Business & pro

Defect rate, DPMO and sigma level

Your production quality: scrap rate, defects per million and Six Sigma level.

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How it works

DPMO = defects / (units × opportunities) × 1,000,000. Sigma level = inverse normal of the yield + 1.5 (conventional shift). Six Sigma = 3.4 DPMO.

Results are for guidance only and do not replace professional advice.

Worked example

With the default values:

  • Units produced12000
  • Defects found85
  • Defect opportunities per unit3
  • Cost per defect (rework, scrap, returns)18

you get:

  • Sigma level4.33 σ
  • DPMO (defects per million)2,361
  • First-pass yield99.764 %
  • Defects per unit0.0071

Frequently asked questions

How does the “Defect rate, DPMO and sigma level” tool work?

DPMO = defects / (units × opportunities) × 1,000,000. Sigma level = inverse normal of the yield + 1.5 (conventional shift). Six Sigma = 3.4 DPMO.

What do I need to enter?

Just fill in: units produced, defects found, defect opportunities per unit, cost per defect. The result updates as you type.

Can you give an example?

Units produced: 12000; Defects found: 85; Defect opportunities per unit: 3; Cost per defect (rework, scrap, returns): 18 → Sigma level: 4.33 σ; DPMO (defects per million): 2,361.

Is this calculator free, and is my data private?

Yes. HOD Calc is completely free with no sign-up. The calculation runs in your browser: nothing you type is sent or stored.