Process capability Cp and Cpk calculator

Calculate cp and cpk with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use cp and cpk to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Lower specification limit (measurement units)
0
Upper specification limit (measurement units)
12
Process mean (measurement units)
7
Within-process standard deviation (measurement units)
2
Cp
1
Cpk
0.833333
Limiting specification side
Upper

Try another scenario

Lower specification limit (measurement units)
0
Upper specification limit (measurement units)
12
Process mean (measurement units)
9
Within-process standard deviation (measurement units)
2
Cp
1
Cpk
0.5
Limiting specification side
Upper
Calculation method

Calculation method

Cp

(USL-LSL)/(6*sigma).

Cpk

min(USL-mean,mean-LSL)/(3*sigma).

Limiting specification side

Upper if USL-mean < mean-LSL, lower if reverse, both if equal.

Symbols and units
a
Lower specification limit (measurement units)
b
Upper specification limit (measurement units)
c
Process mean (measurement units)
d
Within-process standard deviation (measurement units)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Descriptive supplied-sigma index only. Distinguish within-process versus overall deviation. No stability, normality, pass-rate, certification or acceptance threshold is inferred. Supported limits: USL>LSL; sigma>0; finite mean; a mean outside limits can produce negative index.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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