Equations - Introductory Statistics Formulas N i =1...

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Introductory Statistics – Formulas Population Mean : 1 = N i i x x x NN μ = = ; Sample Mean : 1 n i i x x x nn = == Range : R = Maximum Value Minimum Value Quartile locations ( Minitab ): 12 3 (1 ) 2 ) 3 ) @; @ ; @ 44 4 nnn QQ Q + ++ . Quartile values: 1 .( ) ji ii Qxd d xx + =+⋅ , where i is the integer portion of the quartile location and dd is the decimal portion of quartile location (i.e., if Q 3 @ 47.75, then i = 47 and . dd = 0.75). Interquartile range : IQR = Q 3 Q 1 Potential Outlier Limits : Lower Limit = Q 1 - 1.5 IQR ; Upper Limit = Q 3 + 1.5 IQR Population Variance : 2 2 () x x x N σ = ; Pop. Standard Deviation : 2 x x x N = Population Standard Deviation (Short-cut formula): 2 2 x N =− Sample Variance : 2 2 1 x x x s n = ; Sample Standard Deviation : 2 1 x x x s n = Sample Standard Deviation (short-cut formula) : 2 2 / 1 x x xn s n = ∑∑ Standardized Pop. Data Value : x x x z = ; Standardized Sample Data Value : x x x z s = T’s Theorem (Chebychev’s Rule) : Regardless of how the data are distributed, at least 2 1 1 100% k ⎛⎞
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This note was uploaded on 12/08/2011 for the course ECON 211 taught by Professor Daniellass during the Spring '11 term at UMass (Amherst).

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Equations - Introductory Statistics Formulas N i =1...

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