determine the smallest number that your sure is larger than the true answer. (2) determine the largest number that you are sure is smaller than the true answer. (3) take the geometric average of the two. (i.e., sqrt(a * b))
The reason this does well, is that oftentimes, (1) overestimates the true answer by roughly the same multiplicative factor as (2) underestimates the true answer by. So the geometric mean cancels the over and under estimates in order to get an estimation that does pretty well.
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determine the smallest number that your sure is larger than the true answer. (2) determine the largest number that you are sure is smaller than the true answer. (3) take the geometric average of the two. (i.e., sqrt(a * b)) The reason this does well, is that oftentimes, (1) overestimates the true answer by roughly the same multiplicative factor as (2) underestimates the true answer by. So the geometric mean cancels the over and under estimates in order to get an estimation that does pretty well.