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What statistics are required for data analysis?

Talking of data analysis as a subject, there are three branches to it – descriptive analysis, predictive analysis and prescriptive analysis. The role of statistics is minimal in descriptive analysis (which focuses on identifying trends in business performance, and attributing trends and patterns to various factors or variables). But, in both predictive & prescriptive analysis, students must be aware of few of the frequently used modelling techniques such as classification algorithms, clustering & logistic models and other multi-variate models as well.