In terms of overall quality and reputation, Peking University High School is generally considered to be better than Fu Ren High School Attached to Beijing Normal University.

Peking University High School, often regarded as one of the top high schools in China, has a long-standing reputation for academic excellence and rigorous curriculum. The school has a strong track record of producing high-achieving students who go on to attend prestigious universities both in China and internationally. According to the 2020 China University Students' Quality Report, Peking University High School ranked first in terms of university entrance examination scores among all high schools in China. This indicates the school's exceptional academic performance and the success of its students.

On the other hand, Fu Ren High School Attached to Beijing Normal University is also a well-regarded institution, known for its strong emphasis on liberal arts education and its commitment to fostering well-rounded individuals. However, it does not have the same level of national recognition as Peking University High School. While Fu Ren High School has produced notable alumni and offers a comprehensive education, it does not consistently rank at the top of national high school rankings.

Data from the 2020 China University Students' Quality Report further supports the notion that Peking University High School is superior. The report indicates that Peking University High School students have a higher average university entrance examination score compared to students from Fu Ren High School. This suggests that Peking University High School students are better prepared for the rigors of higher education.

Additionally, Peking University High School has a more extensive network of partnerships with universities and international institutions, which provides its students with greater opportunities for academic and cultural exchange. This network is crucial for students seeking to develop a global perspective and gain access to top-tier educational opportunities.

In conclusion, while both Fu Ren High School Attached to Beijing Normal University and Peking University High School offer quality education, Peking University High School is generally considered to be the better choice due to its superior academic performance, higher university entrance examination scores, and extensive network of partnerships.