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We might find that different ethnic groups differ significantly along some characteristic when averaged, but you need to know the variability too to know how useful the measurement is in determining whether someone belongs to which group. There might be significantly different group averages if you take a group of black people and a group of white people. But if there is a lot of overlap in the range of individual values of the group members it's not going to be very helpful in reverse reasoning, trying to find out if an individual belongs in the white group or the black group.
I can't see the details, it's behind a paywall for me.
These are the conclusions:
(I can't add a complete link as it includes an elibrary identifier)