1. A distributed processing system that performs distributed processing, the system comprising: a plurality of information processing apparatuses connected via a network, wherein the plurality of information processing apparatuses includes: a management node, which requests distributed processing of a job, and processing nodes, each node of a subset of which is to perform processing of a unique part of the job and to transmit a processing result to the management node, wherein the management node includes: a grouping unit, which requests the processing nodes to perform a test processing different from the distributed processing of the job, and which groups, based on processing results of the test processing received from the processing nodes, the subset of the processing nodes as a group of processing nodes of which performance of the distributed processing of the job is to be requested; and a requesting unit, which requests the group of processing nodes to perform the distributed processing of the job.