For example, let’s take a vector like:
(1 2 3 2 3 2 1), and filter it with a filter like (1/3 1/3 1/3)
Ignoring the ends for the moment, we get a result like:
     2 2 1/3  2 2/3 2 1/3 2.   We can also graph the results and see that the original vector is smoothed out.