Statistics is a mathematical science pertaining to the collection, analysis, interpretation or explanation, and presentation of data. Statisticians improve the quality of data with the design of experiments and survey sampling.
- Statistics does not deal with isolated measurement
- Statistics deals with only quantitative characteristics
- Statistics laws are true on average. Statistics are aggregates of facts. So single observation is not a statistics, it deals with groups and aggregates only.
- Statistical methods are best applicable on quantitative data.
- Statistical cannot be applied to heterogeneous data.
- It sufficient care is not exercised in collecting, analyzing and interpretation the data, statistical results might be misleading.
- Only a person who has an expert knowledge of statistics can handle statistical data efficiently.
- Some errors are possible in statistical decisions. Particularly the inferential statistics involves certain errors. We do not know whether an error has been committed or not.