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?
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?
What happens to the average if you subtract 8 from all of the numbers?
Can you do a little mathematical detective work to figure out which number has been wiped out?
Can you decide whether these short statistical statements are always, sometimes or never true?
Play around with sets of five numbers and see what you can discover about different types of average...
What do these statistics about family size mean?
Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?
Invent a scoring system for a 'guess the weight' competition.
Does weight confer an advantage to shot putters?
What is the probability that the next person you meet has an above average number of arms?
Given this information about averages, find the ages of these teachers.
Find these 4 numbers, given their mode, median and range.
How can people be divided into groups fairly for events in the Paralympics, for school sports days, or for subject sets?
What was the average score in this French test?
Two students collected some data on the wingspan of bats, but each lost a measurement. Can you find the missing information?
The average temperature of six cities is 5$^\circ$C. What is the average temperature when two cities are added?
What is the largest that the mean of these numbers could be?
If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
Kyle and his teacher disagree about his test score - who is right?
Find the value of $m$ from these statements about a group of numbers