The range of a map 
is the set of all values taken
by 
as its argument varies over its domain 
. It is also called the image
of 
under 
,
so
 |
Note that among mathematicians, the word "image" is used more commonly than "range."
The range is a subset of 
and does not have to be all of 
.
For a random variable 
,
the range is the image 
,
and 
is the sample
space. A probability density function
describes the distribution of 
as a function of a real-valued
argument. Its domain need not equal the range of 
.
In statistics, the statistical range is the difference between the largest and smallest order statistics.
