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Measures of Dispersion — Economics STD 11 Commerce — Question

CBSE BoardEnglish MediumSTD 11 CommerceEconomicsMeasures of Dispersion3 Marks
Question
What are the properties of standard deviation?
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Answer

The properties of standard deviation are as follows:
  1. Standard deviation is the most popular measure of dispersion.
  2. It is not affected by change in origin, but is affected by change in scale.
  3. A distribution with lesser coefficient of variation shows greater consistency, homogeneity and uniformity, whereas a distribution with greater coefficient of variation is considered more scattered.
  4. For two or more groups, it is possible to measure the combined standard deviation.

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