1. If you rolled a die lots of times and recorded the results, what would you estimate the average of these results to be? What averages would be impossible? mathspad.co.uk

2. Separate your cards, write your name on each and put cards C and D to one side for now. Complete Card B, with a tally of your data. Work out the mean of your results on Card A. Roll your die 15 times, writing a list of your scores on Card A as you go along. mathspad.co.uk

3. Give Card B to your partner. Can you work out the mean of your partner’s data using Card B only? When you think you have it, ask your partner to check if it is right. Extension: can you work out your partner’s mode, median and range? mathspad.co.uk

4. Did you manage to work out your partner’s mean? How did you do it? How was your method different from when you find the mean of listed data? mathspad.co.uk

5. Complete Card C, using your original data. Pass Card C to someone else. Can you work out the mean of the data you have been handed? Extension: can you work out the mode, median and range? mathspad.co.uk

6. Did you manage to work out the mean this time? How did you do it? mathspad.co.uk

7. Complete Card D, using your original data. Pass Card D to someone else. Can you work out the mean of the data you have been handed? Extension: can you work out the mode, median and range? mathspad.co.uk

8. Did you manage to work out the mean this time? How did you do it? mathspad.co.uk