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Sorry, I wasn't clear. You were saying that the per capita murder rate would be higher if the population wasn't so large. That's true, but also a strange argument. You'd have to assume that the number of murders stayed the same, e.g. you reduced the population, but all the murderers remained.
It's changing one variable in an equation, assuming the other stays equal, and saying that the result changes. Of course it does. You could also say that if there were more murders it would have a higher per capita murder rate.
Sorry man, but your logic isn't coming through clear at all (and I don't think Google will help).
You can't just say that with a smaller population the deaths per 100,000 residents in Brazil would be higher. For that to be true you'd have to assume that this smaller population still had the same number of murders, i.e. you've removed innocent people from the population and kept the murderers, making it a more violent place.

You take 8 million random Brazilians and move them into an area the size of Honduras (not very big). Your murder rate/100,000 per annum will be higher than it is currently...
There are two ways this would be true. 1) Your random sample had a greater percentage of violent offenders than the general population of Brazil. 2) People become more violent when packed into a smaller area.
But back on topic... is there really any other sport in the world that attracts such behaviour? And I say this as a football fan. There are other sports that are more inherently violent in the playing but that doesn't seem to spill out onto the crowd.
You take whatever the population of Honduras is. apx 8million. You take 8 million random Brazilians and move them into an area the size of Honduras (not very big). Your murder rate/100,000 per annum will be higher than it is currently (in Brazil) because your dealing with apx 194,000,000 people.
There are two ways this would be true. 1) Your random sample had a greater percentage of violent offenders than the general population of Brazil. 2) People become more violent when packed into a smaller area.
Years ago I worked with a very nice young engineer. He loved baseball and decided to ref. He took the course and became certified. He didn't even want to complete his first year. I joked with him that the kids were starting to get to him. He said no, it's the parents that he couldn't tolerate. As I got older and had kids, I recognized his complaints at almost every game I attended. Just last year my grandsons soccer team had to ask a young man to find a new team to play on. The reason, his PARENTS. I think in today's society anything is possible and probable.
;-) just my $.02
But back on topic... is there really any other sport in the world that attracts such behaviour? And I say this as a football fan. There are other sports that are more inherently violent in the playing but that doesn't seem to spill out onto the crowd.