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

Can you work out the four unknown numbers from the clues about their means?

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

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?

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.

Which countries have the most naturally athletic populations?

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

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

A collection of short Stage 3 problems on statistics.

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?

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

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

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?

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

The mean number of students has changed, so how many students applied to a school?

Can you work out the median weight of these children from the given means?

Given information about the mean, can you work out the missing numbers?

Can you fill this square so that the number in the middle of each line is the mean of the two numbers on either side of it?

Every member of the club is a member of two committees. How many members are there in the club?

Find 4 numbers which have a mean of 7, a median of 8 and a mode of 9.

What happens to the average if you subtract 8 from all of the numbers?