temperature

    Age
    11 to 14
    Challenge level
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    The average temperature of six cities is 5$^\circ$C. What is the average temperature when two cities are added?

  • Handling Data - Short Problems
    problem

    French test

    Age
    11 to 14
    Challenge level
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    What was the average score in this French test?

  • Litov's Mean Value Theorem
    problem

    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...

  • Handling Data - Short Problems
    problem

    Number of arms

    Age
    11 to 14
    Challenge level
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    What is the probability that the next person you meet has an above average number of arms?

  • Handling Data - Short Problems
    problem

    Growing families

    Age
    11 to 14
    Challenge level
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    What do these statistics about family size mean?