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

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

Imagine you have a large supply of 3kg and 8kg weights. How many of each weight would you need for the average (mean) of the weights to be 6kg? What other averages could you have?

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

Carry out some time trials and gather some data to help you decide on the best training regime for your rowing crew.

Start with two numbers. This is the start of a sequence. The next number is the average of the last two numbers. Continue the sequence. What will happen if you carry on for ever?

Is it the fastest swimmer, the fastest runner or the fastest cyclist who wins the Olympic Triathlon?

How can we make sense of national and global statistics involving very large numbers?

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

Infographics are a powerful way of communicating statistical information. Can you come up with your own?

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

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

Match the cumulative frequency curves with their corresponding box plots.

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

A collection of short Stage 3 and 4 problems on processing and representing data.