List

Statistics - Stage 4

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...
m, m and m
problem

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)
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?
How would you score it?
problem

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

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

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
problem

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

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

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

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

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

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

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...