Quality & Metrology worked example

Defects Per Million Opportunities with defects found of 30 defects: a worked example

What does the result look like when defects found reaches 30 defects? The full calculation is worked below with real intermediate numbers. Use it to normalize defect levels across products and to convert to a process sigma level for Six Sigma reporting.

The inputs for this scenario

  • Defects found: 30 defects (raised for this scenario; the documented default is 12)
  • Total opportunities: 40,000 opportunities (unchanged)
  • Scaling factor: 1,000,000 x (unchanged)

Working through the calculation

  • Applying the documented formula (DPMO = (defects found ÷ total opportunities) × scaling factor) to the inputs above produces each figure below.
  • At this operating point the engine returns 750 DPMO for defect proportion, the number this scenario is built around.
  • At this operating point the engine returns 0 value for raw ratio.
  • At this operating point the engine returns 1,000,000 x for conversion factor.
  • At this operating point the engine returns 40,000 value for total opportunities.

How this compares with the baseline

  • Against the tool's baseline example, where defects found sits at 12 defects and the headline result is 300 DPMO, this scenario comes in 150% above the baseline at 750 DPMO.
  • A figure at this level is achievable when defects found is genuinely sustained, not just peaked for a shift. DPMO is only as honest as your opportunity count; inflating opportunities per unit artificially lowers DPMO without improving real quality, so the opportunity definition must be locked and audited.

Results at a glance

  • Defect proportion: 750 DPMO (headline result)
  • Raw ratio: 0 value
  • Conversion factor: 1,000,000 x
  • Total opportunities: 40,000 value

Run it with your numbers

  • Every input above is editable in the live Defects Per Million Opportunities calculator, which recalculates instantly and can be shared with the inputs intact.

Last reviewed 2026-05-12.