Uncertainty Calculator

Uncertainty is the state of being uncertain (unknown). This uncertainty calculator allows you to perform calculations involving quantities with known (or) estimated uncertainties. Such uncertainties can be evaluated using the statistical analysis of a set of measurements.

Calculate Uncertainties of Multiple Measurements

Uncertainty is the state of being uncertain (unknown). This uncertainty calculator allows you to perform calculations involving quantities with known (or) estimated uncertainties. Such uncertainties can be evaluated using the statistical analysis of a set of measurements.

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Formula:

For Arithmetic Operations z = x + y   ,   dz = √((dx)2+(dy)2)) z = x - y   ,   dz = √((dx)2+(dy)2)) z = x * y   ,   dz = z * √((dx/x)2+(dy/y)2)) z = x / y   ,   dz = z * √((dx/x)2+(dy/y)2)) For Other Operations z = x ^ y    ,   dz = z * √(dy * dy * log(x) * log (x) + ((y*dx)/x)2) z = 1 /x     ,    dz = (dx / x) z = ln(x)    ,   dz= log(e) * (dx/ x) z = 10 ^ y   ,  dz = z * (dx * log(10)) Where, z = Uncertainity Value dz = Value of dz x = Value of x y = Value of y dx = Value of dx dy = Value of dy

An online uncertainty calculator for performing calculations involving quantities of known or estimated uncertainties. The calculations may involve algebraic expressions as well as mathematical operations.

Example A measurement of 6.07 g ± 0.02 g means that the experimenter is confident that the actual value for the quantity being measured lies between 6.05 g and 6.09 g. The uncertainty is the experimenter's best estimate of how far an experimental quantity might be from the 'true value.' The art of estimating the uncertainty is what error analysis is all about.
Note:Experimental uncertainties should be rounded to one significant figure.


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