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sci.statistical-process-control-Cpk Calculator
Calculates process capability indices Cp = (USL−LSL)/(6σ) and Cpk = min((USL−µ)/3σ, (µ−LSL)/3σ) from process data. Cpk > 1.33 (4σ) is the minimum for critical characteristics — Six Sigma processes have Cpk ≥ 2.0 (6σ) yielding 3.4 DPMO.
Inputs
Mean X
Arithmetic average. Sensitive to outliers — if your data has extreme values, the median may be more representative.
Std Sigma
Average spread around the mean. In a normal distribution: 68% within ±1 SD, 95% within ±2 SD, 99.7% within ±3 SD.
Usl
Reference formula or conversion factor shown for context.
Lsl
Reference formula or conversion factor shown for context.
Results
Cpk (process capability index)
A normalised score comparing the result to a reference baseline.
Cp (potential capability)
Sample size or count used in the calculation.
Cpu (upper capability)
Reference formula or conversion factor shown for context.
Cpl (lower capability)
Reference formula or conversion factor shown for context.