Quality & Metrology worked example

Defects Per Million Opportunities with defects found of 6 defects: a worked example

This worked example runs the defects per million opportunities numbers for a tougher week than the baseline: defects found of 6 defects instead of the typical 12 defects. Calculate defects per million opportunities (DPMO) from defects found, total opportunities, and a one million scaling factor.

The inputs for this scenario

  • Defects found: 6 defects (the input this scenario stresses; the baseline uses 12)
  • Total opportunities: 40,000 opportunities (held at the documented default)
  • Scaling factor: 1,000,000 x (held at the documented default)

Working through the calculation

  • The calculation starts from the formula this tool documents: DPMO = (defects found ÷ total opportunities) × scaling factor.
  • Defect proportion works out to 150 DPMO at these inputs, and this is the headline figure for the scenario.
  • Raw ratio works out to 0 value at these inputs.
  • Conversion factor works out to 1,000,000 x at these inputs.
  • Total opportunities works out to 40,000 value at these inputs.

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 50% below the baseline at 150 DPMO.
  • Use it during process capability studies, supplier scorecards, and Six Sigma DMAIC projects when you need a complexity-normalized quality number instead of a plain reject rate. A result at this level usually justifies acting on the stressed input before touching anything else, because every other figure in the table is downstream of it.

Results at a glance

  • Defect proportion: 150 DPMO (headline result)
  • Raw ratio: 0 value
  • Conversion factor: 1,000,000 x
  • Total opportunities: 40,000 value

Run it with your numbers

  • To rerun this with your own numbers, open the live Defects Per Million Opportunities calculator, set defects found to your actual value, and adjust the remaining inputs to match your operation.

Last reviewed 2026-05-12.