That's only true if the difficulty is fixed for everyone (no vardiff).
Oh okay I had not heard of that term before today. So is it feasible that his difficulty is so much higher that this is a reasonable number of shares for his computing power?
Yes, difficulty is basically the complexity of a job (share) that is expected by the pool. Low difficulty (compared to your mining speed) is easy to solve so you'll be solving shares too fast and stressing the pool with all the constant data. If it's too high then you'll miss out on solving shares in time. Difficulty can be fixed or it can be variable (vardiff) which keeps adjusting the difficulty periodically for each miner so they all submit their shares at the same frequenty regardless of their speed.
I have no idea if the pool he's using (eth.f2pool.com) uses vardiff but that pool likely uses a different difficulty than ethermine.org - but than again I'm not familiar with those pools and CBA to check myself.