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median = 100, mean = 1000

set of numbers = {a,b,100,c,d}

a+b+100+c+d = 5000

As the set contains distinct numbers, and there is no range that is given in the problem, we can consider the set of numbers as {1,2,100,101,4796}

So the largest possible integer can be 4796.

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Q: A set of five distinct positive integers has a mean of 1000 and a median of 100 What is the largest possible integer that could be included in the set?
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