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Frequently Used Statistics Formulas and Tables

Frequently used Statistics Formulas and Tables Chapter 2. highest value - lowest value Class Width = (increase to next integer). number classes upper limit + lower limit Class Midpoint =. 2. Chapter 3 Chapter 3. n = sample size Limits for Unusual Data N = population size Below : - 2 . f = frequency Above: + 2 . =sum w = weight empirical Rule About 68%: - to + . x About 95%: -2 to + 2 . Sample mean: x =. n About : -3 to + 3 . x Population mean: =. N s Sample coefficient of variation: CV = 100%. ( w x) x Weighted mean: x =. w . Population coefficient of variation: CV = 100%. ( f x).

Empirical Rule . About 68%: - to About 95%: -2 to 2 About 99.7%: -3 to 3 µσ µ σ µσ µ σ µσ µ σ + + + 22 Sample coefficient of variation: 100% Population coefficient of variation: 100% Sample standard deviation for frequency table: [ ( ) ] [ ( ) ] ( 1) s CV x CV n f x f x s nn σ µ = = ∑• −∑• = − Sample z-score:

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