The reality is that people have trouble remembering 11 truly random and unrelated things, so they try to simplify and group things - e.g. by taking a base word and changing the spelling, or adding numbers on. This is what leads to the easy to brute force passwords; the cracking techniques now cater for the most popular variations.
So again, while you may be right on paper, you can't compare a 4 word passphrase with a true 11 character random password; they are on completely different scales of difficulty to remember. If you're interested, take a look at how the xkcd comic constructs the difficulty of the two passwords, it is fairly realistic. For what it's worth, it considers only "common" words (top 1000 to 2000 most popular) from the dictionary, and the passphrase wins out even so. Throw in a word from another language, would be my suggestion.