# Various Defect Levels of 6 Sigma

Six Sigma – iSixSigma Forums Old Forums General Various Defect Levels of 6 Sigma

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• #30732

Ram Kannan
Participant

Would like to have the defect levels…
e.g.3.4 for a million opportunities for 6 Sigma
66.738 for a million for 3 sigma?
What are the other levels..
Thanx
Kannan

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#80425

Jeff
Participant
#80429

Jasi
Participant

Sigma                      Defects per million
5.9                          5
5.8                         8
5.7                        10
5.6                        20
5.5                         30
5.4                         40
5.3                         70
and it goes on in case you need the enire table email me

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#80435

Robert Butler
Participant

To compute any defect level you wish do the following:
1. Find a statistics book with the table for the cumulative standardized normal distribution function.  This table will be in the appendix.
2. Subtract 1.5 from your Sigma Value  – the number that you have is called the Z score.
3. Using the Z score, look up the associated probabilty in the table listed in #1.
4. Multiply this probability by 1,000,000.
5. Subtract the result obtained in 4 from 1,000,000. This value is your DPMO.
Examples:
Sigma Value = 5
5 – 1.5 = 3.5 = Z score
From the normal table a Z score of 3.5 has a probability of .9997674.
.9997674 X 1,000,000 = 999767.4
1,000,000 – 999767.4 = 232.6 DPMO

Sigma Value = -1.2
-1.2 – 1.5 = -2.7 = Z score
From the normal table a Z score of -2.7 has a probability of .003467.
.003467 X 1,000,000 = 3467
1,000,000 – 3467 = 996,533   Therefore your process has 996,533 DPMO

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