Hey Bsb,
First of all CEMS is an exchange program in which European colleges participate, students can usually opt for it in their 2nd year. There is no specific admission procedure for that. You apply into it only when you are studying at a MiM college.
Secondly, you may not even need to give the TOEFL or the IELTS, it may be a requirement in the UK or Germany. But in countries such as France, Spain etc it is not required. Just a good GMAT score is enough.
So check up on your target universities if you even need a TOEFL score.
Third, there is no avg GMAT score and it varies depending upon the level of universities you are applying to. For tier 1 universities (HEC, LBS, ESCP, RSM) you have to aim for a score above 680.
For lower ranked universities a score above 650 gives you a fighting chance.
Lastly, for improving your profile, well you can join a NGO, join an association, organize some fest, play team sports, join toastmasters or rotary club. There are endless possibilities. It all boils down to how you explain these activities in your essays.
Hope the answer helped.
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www.mim-essay.com to gain more in depth knowledge about the MiM degree & get tips on how to crack the MiM application process.
Regards,