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SPC control chart calculator — X-bar/R, p, np, c and u

Choose a chart type and paste measurements or defect counts in sample order.

Points outside control limits: —

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

Samples
—
Centre line
—
Last-sample LCL
—
Last-sample UCL
—
Mean range R-bar
—
Lower R limit
—
Upper R limit
—

Samples and control limits

Sample Observed Centre LCL UCL Signal 1/0
Fill in the fields above — the result is computed on this page.
What do these numbers mean?
  • For X-bar/R enter observations in sequence and a fixed subgroup size from 2 to 10.
  • For p and u enter one sample size per observation.
  • Investigate process signals before assessing capability against specifications.

The tool flags individual points beyond 3-sigma limits. It does not test runs, trends or other Nelson rules and does not replace a sampling plan.

How do I use this page?
  1. Choose the chart that matches the data type.
  2. Paste observations in time order and set sample sizes.
  3. Review the limits, signals and chart.

What this page does not do: The tool flags individual points beyond 3-sigma limits. It does not test runs, trends or other Nelson rules and does not replace a sampling plan.

Further reading

Theory — what are SPC control charts?

SPC control charts separate the natural, common variation of a process from signals that are worth investigating. The X-bar/R chart handles measurements collected in equal-sized subgroups, p and np charts track the share of defective units, while c and u charts count nonconformities per sample. Control limits are calculated directly from the analyzed data, not from a predefined tolerance — they differ from tolerance limits, which are set by design, customer requirements or a standard rather than by the process itself.

Frequently asked questions

How is a control limit different from a specification?
A control limit is estimated from process behaviour. A specification is set by design, customer or standard.
Does a point inside the limits prove good quality?
No. A stable process can still fail the required specification.

See also

← All calculators

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