# Cp Formula

Process capability is a technique to find out the measurable property of a process to a specification. Generally, the final solution of the process capability is specified either in the form of calculations or histograms

\[\LARGE Cp=\frac{USL – LSL}{6\times\sigma}\]

Where,

USL is the upper specification limit

LSL is the lower specification limit and

$\sigma$ is the standard deviation.

### Solved Examples

**Question 1:**Calculate Cp whose USL, LSL and $\sigma$ are 10, 6 and 3 respectively?

** Solution: **

From the equation, it is given that

USL = 10, LSL = 6 and $\sigma$ = 3

Formula for Cp is,

Cp = $\frac{USL-LSL}{6\times\sigma}$

USL = 10, LSL = 6 and $\sigma$ = 3

Formula for Cp is,

Cp = $\frac{USL-LSL}{6\times\sigma}$

Cp = $\frac{10-6}{6\times3}$

Cp = 0.222