Determining reliability



I need to determine the reliability of the precision of the value I
obtain for the average of a series of measurements.

Every measurement consists of measuring the exact same thing, only
there is noise in my measurements, so the only way for me to obtain a
reliable value for what i'm trying to measure is to calculate the
average of the measurements. Only once it's done, I have no idea on how
reliable the precision of this average value is, in other words, I
don't know how many signficant figures after the point I have.

So how do I find out how reliable the precision of the average value of
all my measurements is? I thought about for example perfoming 10 sets
of 10 mesurements, and "compare" (i think i mean calculate the
deviation) the average value of each, in order to get an idea of the
reliability on a set of 10 mesurements, however I'm not sure it would
indicate me reliability in a very, reliable way, well I don't know I'm
a bit confused with all that I admitt.

I just wish to find out how, for example on a single set of 100
mesurements I can determine the reliability of the average value, I
looked around but didn't find a way to do that so far.

.



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