Alabama is one state that requires the ACT. The mean score in Alabama is below 18/36. Wisconsin is another. Its students score on average about 1 point higher than the national average of 19.4/36.
If you prefer states that require the SAT, the mean SAT score of students from Delaware is less than 980/1600, about 50 points below the national average.
I'll leave it to others to argue about whether these exams are rigorous.