What is the average SAT score of admitted freshman to Yale?

There's no single, publicly released "average" SAT score for admitted Yale freshmen. Yale, like many highly selective universities, doesn't publish a simple average. Instead, they release a range or percentiles, and even those can vary slightly from year to year.

What you will find are statements indicating that the vast majority of admitted students score extremely high on the SAT. Expect to see the vast majority of admitted students scoring within the 99th percentile or higher. However, to get a precise number would require access to Yale's internal admissions data, which is not publicly available.