how does the gap between percentages work?

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I don’t even know if the question is well written but this is my doubt: sometimes (in the area of medicine in my case) you can read numbers like “between 30 and 80 percent of the patients have a relapse”.
Isn’t a percentage an average per se?
If I do an experiment with 100 people, shouldn’t I have an exact percentage of people who react in certain way? How can’t I know if they are 30 or 80?

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Anonymous 0 Comments

>If I do an experiment with 100 people, shouldn’t I have an exact percentage of people who react in certain way?

Yes, but then if you do it again with a *different* 100 people, you’ll get a different answer.

>“between 30 and 80 percent of the patients have a relapse”

means that the outcomes for a given group of 100 you happen to pick will land somewhere between 30-80%, which you’re right doesn’t narrow things down very usefully at all.

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