Which temperature range shows the highest potential for the formation of ice?

The temperature range from 0 to -20 degrees Fahrenheit shows the highest potential for the formation of ice primarily because it is above the freezing point (32 degrees Fahrenheit) and encompasses temperatures that are conducive to the supercooling of water. In this range, water can remain in a liquid state despite being below freezing, especially when it is free of impurities or disturbances. When temperatures drop further, as in the ranges below -20 degrees Fahrenheit, the formation of ice becomes more pronounced and less dependent on supercooling effects, but the likelihood of liquid water capable of freezing decreases.

Furthermore, temperatures above 0 degrees Fahrenheit typically do not support ice formation as conditions remain above freezing, while temperatures below -40 degrees Fahrenheit tend to be too cold for the presence of liquid water. Therefore, the 0 to -20 degrees Fahrenheit range includes conditions that can lead to ice formation under specific circumstances, thereby exhibiting the highest potential in the context of this question.