Measurement analysis · 45 questions
Four ideas account for almost the whole measurement-analysis subject area: how a set of observations is summarised, how random error carries through a computation, how observations of unequal quality are combined, and how a result is judged against a tolerance. This drill works them until they are automatic.
s = √( Σv² / (n − 1) ) sample standard deviation
σ_mean = s / √n standard error of the mean
E_sum = √( ΣEᵢ² ) propagation through a sum
w = 1 / σ² weight from a standard deviationThe n − 1 is not a detail. With n observations of one unknown there are n − 1 degrees of freedom, and dividing by n understates the spread of a short set - which is the set a crew is most likely to have.
45 questions on standard deviation, error propagation, weighted means and closure tolerances, each with a worked solution. Measurement analysis questions also appear in the free daily round.
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