Be aware that the GPA and SAT averages you are looking at on College Data site are the averages of those students registered on that site who are interested in Chicago. They are not the averages of real applicants to the university and certainly not those of admitted applicants. The average Math/Reading SAT of admitted students last year, as I recall, was 1515 out of 1600 and the average unweighted GPA of admitted students was well above 3.76.
The average SAT score of admitted students at UChicago is one the the 3 highest in the country and higher than Harvard, Stanford, or Yale. If i recall correctly only Cal Tech has a higher average SAT. There is some evidence that Chicago puts more weight on a high SAT in the reading section. A 1560 to 1600 is helpful along with great essays. There are also indications that at Chicago SAT scores, GPA, and essays carry more importance than ECs.
As others have mentioned there are always those students admitted who have GPAs and SAT scores below what one would think could gain admittance but you should know that this is a very small percentage of the 7,8% who are accepted these days. I don’t wish to discourage you but your GPA should be a real concern and remember that since you plan to apply early you won’t have first semester senior year to raise GPA.
I assume you will apply to several schools and I think that would be a good plan.