Median Examples in Statistics
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 Statistics.
Concept Recap
The middle value when data is arranged in order. Half the values are above it, half below.
If you lined up your whole class by height, the median height is the person standing exactly in the middle. It's not affected by whether the tallest kid is 5'5" or 7 feet - the middle person stays the same.
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 median is the literal middle value once data is sorted. It splits the data set in half and resists being pulled by extreme outliers.
Common stuck point: Students forget to sort the data first. Finding the 'middle' of an unsorted list gives a meaningless answer.
Worked Examples
Example 1
easySolution
- 1 Step 1: Arrange in order: 3, 5, 7, 8, 10, 12, 15.
- 2 Step 2: There are 7 values (odd), so the median is the middle value at position \frac{7+1}{2} = 4.
- 3 Step 3: The 4th value is 8.
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.