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?
Can you decide whether these short statistical statements are always, sometimes or never true?
Play around with sets of five numbers and see what you can discover about different types of average...
What happens to the average if you subtract 8 from all of the numbers?
Can you do a little mathematical detective work to figure out which number has been wiped out?
Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
Invent a scoring system for a 'guess the weight' competition.
How can we make sense of national and global statistics involving very large numbers?
Can you make sense of information about trees in order to maximise the profits of a forestry company?
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?
Six samples were taken from two distributions but they got muddled up. Can you work out which list is which?
Is it the fastest swimmer, the fastest runner or the fastest cyclist who wins the Olympic Triathlon?
Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?
With access to weather station data, what interesting questions can you investigate?
Match the cumulative frequency curves with their corresponding box plots.
This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.
Which countries have the most naturally athletic populations?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Charlie has moved between countries and the average income of both has increased. How can this be so?
How well can you estimate 10 seconds? Investigate with our timing tool.
This article explores the process of making and testing hypotheses.
Find the frequency distribution for ordinary English, and use it to help you crack the code.
Nine cross country runners compete in a team competition in which there are three matches. If you were a judge how would you decide who would win?
Here is the start of a six-part challenge. Can you get to the end and crack the final message?
Like all sports rankings, the cricket ratings involve some maths. In this case, they use a mathematical technique known as exponential weighting. For those who want to know more, read on.
You may like to read the article on Morse code before attempting this question. Morse's letter analysis was done over 150 years ago, so might there be a better allocation of symbols today?
Design and test a paper helicopter. What is the best design?
If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?
Use your skill and judgement to match the sets of random data.
Can you deduce which Olympic athletics events are represented by the graphs?
This short article gives an outline of the origins of Morse code and its inventor and how the frequency of letters is reflected in the code they were given.
A random ramble for teachers through some resources that might add a little life to a statistics class.
This pilot collection of resources is designed to introduce key statistical ideas and help students to deepen their understanding.
Where do people fly to from London? What is good and bad about these representations?
Displaying one-variable and two-variable data can be straightforward; what about three or more?
A geographical survey: answer the tiny questionnaire and then analyse all the collected responses...
Infographics are a powerful way of communicating statistical information. Can you come up with your own?