AVEVA™ Manufacturing Execution System 2023 R2

c Chart

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The following table contains the formulas used to calculate LCL and UCL for a chart point.

The example in this table illustrates the control limits calculated for a sample size of 15.

Formula	Example
Mean = CL = * n LCL = – (3 * ) UCL = + (3 * ) where n is the actual sample size from the sample. If LCL < 0, then LCL = 0; otherwise LCL	Mean = = 0.55224 CL = 0.55224 * 15 = 8.28358 LCL = 8.28358 – (3 * ) = –0.35078 LCL = 0 UCL = 8.28358 + (3 * ) = 16.91795

Formula

Example

Mean =

CL = * n

LCL = – (3 * )

UCL = + (3 * )

where n is the actual sample size from the sample.

If LCL < 0, then LCL = 0; otherwise LCL

Mean = = 0.55224

CL = 0.55224 * 15 = 8.28358

LCL = 8.28358 – (3 * ) = –0.35078

LCL = 0

UCL = 8.28358 + (3 * ) = 16.91795

The following table shows example control limits calculated for each chart point.

Label	Chart Point (Count)	Size	LCL	CL	UCL	Lower σ	Upper σ
1	3	15	0	8.283582	16.91795	2.761194	2.878123
2	8	9	0	4.970149	11.65830	1.656716	2.229384
3	10	15	0	8.283582	16.91795	2.761194	2.878123
4	6	15	0	8.283582	16.91795	2.761194	2.878123
5	2	15	0	8.283582	16.91795	2.761194	2.878123
6	11	20	1.074672	11.04478	21.01488	3.323369	3.323367
7	9	15	0	8.283582	16.91795	2.761194	2.878123
8	5	15	0	8.283582	16.91795	2.761194	2.878123
9	20	15	0	8.283582	16.91795	2.761194	2.878123