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Lean Six Sigma

Sigma levels explained: from DPMO to 6 sigma

What does a sigma level mean, how is it calculated from DPMO, and why does it matter for cost and customers?

Published · The Excellence Center

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A sigma level expresses how capable a process is of meeting customer requirements. The higher the sigma level, the fewer defects per million opportunities (DPMO).

Common reference values

Using the conventional 1.5-sigma long-term shift:

  • 2 sigma: about 308,500 DPMO
  • 3 sigma: about 66,800 DPMO
  • 4 sigma: about 6,210 DPMO
  • 5 sigma: about 230 DPMO
  • 6 sigma: about 3.4 DPMO

How to calculate it

  • Define what counts as a defect and an opportunity.
  • DPMO = defects ÷ (units × opportunities per unit) × 1,000,000.
  • Convert DPMO to a sigma level with a standard table or software.

Why it matters

Each step up the scale means far fewer defects, complaints and rework. Many organizations do not need six sigma everywhere; the aim is the right level for each critical-to-quality characteristic, improved where defects cost most.

FAQ

Frequently asked questions

Why 3.4 defects per million?

It reflects six standard deviations to the nearest limit with a 1.5-sigma allowance for long-term drift.

Can services use sigma levels?

Yes — for errors in transactions, documents or orders.

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