S4b – Mean

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Prerequisites

Part 1 – Finding the mean from a list

Links to past exam and UKMT questions

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Visual representation of the mean

Another visual representation of the mean

 In the applet below, you can:
  • adjust the number of values in the set using the slider;
  • adjust each value in the set using the relevant + or – button; and
  • click the green button to show the mean and click the pink button to hide the mean.

  Consider these questions:

  • What is the mean of this set of values?
  • If you add 1 to one of the values, what will happen to the mean?
  • If you subtract 1 from one of the values, what will happen to the mean?
  • What do you have to add to any one of the values to increase the mean of the set by 1?
  • If you add 1 to all of the values what happens to the mean?
  • If you double all of the values, what happens to the mean?
  • You want to include an extra value in the list. What does it have to be in order to leave the mean unchanged?

Part 2 – Mean from a frequency table

Links to past exam questions

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In the real world

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