Five integers have an average of 69. The middle integer (the median) is 83 . The most frequently occurring integer (the mode) is 85 . The range of the five integers is 70 . What is the second smallest of the five integers?
(A) 77
(B) 15
(C) 50
(D) 55
(E) 49
Solution

Since the middle integer (the median) is 83 , the two larger integers must both be 85 (the mode). Since the range of the integers is 70 , the smallest integer is $85-70=15$.

The sum of all five integers is $5(69)=345$.

Thus, the second smallest integer is $345-(85+85+83+15)=77$.

ANSWER: (A)

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