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For younger learners

  • Early Years Foundation Stage

Statistics - Stage 3


This is part of our Secondary Curriculum collection of favourite rich tasks arranged by topic.

Statistics Short Problems - Age 11-14

Age 11 to 14

A collection of short Stage 3 problems on statistics.

How Would You Score It?

Age 11 to 14
Challenge Level Yellow star

Invent a scoring system for a 'guess the weight' competition.

About Average

Age 11 to 14
Challenge Level Yellow star

Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

Substitution Cipher

Age 11 to 14
Challenge Level Yellow star

Find the frequency distribution for ordinary English, and use it to help you crack the code.

Olympic Records

Age 11 to 14
Challenge Level Yellow star

Can you deduce which Olympic athletics events are represented by the graphs?

In the Bag

Age 11 to 14
Challenge Level Yellow star

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?

Half a Minute

Age 11 to 14
Challenge Level Yellow star

Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?

Reaction Timer

Age 11 to 14
Challenge Level Yellow star

This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.

M, M and M

Age 11 to 14
Challenge Level Yellow star

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

Who's the Best?

Age 11 to 14
Challenge Level Yellow starYellow star

Which countries have the most naturally athletic populations?

Unequal Averages

Age 11 to 14
Challenge Level Yellow starYellow star

Play around with sets of five numbers and see what you can discover about different types of average...

What's the Weather Like?

Age 11 to 14
Challenge Level Yellow starYellow star

With access to weather station data, what interesting questions can you investigate?

Estimating Time

Age 11 to 14
Challenge Level Yellow starYellow star

How well can you estimate 10 seconds? Investigate with our timing tool.

Litov's Mean Value Theorem

Age 11 to 14
Challenge Level Yellow starYellow starYellow star

Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

Statistical Shorts

Age 11 to 16
Challenge Level Yellow star

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

Wipeout

Age 11 to 16
Challenge Level Yellow starYellow star

Can you do a little mathematical detective work to figure out which number has been wiped out?

Searching for Mean(ing)

Age 11 to 16
Challenge Level Yellow starYellow star

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?

Tree Tops

Age 14 to 16
Challenge Level Yellow starYellow star

Can you make sense of information about trees in order to maximise the profits of a forestry company?



 
You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.
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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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