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According to the National Center for Education Statistics, the college graduation rate is much higher for such students:

As much as it pains me ;), I'm going to have to agree with Bostonian here. The "only 25%" figure is incorrect; the 60% figure--note that this is in SIX years, NOT four--is generally cited as accurate for students at 4-year colleges starting right after HS. If we prefer to look at "students finishing in 4 years," that's only 40%, which is NOT great, but it's not 25%.

I didn't watch the video, but I'd be concerned about its general accuracy based on this claim.