Are you struck by the claim that the Olympic flame on its tour round the country will pass within 10 miles of 95% of the population of the UK, the Isle of Man, Guernsey and Jersey? I live in Cambridgeshire, and even a cursory examination of the map showing the route indicates that many of us in this area are rather more than 10 miles from the route. What about your area?
Challenging this claim will provide students with an opportunity to check their own distance from the route, then to collect data for the class. This can be compared with data nationally or within a particular region of the UK, using the distance tool for the torch relay on the Sport at School website.
This is an interesting context in which to look at comparing data sets using averages and spread.
Ask the class how many of them think they live within 10 miles of the torch route, then use the link to the distance tool to find out. How many of them live within 10 miles? Is it at least 95% of them? Get them to fill in the online poll, then use the online poll to see how other classes have responded.
"Do you think our class is typical? What sort of different answers do you think classes would get in different schools, rural ones, urban ones, big schools, little schools...?"
There are datasets available from the Sport at School website to follow up on this discussion.
Then collect the data on distances - either as the crow flies or by road - for the class. Then calculate an average (which one?) and a measure of spread (which one?) to characterise the data.
For a different context in which to explore the importance of considering spread as well as average, see How Would You Score It?
What does an average tell us about our data?
Which average should we use? Why?
What are the advantages of using that average? What are the disadvantages?
Is the average enough on its own to tell us all we need to know about our data? Why not?
Which measure of spread should we use (if students know more than one)? Why?
What are the advantages and disadvantages?
Returning to the distance tool will allow students to compare their data with other data sets from schools around the country or in a particular region.
This task can be accessed at lots of different levels, with the analysis depending on the stage of understanding of the learners.