Charlie has moved between countries and the average income of both has increased. How can this be so?
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?
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?
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?
Can you decide whether these short statistical statements are always, sometimes or never true?
What is the probability that the next person you meet has an above average number of arms?
Invent a scoring system for a 'guess the weight' competition.
How can people be divided into groups fairly for events in the Paralympics, for school sports days, or for subject sets?
Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?
Find these 4 numbers, given their mode, median and range.
Given this information about averages, find the ages of these teachers.
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?
The average temperature of six cities is 5$^\circ$C. What is the average temperature when two cities are added?
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?
Can you do a little mathematical detective work to figure out which number has been wiped out?
Does weight confer an advantage to shot putters?
If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?
What is the largest that the mean of these numbers could be?
Find the value of $m$ from these statements about a group of numbers