Math Formula Encyclopedia
Search, understand, and use formulas across arithmetic, algebra, geometry, trigonometry, calculus, statistics, finance, science, engineering, and everyday math.
134 formulas10 subjectsExamples + variables
AllAlgebra 16Arithmetic 8Calculus 15Everyday Math & Conversions 7Finance & Business 9Geometry 28Number Theory & Sequences 8Science & Engineering 16Statistics & Probability 16Trigonometry 11
7 matching formulas
Arithmetic
Average (Arithmetic Mean)
x̄ = (x₁ + x₂ + … + xₙ) / n
Adds all values and divides by the count.
Open formula →ArithmeticWeighted Average
x̄w = Σ(wᵢxᵢ) / Σwᵢ
Average in which values contribute according to assigned weights.
Open formula →CalculusAverage Rate of Change
[f(b)−f(a)]/(b−a)
Slope of a secant line over an interval.
Open formula →CalculusAverage Value of a Function
f_avg=(1/(b−a))∫ₐᵇf(x)dx
Mean value of a continuous function over an interval.
Open formula →Statistics & ProbabilityPopulation Variance
σ² = Σ(x−μ)²/N
Average squared deviation from the population mean.
Open formula →Statistics & ProbabilityExpected Value
E[X]=ΣxP(x)
Long-run probability-weighted average outcome.
Open formula →Science & EngineeringSpeed
v = d/t
Average speed equals distance divided by time.
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