Descriptive Statistics

Box Plot Generator

Paste a data set and get its box and whisker plot with the five-number summary and any outliers. Add a second data set to compare two groups on the same scale.

Your data

15 values read.

Separate numbers with commas, spaces, or new lines. Quartiles use the median-of-halves method.

Box plot

Statistic	Class A
Count (n)	15
Minimum	43
Q1	55
Median	64
Q3	73
Maximum	84
IQR	18
Lower fence (Q1 − 1.5 × IQR)	28
Upper fence (Q3 + 1.5 × IQR)	100
Outliers	none

How to use this tool

Type or paste your numbers into the box, separated by commas, spaces, or new lines.
The box runs from the first quartile to the third quartile, with a thick line at the median.
The whiskers reach the smallest and largest values that are not outliers. Points beyond the fences are marked with red circles.
Click "Compare a second data set" to draw two box plots on the same axis.

Formula Reference

Interquartile range

IQR = Q3 − Q1

Lower fence

Q1 − 1.5 × IQR

Upper fence

Q3 + 1.5 × IQR

Outlier

any value beyond a fence

CalcFive-Number Summary & IQR Calculator ArticlePercentiles and Quartiles ArticleOutlier Detection ArticleStem-and-Leaf Plots GlossaryGlossary: Five-Number Summary

Frequently Asked Questions

Which quartile method does this tool use?+

It uses the median-of-halves method: split the sorted data at the median, leaving the median out of both halves when the count is odd, and take the median of each half. Excel, R, and Python use interpolation-based methods by default, so their quartiles can differ slightly for small data sets.

What do the whiskers show?+

Each whisker reaches the most extreme data value that is still inside the fences. It does not extend all the way to the fence itself, unless a data value sits exactly there.

Why is a point marked as an outlier?+

A value is flagged when it lies more than 1.5 times the IQR beyond the nearest quartile. This is a screening rule, not proof of an error. An outlier deserves a look, not automatic removal.

Does the box plot show the mean?+

No. The line in the box is the median. A big gap between the median line and the middle of the box, or unequal whiskers, hints at skewness.

Statistic

Class A

Count (n)

Minimum

Median

Maximum

IQR

Lower fence (Q1 − 1.5 × IQR)

Upper fence (Q3 + 1.5 × IQR)

100

Outliers

none

How to use this tool

Type or paste your numbers into the box, separated by commas, spaces, or new lines.

The box runs from the first quartile to the third quartile, with a thick line at the median.

The whiskers reach the smallest and largest values that are not outliers. Points beyond the fences are marked with red circles.

Click "Compare a second data set" to draw two box plots on the same axis.