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math.six-sigma-dpmo Calculator
Converts between DPMO (defects per million opportunities), sigma level, and process yield in both the short-term and long-term (with 1.5σ shift). Six sigma (3.4 DPMO) corresponds to 99.99966% defect-free output — used as the quality standard in manufacturing and services.
Inputs
Defects
Count of items or occurrences.
Units
Count of items or occurrences.
Opportunities Per Unit
Reference formula or conversion factor shown for context.
Results
DPMO
Reference formula or conversion factor shown for context.
process sigma level
The measured or computed level on the applicable scale.
first-pass yield
Reference formula or conversion factor shown for context.
DPO
Reference formula or conversion factor shown for context.
6σ = 3.4 DPMO
Reference formula or conversion factor shown for context.
rolled throughput yield
Amount of work completed per unit time — requests per second, MB/s, or transactions per second.