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Measures of dispersion — Statistics STD 11 Commerce — Question

Gujarat BoardEnglish MediumSTD 11 CommerceStatisticsMeasures of dispersion3 Marks
Question
Write advantages and disadvantages of the standard deviation.
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Answer

Advantages of Standard Deviation :
  • Its definition its 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 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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