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

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

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

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

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

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

Three students had collected some data on the wingspan of some bats. Unfortunately, each student had lost one measurement. Can you find the missing information?

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

Charlie has moved between countries and the average income of both has increased. How can this be so?

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

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

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