Five Number Summary Calculator
Report the minimum, Q1, median, Q3 and maximum of a dataset for box-plot construction.
Inputs
Median
12.0000
Minimum
5.0000
Q1
7.5000
Q3
17.0000
Maximum
22.0000
Step by step
Values used
Data (comma separated) = 5, 7, 8, 12, 14, 20, 22
Formula applied
Five-Number Summary = {Min, Q1, Median, Q3, Max}
Median
= 12.0000
Minimum
= 5.0000
Q1
= 7.5000
Q3
= 17.0000
Maximum
= 22.0000
How it works
The five-number summary consists of the minimum, Q1, median, Q3, and maximum. These five values fully describe a box-and-whisker plot and give a quick picture of the distribution's center and spread.
Formula
Five-Number Summary = {Min, Q1, Median, Q3, Max}
- Min
- Smallest value
- Q1
- 25th percentile
- Median
- 50th percentile
- Q3
- 75th percentile
- Max
- Largest value
Frequently Asked Questions
What is a five-number summary used for?
It provides the key values needed to draw a box-and-whisker plot, giving a visual overview of the data distribution's center, spread, and skewness.
Can the five-number summary detect outliers?
Not directly, but combined with the IQR (Q3−Q1) and Tukey's fences, it provides the basis for outlier detection.