List

Statistics - Stage 4

Litov's Mean Value Theorem
problem
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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...

m, m and m
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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?

Searching for mean(ing)
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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?

How would you score it?
problem
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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.

Olympic Triathlon
problem
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Olympic triathlon

Age
14 to 16
Challenge level
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Is it the fastest swimmer, the fastest runner or the fastest cyclist who wins the Olympic Triathlon?

Picturing the world
problem
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Picturing the world

Age
14 to 16
Challenge level
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How can we make sense of national and global statistics involving very large numbers?

Perception versus reality
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Perception versus reality

Age
14 to 18
Challenge level
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Infographics are a powerful way of communicating statistical information. Can you come up with your own?

What's the weather like?
problem
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What's the weather like?

Age
11 to 14
Challenge level
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With access to weather station data, what interesting questions can you investigate?

About Average
problem
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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?

Wipeout
problem
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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?

Half a minute
problem
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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?

Box plot match
problem
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Box plot match

Age
14 to 16
Challenge level
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Match the cumulative frequency curves with their corresponding box plots.

Unequal Averages
problem
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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...