In the context of a food web, a keystone species is one that has a disproportionately large effect on its environment relative to its abundance. Among the options provided—frog, deer, mouse, and grasshopper—the frog is often considered to be a keystone species in many ecosystems. Frogs can serve as both prey and predator, helping to control insect populations (such as grasshoppers) while also supporting higher-level consumers (like snakes and birds).
Therefore, the most likely keystone species based on the food web provided is:
frog