There are a great number of advantages and disadvantages of Arithmetic mean. One disadvantages is that it is not accurate.
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"The advantage is that the mean takes every value into account. A disadvantage is that it can be affected by extreme values. " The mean or more properly the "arithmetic mean" of a sample will eventually approximate the mean of the distribution of the population as the sample size increases. If the population distribution is skewed (not symmetrical), the mode and median will not provide an estimate of the mean, even as the sample size becomes large.
It is easy to use in further analysis calculation can be done easily using arithmetic mean is unique value for each data set
It does not display a directly display a median, mean, or range.
Advantages:Linear unbiased estimate of central tendencyThe arithmetic mean has a Gaussian (Normal) distribution which is well studiedMany robust methods to test for equality of (difference between) meansDisadvantages Cannot be used for qualitative dataMore difficult to calculate than some other measures of central tendencyMay be affected by outliersMay 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!
the advantages of deductive method