List

Statistics - Stage 3

Substitution Cipher
problem

Substitution Cipher

Age
11 to 14
Challenge level
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Find the frequency distribution for ordinary English, and use it to help you crack the code.
In the bag
problem

In the bag

Age
11 to 14
Challenge level
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Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?
Reaction timer
problem

Reaction timer

Age
11 to 14
Challenge level
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This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.
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?
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 Records
problem

Olympic Records

Age
11 to 14
Challenge level
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Can you deduce which Olympic athletics events are represented by the graphs?
Statistical shorts
problem

Statistical shorts

Age
11 to 16
Challenge level
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Can you decide whether these short statistical statements are always, sometimes or never true?
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?
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?
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?
Who's the best?
problem

Who's the best?

Age
11 to 14
Challenge level
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Which countries have the most naturally athletic populations?
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?
Estimating time
problem

Estimating time

Age
11 to 14
Challenge level
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How well can you estimate 10 seconds? Investigate with our timing tool.
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?
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...
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...
Tree tops
problem

Tree tops

Age
14 to 16
Challenge level
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Can you make sense of information about trees in order to maximise the profits of a forestry company?


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Statistics - Stage 3 STEM footer
 

You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.