## Moments and Quantiles Tables

The **Moments** and **Quantiles** tables give descriptive
information that quantifies what you observe in the
box plot and histogram.

**Figure 12.12:** Moments and Quantiles Tables

In the **Moments** table, **N** is the number of nonmissing
observations, **Mean** is the arithmetic mean, **Std Dev** is
the standard deviation, and **Variance** is the variance.
**Skewness** and **Kurtosis** are both measures of the shape
of the distribution.

*Skewness* is a measure of the tendency of the deviations
from the mean to be larger in one direction than in the other.
A positive value for **Skewness** indicates that the data are skewed
to the right. A negative value indicates that the data are skewed
to the left. The distribution of **SATM** is skewed slightly
to the left, as you observed previously;
thus, the value for **Skewness** is negative.

*Kurtosis* is primarily a measure of the heaviness
of the tails of a distribution. Large values of **Kurtosis**
indicate that the distribution has heavy tails.
This statistic is standardized so that a normal
distribution has a kurtosis of 0.

The **Quantiles** table gives information about the variability
in the data as well as about the center of the data.
Two distributions having the same center can look quite
different if the variability in the two distributions is
different. This variability is shown by the percentiles
in the **Quantiles** table.
The **Quantiles** table also shows the **Range** of the data,
the interquartile range **Q3-Q1**, and the **Mode**.

Copyright © 1999 by SAS Institute Inc., Cary, NC, USA. All rights reserved.