This statistics calculator sorts a finite dataset and calculates its minimum, inclusive quartiles, median, maximum, range, and interquartile range.
Statistics
5 Number Summary Calculator
Sort a finite dataset and calculate its minimum, inclusive quartiles, median, and maximum.
Calculator
About this calculator
Formula notes
Q1 is the median of the lower half, Q2 is the overall median, and Q3 is the median of the upper half; IQR = Q3 - Q1.
Worked examples
- Example: 1, 2, 3, 4, 5, 6, 7 gives Q1 2.5, median 4, Q3 5.5, and IQR 3.
- For 1, 2, 3, 4, the inclusive summary is min 1, Q1 1.5, median 2.5, Q3 3.5, max 4.
How to use it
- Enter a list of finite numbers.
- Read the sorted dataset and count.
- Review the five-number summary plus range and IQR.
Frequently asked questions
Which quartile convention is used?
The tool uses an inclusive convention where each half keeps the median when the dataset size is odd.
Can I enter negative or decimal values?
Yes. Any finite numbers are accepted and sorted numerically.
Limits and interpretation
- The inclusive quartile convention differs from some software defaults, so compare results before mixing tools.
- The summary describes the data as entered and does not identify outliers or data-quality issues.