# How to Calculate the Centerline of P Charts

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Control charts are used to determine stability and monitor changes to a process. A p-chart is a type of control chart used with attribute or categorical data, such as yes-no, win-lose or defect-no defect, according to the Quality Advisor website. Because the data is in the form of proportions, subgroup size can vary over collection periods. The centerline of a p-chart is the expected value of the proportions and is calculated based on sample data.

### Things You'll Need

• Calculator
• Arrange data in two columns, with the first being the total number in the subgroup and the second being the total number of defects. If you were measuring number of defective toasters over the course of a year, the data may look like this:

500

400

200

200

100

90

145

256

345

321

567

Defects

250

267

273

266

276

220

205

296

237

265

154

• Sum the total of the subgroups. In this example, the total number of toasters made over the course of the year is 3,124.

• Sum the total defects. In this example, the total number of defective toasters is 2,709.

• Divide the total of the subgroup by the total defects to derive the centerline of the p-chart. In this example: 2,709/3,124 = 0.87.

## References

• Photo Credit Jupiterimages/Pixland/Getty Images
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