DPMO Calculator — Defects Per Million Opportunities
Enter defects, units inspected, and opportunities per unit to calculate DPMO, the Six Sigma process sigma level, and process yield.
Defects per million opportunities
- 1
Total opportunities
1000 × 10 = 10 000 - 2
Defect ratio
5 ÷ 10 000 = 0,0005Fraction of all opportunities that produced a defect. - 3
DPMO
0,0005 × 1,000,000 = 500
Как работи този калкулатор?
DPMO = (defects ÷ (units × opportunities)) × 1,000,000. The sigma level equals Φ⁻¹(1 − DPMO/10⁶) + 1.5, where the +1.5 is the long-term shift assumed by Six Sigma. A 3σ process has 66,807 DPMO and 93% yield; a 6σ process has just 3.4 DPMO and 99.99966% yield.
Формула
How this is calculated
DPMO (Defects Per Million Opportunities) is the standard metric in Six Sigma quality management for comparing process performance on a common scale. An "opportunity" is any point in a process where a defect could occur. Total opportunities equal the number of units multiplied by the opportunities per unit. DPMO is then defects divided by total opportunities, scaled to one million: DPMO = (D ÷ (U × O)) × 1,000,000.
The Six Sigma level (σ) converts DPMO to a standard normal score using the inverse normal CDF plus the conventional ±1.5σ long-term shift: sigma = Φ⁻¹(1 − DPMO/1,000,000) + 1.5. This shift accounts for the fact that a real process mean drifts over time. The formula links DPMO to how many standard deviations the process mean sits from the nearest specification limit: a Six Sigma process produces at most 3.4 DPMO.
Process yield is the percentage of defect-free opportunities: yield = (1 − DPMO/1,000,000) × 100%. The sigma-level gauge runs from 0 (very poor) to 6 (world-class). Typical manufacturing operates at 3–4σ; highly reliable industries (aerospace, medical devices) target 5–6σ.
Често задавани въпроси
A Six Sigma process produces at most 3.4 defects per million opportunities (assuming the long-term ±1.5σ mean shift). That corresponds to a process yield of 99.99966%. In practice very few processes reach this level.
An opportunity is any point, step, component, or characteristic where a failure to meet the specification is possible. For a form, each field is one opportunity. For a circuit board, each solder joint is one opportunity. Be consistent across batches for valid comparisons.
At 3σ (66,807 DPMO, ≈93.3% yield) the process is considered below average for most manufacturing. At 4σ (6,210 DPMO, ≈99.4% yield) it meets many commercial standards. At 6σ (3.4 DPMO, 99.99966% yield) it is world-class.
Известен също като
TG we-Calculate Editorial Team. (2026). DPMO Calculator — Defects Per Million Opportunities [Online calculator]. TG we-Calculate. https://we-calculate.com/bg/calculator/dpmo-calculator
TG we-Calculate Editorial Team. "DPMO Calculator — Defects Per Million Opportunities." TG we-Calculate. 2026. https://we-calculate.com/bg/calculator/dpmo-calculator.
TG we-Calculate Editorial Team, "DPMO Calculator — Defects Per Million Opportunities," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/bg/calculator/dpmo-calculator
@misc{wecalculate_dpmo_calculator, title = {DPMO Calculator — Defects Per Million Opportunities}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/bg/calculator/dpmo-calculator}}, year = {2026}, note = {TG we-Calculate} }
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