The Mathematica Book Online: A Practical Introduction to Mathematica

The Mathematica Book Online

A Practical Introduction to Mathematica

Numerical Mathematics

1.6.7 Statistics

Mean[data] mean (average value)
Median[data] median (central value)
Variance[data] variance
StandardDeviation[data] standard deviation
Quantile[data, q] q quantile
Total[data] total of values

Basic descriptive statistics.

Here is some "data".

In[1]:= data = {4.3, 7.2, 8.4, 5.8, 9.2, 3.9}

Out[1]=

This gives the mean of your data.

In[2]:= Mean[data]

Out[2]=

Here is the variance.

In[3]:= Variance[data]

Out[3]=

The standard set of packages distributed with Mathematica includes several for doing more sophisticated statistical analyses of data.

Statistics`DescriptiveStatistics`
descriptive statistics functions
Statistics`MultivariateDescriptiveStatistics`
multivariate descriptive statistics functions
Statistics`ContinuousDistributions`
properties of continuous statistical distributions
Statistics`DiscreteDistributions`
properties of discrete statistical distributions
Statistics`HypothesisTests` hypothesis tests based on the normal distribution
Statistics`ConfidenceIntervals` confidence intervals derived from the normal distribution
Statistics`MultinormalDistribution`
properties of distributions based on the multivariate normal distribution
Statistics`LinearRegression` linear regression analysis
Statistics`NonlinearFit` nonlinear fitting of data
Statistics`DataSmoothing` smoothing of data
Statistics`DataManipulation` utilities for data manipulation

Some standard statistical analysis packages.