Pakman33
I really don't think Rotman's applicant pool could be near LBS (2,500+ Applicants), or even HEC Paris (2,100+); the average candidate at both schools has a near-700 GMAT.
If they had an equally sized pool of candidates, they would have a more comparable average GMAT (Rotman Class of 2021 is at 669). Also, the population is important because nearly half of Canadian & European MBA program applicants are domestic.
Rotman stopped focusing solely on the GMAT in 2017- You will notice that despite applications rising 30% in 2017, the average GMAT actually fell 10 points. So for Rotman, the average GMAT isn't correlated with the number of applicants.
Pakman33
I assumed 1,200 applicants remained relatively steady from 2013 to 2016, then 30% jump lands us around 1,500 for class of 2019 + about 8% growth class of 2020 (According to GMAC).
You're grossly understating the growth from 2013-2017- The international student population in Canada/Toronto grew by 12% and 8% respectively and Rotman's MBA class almost doubled in size in that same period.
Furthermore, if you look at the Rotman GMAT Club applicant tracker, the growth in applications was 14% in 2016, 13% in 2018 and 19% in 2019. If you assume a (very very conservative) 3% annually from 2013-2016 and then 30% in 2017 and then 10% annually in 2018 and 2019, you get to 2300 - Which is still wayyyy understated if you ask me.