I've been reading about statistics. I've read that it's a bad idea to compare 2 things, when all you know about the things is percentages. I've been trying to understand why.
Example:
I guess it's something like having 2 fuel tanks in my car, one with a gauge-needle that moves whenever I hit a bump. They both read "¼" right now. Maybe that's because I have a ¼-tank of gas. And maybe it's because I just hit a pot-hole. Which tank has more gas? I dunno. The unstable needle means I can't really compare the measurements.
Example:
- Ask 100 people if they own a pet. 50 say "Yes," and 50 say "No."
- Ask 10 people the same question. 5 say "Yes," and 5 say "No."
- 51/101 people -- 50.5% -- report owning a pet.
- 6/11 people -- 54.5%(!) -- report owning a pet.
I guess it's something like having 2 fuel tanks in my car, one with a gauge-needle that moves whenever I hit a bump. They both read "¼" right now. Maybe that's because I have a ¼-tank of gas. And maybe it's because I just hit a pot-hole. Which tank has more gas? I dunno. The unstable needle means I can't really compare the measurements.