- #1
olgerm
Gold Member
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How to calculate measurement uncertainty of m. I understand I should use these formulas to calculate it if I had data of many measurements, but when have only measurement then it becomes undefined, because of 0/0 in standard deviation formula.
##u(m)=\sqrt{u_a^2(m)+u_b^2(m)}##
##u_a(m)=\frac{s(m)\cdot Student(p;n_m)}{\sqrt(n_m)}##
##s(m)=\sqrt{\frac{\sum_{i=1}^{n_m}((m_i-\frac{\sum_{i=1}^{n_m}(m_i)}{n_m})^2)}{n_m-1}}##
##u_b(m)=\frac{_\Delta X_{scale}\cdot Student(p;\infty)}{\sqrt{3}}##
##u(m)=\sqrt{u_a^2(m)+u_b^2(m)}##
##u_a(m)=\frac{s(m)\cdot Student(p;n_m)}{\sqrt(n_m)}##
##s(m)=\sqrt{\frac{\sum_{i=1}^{n_m}((m_i-\frac{\sum_{i=1}^{n_m}(m_i)}{n_m})^2)}{n_m-1}}##
##u_b(m)=\frac{_\Delta X_{scale}\cdot Student(p;\infty)}{\sqrt{3}}##
- p is confidence level
- ##n_m## is number of measurements.
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