QM Bench

Sigma level

Six Sigma performance scale

Z = 3 · Cpk; DPMO = Φ(−(Z − 1.5)) · 10⁶

The number of standard deviations between the process mean and the nearest limit. By Six Sigma convention a long-term shift of 1.5 sigma is assumed, so a 6 sigma process corresponds to 3.4 defects per million opportunities.

Calculate it

Cpk, PPM and Sigma Converter: Convert Cpk, PPM, yield and sigma level, with or without 1.5 σ shift.

Related terms

  • PPM: parts per million defective
  • Cpk: process capability index