Five-Number Summary Calculator

Produce the five-number summary (min, Q1, median, Q3, max) from sorted data values.

IQR

30.0000

Intervallo75.0000
Lower Whisker Fence-30.0000
Upper Whisker Fence90.0000

IQR vs Minimum

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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.

Esempio Risolto

A dataset has min=5, Q1=15, median=30, Q3=45, max=80.

  1. 01Five-Number Summary: 5, 15, 30, 45, 80
  2. 02Range = 80 - 5 = 75
  3. 03IQR = 45 - 15 = 30
  4. 04Lower Fence = 15 - 1.5*30 = 15 - 45 = -30
  5. 05Upper Fence = 45 + 1.5*30 = 45 + 45 = 90