# Limitations of Statistics

The important limitations of statistics are:

**(1)** Statistics laws are true on average. Statistics are aggregates of facts, so a single observation is not a statistic. Statistics deal with groups and aggregates only.

**(2)** Statistical methods are best applicable to quantitative data.

**(3)** Statistics cannot be applied to heterogeneous data.

**(4)** If sufficient care is not exercised in collecting, analyzing and interpreting the data, statistical results might be misleading.

**(5)** Only a person who has an expert knowledge of statistics can handle statistical data efficiently.

**(6)** Some errors are possible in statistical decisions. In particular, inferential statistics involves certain errors. We do not know whether an error has been committed or not.