Ok first, when naming things I think you should do everything you can to not use double-negatives. So you should say “gym average” or “no gym average”. Its shorter, and much less confusing.
Second, I’m still confused. Translating what you said, we’d have “no gym removed average” → “gym average” (since you remove everyone who doesn’t go to the gym meaning the only people remaining go to the gym), and “gym removed average” → “no gym average” (since we’re removing everyone who goes to the gym meaning the only remaining people don’t go to the gym).
Therefore we have,
gym average = no gym removed average < gym removed average = no gym average
So it looks like the gym doesn’t help, since those who don’t go to the gym have a higher average number of pushups they can do than those who go to the gym.
Ok first, when naming things I think you should do everything you can to not use double-negatives. So you should say “gym average” or “no gym average”. Its shorter, and much less confusing.
Second, I’m still confused. Translating what you said, we’d have “no gym removed average” → “gym average” (since you remove everyone who doesn’t go to the gym meaning the only people remaining go to the gym), and “gym removed average” → “no gym average” (since we’re removing everyone who goes to the gym meaning the only remaining people don’t go to the gym).
Therefore we have,
gym average = no gym removed average < gym removed average = no gym average
So it looks like the gym doesn’t help, since those who don’t go to the gym have a higher average number of pushups they can do than those who go to the gym.