Question

which measure of dispersion is best and how explain ?​

Answer 1

Answer:

Standard deviation is considered to be the best measure of dispersion and is thereore, the most widely used measure of dispersion. (i) It is based on all values and thus, provides information about the complete series. Because of this reason, a change in even one value affects the value of standard deviation.

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Answer 2

In Statistics,the most widely recognized method of measuring data dispersion is Standard Deviation.

Explanation:

• In Statistics,any measure of dispersion basically implies how vast,wide or stretched a certain data set or distribution is.Hence,it ideally measures the dispersion or wideness of any set of distribution of statistical data.
• Standard deviation is one of the widely used method of measuring data dispersion which estimates the mean variation or deviation of each of the observation or item within a particular data set or observation from the mean or average of the entire set or observation.
• Standard deviation has a comprehensive and quiet wide range of applicability in Statistics such as computational comparison between two distinct data sets,statistical hypothesis testing,providing crucial statistical indications about the entire data set or observation,measuring the range or stretch of the data set/observation and so forth.