# Calculators - Probability/Statistics

## Average (Arithmetic Mean) Calculator

For the given group of numbers, the calculator will find their average (arithmetic mean), with steps shown.

## Geometric Mean Calculator

For the given group of values, the calculator will find their geometric mean, with steps shown.

## Harmonic Mean Calculator

For the given group of values, the calculator will find their harmonic mean, with steps shown.

## Sample/Population Standard Deviation Calculator

For the given set of observations, the calculator will find their standard deviation (either sample or population), with steps shown.

## Sample/Population Variance Calculator

For the given set of values, the calculator will find their variance (either sample or population), with steps shown.

## Sample/Population Coefficient of Variation Calculator

For the given data set, the calculator will find the sample or the population coefficient of variation (CV), with steps shown.

## Percentile Calculator

For the given set of data, the calculator will find percentile no. $p$, with steps shown.

## Median Calculator

The calculator will find the median ($50$th percentile, second quartile) for the given sample data, with steps shown.

## Lower Quartile Calculator

For the given set of data, the calculator will find the lower (first) quartile ($25$th percentile), with steps shown.

## Upper Quartile Calculator

For the given set of data, the calculator will find the upper (third) quartile ($75$th percentile), with steps shown.

## Interquartile Range Calculator

For the given set of data, the calculator will find the interquartile range (IQR), with steps shown.

## Mode Calculator

For the given set of data, the calculator will find the mode, with steps shown.

## Range of a Data Set Calculator

For the given set of observations, the calculator will find their range, with steps shown.

## Five Number Summary Calculator

The calculator will find the five number summary for the given set of data (minimum value, first quartile, median, third quartile, maximum value), with steps shown.

## Box and Whisker Plot Calculator

The calculator will create the box and whisker plot for the given set of data, with steps shown. Two sets of data are supported.

## Percentile Rank, Class Rank Calculator

For the given set of data and score, the calculator will find the percentile class rank, with steps shown.

## Binomial Distribution Calculator

The calculator will find the simple and cumulative probabilities, as well as the mean, variance, and standard deviation of the binomial distribution.

## Poisson Distribution Calculator

The calculator will find the simple and cumulative probabilities, as well as the mean, variance, and standard deviation of the Poisson distribution.

## Geometric Distribution Calculator

The calculator will find the simple and cumulative probabilities, as well as the mean, variance, and standard deviation of the geometric distribution.

## Hypergeometric Distribution Calculator

The calculator will find the simple and cumulative probabilities, as well as the mean, variance, and standard deviation of the hypergeometric distribution.

## Exponential Distribution Calculator

The calculator will find the simple and cumulative probabilities, as well as the mean, variance, and standard deviation of the exponential distribution.

## Beta Distribution Calculator

The calculator will find the simple and cumulative probabilities, as well as the mean, variance, and standard deviation of the beta distribution.

## Normal Distribution Calculator

For the given mean and standard deviation, the calculator will find various probabilities for the random variable, and vice versa: for the specified probability, it will find the values of the random variable.

## Z-Score Calculator

The calculator will find the z-score (standardized score) given the unstandardized value, mean, and standard deviation of the population, with steps shown.

## Margin of Error Calculator

The calculator will find the margin of error from the given sample size and distribution, with steps shown.

## P-Value Calculator

The calculator will find the p-value for two-tailed, right-tailed and left-tailed tests from normal, Student's (T-distribution), chi-squared, and Fisher (F-distribution) distributions.