If slope is 2, slope of perpendicular line = – 1/2, Linear equation: y = mx + b [The slope-intercept formula is sometimes called the linear equation. The term ‘n1’ represents the size of the first sample, and the term ‘n2’ represents the size of the second sample that is being pooled with the first sample. Intellectus allows you to conduct and interpret your analysis in minutes. © 2020 Tutor.com / The Princeton Review - Not Affiliated with Princeton University. The term ‘Σ ( xi – x_bar )2’ represents the sum of the squared deviations of the scores from the sample mean. The term ‘sqrt’ used in this statistical formula denotes square root. Discusses Bayes' theorem in relation to mutually exclusive events and 2 ways to calculate the statement. Includes links to web pages that explain how to use the formulas, including sample problems with solutions. Statistics Solutions can assist with your quantitative analysis by assisting you to develop your methodology and results chapters. Perpendicular lines: The slopes of perpendicular lines are negative reciprocals. (adsbygoogle = window.adsbygoogle || []).push({});
, Mean: sum of the numbers ÷ amount of items in set, Median: middle number in set when items are in order, Mode: number that is most frequent in the set, Example data set: 1, 2, 3, 1, 4, 5, 2, 1, 7 [There are 9 items in the set.
Statistical formulas are used to calculate values related to statistical concepts or analyses. The sample variance is the square of the sample standard deviation and is represented by: The symbol ‘s2’ represents the sample variance. Site gives detailed explanation of what a confidence interval implies and how to construct one. The symbol ‘n,’ represents the total number of individuals or observations in the sample. Use the degrees stated for the given angle to calculate chord length. Here we will discuss common formulas and what they stand for. Learn more. The term ‘s12’ represents the variance of the first sample, and ‘s22’ represents the variance of the second sample. Exam SAM Study Aids & Media.All rights reserved. However, this sheet may not be electronically reproduced or posted on online forums or document-sharing platforms. Call us at 727-442-4290 (M-F 9am-5pm ET). Higher Education. Click the link below to create a free account, and get started analyzing your data now! The term population mean, which is the average score of the population on a given variable, is represented by: In this Early Edge video lesson, you'll learn more about Mode, so you can be successful when you take on high-school Math & Arithmetic. The official provider of online tutoring and homework help to the Department of Defense. Improve persistence and course completion with 24/7 student support online. Statistical formulas are used to calculate values related to statistical concepts or analyses. The population standard deviation is a measure of the spread (variability) of the scores on a given variable and is represented by: The symbol ‘σ’ represents the population standard deviation. Copyright © 2018-2020. ÷ [r! ÷ (n – r)! Population Mean. It is represented by: sp = sqrt [ (n1 – 1) * s12 + (n2 – 1) * s22 ] / (n1 + n2 – 2) ]. Engage your community with learning and career services for patrons of all ages. Improve persistence and course completion with 24/7 student support online. n = number of objects taken at a rate of r items per time, Permutations: P = n! The official provider of online tutoring and homework help to the Department of Defense. For the y-intercept, substitute 0 for x and solve. A helpful scientific calculator that runs in your web browser window. Don't see the date/time you want? The term ‘Σ ( Xi – μ )2’ used in the statistical formula represents the sum of the squared deviations of the scores from their population mean. ], Area of square or rectangle: length × width, Perimeter of squares and rectangles: (length × 2) + (width × 2), Cylinder volume:  πr2h (where r = radius and h = height). Support your workforce and their families with a unique employee benefit. Arcs: Arc length is a partial distance along the outside of a circle. List of common statistics formulas (equations) used in descriptive statistics, inferential statistics, and survey sampling. The term population mean, which is the average score of the population on a given variable, is represented by: The symbol ‘μ’ represents the population mean. ACT is a trademark of ACT, Inc, which is not affiliated with nor endorses this website. The sample mean is the average score of a sample on a given variable and is represented by: The term “x_bar” represents the sample mean. × (n – r)!] The term ‘sp’ represents the pooled sample standard deviation. Military Families. Here we will discuss common formulas and what they stand for. ], Mean = (1 + 2 + 3 + 1 + 4 + 5 + 2 + 1 + 7) ÷ 9 = 3.714, Median = 2 [middle number: 1, 1, 1, 2, 2, 3,  4, 5, 7], Mode = 1  [the number 1 is in the set three times], Probability: Event ÷ Sample Space [event is the number of items available for the desired outcome; sample space is the total number of items available], Midpoints:  Midpoint x = (x1 + x2) ÷ 2 Midpoint y = (y1 + y2) ÷ 2. x and y intercepts:  For the x-intercept, substitute 0 for y and solve. You may print this ACT Math Formulas Cheat Sheet for your own reference. The statistic called sample standard deviation, is a measure of the spread (variability) of the scores in the sample on a given variable and is represented by: s = sqrt [ Σ ( xi – x_bar )2 / ( n – 1 ) ]. Tutor.com is now part of The Princeton Review! Parallel lines: Parallel lines have the same slope. z-scores, Quartiles, boxplots, percentiles, and z-scores. The symbol ‘Σ Xi’ represents the sum of all scores present in the population (say, in this case) X1 X2 X3 and so on.