Well for the thought experiment it could go any way you want, but for more fun I would try to collate your choice with a plausible pattern. For example, for the 20" big dog, you could say that it might be one-off event in a highly amplified pattern therefore maybe there is some warm air around so completely plausible that the rest of the month is average or mild. The 10 2-inches would be indicative of a serious cold pattern without a lot of moisture in one individual storm and so on.