Question 1203772
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The sum of the 5 numbers in the set is 5*70 = 350.<br>
To have the largest possible value for the median, you need to have
(1) the two smallest numbers as small as possible; and
(2) the three largest numbers (i.e., including the median) as close together as possible.<br>
The numbers are all positive integers, so we want the smallest two numbers to both be 1.<br>
That means the sum of the largest three numbers is 350-2 = 348.<br>
Three integers as close together as possible with a sum of 348 means each of the numbers must be 348/3 = 116.<br>
The five numbers are 1, 1, 116, 116, and 116.<br>
ANSWER: (C) 116<br>