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DPMO, ppm and sigma level calculator

Calculate defects per unit (DPU), defects per million opportunities (DPMO), yield and sigma level the Six Sigma way, with the 1.5σ shift.

Sigma level (short term)
–σ
DPMO
–
DPU
–
Yield
–%
Sigma level (long term)
–σ

How it works

DPMO scales the number of defects to one million opportunities, so products of different complexity can be compared. The sigma level includes the conventional 1.5σ long-term shift used in Six Sigma tables: 3.4 DPMO corresponds to 6σ.

Formula

DPU = defects / units
DPMO = defects / (units × opportunities) × 10⁶
σ = Φ⁻¹(1 − DPMO/10⁶) + 1.5

An opportunity is a characteristic that can go wrong and can be checked, such as a solder joint or a drilled hole. If you only judge each unit as good or bad, use one opportunity per unit; DPMO is then equal to ppm.

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