1) There are two main approaches to sociology - interpretivism and positivism. Interpretivism takes a bottom-up approach starting with individuals and uses qualitative methods like participant observation. Positivism takes a top-down approach and uses quantitative methods to test theories.
2) Max Weber argued for verstehen, or understanding social actions from the actor's point of view by attempting to see the world through their eyes. This established an alternative to prior sociological positivism.
3) In a study of a London housing estate, the researcher found through qualitative methods that residents felt safe, despite statistics showing it as crime-ridden. This highlights how quantitative and qualitative data can show