Apparatus, and associated method, for selecting distribution of processing tasks at a multi-processor data center

Apparatus, and an associated method, for selecting at which processing unit of a plurality of processing units positioned at a data center that a processing task is to be performed. Temperature sensors are positioned throughout the data center and associated with the individual ones of the processing units. Indications of sensed temperature levels are collected and monitored by a collector and monitor. The indications of the sensed temperatures are used both pursuant to cooling operations, controlled by a cooling controller, and pursuant to processing-task placement, determined by a workload placement controller.