How does the Box Plot Calculator work?

Q2 (median): middle value of sorted data Then: Q1: median of lower half Then: Q3: median of upper half Then: IQR = Q3 − Q1; outlier threshold = 1.5×IQR.

Can you give an example of how to use the Box Plot Calculator?

Example: Input Data: 2,4,5,7,8,9,11,13 gives a result of Min=2, Q1=4.5, Med=7.5, Q3=10, Max=13.

Is the Box Plot Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Box Plot Calculator?

Our Box Plot Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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Box Plot Calculator

Data (space or comma separated)

✓Five-Number Summary

Min

2.00

7.00

Median (Q2)

10.00

17.00

Max

21.00

IQR

10.00

📊Five-Number Summary

A box plot (box-and-whisker plot) visualises the distribution of data using five statistics: minimum, Q1, median, Q3, and maximum. Outliers are shown as individual points beyond 1.5×IQR from the quartiles.

Symbol	Name	Unit	Description
Min	minimum value	—	—
Q1	first quartile (25th percentile)	—	—
Q2	median (50th percentile)	—	—
Q3	third quartile (75th percentile)	—	—
Max	maximum value	—	—
IQR	interquartile range	—	Q3 − Q1

Statistic	Description	Formula
Min	Smallest value	Min(data)
Q1	25th percentile	Median of lower half
Median	50th percentile	Middle value
Q3	75th percentile	Median of upper half
Max	Largest value	Max(data)

References

›Box plot — Khan Academy

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Box Plot Calculator