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Broad Topics > Handling, Processing and Representing Data > Averages

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Statistical Shorts

Age 11 to 16 Challenge Level:

Can you decide whether these short statistical statements are always, sometimes or never true?

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For Richer for Poorer

Age 14 to 16 Challenge Level:

Charlie has moved between countries and the average income of both has increased. How can this be so?

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Stats Statements

Age 16 to 18 Challenge Level:

Are these statistical statements sometimes, always or never true? Or it is impossible to say?

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Maximum Mean

Age 14 to 16 Short Challenge Level:

What is the largest that the mean of these numbers could be?

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Changing Averages

Age 14 to 16 Short Challenge Level:

Find the value of $m$ from these statements about a group of numbers

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May the Best Person Win

Age 5 to 16

How can people be divided into groups fairly for events in the Paralympics, for school sports days, or for subject sets?

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David and Goliath

Age 14 to 18 Challenge Level:

Does weight confer an advantage to shot putters?

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Top Marks

Age 16 to 18 Challenge Level:

Can you make all of these statements about averages true at the same time?

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PDF

Age 16 to 18 Challenge Level:

Given a probability density function find the mean, median and mode of the distribution.

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Spread

Age 16 to 18 Challenge Level:

Given the mean and standard deviation of a set of marks, what is the greatest number of candidates who could have scored 100%?

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Mediant Madness

Age 14 to 16 Challenge Level:

Kyle and his teacher disagree about his test score - who is right?