why is the arithmetic mean the most commonly used of central tendency?

Arithmetic mean is the most commonly used measure of central tendency because of its following merits.

  1. It is simple and easy to calculate
  2. It is based on the values of all the observations in the series
  3. It is free from personal value
  4. Unlike median and mode which are positional average, mean is a mathematical average
  5. It is stable in the sense that it is least affected by fluctuations in the statistical series
  6. It can be used for the purpose of comparison of two or more series

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