Normal Q-Q Plot Workbench
Plot ordered observations against normal quantiles and export positions, reference values and residuals.
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How to use Normal Q-Q Plot Workbench
Filliben plotting positions are transformed through the standard normal inverse CDF. Choose a least-squares reference fitted to ordered observations, or enter a normal mean and standard deviation. Stable origin-shifted residuals preserve small differences in large-offset data.
- Enter observations (comma or whitespace separated), entered model mean (used in entered mode), entered model standard deviation (used in entered mode).
- Choose the stated convention and check the units and supported model.
- Calculate, inspect the result, then copy or download it.
Good to know
- 3–2000 real observations; fit and quantiles use floating-point approximations. A constant sample has a horizontal fitted line, not evidence of a nondegenerate normal distribution. The graphic is descriptive: no normality p-value, independent-sample guarantee or automatic accept/reject claim. The download preserves numeric rows and source positions.
- Runs locally without input persistence. Text/JSON fields have a30000-character cap unless a stricter page limit applies; output has a1000000-character cap. Exact-grid workflows preserve six-decimal arithmetic, while approximate workflows use finite floating-point values. JSON downloads retain complete stored numeric values and exact fractions where provided. Unsupported formats and detected numeric or work-budget excess return an error or a clearly unresolved classification.
Common questions
Does a nearly straight plot prove normality?
No. It is a visual comparison under a stated reference. Small samples, dependence and limited tail observations can hide important departures; the tool does not issue a hypothesis-test verdict.
Is the input uploaded or saved?
No. The tool calculates inside this browser tab and provides a local download; it does not persist your input.
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