
Litov's mean value theorem
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

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

Searching for mean(ing)
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?

How would you score it?
Invent a scoring system for a 'guess the weight' competition.

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

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

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

What's the weather like?
With access to weather station data, what interesting questions can you investigate?

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

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

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

Box plot match
Match the cumulative frequency curves with their corresponding box plots.

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