# Summary

### Purpose

Summarizing statistics for sample data.

### Synopsis

- summ = summary(x)
- text = summary(x, n)

### Description

Given a data matrix (x) (numeric or DataSet object) this function calculates the following statistics for each column of x:

**mean**= mean of the sample**std**= standard deviation of the sample**n**= number of observations**min**= minimum value in the sample**max**= maximum value in the sample**p10**= tenth percentile**p25**= twenty-fifth percentile (lower quartile)**p50**= fiftieth percentile (median)**p75**= seventy-fifth percentile (upper quartile)**p90**= nintieth percentile**skew**= skewness**kurt**= kurtosis

With only one input, the output is a DataSet object with the above statistics as rows of the matrix. If the second input (n) is also supplied, the output is a text table describing all of the statistics for the first n columns of the input data.

If summary is called without requesting a return value, it prints to the command window a summary table containing up to 20 columns (default), or up to number specified by the (n) input parameter.

If input x is a multi-dimensional array, the statistics are calculated for each multi-dimensional column of the array (the result will have the same dimensions on modes 2-k where k = number of modes in x).

#### Inputs

**x**= matrix (column vector) in which the sample data is stored.

#### Optional Inputs

**n**= number of columns to include in a text-formatted description of the summary statistics. Default is to analyze all columns (if output DataSet is requested), or the first 20 columns (if no output is requested.)

#### Outputs

**summ**= a DataSet object with rows corresponding to the statistics described above, or (when the input n is supplied) a text table of the statistics.

### Examples

summ = summary(x);