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📊 How to Read Box Plots

Learn to read medians, quartiles, IQRs, whiskers, and potential outliers so box plots support quick, careful comparisons.

lessons

~10 min

to learn

🔢 Math

subject

Adults

level

Start the course →

What you’ll learn

Meet the box plotIdentify the main parts and purpose of a box plot.A box plot summarizes center, spread, tails, and potential outliers.
Measure spreadInterpret the IQR, whiskers, and flagged points.Box length measures middle spread; whiskers and points depend on the plot convention.
Compare shapesUse spacing and whiskers to describe asymmetry.Unequal positions and tails can suggest skew, with limits.
Make a careful readRead and summarize a box plot with precise, bounded language.Scale, labels, center, spread, shape, and unusual points support a careful interpretation.

Questions this course answers

What does the line inside the box represent?

The line inside the box marks Q2, the median.

What is the IQR?

The interquartile range is the length of the middle-half interval, Q3 minus Q1.

What do points beyond modified-plot whiskers usually indicate?

They are flagged as unusual by a rule such as the 1.5-IQR fences, not proven errors.

What can a longer upper whisker suggest?

Unequal whiskers can indicate asymmetry, with a longer upper tail suggesting right skew.

What should you compare first in side-by-side box plots?

These features summarize location, middle spread, tail extent, and unusual values.

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