What are the properties of standard deviation? - Vidyadip

Question

What are the properties of standard deviation?

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Answer

The properties of standard deviation are as follows:

Standard deviation is the most popular measure of dispersion.
It is not affected by change in origin, but is affected by change in scale.
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.
For two or more groups, it is possible to measure the combined standard deviation.

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