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Write advantages and disadvantages of the standard deviation.

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Advantages of Standard Deviation:

  • Its definition is clear and precise.
  • All observations of the data are used in its computation.
  • It is a more efficient measure of dispersion among the other measures of dispersion.
  • If Mean and Standard deviations are given for two data sets, combined Standard deviation of new data set can be obtained. Thus, it is a suitable measure for other algebraic manipulations.
  • It is widely used as basic measure in higher study of Statistics.

Disadvantages of Standard Deviation:

  • Its computation is difficult as compared to other measures of dispersion.
  • Extreme observations enjoy more weightage in its computations.
  • It is not easy to understand for a common man.
  • It cannot be obtained for the open-ended frequency distribution.

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