> "imagine the dumbest person you know. Now realize 50% of people are stupider than that!"

That's not how Carlin's quote goes.

You would know this if you paid attention to what you wrote and analyzed it logically. Which is ironic, given the subject.

That's why I used the phrase "to paraphrase"

You would know this if you paid attention to what I wrote and analyzed it logically. Which is ironic, given the subject.

You paraphrased it incorrectly

… so presenting it as a paraphrase is misleading.

While I agree with your sentiment, the actual quote is subtly different, which changes the meaning:

"Think of how stupid the average person is, and realize half of them are stupider than that."