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The values are 3, 6, 6, 7, 8, 12, with a mean of 7.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
The values are , with a mean of .
- Find the distance of each value from the mean, leaving out the sign.
- Find the mean of these distances.
Need a reminder? The key ideaShow
The distances from the mean add up to , because those below cancel those above. Leaving out the sign gives a first measure of spread.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Distances. , , , , and .
Step 2. Their mean. .
Answer: a typical value is about from the mean. The standard deviation does the same job, with squares in place of leaving out the sign.
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