1) Data displayed in Gui -> Statistics -> Analytics provide detailed metrics such as transactions per second, page load time, server and client latency, request and response throughput, and user sessions.
You can view metrics for applications, virtual servers, pool members, URLs, specific countries, response codes, user agents, HTTP methods, countries, and IP addresses.it also provide detailed statistics for CPU, RAM and Disk space.
You can see these DATA when AVR Module is provisioned. It provide statistical analysis mainly for the traffic that is going through the system.
2) Data displayed in Gui -> Statistics -> Performance Report provides BIG-IP system itself throughput statistics not traffic going through the system
It provides statistics related to CPU, RAM, RAM Cache, Througput,Memory >>> Not related to Traffic
These statistics not requiring for any modules provisioning.