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Advantages:

  • Linear unbiased estimate of central tendency
  • The arithmetic mean has a Gaussian (Normal) distribution which is well studied
  • Many robust methods to test for equality of (difference between) means
Disadvantages
  • Cannot be used for qualitative data
  • More difficult to calculate than some other measures of central tendency
  • May be affected by outliers
  • May not be a value that can be realised: for example, the mean number of cars per household on my street is 1.7, but nobody has or can have 1.7 cars!
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Q: What are the advantages and disadvantages of arithmetic mean?
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