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Predominantly, Muslim countries average 2.4 murders per annum per 100,000 people, compared to 7.5 in non-Muslim countries. The percentage of the society that is made up of Muslims is an extraordinarily good predictor of a country's murder rate. More authoritarianism in Muslim countries does not account for the difference. I have found that controlling for political regime in statistical analysis does not change the findings. More Muslims, less homicide.
https://www.vox.com/2015/1/30/7951309/islam-violence
I couldn't find sharia states comparison but this is muslim states and non-muslim states comparison. What are your sources?
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