Five-Number Summary Calculator
Calculate the five-number summary (minimum, Q1, median, Q3, maximum) from a normal distribution. These five values completely describe the shape and spread of the data for a box plot.
The five-number summary provides a compact description of a dataset.
The Five Numbers:
- Minimum - the smallest value
- Q1 - 25th percentile (lower quartile)
- Median - 50th percentile (middle value)
- Q3 - 75th percentile (upper quartile)
- Maximum - the largest value
For a Normal Distribution:
- Q1 ≈ μ - 0.6745σ
- Median = μ
- Q3 ≈ μ + 0.6745σ
- Min/Max estimated from sample size
The five-number summary is the basis for box-and-whisker plots.