statist

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by sud21 » Thu Jan 12, 2012 9:36 am
What is the median of numbers 4,5,6,7,9, and x?
1). X>7
2). The mean of the six numbers is equal to the median.
Source: — Data Sufficiency |

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by user123321 » Thu Jan 12, 2012 2:22 pm
sud21 wrote:What is the median of numbers 4,5,6,7,9, and x?
1). X>7
2). The mean of the six numbers is equal to the median.
4,5,6,7,9,x
1) x > 7 => x will be greater than 7. so this will not change the median which is (6+7)/2 = 6.5 hence suff.
2) mean of six numbers is equal to median.
=> median = (31+x)/6 = 5 + (1+x)/6
seeing this i get x can be 5,8,11,14...
the given conditions after substituting various x's works only when x = 8
hence suff.

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