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Cpk calculator

Enter your process data and get instant Cpk, Ppk and Cp values. Used by quality engineers to check process capability against ISO 9001 and IATF 16949 requirements.

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Process capability calculator Free
Mean (x̄)
Std deviation (σ)
USL
LSL
Cpk
1.37
Cp
1.39
Cpk min side
CPU
Process is capable (Cpk ≥ 1.33)

Cpk 1.37 — process meets ISO 9001 requirements. For IATF 16949 new products, target Cpk ≥ 1.67.

What is Cpk and how is it calculated?

Cpk (Process Capability Index) measures how well a manufacturing process fits within its specification limits, taking into account both the spread and the centering of the process. A higher Cpk means fewer defects and a more capable process.

While Cp only measures the spread of the process relative to the specification width, Cpk also accounts for how centered the process mean is within the tolerance band. A process can have a good Cp but a poor Cpk if it is shifted toward one of the specification limits.

CPU =(USL − x̄) / (3σ)
CPL =(x̄ − LSL) / (3σ)
Cpk =min(CPU, CPL)
Cp =(USL − LSL) / (6σ)

Where is the process mean, σ is the process standard deviation, USL is the upper specification limit, and LSL is the lower specification limit.

Cpk vs Ppk: Cpk uses within-subgroup standard deviation (short-term variation). Ppk uses overall standard deviation (long-term). Cpk is typically higher. A large gap between them suggests the process mean shifts over time.

Cpk valueInterpretationTypical standardStatus
≥ 1.67Excellent — highly capable processIATF 16949 new products✓ Excellent
≥ 1.33Good — process is capableISO 9001, ongoing production✓ Capable
1.00 – 1.33Marginal — monitor closelyMay require corrective action⚠ Marginal
< 1.00Not capable — producing defectsImmediate action required✗ Not capable
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