What are top graduate schools in psychology looking for?

[psych-maybe]

What ranges of GRE scores and GPA are acceptable?

Do you think someone who attains the average GPA (3.4-3.5) at a top 10 undergraduate institution stands a chance at admission to graduate programs like Stanford?

[repatriate]

The responses you got in the Applications forum are very good responses. Although numbers matter, the vagaries of psychology admissions dictate that there are no good, general rules. Each department handles applications a little differently; sometimes, individual faculty members will have a lot of freedom in picking individual students for their labs. In those cases, you need to worry about whether each faculty member to whom you are applying has a cutoff score and about the scores of the other applicants to their lab that year (i.e., your score might be at 50th percentile in their apps in year and at the 80th another year). In other cases, an admissions committee may have strong influence over the process and then there may be more formal cutoffs, or it may be more difficult for an individual faculty member to advocate for a student with low scores. And, again, your relative position withing the distribution of applicants might change from year to year (though less so).

The best answer is: get the best scores you can. You may be interested in the APA's book on graduate programs in psychology. They publish a new one each year that lists, I believe, mean and median scores of admitted students. Still, those stats don't tell you much. Half of the people admitted have scores at or below the median, so even if the median GPA of admits is 3.8, you have no way of knowing what the bottom-scorer scored.