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Quality Control: X bar, R, and S charts


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All data in 1 variable, each subgroup has 5 numbers
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X bar chart 
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Calculate limits with Range: mean(xbar) +/- A2*(R_bar) 
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( A2 = 0.577 )


X bar Chart (by R) CL:  2710.181  LCL:  -300.3669 , UCL:  5720.729 

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Calculate limits with S: mean(xbar) +/- A3*(S_bar) 
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( A3 = 1.427 )



X bar Chart (by S) CL:  2710.181  LCL:  -432.1985 , UCL:  5852.56 

red limits: via R

blue limits: via S 

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R chart
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CL = R_bar, LCL = D3*R_bar, UCL = D4*R_bar 
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( D3 = 0.000 , D4 = 2.114 )


R Chart CL:  5217.587  LCL:  0 , UCL:  11029.98 

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S chart
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CL = S_bar, LCL = B3*S_bar, UCL = B4*S_bar 
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( B3 = 0.000 , B4 = 2.089 )


S Chart CL:  2202.088  LCL:  0 , UCL:  4600.162