A network monitoring apparatus in a mobile communications network monitors, for a predetermined time, TCP packets in the network that tend to comprise end-user traffic using the high-speed data path but not the low-speed data path to provide monitored packet information. The network monitoring apparatus uses this monitored packet information to identify the fastest end user-experienced communication exchanges within the mobile communications network. By one approach, the network monitoring apparatus effectively filters out most or all of the end-user traffic that uses the low-speed data path when providing that monitored packet information. This can comprise, for example, tending to utilize data pertaining to TCP packets that correspond to higher traffic volume (and hence that are likely being conveyed via a high-speed data path) while also tending to discard data that pertains to TCP packets to that correspond to low traffic volume (and hence that are likely being conveyed via a low-speed data path).