I have a set of pipes that are supposed to receive balanced load from a source. For instance, with 100 of inputs if I have 5 pipes each is supposed to handle 20. But that's not the case in reality and normally it's like:
[23, 26, 19, 18, 14]
I'm working on a system to trigger an alarm if one of the pipes are underloaded or overloaded. So clearly I'm looking for outliers. I found that standard deviation would be good fit for detecting that but I wonder that the
mean of random numbers might skew the expected value (here 20).
So the question is, if instead of the mean I use 20 and calculate the SD based on that, how correct the final result will be? Or am I completely confused?
Few cases that might trigger the alarm:
[20, 20, 20, 3, 37] [20, 0, 20, 20, 40]