Median Formula - Statistics
Learn the median formula with examples, step-by-step guide, and calculator tools. Find the middle value in a sorted dataset
The median formula is a fundamental concept in statistics. Find the middle value in a sorted dataset. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
Variables
Step-by-Step Guide
- 1
Step 1: Gather your data values
- 2
Step 2: Apply the formula
- 3
Step 3: Perform the calculations
- 4
Step 4: Interpret the result
Examples
Example 1
Example 1: [3,7,9,12,15] → n=5 (odd), median = x₍₃₎ = 9
Example 2
Example 2: 9
Frequently Asked Questions
What is the median formula?
Find the middle value in a sorted dataset
How do I calculate median formula?
Use the formula: \text{Median} = \begin{cases} x_{(n+1)/2} & \text{if } n \text{ is odd} \\ \frac{x_{n/2} + x_{(n/2)+1}}{2} & \text{if } n \text{ is even} \end{cases}. Follow the steps provided above.
What tools can help with median formula?
We provide online calculators: median-calculator, percentile-calculator