Box Plot Builder

Enter up to three datasets to see side-by-side box plots with the five-number summary, IQR, Tukey whiskers, and outliers. Compare distributions at a glance.

Presets:

Datasets

Box Plot

Dataset ADataset B50607080

Five-Number Summary

StatisticDataset ADataset B
N1515
Min64.0052.00
Q167.0056.00
Median71.0060.00
Q375.0064.00
Max80.0070.00
IQR8.008.00
Lower Whisker64.0052.00
Upper Whisker80.0070.00
Outliers (#)00

Reference Guide

Reading a Box Plot

A box plot (also called a box-and-whisker plot) shows five key values for a dataset in a compact graphic.

  • Left whisker end - minimum non-outlier
  • Left box edge - Q1 (25th percentile)
  • Center line - median (50th percentile)
  • Right box edge - Q3 (75th percentile)
  • Right whisker end - maximum non-outlier
  • Diamonds - outlier points

The box spans the interquartile range (IQR), which contains the middle 50% of the data.

IQR and Outlier Detection

The Tukey method defines fences based on the IQR to identify outliers automatically.

IQR = Q3 - Q1
Lower fence = Q1 - 1.5 x IQR
Upper fence = Q3 + 1.5 x IQR

Any data point below the lower fence or above the upper fence is considered an outlier and plotted individually as a diamond.

Whiskers extend to the most extreme non-outlier values within the fences.

Comparing Distributions

Side-by-side box plots on a shared axis make it easy to compare multiple groups. Look for:

  • Location - where is the median? Higher or lower than other groups?
  • Spread - how wide is the box (IQR)? Wide boxes mean more variability.
  • Skew - is the median closer to Q1 or Q3? Longer whisker side indicates a tail.
  • Outliers - are there extreme values that might warrant investigation?