In the UK, under the NHS, summary data regarding a surgeons performance is published [1].
There is an interesting debate about whether this is a good thing or not. One argument is that it improves transparency and allows patients to make a better, more informed choice of who operates on them.
The counterargument is that most patients don't understand that there is an element of probability distribution involved. Perhaps more importantly, if the thought process of a surgeon changes from "performing surgeries to the best of my abilities and knowing I will lose my job if I am dangerous" to "all my results are published for public scrutiny so I need to have a survival rate as close to 100% as possible as that is all the public comprehend" may lead to surgeons only being willing to take on cases which are very likely to be successful, as taking a difficult or last-chance case will have a high probability of mortality and therefore will affect their numbers. This would be a loss for many people. I don't know if any research has been done to determine whether that has borne out or not though.
[1] https://www.nhs.uk/service-search/Consultants/performanceind...