Stat &amp; Prob Formula Sheet

# Stat &amp; Prob Formula Sheet - Probability and...

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Probability and Statistics Formula Sheet Formula Sheet I. Descriptive Statistics Sample Mean Sample Mean Depth of Median Midrange Range (List of Data) (Freq. Distrib.) x x n = xf x f = 1 ( ) 2 n d x + = 2 H L Midrange + = R H L = - Sample Variance Pop. Variance Sample St. Deviation Pop. St. Deviation (List of Data) (List of Data) (List of Data) (List of Data) ( 29 2 2 1 x x s n - = - ( 29 2 2 x N μ σ - = ( 29 2 1 x x s n - = - ( 29 2 x N μ σ - = Variance St. Deviation (Grouped Data) (Grouped Data) ( 29 2 2 2 1 m m f x f x n s n - = - ( 29 2 2 1 m m f x f x n s n - = - Chebyshev’s Standard Score Percentile of a Piece of Data k th Percentile Interquartile Theorem z -score Range 2 1 1 atleast k - x z μ σ - = numberof valuesbelow +0.5 percentile= 100 totalnumberof values 100 k nk P = 3 1 IQR Q Q = - II. Probability Permutation Rule: The arrangement of n objects in a specific order using r objects at a time is called a permutation of n objects taken r objects at a time .

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