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The following are the important limitations of the statistics:

1.Statistics does not deal with isolated measurement: Not all quantitative data are statistical. Isolated measurement are not statistical. 

2. Statistics deals only with quantitative characteristics: Statistics are numerical statements of facts. Such characteristics as cannot be expressed in numbers are incapable of statistical analysis. 

3.Statistical results are true only on an average:The conclusions obtained statistically are not universally true they are true only under certain conditions. 

4.Statistical is only a means:Statistical methods furnish only one method of studding a problem. They may not provide the best solution under all circumstances. 

5. Statistics can be misused: The greatest imitation of statistics is that it is liable to be misused.