frozen yogurt

What is healthy about frozen yogurt? I just had some for lunch and it got me thinking. It's not like regular yogurt, which on it's packaging talks about good bacteria for your intestines or some crap, and the kind I had had no sugar or carbs or flavor for that matter. I'm thinking it's just a bunch of chemicals and that can't be good for me? So I eat it and then tonight I'm going to yoga to do something good for my body, but is that just cancelled out by my eating this Frozen chemical conncotion? Not sure. I did go to the gym last night and do like a million lunges and I'm more sore every time I stand.