Carry out some time trials and gather some data to help you decide
on the best training regime for your rowing crew.
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
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.
Is it the fastest swimmer, the fastest runner or the fastest cyclist who wins the Olympic Triathlon?
How can we make sense of national and global statistics involving very large numbers?
Infographics are a powerful way of communicating statistical information. Can you come up with your own?
With access to weather station data, what interesting questions can you investigate?
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?
Match the cumulative frequency curves with their corresponding box plots.
Play around with sets of five numbers and see what you can discover about different types of average...
A collection of short Stage 3 and 4 problems on processing and representing data.
Can you work out how many students applied to a school, if you know about how the mean number of students has changed?
Can you work out the median weight of these children from the given means?
The median of a set of five positive integers is one more than the mode and one less than the mean. Can you find the largest range possible?
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?
What is the mean of this set of numbers?
If some of the audience fell asleep for some of this talk, what was the average proportion of the talk that people heard?
Find 4 numbers which have a mean of 7, a median of 8 and a mode of 9.