- #1

- 61

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σ(X)

^{2}≈ 1/(n-1) * ∑((x

_{i}-μ)

^{2}) where the sum is over all i"

I have two questions about this: firstly, how can this pertain to a "single measurement" if it requires the data from multiple measurements (x

_{1}, x

_{2}, x

_{3}, ... x

_{i})? Secondly, this seems to correspond to the sample variance - wouldn't it be a more accurate estimate of the value of X's random error to convert to the variance of the population of X as a whole?