Statistics & Probability

Probability

Conditional Probability

nPr - Permutations

Permutations (nPr) for Multiple Subsets

nCr - Combinations

Sample Size by Standard Deviation

Sample Size by Proportion

Mean

Population Variance Estimation

Population Variance

Standard Deviation

Population Standard Deviation

Z-Test for x̄ Significance

Z-Test for Significance of (x̄

_{1}- x̄_{2}) with (σ_{1}≠ σ_{2})Z-Test for Significance of (x̄

_{1}- x̄_{2}) with (σ_{1}= σ_{2})Z-Test for Proportion Significance

Z-Test for Significance of (p

_{1}- p_{2}) with P_{1}& P_{2}Z-Test for Significance (p

_{1}- p_{2}) with unknown P_{1}& P_{2}Students t-Test for Mean Significance

Students t-Test for (x̄

_{1}- x̄_{2}) SignificanceF-Test between Sample Variances

One-Way ANOVA

Two-Way ANOVA

CHI-squared Test

Standard or Z-Score

Standard Error (SE) of Sample Mean

SE of Difference between Two Sample Means

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

Covariance of X & Y

Correlation Coefficient

Linear Regression

Coefficient of Variation

Normal Probability Distribution

Poisson Probability Distribution

Binomial Probability Distribution

Skewness & Kurtosis - Binomial Distribution

Negative Binomial Probability Distribution

PDF of Exponential Distribution

PDF of Uniform Distribution

PDF of Triangular Distribution

PDF of Gamma Distribution

PDF of Weibull Distribution

n

^{th}Percentile RankPercentile Score

# Statistics & Probability Functions Basic Formulas

The complete list of statistics & probability functions basic formulas to know how to manually solve the calculations. Users may download the statistics & probability formulas in PDF format to use them offline to collect, analyze, interpret, present & organize numerical data in large quantities to design diverse statistical surveys & experiments. These basic formulas of statistics & probability functions help users, learners, teachers, professionals or researchers to analyze, model, design & test various statistical surveys & experiments. These formulas reference include the basic functions of mean, mode, median, sample size, variance, standard deviation, standard error, z-score, margin of error, confidence interval, covariance, correlation coefficient, probability, regression, permutations, combinations, normal distribution, binomial distribution, poisson distribution, exponential distribution, uniform distribution, triangular distribution, gamma distribution, weibull distribution, normal distribution, F-distribution, t-distribution, chi-squared distribution, Z-test, t-test, F-test, χ²-test, z-statistics, t-statistics, F-statistics, χ²-statistics, χ²-statistics, critical or p value for Z, F, t & χ² tests, hypothesis testing & two way ANOVA to design & test diverse statistical surveys & experiments. Statistics & probability functions are used in math, science, engineering, finance, health, digital networks, data processing, social concerns, etc to research & analyze the data to draw conclusions or for various purposes.

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