The correct answer is - the lives of early humans by examining artifacts.
The archaeologists are focused on the excavation and examination of the artifacts left throughout the history by humans, and through this artifacts they are trying to figure out, explain, reconstruct, the human societies, how did the humans lived in the past, what were their activities, their development or stagnation and the reasons for that.
I think the correct answer from the choices listed above is the second option. An archaeologist studies the lives of early humans by examining artifacts. It studies the human activity by recovering and analyzing of material remains. Hope this answers the question. Have a nice day.