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Which one of the tools of dispersion seems to be the best one to use between...

Which one of the tools of dispersion seems to be the best one to use between the range, variance and standard deviation? What is the benefit of know how spaced the scores are in an analysis?

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Answer #1

Standard deviation is the best among range and variance .Since variance is the square of standard deviation so it is in squared units of the data whereas standard deviation is in the as units as the data so its better than variance.As far as range is considered its values is not very stable from sample to sample as it depends on the two extreme values of the data and not on each and every observation of the data.

Benefits of how much spaced the scores are as

They indicate the dispersal character of a statistical series They speak of the reliability, or dependability of the average value of a series They enable the statisticians for making a comparison between two or more statistical series with regard to the character of their stability or consistency They facilitate in controlling the variability of a phenomenon under his purview They facilitate in making further statistical analysis of the series through the devices like co-efficient of skewness, co-efficient of correlation, variance analysis etc. They supplement the measures of central tendency in finding out more and more information relating to the nature of a series.

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