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A Fermi problem is an estimation problem in physics or engineering education, named after Enrico Fermi. Learn how to use dimensional analysis, guesses and bounds to make order-of-magnitude estimates of extreme scientific calculations.
Learn about the history and examples of rough calculations jotted down on any available scrap of paper, such as an envelope or a napkin. Find out how physicists, engineers, and businessmen use this technique to estimate problems and ideas.
Variance is a measure of how far a set of numbers is spread out from their mean. Learn the definition, formula, examples, and properties of variance for discrete and continuous random variables, and how to calculate it from samples or populations.
Welford's algorithm is a numerically stable way to compute the variance of a sequence in a single pass, using the sum of squares of differences from the mean. Learn the formula, implementation, and analysis of this algorithm, as well as its variations and alternatives.
Order of magnitude is a concept that compares numbers based on their ratio and power of 10. Learn how to calculate, use and apply order of magnitude in different contexts and domains.
Learn the definition and examples of bias and unbiasedness of an estimator in statistics. Compare different types of bias and unbiasedness, such as mean-unbiasedness and median-unbiasedness, and how they affect the performance of estimators.
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