Free Five-Number Summary Calculator
Produce the five-number summary (min, Q1, median, Q3, max) from sorted data values.
IQR
30.0000
Range75.0000
Lower Whisker Fence-30.0000
Upper Whisker Fence90.0000
IQR vs Minimum
Five-Number Summary
Components
1. Minimum: Smallest observation 2. Q1: First quartile (25th percentile) 3. Median: Middle value (50th percentile) 4. Q3: Third quartile (75th percentile) 5. Maximum: Largest observation
These five values provide a quick sketch of the data distribution and form the basis for box-and-whisker plots. The whisker fences at Q1 - 1.5*IQR and Q3 + 1.5*IQR mark the boundary for potential outliers.
Example Calculation
A dataset has min=5, Q1=15, median=30, Q3=45, max=80.
- 01Five-Number Summary: 5, 15, 30, 45, 80
- 02Range = 80 - 5 = 75
- 03IQR = 45 - 15 = 30
- 04Lower Fence = 15 - 1.5*30 = 15 - 45 = -30
- 05Upper Fence = 45 + 1.5*30 = 45 + 45 = 90
Frequently Asked Questions
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