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in this example well calculate the upper and lower control limits for a C chart given the following data so in statistical process control if your characteristic characteristic of interest is some sort of rate or count over time then you can calculate AC chart where each one of these is account for each subgroup so in this example we want to calculate x-bar plus or minus so to get our lower and upper control limit of 3 times the square root of x bar this is the lower and upper control limit calculation so the first thing we need to do is find x-bar which is basically just the average of these counts so this is the summation of each count from each group divided by the number of subgroups K from 1 decay so in this example if we add up all these values we get 211 divided by 12 thats the number of subgroups in this example so thats K so this comes out to be about 17.5 8 so from here then we can just plug this into our formula so 17.5 8 plus or minus 3 times the square root of seventee