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List \(Q\) contains \(3\) elements. What is the median of list \(Q?\)

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by VJesus12 » Tue Oct 20, 2020 5:32 am

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List \(Q\) contains \(3\) elements. What is the median of list \(Q?\)

(1) The mean of list \(Q\) is \(7.\)
(2) The mode of list \(Q\) is \(5.\)

Answer: B

Source: Princeton Review
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Source: — Data Sufficiency |

VJesus12 wrote:
Tue Oct 20, 2020 5:32 am
List \(Q\) contains \(3\) elements. What is the median of list \(Q?\)

(1) The mean of list \(Q\) is \(7.\)
(2) The mode of list \(Q\) is \(5.\)

Answer: B

Source: Princeton Review
Statement 1 is clearly insufficient \(\Large{\color{red}\chi}\)

On the other hand, from statement 2 we have,
Set can be \((3,5,5 ), (0,5,5), (5,5,8)\) median of set can be determined, so, sufficient. \(\Large{\color{green}\checkmark}\)

Therefore, B
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