In mathematical terms, mean is the average of all numbers, and rang is the difference of the highest and lowest numbers in the set. Control limits refers to the lines drawn on statistical charts.
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You will need to calculate the grand mean (x double bar) and r bar. From those values and the chart for the constants, all listed in the related link, you will be able to calculate the control limits.
The definition of a range varies depending on the context. This may be used to mean the area variation between the lower and upper limits on a given area or it be used to mean a set of various things that are similar.
The mean, the median, the mode and the upper and lower limits of the range would each be reduced by the amount subtracted.
Calculate the mean, median, and range with the outlier, and then again without the outlier. Then find the difference. Mode will be unaffected by an outlier.
Undefined is defined. Define means to set the limits, explain. So, undefine means not to set limits or not to explain.