I'd like to add that that rule has to have a certain flexibility. For instance, we could decide to reflect the diversity of the district or the local community, but the trial could be held elsewhere than in the location of the offence or in the accused's hometown. Consequently, there has to be some leeway.
The objective is to reflect diversity in circumstances where there is clearly a lack of good faith or where there is a lack of diversity in a given location. The purpose is to allow the judge to solve the problem by holding a hearing and appointing one or two jury members from diverse communities, rather than proceeding simply according to tables and statistics. This would be a better solution to the problem.