What does this mean: "it is asked to assess if the "process" providing the data is IC (In Control) or OOC (Out Of Control)"
Is this a homework problem? How was the data collected? Is it in a time series? Is it in any rational order? If not, then perhaps X, MR charts are not appropriate. You can do some distributional analysis for outliers, but IC and OOC implies a rational series of(e.g., time).
Do you understand the meaning of IC and OOC? Both of these are a function of how the data was collected and what comparisons are being made. For example, an X, MR chart compares short-term variation as estimated by the range of consecutive data points (and shown as control limits on the X chart) to long term variation the X's plotted on the chart. If you were to have rational subgroups, the charts would compare within subgroup variation to the between subgroup variation.
For distributional assumptions related to control chart method (or lack thereof), please see:
Shewhart, Walter A. (1931) “Economic Control of Quality of Manufactured Product”, D. Van Nostrand Co., NY
Wheeler, Donald, and Chambers, David (1992) “Understanding Statistical Process Control” SPC Press (ISBN 0-945320-13-2)
"All models are wrong, some are useful" G.E.P. Box