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?

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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.

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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?

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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?

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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?

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Did you manage to work out the mean this time?

How did you do it?

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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?

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Did you manage to work out the mean this time?

How did you do it?

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