Those with immigrant background are over-represented in Danish crime statistics.
An index standardized for age shows that crime rates are 48% higher among male immigrants and 140% higher among male descendants of immigrants
"Indvandrere i Danmark 2015" [Immigrants in Denmark 2015] (in Danish). Statistics Denmark. 2015

Immigrants (blue) and descendants of immigrants (red). Countries are listed in order according to "blue" values. Example: Index 125 means a man from country X was 25% to be convicted of a crime. Yugoslavia means male immigrant ts born in that country before it was split up
Bar chart above shows number of perpetrators aged 15 and older per 1000 residents per foreign-born population for the years 2010–2013, according to Statistics Norway.
Source: Synøve N. Andersen, Bjart Holtsmark & Sigmund B. Mohn (2017). Kriminalitet blant innvandrere og norskfødte med innvandrerforeldre En analyse av registerdata for perioden 1992–2015. Statistics Norway. pp. 27, 29, 30 (Tabell 3.3). ISBN 978-82-537-9643-7.
According to a 2017 study by Statistics Norway, crime rates of immigrants varied with the reason for immigration. Three groups were overrepresented: refugees had the highest crime rate at 108.8 per 1000 population, family reunification immigrants were overrepresented at 66.9 per 1000 and labour migrants were overrepresented at 61.8 per 1000 population.
Source: Synøve N. Andersen, Bjart Holtsmark & Sigmund B. Mohn (2017). Kriminalitet blant innvandrere og norskfødte med innvandrerforeldre En analyse av registerdata for perioden 1992–2015. Statistics Norway. pp. 27, 29, 30 (Tabell 3.3). ISBN 978-82-537-9643-7
In Denmark, a quarter of all rape convictions were foreign nationals who do not hold Danish citizenship
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