List

Statistics - Stage 3

Tree tops
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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?
Litov's Mean Value Theorem
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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...
Substitution Cipher
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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
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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
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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.
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.
Who's the best?
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Who's the best?

Age
11 to 14
Challenge level
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Which countries have the most naturally athletic populations?
Olympic Records
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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
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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?
What's the weather like?
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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?
Estimating time
problem
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Estimating time

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