Answer:
Data mining is an approach to finding unknown relationships in data, i.e. not attempting to confirm a specific hypothesis but looking for “interesting” relationships. A classic example is an engineer looking at a data set from a convenience store chain noticed the high correlation of men buying beer and diapers on Friday afternoons. (Despite urban legend, the store did not change anything because of it).
Data analytics is the use of statistical techniques to test hypotheses in order to improve decisions in business. Its really just a new name for things advanced companies have been doing for years. Big data is just hype to push a non-relational agenda