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I just finished applying to every school I intend to apply to, then I realized there was an error regarding some of the dates on my resume. The error made it so some of the events on my resume overlapped and it's obvious the dates are wrong. I'm not sure what to do now. Should I send an updated resume to each of the schools or just hope for the best?

I made a small date mistake as well. If it's really noticeable, you should probably send a letter of explanation along. You don't want to give them any reason, you know?