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Normal QQ plot maker

Paste one sample and compare the statistic, p-value and QQ plot.

QQ correlation: —

Fill in the fields above — the result is computed on this page.

Observations
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Shapiro–Francia W′
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Approximate p
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Anderson–Darling A²*
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Anderson–Darling p
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QQ correlation
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Normal QQ plot

Inspect departures from the line.

Ordered quantiles

Order Theoretical Observed
Fill in the fields above — the result is computed on this page.
What do these numbers mean?
  • Use the p-value and plot together.
  • Check unusual observations.

The p-value is an approximation and does not validate independence or the sampling plan.

How do I use this page?
  1. Paste values.
  2. Inspect the statistic and plot.

What this page does not do: The p-value is an approximation and does not validate independence or the sampling plan.

Further reading

Theory — what does a QQ plot show?

A QQ plot compares the ordered observations in a sample against the quantiles expected under a fitted normal distribution. The calculator also computes a test statistic and a p-value that assess how well the data agree with that distribution. A small p-value means the sample is hard to reconcile with the fitted normal distribution, so the points on the plot clearly depart from the reference line.

Frequently asked questions

What does a small p-value mean?
The sample is difficult to reconcile with a fitted normal distribution.

See also

← All calculators

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My saved selections

Selections saved only in this browser. Numbers are shown exactly as saved; this is not a lottery ticket.

Open the My saved selections hub
Restore with preview

Restore in the hub: review the file and confirm first. Both old backups and the complete selections + journal backup are supported. Nothing is uploaded.