Final answer:
The climate with the greatest annual average temperature range is likely a type D (continental) climate, characterized by large temperature differences between summer and winter.
Step-by-step explanation:
The climate with the world's greatest annual average temperature range is most likely found in type D climates, according to the Köppen-Geiger classification system. These climates, also known as continental climates, are characterized by large temperature fluctuations between summer and winter due to their location away from the moderating influence of large water bodies. In contrast, type A (tropical) climates have warm temperatures year-round with little variation, and type C (moderate) climates have milder seasonal temperature changes.