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Process Capability Cp and Cpk Calculator — result sheet
Calculate Cp and Cpk from specification limits, process mean, and process standard deviation.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Cp=(USL−LSL)/(6σ); Cpk=min((USL−mean)/(3σ),(mean−LSL)/(3σ)).
The page separates spread capability from centering capability and does not turn a ratio into a compliance decision.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Lower specification limit — minimum -1000000000000; maximum 1000000000000
- Upper specification limit — minimum -1000000000000; maximum 1000000000000
- Process mean — minimum -1000000000000; maximum 1000000000000
- Process standard deviation — minimum 1.0E-6; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Lower specification limit | 90 |
| Upper specification limit | 110 |
| Process mean | 100 |
| Process standard deviation | 2 |
Cp ≈1.6667; Cpk ≈1.6667.
Assumptions and limits
- Upper limit exceeds lower limit and standard deviation is positive.
- The process is summarized by one stable mean and standard deviation.
- Normality, control-chart stability, measurement-system error, and customer risk are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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