The opening post shows some good insights for a 14-year old, or some egregious gaps in the education of a 21-year old.
Statistics is a branch of mathematics that enables us to draw reliable conclusions about a phenomenon based on a sample of information that about that phenomenon. Generalizations are non-statistical conclusions about a phenomenon that are untested and unproven, e.g., all Jews love money, all frum Jews are crazy. all goyim are stupid. Generalizations are an important tool for yentas. Statistics are an important tool for scientists.