# Statics formula sheet

All rights reserved. No Mode All data values have the same number of repeats. Best to sort data and count repeats. Multimodal More than two data values are tied for the most number of repeats.

Positive Skewness Most extreme data values are to the right side of centre. Excel SKEW formula below has a different answer. Ask your teacher which method to use. Use Excel percentile function only if your teacher agrees.

How many different pairs could be selected? Order doesn't matter. For a binomial distribution, with probability of. Binomial Standard Deviation For a binomial distribution, with probability of. Middle value in ordered data. If N is even: Average the middle 2 values. Most extreme data values are to the right side of centre. Manual: Excel:. Most extreme data values to left side of centre. Where i is position in ordered data of "percentile" value. Find z score for How many ways could you can group 2 dogs out of collection of 4 dogs?

Lassie,Rex is the same as Rex,Lassieso use Combination:. In the Excel images above, formula comments are shown to the left of each cell that contains a formula. In the Excel image above, formula comments are shown to the left of each cell that contains a formula.Conditional Probability.

Permutations nPr for Multiple Subsets. Sample Size by Standard Deviation. Sample Size by Proportion. Population Variance Estimation. Population Variance. Standard Deviation. Population Standard Deviation.

Z-Test for Proportion Significance. Students t-Test for Mean Significance. F-Test between Sample Variances. CHI-squared Test. Standard or Z-Score. SE of Observed Sample Proportion. SE of difference between 2 sample proportions. Confidence Interval for Mean - Infinite Population. Confidence Interval for Mean - Finite Population. CI for Proportion - Infinite Population.

CI for Proportion - Finite Population. Margin of Error. Correlation Coefficient. Linear Regression. Coefficient of Variation.

Normal Probability Distribution. Poisson Probability Distribution. Binomial Probability Distribution. Negative Binomial Probability Distribution. PDF of Exponential Distribution. PDF of Uniform Distribution. PDF of Triangular Distribution. PDF of Gamma Distribution.

## Statistics Formulas

PDF of Weibull Distribution. Percentile Score. What is the factorial for 4?This web page lists statistics formulas used in the Stat Trek tutorials.

Each formula links to a web page that explains how to use the formula. Unless otherwise noted, these formulas assume simple random sampling. In the following formulas, X and Y are random variables, and a and b are constants. The correct formula for degrees of freedom DF depends on the situation the nature of the test statistic, the number of samples, underlying assumptions, etc.

Below, the first two formulas find the smallest sample sizes required to achieve a fixed margin of error, using simple random sampling. The third formula assigns sample to strata, based on a proportionate design. The fourth formula, Neyman allocation, uses stratified sampling to minimize variance, given a fixed sample size. And the last formula, optimum allocation, uses stratified sampling to minimize variance, given a fixed budget.

Browse Site. Statistics Formulas This web page lists statistics formulas used in the Stat Trek tutorials. By convention, 0!Looking for a downloadable cheat sheet for the AP Statistics exam? This review sheet was created by AP Statistics teachers and students who have passed the exam so you can see the entire course on one page:. Please note! AP score release day is one of the most important days of the year for any AP student.

Scoring an equivalent of 3 or higher on your AP exam allows you to be eligible to redeem college credit for the equivalent college-level course. That could lead to potentially Given that 's AP Macro exam is radically different than last year, you might be looking for a downloadable 1-page cheat sheet.

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We at Fiveable don't loooove the term "cheat sheet" but we have created this cram chart PDF including key formulas and theories for each Alright, it's that time of year.

AP exam weeks are here! Are you feeling pretty good or are you in total panic mode? Are you looking for AP Exam cheat sheets?

You'll have online exams with only FRQs no As you may have already seen in your emails, from teachers, and from your parents, all AP exams will be taken online during this COVID Crisis in Most exams will be up to 50 minutes long, but there are a different amount of questions, formats, and timing for This year's exam is different than we expected, but I'm here to help.

I've put together this study guide to help keep you on track while you are studying from home. You can follow this Nearly every school is closed, College Board is experimenting with a new online testing system, and the exams themselves have been modified down to minute essays covering about Your email address will not be published.

Save my name, email, and website in this browser for the next time I comment. Submit Comment. Published on May 21, By Deborah J.

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Rumsey, David Unger. However, this Cheat Sheet summarizes many of the basic methods and formulas used in data analysis. Symbols or notation found in statistics problems fall into three main categories: math symbols, symbols referring to a population, and symbols referring to a sample.

Math symbols are easy enough to decipher with a simple review of algebra. They involve items such as square root signs, equations of a line, and combinations of math operations.

Population symbols are almost always lowercase Greek letters.

Sample symbols are almost always lowercase English letters with accents. They refer to the known statistics that are calculated from data. After data has been collected, the first step in analyzing it is to crunch some descriptive statistics to get an initial feeling for the data.

For example:. The most common descriptive statistics are in the following table, along with their formulas and a short description of what each one measures.

When designing a study, the sample size is an important consideration because the larger the sample size, the more data you have and the more precise your results will be assuming high-quality data. If you know the level of precision you want that is, your desired margin of erroryou can calculate the sample size needed to achieve it.

