Median Examples in Math
Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Median.
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 median is the middle value of an ordered data set — half of the values are above it and half are below it.
Half the values are below, half are above. The true 'middle.'
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: Median is resistant to outliers—extreme values don't affect it much.
Common stuck point: For an even number of values, there is no single middle — the median is the average of the two central values. Always sort the data first.
Sense of Study hint: Sort the list from smallest to largest first, then cross off one value from each end until you reach the middle.
Worked Examples
Example 1
easySolution
- 1 Sort the data in ascending order: \{1, 3, 5, 7, 9\}.
- 2 Since n = 5 (odd), the median is the middle value at position \frac{5+1}{2} = 3.
- 3 The third value is 5.
Answer
Example 2
mediumPractice Problems
Try these problems on your own first, then open the solution to compare your method.