Five-Number Summary Calculator — Formula
## 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.
### 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.
Exemplo Resolvido
A dataset has min=5, Q1=15, median=30, Q3=45, max=80.
- Five-Number Summary: 5, 15, 30, 45, 80
- Range = 80 - 5 = 75
- IQR = 45 - 15 = 30
- Lower Fence = 15 - 1.5*30 = 15 - 45 = -30
- Upper Fence = 45 + 1.5*30 = 45 + 45 = 90