by ohthatpatrick Fri Feb 17, 2017 3:11 pm
They defined obese as essentially: "top 15% fattest kid for kids your age"
Because of that definition, you could never have 20% of kids be obese.
The definition forces it to ALWAYS be 15% are obese and 85% are not. If there were 100 eight year olds, they could go up and down in weight, and we'd always just be saying "the top 15 fattest are the obese ones".
The average weight of the kids could go from 80 lbs. to 120 lbs., and we would STILL only say that 15 of them are obese, because it's a comparative distinction. It's not an absolute number, it's just "you're fatter than 85% of the kids your age".
Again, if we have 100 eight year olds, there will ALWAYS be 15 obese ones, and 85 non-obese ones. Those numbers will never change, no matter how the weights of the 100 kids fluctuate. What might change is WHICH kids are among the 15 obese ones, but the total number will never change, because it will always be 15% of the total kids.
So if the stimulus tells us that now there are MORE than 15 obese kids, we know that the total kids had to go up.
If, for example, there were 200 eight year olds, 30 would be obese and the remaining 170 would be non-obese.
We can't JUST increase the number of obese kids while keeping non-obese kids constant, or else the percentages would be off.
If we had 30 obese and (the original) 85 non-obese, then
30/115 = approx 24% are obese
85/115 = approx 76% are non-obese
The definition doesn't allow that. It's always a 15% / 85% split.