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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) . Mean for frequency table : x =. f highest value + lowest value Sample standard deviation for frequency table : Midrange =. 2 n [ ( f x 2 ) ] [ ( f x) ] 2. s=. n (n 1). Range = Highest value - Lowest value x x Sample z-score: z =. ( x x ) 2 s Sample standard deviation: s =. n 1 x . Population z-score: z =. ( x ) 2.. Population standard deviation: =.

upper limit + lower limit Class Midpoint = 2 Chapter 3 sample size population size frequency n N f sum w weight = = = Σ= = Sample mean: Population mean: () Weighted mean: Mean for frequency table: highest value + lowest value Midrange 2 x x n x N wx x w f x x f µ ∑ = ∑ = ∑• = ∑ ∑• = ∑ = 2 2 2 2 Range = Highest value - Lowest ...

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