Using the Data Below, Determine the Trial Central Line and Trial

Using the data below, determine the trial central line and trial control limits for the X-bar chart. Subgroup size is 5. For the R chart, the trial central line is 0.11, the UCL is 0.23, and LCL is 0. Note not all of the subgroups are included in the data;however, the sums are correct. $$\begin{array} { | c | c | c | } \hline \text { Subgroup } & \text { X-bar } & \text { R } \\\hline 1 & 2.08 & .05 \\\hline 2 & 2.09 & .24 \\\hline 3 & 2.08 & .10 \\\hline \bullet & \bullet & \bullet \\\hline \bullet & \bullet & \bullet \\\hline \bullet & \bullet & \bullet \\\hline 25 & 2.09 & .11 \\\hline & ^{\mathrm { TM } }= 52.00 & ^{\mathrm { TM } }= 2.75 \\\hline\end{array}$$