The night I quit my job, a friend of mine massively pissed me off.  It was because of several lies-through-omission, and he didn't like it when I told him I wouldn't speak to him until he had rectified those omissions because I couldn't trust him, and because he'd made me look and feel pretty desperate and pathetic by what he didn't tell me.  He apologized a month later, and this is an edited version of what he said:

"I'm sorry that I didn't tell you about [that stuff].  I understand why you felt misled by it, and the situation is [done and gone away now].  It wasn't fair to you and your feelings.  You're fun and silly and I miss getting to talk to you."

(For a frat boy, he can be pretty classy.)

Telling me you're sorry for "whatever it was" all of you did "to upset me" is not an apology; it's a guilt trip and a cleansing of your hands.  I'm not really sure what exactly that apology is even for.  People upset me when they drive half a mile with their turn signal on, you know?  It's also not fair to my feelings as it doesn't take them into account, in fact, all it does it is remind me of the past I've had to get over all by myself.

Own it or save it, I say.

Also, seriously, don't speak for the group when, if we're going to be honest and rational, we all know that the whole group isn't sorry at all.  It's not fair to you, me, or the group to do that.