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GRE Math Challenge #78-numbers in the list above are ordered
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03 May 2015, 01:43
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\(3, 7, 9, 14, x\)
The numbers in the list above are ordered from least to greatest. If the average (arithmetic mean) is 2 greater than the median, what is the value of x?
Re: GRE Math Challenge #78-numbers in the list above are ordered
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10 Aug 2016, 06:55
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sandy wrote:
\(3, 7, 9, 14, x\)
The numbers in the list above are ordered from least to greatest. If the average (arithmetic mean) is 2 greater than the median, what is the value of x? (A) 22 (B) 20 (C) 17 (D) 16 (E) 15
Since we're told the numbers are ordered from least to greatest, we can see that the MEDIAN = 9 We're told that the average (arithmetic mean) is 2 greater than the median So, the MEAN = 11
In other words, (3 + 7 + 9 + 14 + x)/5 = 11 Multiply both sides by 11 to get: 3 + 7 + 9 + 14 + x = 55 Simplify: 33 + x = 55 Solve: x = 22