sociology_hopeful

I will be applying for Sociology PhD programs this fall and recently took the GRE. I decided to look around for programs that listed average GRE scores to decide whether I wanted to retake or not. I noticed that most (top 10) programs list average or expected scores at about 90th percentile for the Verbal section, and 75th percentile for the Quantitative section. However, something that jumped out at me was Stanford Sociology, which wrote on their FAQ page that "admitted students typically have GRE scores of 166+ verbal, 163+ quantitative, and a score of 5.5 in the Analytical section." This seems to be way higher than every other program, even the other programs in the top 5. This worries me a bit, since I received exactly 1 point lower in verbal and quant, and 0.5 points lower in writing (165 verbal, 162 quant, 5.0 writing), and now I'm really considering retaking, since Stanford Sociology is my dream program. I was wondering whether spending more time and money to retake the GRE would be a good idea, especially since almost everyone has told me that adcoms don't really care about GRE scores after a certain threshold. Does anyone know if GRE scores play a large role in admissions for Stanford Sociology? Why is it that Stanford's listed GRE scores are so much higher than other programs? Is there a point where increasing your scores doesn't really help your chance of admissions anymore? (For more context, my GPA is about 3.6-3.7 from one of the UCs.)