Statistical Formulas Statistical Formulas Statistics is used very widely in the mathematics. The statistical approaches are used effectively numerical data. In the statistics we study of gathering data, ordering the data into a proper manner and checking the data line by line. For this we used many formulas. Below is the list of various Statistics Formulas. Parameters: Population mean = μ = (Σ Xi) / N Population standard deviation = σ = √[Σ ( Xi - μ )2 / N], Population variance = σ2 = Σ ( Xi - μ )2 / N, Variance of population proportion = σP2 = PQ / n, Standardized score = Z = (X - μ) / σ, Know More About What is an Independent Variable Math.Tutorvista.com

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Population correlation coefficient = ρ = [ 1 / N ] * Σ [ (Xi- μX) / σx ] * [ (Yi - μY) / σy ], Statistics: The all methods that are listed below are assumed as random sampling. Sample mean = x' = ( Σ xi) / n, Sample standard deviation = s = sqrt [ Σ ( xi - x' )2 / ( n - 1 ) ] Sample variance = s2 = Σ ( xi - x' ) 2 / ( n - 1 ), Variance of sample proportion = sp2 = pq / (n - 1), Pooled sample proportion = p = (p1 * n1 + p2 * n2) / (n1 + n2), Pooled sample standard deviation = sp = sqrt [ (n1 - 1) * s12 + (n2 - 1) * s22 ] / (n1 + n2 - 2)], Sample correlation coefficient = r = [ 1 / (n - 1) ] * Σ [ (xi - x') / sx ] * [ (yi - y') / sy ]. Simple Linear Regression Simple Linear regression line: ? = b0 + b1x, Regression coefficient = b1 = Σ [(xi - x') (yi - y')] / Σ [(xi – x')2], Regression slope intercept = b0 = y' - b1 * x, Regression coefficient = b1 = r * (sy / sx), Standard error of regression slope = sb1 = sqrt [Σ(yi – ?i )2 / (n - 2) ] / sqrt [ Σ(xi - x')2], Learn More Boolean Algebra Math.Tutorvista.com

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Counting : n factorial: n! = n * (n-1) * (n - 2) * . . . * 3 * 2 * 1. By the convention, 0 ! = 1. Permutations of n things, taken ‘r’ at a time: nPr = n! / (n - r)!, Combinations of ‘n’ things, taken ‘r’ at a time: nCr = n! / r!(n - r)! = nPr / r! Probability: Rule of addition: P (A ∪ B) = P(A) + P(B) - P(A ∩ B), Rule of multiplication: P (A ∩ B) = P (A) P (B|A), Rule of subtraction: P (A') = 1 – P (A).

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Statistical Formulas

Published on May 29, 2012

Know More About What is an Independent Variable Statistical Formulas Parameters: - Variance of population proportion = σP2 = PQ / n, Populat...

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