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The "expected value", E(f), of a formula f(xi) is the sum over each xi of terms P(xi)*f(xi) Mean is the expected value of xi itself = E(xi). E(xi) = sum P(xi)*xi = 1*0.2+2*0.35+3*0.25+4*0.15+5*0.05 The "dispersion", D(f), of a formula f(xi) is defined as E(f^2) - (E(f))^2 It measures how much f varies from its expected value. Variance is D(xi) D(xi) = E(xi^2) - (E(xi))^2 = (sum P(xi)*xi*xi) - (sum P(xi)*xi)^2 = an exercise for the reader !
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