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The mean, as a fair share
Play Averages and the Mean
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How to play Averages and the Mean
- Look at the bars and the dashed mean line. It marks the height every bar would have if they were levelled out.
- Move the sliders to change the diagram and watch what happens. The readout under the picture shows the numbers.
- Answer each question. If you are wrong you get a hint and can try again, with no penalty.
- Some steps ask you to make something happen, such as hitting a target value. Experiment until it works.
- Finish the lesson to earn XP and see how many questions you got right first time.
Tips and strategy
- Do not rush. The sliders are there to be played with, so try extreme values as well as sensible ones.
- Say what you notice out loud or write it down before you press Continue.
- Use the hint when you are stuck, and then try to explain the answer in your own words.
- To check a mean, multiply it by how many numbers there are. You should get the total.
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FAQ
Averages and the Mean: questions
How do you calculate the mean?
Add all the numbers, then divide by how many numbers there are. The mean of 4, 8, 12 and 16 is 40 ÷ 4 = 10.
What is the difference between mean, median and mode?
The mean is total ÷ count, the median is the middle number once they are in order, and the mode is the number that appears most often.
Why is the mean called a fair share?
Because it is the value each item would have if the total were shared equally between them.
What grade learns the mean?
Usually Grades 4 to 6 (ages 9 to 12).
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