TABLES OFCONSTANTS AND FORMULAS FORCONTROLCHARTS

Median Charts

Charts for Individuals

Chartfor
Individuals

Chartfor

Chart for Ranges (R)

Chart for Ranges (R)

Divisors for Estimate of
Standard
Deviation

Divisors for Estimate of
Standard
Deviation

Factors for
Control
Limits

Factors for
Control
Limits

Factors for
Control
Limits

Factors for
Control
Limits

Subgroup
Size

2
3
4
5

6
7
8
9
10

Shewhart Formula:

A₂ 1.880 1.187 0.796 0.691

0.548 0.508 0.433 0.412 0.362

d₂ 1.128 1.693 2.059 2.326

2.534 2.704 2.847 2.970 3.078

D₃

D₄ 3.267 2.574 2.282 2.114

2.004 1.924 1.864 1.816 1.777

E₂ 2.660 1.772 1.457 1.290

1.184 1.109 1.054 1.010 0.975

d₂ 1.128 1.693 2.059 2.326

2.534 2.704 2.847 2.970 3.078

D₃

D₄ 3.267 2.574 2.282 2.114

2.004 1.924 1.864 1.816 1.777

- - - -

- 0.076 0.136 0.184 0.223

- - - -

- 0.076 0.136 0.184 0.223

[!]

UCL_X, LCL_X

=

UCL_R LCL_R s^[!]
=

= =

UCL_R LCL_R s^[!]
=

=

=

D

/ d₂

2