QM Bench

Cpk 2.50: PPM, sigma level and yield

A process with Cpk 2.50 produces about 6.4e-8 defective parts per million when it is centred between two limits. Six Sigma level capability: far beyond typical requirements.
MeasureValue
PPM, two-sided, centred6.4e-8
PPM, one side only3.2e-8
Yield (two-sided)100.00000 %
Sigma level Z = 3 · Cpk7.50
Long-term PPM with 1.5 σ shift9.9e-4
Distance mean to nearest limit7.50 σ

What Cpk 2.50 means

Cpk compares the distance between the process mean and the nearest specification limit with three standard deviations. At Cpk 2.50 the nearest limit is 7.50 standard deviations away from the mean. The PPM values above assume a normal distribution and a stable process; for skewed data use a fitted distribution in the capability study.

Six Sigma level capability: far beyond typical requirements. Remember that a Cpk calculated from a small sample is uncertain: with 30 values the 95 % confidence interval is roughly ±0.4. Plan the number of parts with the sample size calculator.

Compare with other values

Cpk 2.33Cpk 3.00Convert any value · What is a good Cpk?

Frequently asked questions

How many PPM is Cpk 2.50?

For a normal, stable process centred between two specification limits, Cpk 2.50 corresponds to 6.4e-8 PPM (defects outside both limits). If only one limit matters or the process sits at one side, it is 3.2e-8 PPM.

What sigma level is Cpk 2.50?

Z = 3 × Cpk = 7.50. With the Six Sigma 1.5 sigma long-term shift, the expected long-term defect rate is about 9.9e-4 PPM.

Is Cpk 2.50 good?

Six Sigma level capability: far beyond typical requirements.

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