This is the 3224th most frequent Japanese word.
大方
"大方" (おおかた) means "mostly," "generally," or "perhaps."
In this sentence, "大方" means "most people" or "generally." It describes the general expectation of a large group.
大方の予想通り、結果は驚くべきものだった。
As most people anticipated, the outcome was surprising.
Here, "大方" indicates "mostly" or "largely," referring to the extent to which the cause has been clarified.
事故の原因は大方解明された。
The cause of the accident has been mostly elucidated.
In this usage, "大方" refers to the "major portion" or majority of the plan, conveying an implication of substantial completion.