the.com/variance

the math of how wildly things scatter before averages smugly claim everything was fine

means The statistical measure of how far a set of values spreads out from their mean, calculated as the average of the squared differences from that meanand, more loosely, any difference or disagreement between things.

from From Latin 'variantia,' meaning difference or diversity, built on the verb 'variare,' to change or diversify, which itself comes from 'varius' — varied, mottled, speckled. The word arrived in English through Old French 'variance' in the medieval period, long carrying the everyday sense of disagreement or discrepancy (as in 'at variance with'). The precise statistical meaning is a much later graft: it was coined in the early 20th century by the statistician Ronald Fisher, who borrowed the ordinary word and pinned a hard mathematical definition onto it.

units quirkmeasured in squared units, hence the stranger standard deviation
never negativesquaring guarantees it can only equal zero or rise
additive trickindependent variables let their variances simply add together
finance fearinvestors call its square root volatility and lose sleep
zero meansvariance of zero means every value is identical
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