A box plot (box-and-whisker plot) displays the distribution of data through quartiles. The box spans from Q1 to Q3, with a line at the median. Whiskers extend to the minimum and maximum values within the fences, and outliers are plotted individually.

How are outliers determined?

Outliers are values that fall below Q1 − 1.5 × IQR or above Q3 + 1.5 × IQR, where IQR is the interquartile range (Q3 − Q1). These boundaries are called fences.

When should I use a box plot?

Use box plots to compare distributions across groups, identify outliers, and see the spread and symmetry of data at a glance. They are especially useful when comparing two or more datasets side by side.

Box Plot Calculator

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About Box Plot Calculator

Enter one or more datasets to create box plots showing the five-number summary (min, Q1, median, Q3, max), interquartile range, and outliers. The calculator shows every step from sorting to fence calculation.

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FAQ

Is this data visualization tool free?

Yes! Create histograms, box plots, scatter plots, dot plots, and stem-and-leaf diagrams completely free with step-by-step explanations. No account required.

What types of charts can I create?

You can create histograms (frequency distributions), box-and-whisker plots (with outlier detection), scatter plots (with optional regression lines), dot plots (stacked dots), and stem-and-leaf diagrams.

How does the histogram bin calculation work?

By default, the tool uses Sturges' rule (k = 1 + 3.322 × log₁₀(n)) to determine the optimal number of bins for your dataset. You can also specify a custom number of bins or a specific bin width.

Can I compare multiple datasets?

Yes! The box plot supports multiple groups, letting you compare distributions side by side. Scatter plots show relationships between two variables with optional regression analysis.

How are the step-by-step solutions generated?

All computations use numpy and scipy for mathematical precision. Each step shows the formula, substitution, and result — unlike AI chatbots, every calculation is deterministic and guaranteed to be correct.

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