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I need a help, primarly a confirmation about my reasoning. I have data from a MonteCarlo simulation of collisions between particles at LHC (made with Madgraph). I have plotted some variables, for example the angle between two final leptons. Then I have normalized the plot to a determined integrated luminosity, so I have applied a weight to the histogram. I'd like to put error bars due to the uncertainty of the generated event from the MonteCarlo, which is a poisson error. So I have taken the content of each bin and then made the square root. But I have some doubt. First of all, shouldn't I take into consideration the weight in some way? Secondly, I'm not so sure about ##\sqrt{N}##, because maybe it should be something like ##\frac{\sqrt{N}}{N-1}.##

Thanks in advance