Equations - Introductory Statistics Formulas Population...

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Introductory Statistics – Formulas Population Mean : ; Sample Mean : Range : R = Maximum Value Minimum Value Quartile locations ( Minitab ): . Quartile values: , 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 : ; Pop. Standard Deviation : Population Standard Deviation (Short-cut formula): Sample Variance : ; Sample Standard Deviation : Sample Standard Deviation (short-cut formula) : Standardized Pop. Data Value : ; Standardized Sample Data Value : T’s Theorem (Chebychev’s Rule) : Regardless of how the data are distributed, at least of the values will fall within k standard deviations of the mean. Expected Value for a Discrete RV: Standard Deviation for a Discrete RV: Counting Rule for Combinations: ; where n ! is n-factorial .
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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 Population...

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