In statistics, a confidence interval gives a range of plausible values for some unknown population characteristic. It contains an initial estimate plus or minus a margin of error the amount by which you expect your results to vary if other samples were taken. The following table shows formulas for the components of the most common confidence intervals and keys for when to use them. You use hypothesis tests to challenge whether some claim about a population is true for example, a claim that 90 percent of Americans own a cellphone.

To test a statistical hypothesis, you take a sample, collect data, form a statistic, standardize it to form a test statistic, and decide whether the test statistic refutes the claim. The following table lays out the important details for hypothesis tests.

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Deborah J. Cheat Sheet. Seeing What Statistical Symbols Stand For Symbols or notation found in statistics problems fall into three main categories: math symbols, symbols referring to a population, and symbols referring to a sample. Getting Familiar with Common Statistics After data has been collected, the first step in analyzing it is to crunch some descriptive statistics to get an initial feeling for the data.

For example: Where is the center of the data located? How spread out are the data? How correlated are the data from two variables? Figuring Sample Size in Statistics When designing a study, the sample size is an important consideration because the larger the sample size, the more data you have and the more precise your results will be assuming high-quality data.

To find the sample size needed to estimate a population mean, or a population proportion puse the following formula:.

Checking Out Formulas for Confidence Intervals In statistics, a confidence interval gives a range of plausible values for some unknown population characteristic. Evaluating Claims with Hypothesis Tests You use hypothesis tests to challenge whether some claim about a population is true for example, a claim that 90 percent of Americans own a cellphone.

### Engineering Statics (EngM 223)

About the Book Author Deborah J.Introduction to Statistics: Formula Sheet. Recommend Documents. Statistics formula sheet. Formula Sheet. Introduction to Statistics This course is an introduction to the basic concepts of probability Introduction to Statistics Theory.

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Introduction to Statistics. Introduction to Business Statistics. Introduction to Statistics 3 advancing the science of statistics by developing new and better analysis methods. Example 1. Geometry Formula Sheet. Algebra I Formula Sheet. Formula Sheet pdf. Keystone Formula Sheet. Analytic Geometry Formula Sheet. Particle Physics Formula Sheet. Algebra II Formula Sheet. Gas Laws Formula Sheet.

AP Stats Formula Sheet. Statistics Introduction to Probability and Statistics E-mail: Please be aware that I am not always able to answer e-mail instantly, but I will do my best to Text: Introductory Statistics, 9th edition, by Neil A.

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If X and Y are not Luc Hens. Vesalius College. Scientific notation. Calculators and statistical software use scientific The letter E or e stands for exponent of 2. Resetting erases lists you stored. Descriptive statistics Histogram p. Statistics 4th edition.

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New York: Norton. Convert each variable to standard units. The standard normal curve is a bell-shaped curve with an average of 0 and SD of 1. Use the TI to find the 95th percentile of the normal curve example 10 pp.

Probability Complement rule p. Multipication rule p. The chance that two things will both happen equals the chance that the first will happen, multiplied by the conditional chance that the second will happen given the first has happened. Independence p. Two things are independent if the chances for the second given the first are the same, no matter how the first turns out.From Statistics For Dummies, 2nd Edition. By Deborah J. Being able to make the connections between those statistical techniques and formulas is perhaps even more important.

It builds confidence when attacking statistical problems and solidifies your strategies for completing statistical projects.

Excel 2013 Statistical Analysis #01: Using Excel Efficiently For Statistical Analysis (100 Examples)

After data has been collected, the first step in analyzing it is to crunch out some descriptive statistics to get a feeling for the data. For example:. The most common descriptive statistics are in the following table, along with their formulas and a short description of what each one measures. When designing a study, the sample size is an important consideration because the larger the sample size, the more data you have, and the more precise your results will be assuming high-quality data.

If you know the level of precision you want that is, your desired margin of erroryou can calculate the sample size needed to achieve it. In statistics, a confidence interval is an educated guess about some characteristic of the population.

A confidence interval contains an initial estimate plus or minus a margin of error the amount by which you expect your results to vary, if a different sample were taken. The following table shows formulas for the components of the most common confidence intervals and keys for when to use them.

You use hypothesis tests to challenge whether some claim about a population is true for example, a claim that 40 percent of Americans own a cellphone. To test a statistical hypothesis, you take a sample, collect data, form a statistic, standardize it to form a test statistic so it can be interpreted on a standard scaleand decide whether the test statistic refutes the claim. The following table lays out the important details for hypothesis tests.

Deborah J. Cheat Sheet. Statistics For Dummies Cheat Sheet. Understanding Formulas for Common Statistics After data has been collected, the first step in analyzing it is to crunch out some descriptive statistics to get a feeling for the data. For example: Where is the center of the data located?

How spread out is the data? How correlated are the data from two variables? Statistically Figuring Sample Size When designing a study, the sample size is an important consideration because the larger the sample size, the more data you have, and the more precise your results will be assuming high-quality data.

Surveying Statistical Confidence Intervals In statistics, a confidence interval is an educated guess about some characteristic of the population. Handling Statistical Hypothesis Tests You use hypothesis tests to challenge whether some claim about a population is true for example, a claim that 40 percent of Americans own a cellphone.

About the Book Author Deborah J.

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