Skip navigation

p and c charts

p and c charts are the control charts used for discrete data, e.g., the total count of defects per unit or the number of defective units.

p charts

p charts are used for yes/no type data. They can show, for example, the number of defective units divided by the number of total units. This kind of charts are based in the binomial probability distribution. They are valid as far as the probability p that an item "fail" is the same for all the items.

The control limits in this kind of charts are defined as follows:

Upper control limit (UCL) Central line Lower control limit (LCL)

UCL

p-bar

LCL

Where:

p is the mean proportion of defective units within the samples;

Sigma sub p-hat is the standard deviation of the sample distribution, with n = sample size;

and typical values for z are 2 (more restrictive) or 3 (less restrictive).

p chart

c charts

c charts show the number of defects per unit. This kind of charts are based in the poisson probability distribution. 

The control limits in this kind of charts are defined as follows:

Upper control limit (UCL) Central line Lower control limit (LCL)

UCL

c-bar

LCL

Where:

c is the mean number of defects per unit;

and typical values for z are 2 (more restrictive) or 3 (less restrictive).

c chart

Complementary Excel files

An Excel file that can serve as a basis for creating p and c charts.