Mean Inside a Set
Let and be positive non-zero integers and is ascending in the order above. Is it possible that when a number is taken away, the remaining numbers have a mean equal to the removed number but the mean is not equal to (the median of the five numbers)?
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1 solution
An example would be a = 1 , b = 2 , c = 3 , d = 4 , e = 1 0 . If we take away d , the remaining numbers have a mean of 4 , which is equal to d but not to c . Adding them each with a number would still satisfy the question.