You don't even need racial profiling to show that statistics harm individuals. Look at car insurance - in most countries you will have a massive premium to pay,just for committing the crime of being under 25. Even if you are 24, had your licence for 6 years, drove hundreds of thousands of miles without an accident, your insurance will still be higher than that of a 26 year old person who has just passed their drivers test and doesn't know anything about driving.
Why? Only because "statistically" you are more likely to be in an accident. Well, so are men, yet it is illegal to make their car insurance higher because of their gender in almost all EU countries.
You may not have done anything wrong, but are still "punished" for being part of the statistic. It makes me really upset sometimes.