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Play around with sets of five numbers and see what you can discover about different types of average...
Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?
Can you do a little mathematical detective work to figure out which number has been wiped out?
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?
Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?
Invent a scoring system for a 'guess the weight' competition.
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?
If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?
Decide which charts and graphs represent the number of goals two football teams scored in fifteen matches.
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
Given this information about averages, find the ages of these teachers.
Find these 4 numbers, given their mode, median and range.
What is the probability that the next person you meet has an above average number of arms?
What happens to the average if you subtract 8 from all of the numbers?
The average temperature of six cities is 5$^\circ$C. What is the average temperature when two cities are added?
How can people be divided into groups fairly for events in the Paralympics, for school sports days, or for subject sets?
Two students collected some data on the wingspan of bats, but each lost a measurement. Can you find the missing information?