# 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%

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