Mean Examples in Math
Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Mean.
This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.
Concept Recap
The arithmetic mean (average) of a data set is the sum of all values divided by the number of values.
Imagine redistributing all the data equally — the mean is the value each person would get if everyone shared equally. It is the balance point of the data.
Read the full concept explanation →How to Use These Examples
- Read the first worked example with the solution open so the structure is clear.
- Try the practice problems before revealing each solution.
- Use the related concepts and background knowledge badges if you feel stuck.
What to Focus On
Core idea: The mean minimizes the sum of squared deviations from the data — it is the single number that is "closest" to all values simultaneously in a least-squares sense.
Common stuck point: Mean of 1, 2, 3, 100 is 26.5—not representative because of the outlier.
Sense of Study hint: Write out every value, add them up, then count how many values you have and divide. Double-check your count includes zeros.
Worked Examples
Example 1
easySolution
- 1 Add all values: 4 + 8 + 15 + 16 + 23 = 66.
- 2 Count the number of values: n = 5.
- 3 Divide the sum by n: \bar{x} = \frac{66}{5} = 13.2.
Answer
Example 2
mediumPractice Problems
Try these problems on your own first, then open the solution to compare your method.
Example 1
easyExample 2
mediumRelated Concepts
Background Knowledge
These ideas may be useful before you work through the harder examples.