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Tables of Constants for Control charts
Table 8A - Variable Data
X bar and R Charts
Chart for Averages Control Limits Factor Subgroup size (n) 2 3 4 5 6 7 8 9 10 15 25 ref : AIAG manual for SPCX bar and s charts

Chart for Averages Chart for Standard Deviation (s) Chart for Ranges (R) Divisors Divisors to to Control Estimate Factors for Control estimate Factors for Control Limits FactorLimits Limits σx σx

A2 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.223 0.153

d2 1.128 1.693 2.059 2.326 2.534 2.704 2.847 2.970 3.078 3.472 3.931

D3 0.076 0.136 0.184 0.223 0.3470.459

D4 3.267 2.574 2.282 2.114 2.004 1.924 1.864 1.816 1.777 1.653 1.541

A3 2.659 1.954 1.628 1.427 1.287 1.182 1.099 1.032 0.975 0.789 0.606

c4 0.7979 0.8862 0.9213 0.9400 0.9515 0.95940.9650 0.9693 0.9727 0.9823 0.9896

B3 0.030 0.118 0.185 0.239 0.284 0.428 0.565

B4 3.267 2.568 2.266 2.089 1.970 1.882 1.815 1.761 1.716 1.572 1.435

Centerline X bar and R Charts

ControlLimits
UCLX = X + A2 R
LCL
X

σx
R d2

CL X = X
CLR = R

= X − A2 R

UCLR = D4 R
UCLX = X + A3 S

LCL R = D3 R

X bar and s Charts

CLX = X

LCL X = X − A3 S

CL s = s

UCL s =B4 s

LCL s = B 3 s

s c4

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Control Chart Factors

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Tables of Constants for Control charts
Table 8B VariableData
Median Charts
Chart for Medians Chart for Ranges (R) Chart for Individuals Control Limits Factor E2 2.660 1.772 1.457 1.290 1.184 1.109 1.054 1.010 0.975 ref : AIAG manual for SPC

Charts forIndividuals
Chart for Moving Range (R) Divisors to Estimate Factors for Control σx Limits d2 1.128 1.693 2.059 2.326 2.534 2.704 2.847 2.970 3.078 D3 0.076 0.136 0.184 0.223 D4 3.267 2.574 2.2822.114 2.004 1.924 1.864 1.816 1.777

Control Divisors to Limits Estimate Factors for Control Factor Limits σx Subgroup size 2 3 4 5 6 7 8 9 10

~ A2
1.880 1.187 0.796 0.691 0.548 0.508 0.433 0.412...
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