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

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

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

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

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

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

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?

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

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

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?

Which countries have the most naturally athletic populations?

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

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

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

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

A collection of short Stage 3 problems on statistics.