This is documentation for Mathematica 3, which was
based on an earlier version of the Wolfram Language.
 Statistics`DescriptiveStatistics` Descriptive statistics refers to properties of distributions, such as location, dispersion and shape. The functions in this package compute descriptive statistics of lists of data. You can calculate some of the standard descriptive statistics for various known distributions by using the Statistics`ContinuousDistributions` and Statistics`DiscreteDistributions` packages. This package also provides some commonly used data transformations. Note that this package is automatically loaded when most other statistical packages are used. For example, all the functions described below are available for use with the package Statistics`HypothesisTests`. The statistics are calculated assuming that each value of data has probability equal to , where is the number of elements in the data. Location statistics. Location statistics describe where the data are located. The most common functions include measures of central tendency like the mean, median, and mode. Quantile[data,q] gives the location before which percent of the data lie. In other words, Quantile gives a value such that the probability that is less than or equal to and the probability that is greater than or equal to . The quantile values at = 0.25, 0.5 and 0.75 are called the quartiles, and you can obtain them using Quartiles. This loads the package. In[1]:= <True. The mean of the shifted data is approximately 0. In[12]:= Mean[ZeroMean[data]] Out[12]= After standardizing, the variance is approximately 1. In[13]:= Variance[Standardize[data]] Out[13]=