Below is a list of the average GMAT scores of MBA students in nonUS programs along with some other useful information. Another point of information sometimes listed alongside a class' average GMAT score is the middle 80% range. In general, falling somewhere in the middle 80% range GMAT score is what you need to get into a school. If you have a score lower than the middle 80% range for a certain school the probability of you being accepted is small. On the other hand, if you have a score that is higher than the 80% range then your GMAT score is definitely not going to keep you out of the school (although other parts of your application still can).
The below information comes from several different sources including the official MBA program websites, Business Insider (France), and Forbes, with the numbers being sourced from the classes of 2019. In general, the average GMAT score has increased by 510 points for most programs over the last year.
Cambridge University (Judge)
Mean GMAT score: 691
Cranfield University
Mean GMAT score: 680
ESADE
Mean GMAT score: 660
HEC  Montreal
Mean GMAT score: 625
HEC  Paris
Mean GMAT score (class of 2019) : 690
IESE
Mean GMAT score: 681
IMD
Mean GMAT score: 680
INSEAD "While we do not have a minimum GMAT score required for admission, we advise candidates to aim for a score at or above the 70th75th percentile for both the quantitative and verbal sections of the test. Please keep in mind, however, that the GMAT is just one of several admission criteria. A high score does not guarantee admission, and a below average score does not eliminate a candidate. (a 36 in the Verbal section is 77 percentile and a 46 in the math is 75 percentile. That means your total score should be above a 660). The statistics were as follows for last year's class
Median GMAT score: 710
Middle 80% range GMAT score
From: 670 to: 750
Instituto de Empresas
Mean GMAT score: 670
London Business School
Median GMAT score: 710
Range of scores: 600 to 780
Manchester Business School
Mean GMAT score: 650
Range of scores: 600 to 760
McGill University
Mean GMAT score: 631
Median GMAT score: 620
Middle 80% range GMAT score
From: 580 to: 700
Oxford (Said)
Mean GMAT score: 660
Queens University
Mean GMAT score: 650
SDA Bocconi
Mean GMAT score: 665
Toronto (Rotman)
Mean GMAT score: 669
Middle 90% range GMAT score
From: 560 to: 740
University College  Dublin
Mean GMAT score: 640
University of British Columbia (Sauder)
Mean GMAT score: 650
University of Warwick
Mean GMAT score: 660
Western Ontario (Ivey)
Mean GMAT score: 667
Median GMAT score: 670
York (Schulich)
Mean GMAT score: 660
Middle 80% range GMAT score
From: 600 to: 750
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