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Control chart and process capability calculator

Paste measurements in time order and enter lower and upper specification limits. The tool builds an individuals chart from moving ranges and calculates Cp and Cpk.

Cpk: —

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

Measurements
—
Mean
—
Average moving range
—
Sigma estimate
—
Lower control limit
—
Upper control limit
—
Cp
—
Cpk
—
Points outside control limits
—

Individuals control chart

The line shows measurements over time. Horizontal lines mark the mean, control limits and specification limits.

Measurements and signals

No. Measurement Mean LCL UCL Outside control (1 = yes)
Fill in the fields above — the result is computed on this page.
What do these numbers mean?
  • Cpk cannot exceed Cp and decreases as the mean approaches either specification limit.
  • A point beyond control limits is a signal to investigate the process, not automatic proof of a bad measurement.

The model uses an individuals chart and sigma ≈ average moving range / 1.128. It does not replace measurement-system, normality, autocorrelation or SPC plan reviews.

How do I use this page?
  1. Paste measurements in their true time order.
  2. Enter approved specification limits.
  3. Inspect chart stability before interpreting Cp and Cpk.

What this page does not do: The model uses an individuals chart and sigma ≈ average moving range / 1.128. It does not replace measurement-system, normality, autocorrelation or SPC plan reviews.

Further reading

Theory — how do control limits differ from specification limits?

Control limits describe the variation actually observed in the process and are estimated from the moving range of consecutive measurements, while specification limits come from requirements and should not be confused with them. Cp compares the width of the specification range to the process spread, and Cpk additionally accounts for how far the process is shifted from the center of that range. The calculator builds an individuals chart from the measurements you paste in time order, together with the given LSL and USL.

Frequently asked questions

Are LSL and USL control limits?
No. Specifications come from requirements; control limits are estimated from process behaviour.
What Cpk is good?
The threshold depends on the industry, risk and agreement. A single index is insufficient without a stable process and reliable measurement system.

See also

← All calculators

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