It’s best to keep the contact information of your nearest recruiting office or your actual recruiter; they are your best bet for getting your scores. ASVAB scores are valid for up to two years before you need to retest so most offices will send your current scores via mail. If you can’t get yours by mail, you can pick them up from your local recruiting office.
One ASVAB sub-measure, the Armed Forces Qualification Test (AFQT)--which is just a separate analysis of the same tests that focuses only on four of the subtests--is also population-referenced, but its score from 1-99 is a percentile score. This means that if you score a 73, you scored as well as or higher than 73% of test-takers in the national sample.