mention any three merit of standard deviation
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(i)The standard deviation is the best measure of variation because of its mathematical characteristics. It is based on every item of the distribution. Also it is amenable to algebraic treatment and is less affected by fluctuations of sampling than most other measures of dispersion.
(ii)It is possible to calculate the combined standard deviation of two or more groups. This is not possible with any other measure.
(iii) For comparing the variability of two or more distribution coefficient of variation is considered to be most appropriate and this is based on mean standard deviation.
(ii)It is possible to calculate the combined standard deviation of two or more groups. This is not possible with any other measure.
(iii) For comparing the variability of two or more distribution coefficient of variation is considered to be most appropriate and this is based on mean standard deviation.
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Answer:
Merits of Standard Deviation
1. Based on all values
2. Rigidly defined
3. Less effect of fluctuations
4. Capable of algebraic treatment
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