I'm going to avoid a grieving family over the holidays
Is there a reason you're avoiding them?
Yes, I'm way too busy to spend time with them.
You should be considerate of people when they are having a rough time.  Especially at the holidays, you should spend at least a little time with the grieving family.
Well I didn't get an invite and well I don't want to be with them.
Oh, I see, I thought that you were expected to spend time with this family.  If these people are not expecting your presence, then it is okay for you to save time for your other obligations, but when you are less busy, you may want to help out wherever you can.