Math is about discovering and proving truths that are universally valid.
Stat is about drawing conclusions from data, often with uncertainty.| Aspect | Mathematics | Statistics |
|---|---|---|
| Focus | Abstract concepts, patterns, structures | Data collection, analysis, interpretation |
| Nature | Deductive reasoning (from theory to result) | Inductive reasoning (from data to inference) |
| Purpose | To develop theories and solve equations | To make decisions or predictions based on data |
| Core Activities | Proving theorems, solving equations | Estimating, testing hypotheses, modeling data |
| Key Topics | Algebra, calculus, geometry, number theory | Probability, sampling, regression, inference |