Black_Formula-draft3

Black_Formula-draft3 - distribution Standard deviation of a...

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FORMULA SHEET Population mean (ungrouped) Sample mean (ungrouped) Population mean (grouped data) μ = ∑xf N Sample mean (grouped data) ‾x = ∑xf N Median of Grouped Data Median = L + (n/2 – CF)i F Population variance (ungrouped) σ² = N∑x² - ∑(x)² Population variance (grouped ) Sample variance s² = n∑x²−(∑x)² n(n-1) Chebyshev's theorem Coefficient of variation z score Coefficient of Skewness S k = 3(Mean – Median) Standard Deviation Combination formula nCr = n! r!(n-r)! Permutation Formula n Pr = n! (n-r)! General Law of addition P(A or B) = P(A) + P(B) – P(AandB) Special Law of addition P(A or B) = P(A) + P(B) General Law of multiplication P(AandB) = P(A) * P(B/A) Special law of multiplication P (AandB) = P (A) * P(B) Law of conditional probability P(A/B) = P(AandB) P( B) Mean (expected) value of a discrete
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Unformatted text preview: distribution Standard deviation of a discrete distribution = x 2 P(x) - Binomial formula Mean of a binomial distribution 1 FORMULA SHEET Standard deviation of a binomial distribution z formula for sample means z formula for sample means when there is a finite population z formula for sample proportions z formula for sample proportions when there is a finite population Sample size when estimating Confidence interval to estimate : population standard deviation known n z x 2 / Confidence interval to estimate : population standard deviation unknown n s t x n 1 /,- Confidence interval to estimate p n q p z p 2 / Sample size when estimating p n = zp(1-p) E z test for a single mean 2...
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Black_Formula-draft3 - distribution Standard deviation of a...

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