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A term used in statistical analysis. A measure of variation that indicates the typical distance between the scores of a distribution and the mean; it is determined by taking the square root of the average of the squared deviations in a given distribution. KEY FORMULAS. Statistic. Formula. Used For. Sample mean (average).
P (A or B or C or ··· ). P (A) + P(B) + P (C) +···. (A, B, C, mutually exclusive). • Complementation rule: P (E). 1 ? P(not E). • General addition rule: P (A or B). P (A) + P(B) ? P (A & B). • Mean of a discrete random variable X: µ. xP(X x). • Standard deviation of a discrete random variable X: ?. v. (x ? µ)2P (X x) or ?. v. x2P (X.
Important Concepts not on the AP Statistics Formula Sheet. Part I: IQR = Q3 – Q1. Test for an outlier: 1.5(IQR) above Q3 or below. Q1. The calculator will run the test for you as long as you choose the boxplot with the oulier on it in STATPLOT. Linear transformation: Addition: affects center NOT spread adds to , M, Q1 , Q3, IQR.
Confidence Interval Estimate: z-confidence interval: x ±. 2 ? z • n ? t-confidence interval: x ±. 2 ? t • n s. (d.f. = n – 1). Confidence interval for proportion: p ±. 2 ? z • n p p. ) 1(-. Confidence interval for difference of two means: 2. 2. 2. 1. 2. 1. 2. 2. 1 n n zxx ? ? ?. +. •. ±. -. Confidence interval for difference of two means: If. 2. 2. 2. 1.
Statistics Cheat Sheet. Population. The entire group one desires information about. Sample. A subset of the population taken because the entire population is usually too large to analyze. Its characteristics are taken to be representative of the population. Mean. Also called the arithmetic mean or average. The sum of all the
From Statistics For Dummies, 2nd Edition. By Deborah J. Rumsey. Whether you're studying for an exam or just want to make sense of data around you every day, knowing how and when to use data analysis techniques and formulas of statistics will help. Being able to make the connections between those statistical
Introduction to Statistics: Formula Sheet. ?. Luc Hens. Vesalius College. 3 November 2016. Scientific notation, resetting the calculator. Calculators and statistical software often use scientific notation to display numbers. The letter E (or e) stands for exponent of 10: 2.3E+04 = 2.3 ? 104 = 2.3 ? 10 000 = 23 000. 2.3E-04 = 2.3 ?
Basic Statistics Formulas. Population Measures. Mean µ . Chi-Square Statistic ?2 = n. ? i="1". (oi ? ei)2 ei. (41) oi = observed,ei = expected. Central Limit Theorem sx > ?. v n as n > ?. (42). 2013 B.E. Shapiro. This work is licensed revised May 9, 2016. Original PDF and LATEX files available at integral-table.com/
Formulas, Distributions, and Concepts. Counting and Probabilities. )!xn( !n. Pxn. ?. = Permutations. )!xn(!x !n. Cx n. ?. = Combinations. )B(P. )BA(P. )B|A(P. ?. = Conditional Probability. )B(P)B|A(P)BA(P. = ?. Probability of an Intersection. Discrete Probability Distributions xn x x. )p1(p. )!xn(!x !n. )x(P. ?. ?. ?. = Binomial
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