Statistics - Stage 3

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

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

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

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

Which countries have the most naturally athletic populations?

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

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

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

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?

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

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?

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

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