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B D H E F 8.15 Average and Range Chart. Calculate the Upper and Lower Control Limits if: X-double bar = .490, n = 10, and R-bar = 210. 8.15A Calculate Sigma Hat if R-bar is 2.75 and n = 7. 8.16 Average and Sigma Chart. Calculate the Upper and Lower Control Limits if: X-double bar = .700, n = 5, and s-bar = .100. 8.17 x and MR Chart. Calculate the Upper and Lower Control Limits if: x-bar = 4.00, n = 2, and R-bar = .280