In descriptive statistics, summary statistics are used to summarize a set of observations, in order to communicate as much as possible as simply as possible. Statisticians commonly try to describe the observations in
The two important statistics that describe a single response are measures of location (typical value; the word location is a reference to the data's location on the number line) and spread (variability).
It is not counted as one of the summarystatistics even though it fits the definition ("a function solely of the data") perfectly.
The mean and SD are a particularly appropriate summary for data whose histogram approximates a normal distribution (the bell-shaped curve).