APPENDIX C

Table of Control Chart Constants

Constants for X-bar

chart

Constants for R chart

Constants for S chart

Sample
Size
= n

A2

A3

d2

D3

D4

B3

B4

2

1.880

2.659

1.128

-

3.267

0

3.267

3

1.023

1.954

1.693

-

2.574

0

2.568

4

0.729

1.628

2.059

-

2.282

0

2.266

5

0.577

1.427

2.326

-

2.114

0

2.089

6

0.483

1.287

2.534

-

2.004

0.030

1.970

7

0.419

1.182

2.704

0.076

1.924

0.118

1.882

8

0.373

1.099

2.847

0.136

1.864

0.185

1.815

9

0.337

1.032

2.970

0.184

1.816

0.239

1.761

10

0.308

0.975

3.078

0.223

1.777

0.284

1.716

11

0.285

0.927

3.173

0.256

1.744

0.321

1.679

12

0.266

0.886

3.258

0.283

1.717

0.354

1.646

13

0.249

0.850

3.336

0.307

1.693

0.382

1.618

14

0.235

0.817

3.407

0.328

1.672

0.406

1.594

15

0.223

0.789

3.472

0.347

1.653

0.428

1.572

16

0.212

0.763

3.532

0.363

1.637

0.448

1.552

17

0.203

0.739

3.588

0.378

1.622

0.466

1.534

18

0.194

0.718

3.640

0.391

1.608

0.482

1.518

19

0.187

0.698

3.689

0.403

1.597

0.497

1.503

20

0.180

0.680

3.735

0.415

1.585

0.510

1.490

21

0.173

0.663

3.778

0.425

1.575

0.523

1.477

22

0.167

0.647

3.819

0.434

1.566

0.534

1.466

23

0.162

0.633

3.858

0.443

1.557

0.545

1.455

24

0.157

0.619

3.895

0.451

1.548

0.555

1.445

25

0.153

0.606

3.931

0.459

1.541

0.565

1.435

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