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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
Institute of Quality and Reliability www.world-class-quality.com
Control Chart Factors
Page 1 of 3
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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