Datatab

Six Sigma Calculator

On this page you can easily calculate relevant values for your production process, e.g. the DPMO value and the sigma level.

  • DPMO: Defects Per Million Opportunities
  • DPU: Defects Per Unit

DPMO & Sigma Level Calculator

DPMO Sigma Level (LT) Sigma Level (ST)
If DPMO is known:
1,500 2.97 4.47
If DPU is known:
1,998 2.88 4.38
If Yield is known:
50,000 1.64 3.14
Continuous process (normally distributed):
63.37 3.83 5.33

It is assumed that you are entering long-term data, short-term values are computed assuming a 1.5 Sigma Shift


4.5

1,349.97

Discrete Data situation

Situation 1
Defects, OFE Known
Defects
Sample
OFE
TOFE 8000
DPO 0.005
DPMO 5,000
Zlt 2.58
Zst 4.08
Situation 2
Defects, OFE unknown
Defects
Sample
DPU 0.1
DPMO 95,163
Zlt 1.31
Zst 2.81
Situation 3
Defectives
Defectives
Sample
Yield 99.75 %
DPMO 2,500
Zlt 2.81
Zst 4.31

Cp and Cpk calculator

  • Cp=Specification Width/Process Width
  • pk= min(Cpu, Cpl)
USL
LSL
Mean
Sigma within
Cp 8.33
Cpk 5

Six Sigma Table

Sigma DPMO Yield
6 3.4 99.99966%
5.5 32 99.99866%
5 233 99.977%
4.5 1350 99.87%
4 6210 99.38%
3.5 22750 97.70%
3 66807 93.3%
2.5 158655 84.1%
2.0 308538 69.1%
1.5 500005 50.0%
1 691462 30.9%
0.5 841345 15.9%

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Cite DATAtab: DATAtab Team (2024). DATAtab: Online Statistics Calculator. DATAtab e.U. Graz, Austria. URL https://datatab.net

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