"Christian JAMMES" <[EMAIL PROTECTED]> wrote in message news:<[EMAIL PROTECTED]>...

> Assuming a set of measurements:
> (m(i); sd(i)) with u(i) = measured value and u(i) = standard uncertainty
> If one could propose the overall mean value mtot as being the weighted mean
> value:
> 
> mtot = sum(w.*m/sum(w)) with w(i)=1/u(i)^2,
> 
> what the hell could be the overall variance vartot:
> 
For any fixed weights w(i) and mutually independent measures m(i),

var(sum(w(i)*m(i))/sum(w(i))) = sum(w(i)^2*var(m(i)))/(sum(w(i)))^2.
.
.
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