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Advantages can become disadvantages. Sometimes the disadvantages become the advantage. So, who's to say if it was an advantage or a disadvantage?
advantages of quartile deviation
advantages: reduce bias easy of sampling disadvantages: sampling error time consuming
advantages: its easier to figure out or look at exact numbers disadvantages: its harder to see the change between intervals
There are advantages and disadvantages to all three. The best for analysing results of one experiment may be useless for another. Having said that, the word "average" is almost always referring to the mean.