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FormulaSheeExam1

FormulaSheeExam1 - data will lie within K standard...

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Formula Sheet for Exam 1 For a relative frequency table: Relative Frequency = Frequency n To Calculate the Mean: 1 n i i X x n = = To Calculate the Median: Guidelines for calculating the sample Median: Arrange the sample data from smallest to largest. If n is odd, M is the middle number If n is even, M is the mean of the two middle numbers To Calculate the Variance: ( ) 2 2 2 ( 1) n x x s n n - = - To Calculate the Standard Deviation: ( ) 2 2 2 ( 1) n x x s s n n - = = - ∑ ∑ Theorems Relating to Distributions: The following Theorems can be used to determine what range of data values we can expect from a given distribution, and it can also be used to determine what percent of the
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Unformatted text preview: data will lie within K standard deviations from the mean: Chebyshev’s Theorem: The proportion of any set of data lying within K standard deviations of the mean is always at least 2 1 1 K-, where K > 1. Note: UL K μ σ-= Empirical Rule Approximately 68% of the data lies within 1 standard deviation of the mean. Approximately 95% of the data lies within 2 standard deviations of the mean. Approximately 99.7% of the data lies within 3 standard deviations of the mean. Z-scores: x Z-=...
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