# STATISTICS

• Factorial of a Positive Number (n!) Calculator calculator, formula and work with steps to find factorial of positive numbers.
• Permutation & Combination Calculator calculator, formula and work with steps to find permutation (npr) & combination (ncr) of objects in statistical experiments.
• Probability Calculator calculator, formula and work with steps to find the probability of an event in statistical experiments.
• Sample Size Calculator calculator, formula and work with steps to find the effective sample size in statistical experiments.
• Mean, Median & Mode Calculator calculator, formula and work with steps to find the mean, median & mode for 2 or more observations of population or sample in statistical experiments.
• Standard Deviation Calculator calculator, formula and work with steps to estimate the standard deviation of sample data set of normal distribution in statistical experiments.
• Population Standard Deviation Calculator calculator, formula and work with steps to estimate the standard deviation of population data set of normal distribution in statistical experiments.
• Grouped Data Standard Deviation Calculator calculator, formula and work with steps to estimate the frequency standard deviation of grouped data set in statistical experiments.
• Mean Absolute Deviation Calculator calculator, formula and work with steps to estimate the mean absolute deviation of data set in statistical experiments.
• Skewness Calculator calculator, formula and work with steps to estimate the skewness of normal data distribution in statistical experiments.
• Normalized or Z-Score Calculator calculator, formula and work with steps to estimate the normalized, standard or z-score value of a random variable in statistical experiments.
• Standard Error of Mean Calculator calculator, formula and work with steps to estimate the sample mean dispersion from the population mean in statistical experiments.
• Margin of Error (ME) Calculator calculator, formula and work with steps to estimate the amount of random sampling error in statistical experiments.
• Population Confidence Interval Calculator calculator, formula and work with steps to estimate the population confidence interval in statistical experiments.
• Confidence Interval Calculator calculator, formula and work with steps to estimate the confidence interval of sample in the statistical experiments.
• Covariance Calculator calculator, formula and work with steps to estimate the relationship (linear dependence) between two dataset in statistical experiments.
• Coefficient of Variance Calculator calculator, formula and work with steps to estimate the relative variability of 2 or more dataset in the statistical experiments.
• Correlation Coefficient Calculator calculator, formula and work with steps to estimate the degree of dependence or linear correlation between two sample or population data set.
• R-Squared Calculator calculator, formula and work with steps to estimate the future outcome with respect to the proportion of variability.
• Linear Regression Calculator calculator, formula and work with steps to estimate the relationship between two dataset by fitting a linear equation.
• Sample or Population Mean Calculator calculator, formula and work with steps to find the mean of sample or population in statistical experiments.
• Harmonic Mean Calculator calculator, formula and work with steps to find the reciprocal of the arithmetic mean of the reciprocals.
• Weighted Mean Calculator calculator, formula and work with steps to find the average of weight associated with a particular event or outcome in statistical experiments.
• Geometric Mean Calculator calculator, formula and work with steps to find the nth root of product individual elements in the dataset in statistical experiments.
• Class Interval Arithmetic Mean Calculator calculator, formula and work with steps to find the mean of average of dataset values in the class interval.
• Group Arithmetic Mean Calculator calculator, formula and work with steps to find the grouped numbers arithmetic mean in statistical experiments.
• Root Mean Square Calculator calculator, formula and work with steps to find the square root of arithmetic mean of squares of a dataset in statistical experiments.
• Empirical Rule Calculator calculator, formula and work with steps to estimate the percentage of values around the mean for the standard deviation width of 1σ, 2σ & 3σ.
• Normal Distribution Calculator calculator, formula and work with steps to estimate how the values of dataset are being distributed in statistical experiments.
• Binomial Distribution Calculator calculator, formula and work with steps to estimate the number of success or failure in a sequence of n independent trials or Bernoulli's experiments.
• Negative Binomial Distribution Calculator calculator, formula and work with steps to estimate the number of failures until the given number of successes achieved.
• Discrete Poisson Distribution Calculator calculator, formula and work with steps to estimate the number of events occurring in a given time period.
• Cumulative Poisson Distribution Calculator calculator, formula and work with steps to estimate the probability of average number of success in statistical experiments.
• Exponential Distribution Calculator calculator, formula and work with steps to estimate the behavior of success and failure rate in statistical experiments.
• Weibull Distribution Calculator calculator, formula and work with steps to statistically estimate the risk associated with the statistical events.
• Hypergeometric distribution Calculator calculator, formula and work with steps to find the statistical significance of having drawn a specific k-successes in n events.
• Error Function Calculator calculator, formula and work with steps to estimate the relative precision of the approximation.
• Beta Function Calculator calculator, formula and work with steps to generalize the factorial function in statistical experiments.
• Gamma Function Calculator calculator, formula and work with steps to find the Gamma function of the distribution.
• Digamma Function Calculator calculator, formula and work with steps to find the Digamma function of the distribution.
• F-Test Calculator calculator, formula and work with steps to estimate if the test results are statistically significant by testing two or more variances.
• t-Test Calculator calculator, formula and work with steps to estimate if test results are statistically significant by testing two or more samples.
• Statistical Data Set Range Calculator calculator, formula and work with steps to find what is min, max and range for a dataset in statistical experiments.
• Effect of Size Calculator calculator, formula and work with steps to calculate the strength of Correlation (r) between equal and or unequal groups (d).
• Sampling Error Calculator calculator, formula and work with steps to calculate the error caused by observing a size of sample from the population dataset.
• Percent Error Calculator calculator, formula and work with steps to find error percentage in observed quantities.
• Percentile Calculator calculator, formula and work with steps to find the percentile.
• Signal to Noise Ratio Calculator calculator, formula and work with steps to find the ratio of signal power to the noise power which measures the quality of signal.
• Altman Z-score Calculator calculator, formula and work with steps to forecasting the distress in any business model.

## Statistics Calculators

formulas & calculators for statistics & probability functions can be used to perform or verify the results of statistical or probability related calculations. It's the statistics & probability functions formula reference sheet contains most of the important functions for data analysis. The main objective of these formulas reference sheet & calculators is to assist the students, professionals and researchers quickly perform or verify the important calculations that are involved in statistics & probability theory. These are all the indispensable tools used to gathering, organizing, and analyzing data in vast areas of study of mathematics, statistics, finance, science, artificial intelligence etc to draw conclusions about the probability of potential events and the underlying mechanics of complex systems.