Samples from process to be controlled Range (R) Sample Number Mean (X) 24.78 Sample Values 1.80 124.86 24.86 1 25.06 25.46 25.06 3.20 23.66 24.66 2 24.06 24.46 12.20 13 25.46 25.86 25.46 25.66 26.26 25.86 23.26 23.86 3.00 4 123.70 25.10 23.66 122.66 23.26 22.66 23.66 23.06 23.06 123.26 122.86 26.26 12.60 15 24.86 23.66 23.86 23.98 2.80 6 25.26 26.26 3.20 7 2.80 18 22.66 23.86 23.06 24.46 23.46 23.26 24.86 23.46 124.26 24.66 123.26 24.86 23.26 23.06 24.26 3.80 24.70 24.86 125.02 24.90 25.06 26.06 26.66 26.46 26.06 19 2.20 10 13.00 24.26 23.06 22.66 24.06 3.80 112 26.46 26.26 24.98 3.00 23.26 13 25.66 25.26 26.46 25.06 125.86 24.26 25.46 25.46 26.06 26.46 24.46 25.06 23.86 30.06 3.00 124.86 25.66 124.46 25.66 23.66 25.06 24.46 23.86 24.66 23.66 25.06 23.86 28.26 23.06 22.86 14 3.20 15 26.06 26.06 26.66 25.66 125.46 24.46 24.38 25.18 23.86 12.80 16 23.86 3.00 22.66 22.86 17 1.60 18 24.26 23.26 23.86 22.66 27.66 2.60 24.74 23.78 29.02 19 125.26 31.06 3.40 28.06 20 Using the above table of samples the preliminary UCLR is calculated as The preliminary LCLA is calculated as 0. the final LCLR is calculated as 0, and the R control chart mean is calculated as After discarding any points that fall outside the control limits the final UCLR is calculated as Using the above table of samples the preliminary UCLR is calculated as The preliminary LCLR is calculated as 0. After discarding any points that fall outside the control limits the final UCLg is calculated as the final LCLR is calculated as 0, and the R control chart mean is calculated as We now need to calculate the X charts control limits. The preliminary UCLy is calculated as and the preliminary LCL is calculated as After discarding any outlying samples, and repeating until no samples are outside the limits, the final mean is with a final UCLg of and a final LCL7 of Save and revi