Question

statistics all formula with examples​

Answer 1

Answer:

formula for statisticsParameters

Population mean = μ = ( Σ Xi ) / N

Population standard deviation = σ = sqrt [ 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

Population correlation coefficient = ρ = [ 1 / N ] * Σ { [ (Xi - μX) / σx ] * [ (Yi - μY) / σy ] }

Statistics

Unless otherwise noted, these formulas assume simple 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 ] }