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Box plot maker

Paste the values for each machine, shift or supplier and compare center, spread and outliers at a glance. Choose vertical or horizontal orientation and download the chart as PNG or PDF.

Pre-sizing and estimating tool: results do not replace design, calculations or reports signed by a licensed professional, nor verification against the applicable codes and standards.

CheckRevised 11/03/2026
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—Box plot
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Box plot

Tap the chart to see the values.

Five-number summary, mean and outliers

Quartiles by the Minitab method, position (N + 1)p. Whiskers to the most extreme value within 1.5 × IQR.

Next step

Take this page’s results to another calculator with the fields already filled in.

The calculation report gathers this page's inputs, results, equations, assumptions and references, with fields for project, engineer and revision. The full report also includes the charts and interpretations, in color. In the print dialog, choose Save as PDF.

Method, assumptions and references

Equations used

Q1, median, Q3 = values at positions (N + 1)·0.25, (N + 1)·0.5, (N + 1)·0.75, linearly interpolated (Minitab method)
IQR = Q3 − Q1; fences: Q1 − 1.5·IQR and Q3 + 1.5·IQR; whiskers to the most extreme value within the fences; outlier = value outside the fences
Notch: 95% CI of the median from order statistics with Hettmansperger-Sheather interpolation (N > 50: normal approximation to the binomial); clipped to Q1–Q3 in the drawing

Assumptions and limits

  • The 1.5 × IQR rule (Tukey) is a screen: with normal data about 0.7% of values fall outside the fences even without a special cause; with thousands of values there will always be some outliers.
  • The box plot summarizes the distribution and hides its shape (two peaks do not show) and the time order; use the histogram and the run chart for those. A visual comparison does not replace a test (ANOVA, Kruskal-Wallis).
  • The row number is the line in the pasted text (the header counts as line 1), the same as the Excel row when the copy starts at row 1.

Standards and technical documents

  • Tukey, J. W. Exploratory Data Analysis. Addison-Wesley, 1977
  • McGill, R.; Tukey, J. W.; Larsen, W. A. Variations of box plots. The American Statistician 32:12–16, 1978
  • Hettmansperger, T. P.; Sheather, S. J. Confidence intervals based on interpolated order statistics. Statistics & Probability Letters 4:75–79, 1986
  • Montgomery, D. C. Introduction to Statistical Quality Control, 8th ed. Wiley, 2019, cap. 3
  • NIST/SEMATECH e-Handbook of Statistical Methods, seção 1.3.3.7 (Box Plot)

U.S. regulations

  • ISO 9001:2015, 9.1.3: analysis and evaluation
  • ISO 16269-4:2010 Statistical interpretation of data — Detection and treatment of outliers

Frequently asked questions

How do I make a box plot from Excel data?

Put each group (machine, shift, supplier) in its own column with the name in the first row, copy the columns and paste them into the values box. Columns may have different lengths. If your data are in a group column and a value column, choose the Stacked layout.

Vertical or horizontal box plot: which should I choose?

Vertical is the classic layout, good for up to 6 or 8 groups with short names. Horizontal works better with many groups, long names and on phones, because each group gets its own row. Use the Vertical and Horizontal buttons above the chart; the choice also applies to the PNG and the PDFs.

How are the quartiles calculated?

With the Minitab method: Q1, median and Q3 at positions (N + 1)·0.25, (N + 1)·0.5 and (N + 1)·0.75 of the sorted data, interpolating between neighbors. Excel’s QUARTILE.INC uses another rule and may give slightly different Q1 and Q3 with small samples.

What is an outlier in a box plot?

A value more than 1.5 × IQR below Q1 or above Q3. The page shows each one with its value and spreadsheet row, so you can go straight to the record. An outlier calls for investigation (measurement error, typing, a part from another lot); only remove it once the cause is found.

What is the notch for?

The notch shows the 95% confidence interval of the median. When the notches of two groups do not overlap, the difference between the medians is probably real. For a formal conclusion, use the Kruskal-Wallis test or ANOVA with the button below.

Why show the mean and the individual points?

A mean (◆) far from the median signals skewness or outliers pulling the value. The points show how much data each box holds and whether there are clusters the box hides; with more than 50 values per group they are hidden in automatic mode.

Does a box plot replace ANOVA?

No. The box plot shows where the differences are and whether the spreads are similar, which is an ANOVA condition. If the boxes look different, confirm with ANOVA (means) or Kruskal-Wallis (medians); if one box is much longer, investigate that group first.