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Re: [volt-nuts] Willy; averaged values

JF
Jan Fredriksson
Sun, Mar 9, 2014 10:13 AM

Willy,

Correct, with important assumptions:

  • that the uncertainty of each one is randomly independent of the other.
  • i think one also assumes the overall uncertainties have to have a
    Gaussian distribution.
    If you grab a handful of components / units, they may, or may not, show
    independently random distribution of values, depending on manufacturing.

I was told that the uncertainty goes down with the square root...?
That would mean 4 standards averaged together would cut the error in
half...
And 9 would cut it to one third.
Is this correct? If not, what is the formula?

Willy

Willy, Correct, with important assumptions: - that the uncertainty of each one is randomly independent of the other. - i think one also assumes the overall uncertainties have to have a Gaussian distribution. If you grab a handful of components / units, they may, or may not, show independently random distribution of values, depending on manufacturing. > I was told that the uncertainty goes down with the square root...? > That would mean 4 standards averaged together would cut the error in > half... > And 9 would cut it to one third. > Is this correct? If not, what is the formula? > > Willy >