Five Number Summary Calculator
Enter a data set to instantly compute its five number summary — minimum, first quartile, median, third quartile, and maximum — plus the interquartile range and range.
Middle value of the sorted data set
How does this calculator work?
The five number summary lists the minimum, first quartile (Q1), median, third quartile (Q3), and maximum of a sorted data set. Enter your numbers and this calculator returns all five values plus the interquartile range (Q3 − Q1) and the overall range, giving you everything needed to build a box plot.
Formula
How this is calculated
Paste your data separated by commas, spaces, or new lines. The calculator sorts the values in ascending order and reads off the minimum (first value) and maximum (last value).
The median (Q2) is the middle value, or the average of the two middle values when the count is even. The first quartile (Q1) is the median of the lower half of the data and the third quartile (Q3) is the median of the upper half. This tool uses the exclusive method: when the count is odd, the overall median is left out of both halves before computing Q1 and Q3.
The interquartile range is IQR = Q3 − Q1 and describes the spread of the middle 50% of the data, while the range = max − min covers the full spread. These five numbers are exactly what a box-and-whisker plot draws. At least two numeric values are required; non-numeric tokens are ignored.
Frequently asked questions
It is a set of five descriptive statistics — minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum — that summarize a data set and form the basis of a box plot.
It uses the exclusive (Tukey-style) method: the overall median is excluded from both halves before finding Q1 and Q3 when the number of values is odd.
The IQR is Q3 minus Q1. It measures the spread of the middle 50% of your data and is useful for detecting outliers.
Also known as
TG we-Calculate Editorial Team. (2026). Five Number Summary Calculator [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/five-number-summary-calculator
TG we-Calculate Editorial Team. "Five Number Summary Calculator." TG we-Calculate. 2026. https://we-calculate.com/calculator/five-number-summary-calculator.
TG we-Calculate Editorial Team, "Five Number Summary Calculator," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/five-number-summary-calculator
@misc{wecalculate_five_number_summary_calculator, title = {Five Number Summary Calculator}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/five-number-summary-calculator}}, year = {2026}, note = {TG we-Calculate} }
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