# mean

Mean of probability distribution

## Syntax

``m = mean(pd)``

## Description

````m = mean(pd)` returns the mean `m` of the probability distribution `pd`.```

example

## Examples

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Load the sample data. Create a vector containing the first column of students’ exam grade data.

```load examgrades x = grades(:,1);```

Create a normal distribution object by fitting it to the data.

`pd = fitdist(x,'Normal')`
```pd = NormalDistribution Normal distribution mu = 75.0083 [73.4321, 76.5846] sigma = 8.7202 [7.7391, 9.98843] ```

The distribution object display includes the parameter estimates for the mean (`mu`) and standard deviation (`sigma`), and the 95% confidence intervals for the parameters.

Compute the mean of the fitted distribution.

`m = mean(pd)`
```m = 75.0083 ```

The mean of the normal distribution is equal to the parameter `mu`.

Create a Weibull probability distribution object.

`pd = makedist('Weibull','A',5,'B',2)`
```pd = WeibullDistribution Weibull distribution A = 5 B = 2 ```

Compute the mean of the distribution.

`mean = mean(pd)`
```mean = 4.4311 ```

Create a uniform distribution object.

`pd = makedist('Uniform','lower',-3,'upper',5)`
```pd = UniformDistribution Uniform distribution Lower = -3 Upper = 5 ```

Compute the mean of the distribution.

`m = mean(pd)`
```m = 1 ```

Load the sample data. Create a probability distribution object by fitting a kernel distribution to the miles per gallon (`MPG`) data.

```load carsmall; pd = fitdist(MPG,'Kernel')```
```pd = KernelDistribution Kernel = normal Bandwidth = 4.11428 Support = unbounded ```

Compute the mean of the distribution.

`mean(pd)`
```ans = 23.7181 ```

## Input Arguments

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Probability distribution, specified as one of the probability distribution objects in the following table.

Distribution ObjectFunction or App Used to Create Probability Distribution Object
`BetaDistribution``makedist`, `fitdist`, Distribution Fitter
`BinomialDistribution``makedist`, `fitdist`, Distribution Fitter
`BirnbaumSaundersDistribution``makedist`, `fitdist`, Distribution Fitter
`BurrDistribution``makedist`, `fitdist`, Distribution Fitter
`ExponentialDistribution``makedist`, `fitdist`, Distribution Fitter
`ExtremeValueDistribution``makedist`, `fitdist`, Distribution Fitter
`GammaDistribution``makedist`, `fitdist`, Distribution Fitter
`GeneralizedExtremeValueDistribution``makedist`, `fitdist`, Distribution Fitter
`GeneralizedParetoDistribution``makedist`, `fitdist`, Distribution Fitter
`HalfNormalDistribution``makedist`, `fitdist`, Distribution Fitter
`InverseGaussianDistribution``makedist`, `fitdist`, Distribution Fitter
`KernelDistribution``fitdist`, Distribution Fitter
`LogisticDistribution``makedist`, `fitdist`, Distribution Fitter
`LoglogisticDistribution``makedist`, `fitdist`, Distribution Fitter
`LognormalDistribution``makedist`, `fitdist`, Distribution Fitter
`LoguniformDistribution``makedist`
`MultinomialDistribution``makedist`
`NakagamiDistribution``makedist`, `fitdist`, Distribution Fitter
`NegativeBinomialDistribution``makedist`, `fitdist`, Distribution Fitter
`NormalDistribution``makedist`, `fitdist`, Distribution Fitter
`PiecewiseLinearDistribution``makedist`
`PoissonDistribution``makedist`, `fitdist`, Distribution Fitter
`RayleighDistribution``makedist`, `fitdist`, Distribution Fitter
`RicianDistribution``makedist`, `fitdist`, Distribution Fitter
`StableDistribution``makedist`, `fitdist`, Distribution Fitter
`tLocationScaleDistribution``makedist`, `fitdist`, Distribution Fitter
`TriangularDistribution``makedist`
`UniformDistribution``makedist`
`WeibullDistribution``makedist`, `fitdist`, Distribution Fitter

## Output Arguments

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Mean of the probability distribution, returned as a scalar value.

## Version History

Introduced in R2013a