Carry out some time trials and gather some data to help you decide on the best training regime for your rowing crew.
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?
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...
Can you do a little mathematical detective work to figure out which number has been wiped out?
Play around with sets of five numbers and see what you can discover about different types of average...
Kyle and his teacher disagree about his test score - who is right?
Can you decide whether these short statistical statements are always, sometimes or never true?
Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?
Find the value of $m$ from these statements about a group of numbers
How can people be divided into groups fairly for events in the Paralympics, for school sports days, or for subject sets?
What happens to the average if you subtract 8 from all of the numbers?
Invent a scoring system for a 'guess the weight' competition.
Charlie has moved between countries and the average income of both has increased. How can this be so?
Find these 4 numbers, given their mode, median and range.
Two students collected some data on the wingspan of bats, but each lost a measurement. Can you find the missing information?
Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?
What is the largest that the mean of these numbers could be?
What do these statistics about family size mean?
What was the average score in this French test?
Given this information about averages, find the ages of these teachers.
What is the probability that the next person you meet has an above average number of arms?
The average temperature of six cities is 5$^\circ$C. What is the average temperature when two cities are added?
Does weight confer an advantage to shot putters?