ToolJovia
Math

Normal Q-Q Plot Workbench

Plot ordered observations against normal quantiles and export positions, reference values and residuals.

✓ Browser-local processing

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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.

  1. Enter observations (comma or whitespace separated), entered model mean (used in entered mode), entered model standard deviation (used in entered mode).
  2. Choose the stated convention and check the units and supported model.
  3. 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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