RE: Is this normal?
Nomercy has had different results than I have had with Core-Lokts. They shot fine in my Browning .270 (3/4" groups at 100 yds, 1 1/2" at 200, and 2 3/4" at 300 yards. And they kill deer just as dead as other bullets do.
To answer your question, it's not uncommon for you to experience what you are. Nomercy also touched on a few things that may be more related to you, and not your rifle/ammo combination. But in short, if you are doing your part, your groups could be a result of not finding the ammo your rifle likes yet. Keep trying different brands and bullet weights. If none of them ever shoot decent, have the gun looked at by a good gunsmith. Then be prepared to start all over again. Today's ammo from the major players are about as good as they have ever been.