For analysis, it's very useful to graph things out. Here are some plots from an MPEG-2 encoder I used to work on. The bitstream is true CBR with an IPPPPP GOP. Looking at the running average, it can be seen that the CBR rate control is pretty "tight" (doesn't fluctuate much). The upward spikes are due to I-frame insertion at scene changes.
And a zoom in.
Ron