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Broad Topics > Handling, Processing and Representing Data > Averages

Unequal Averages

Stage: 3 Challenge Level:

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

M, M and M

Stage: 3 Challenge Level:

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

Searching for Mean(ing)

Stage: 3 Challenge Level:

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?

Reaction Timer

Stage: 3 Challenge Level:

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

May the Best Person Win

Stage: 1, 2, 3 and 4

How can people be divided into groups fairly for events in the Paralympics, for school sports days, or for subject sets?

How Would You Score It?

Stage: 3 Challenge Level:

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

Top Coach

Stage: 3 Challenge Level:

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

Wipeout

Stage: 3 Challenge Level:

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

Statistical Shorts

Stage: 3 and 4 Challenge Level:

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

Match the Matches

Stage: 2 Challenge Level:

Decide which charts and graphs represent the number of goals two football teams scored in fifteen matches.