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Cp & Cpk Calculator

Created: 7th Apr 2025


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Cp Formula / How to Calculate Cp

USLLSL6s\frac{\text{USL} - \text{LSL}}{6s}

Where:

LSL\text{LSL}
 — Lower specification limit
USL\text{USL}
 — Upper specification limit
ss
 — Standard deviation

Cpk Formula / How to Calulate Cpk

minimum of:
USLXˉ3s\frac{\text{USL} - \bar{X}}{3s}
and
XˉLSL3s\frac{\bar{X} - \text{LSL}}{3s}

Where:

LSL\text{LSL}
 — Lower specification limit
USL\text{USL}
 — Upper specification limit
Xˉ\bar{X}
 — Mean
ss
 — Standard deviation

Interpretation of Cp and Cpk:

Cp ≥ 1.3
 — fair
Cp ≥ 1.7
 — very good
Cp ≥ 2.0
 — world class

Your choice of benchmark should take into account previous best performance, whether you're using long or short-term data, and the requirements of your industry.

Prework Checklist


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