Statistics
Interquartile Range (IQR) Formula - Statistics
Learn the interquartile range (iqr) formula with examples, step-by-step guide, and calculator tools. Measure the spread of the middle 50% of data
The interquartile range (iqr) formula is a fundamental concept in statistics. Measure the spread of the middle 50% of data. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[IQR = Q_3 - Q_1\]
Variables
IQR
Interquartile range
Q₃
Third quartile (75th percentile)
Q₁
First quartile (25th percentile)
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: [2,5,8,10,12,15,18,20] → IQR = 16.5 - 6.5 = 10
Example 2
Example 2: 10
Frequently Asked Questions
What is the interquartile range (iqr) formula?
Measure the spread of the middle 50% of data
How do I calculate interquartile range (iqr) formula?
Use the formula: IQR = Q_3 - Q_1. Follow the steps provided above.
What tools can help with interquartile range (iqr) formula?
We provide online calculators: quartile-calculator, statistics-calculator