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Set \(S\) contains exactly four distinct positive integers. Is the mean of \(S\) equal to the median of \(S\)?
1) The smallest term in \(S\) is equal to the sum of the two middle terms minus the largest term in \(S\)
2) When the range of \(S\) is added to the sum of all the terms in \(S\), the resulting sum is equal to the smallest term in \(S\) plus three times the largest term in \(S\)
The OA is D
Source: Manhattan Prep
1) The smallest term in \(S\) is equal to the sum of the two middle terms minus the largest term in \(S\)
2) When the range of \(S\) is added to the sum of all the terms in \(S\), the resulting sum is equal to the smallest term in \(S\) plus three times the largest term in \(S\)
The OA is D
Source: Manhattan Prep
