The module would work for finding an average time, like this:

use strict;
use DateTime::Precise;
my $t1 = DateTime::Precise->new('2003. 3.26 16:14:13.8167');
my $t2 = DateTime::Precise->new('2003. 3.26 16:23:14.6152');
my $average = $t1 + ($t2 - $t1)/2.0;
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The subtraction produces a time in seconds, and the module provides a way to add seconds to a time. So just add half the difference and you will have the average.