(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose I have N [tex]x_{i}[/tex] measures with a given uncertainty [tex]\Delta x_{i}[/tex].

I want to have the best estimate for [tex]\bar{x}[/tex] and its uncertainty [tex]\bar{\Delta x}[/tex]

2. Relevant equations/3. The attempt at a solution

Well, I'm not exactly sure because or I can have a mean value of x_i and uncertainty given by standard mean and standard deviation/N formulas and I disregard the measurement uncertainties, or I use the (mean of the [tex]\Delta x_{i}[/tex])/N to the uncertainty of [tex]\bar{x}[/tex] and disregard how x_i are close to the mean [tex]\bar{x}[/tex].

Is there any way of joint both uncertainties together?

Even if you don't explain it in here, can you give me literature where you know where I find it?

Thanks,

littlepig

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# Homework Help: Uncertainty of measurements

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