Indeed. Just by normal statistical variance, we should expect that at least a few companies would have employee distributions that aren't exactly in line with t

Indeed. Just by normal statistical variance, we should expect that at least a few companies would have employee distributions that aren't exactly in line with the applicant population. When the government looks at everyone's employment data and seeks out people who are deviating from the mean, they are guaranteed to turn up spurious results. This is known as "Data Dredging" in science, and it is very bad.