It depends on the type of collection you are creating.  I don't think the native java Array types support any functionality like this.  However there are other collections that can do these sorts of things, for example Apache Commons Math has a number of structures to do just this sort of thing.  Guava is another package with a lot of great Array methods built in.
Another option one could easily implement would be to extend the collection your using.  For example:
public class ArrayListExtension extends ArrayList{
  public ArrayListExtension(){}
  public Double average()
  {
     Double sum = 0;
     Iterator<Double> iterator = this.iterator();
     while(iterator.hasNext()){
       sum += iterator.next();
     }
     return sum/this.size();
  }
}
Note:  There are no sanity checks built into this.  In a real-world implementation you'd want to do some try-catch to make sure that the values are actual numbers.