Variation 1: Introduction And Quartiles- Distribution and average

Variation 1: Introduction And Quartiles- Distribution and average
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What are some examples, other than temperature, where similar averages can be associated with very different distributions? A few thoughts: costs (e.g., cost of illegally downloading a song online is the same average cost of driving above the speed limit, assuming that you are only caught speeding occasionally); ERA of pitchers (i.e., some are very consistent, others are sometimes brilliant, sometimes horrible); success rates in surgery (i.e., do we want an operation that most surgeons can do pretty well, or one in which a few surgeons are nearly perfect and some have very poor results?)
The average household income in the U.S. is one example where similar averages can be associated with very different distributions. The mean or average is one of the most common measures to summarize a set of data and represents the equitable distribution when the total sum is equally distributed. The serv...