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16 Sep 2014, 00:26
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What is the value of \(x\)?
(1) \(x\) is the mode of the data set {3, 0, 1, -1, 0, 5, 1}.
(2) \(x\) is the median of the set {-4, 4, 2, -2}.
(1) \(x\) is the mode of the data set {3, 0, 1, -1, 0, 5, 1}.
(2) \(x\) is the median of the set {-4, 4, 2, -2}.
16 Sep 2014, 00:26
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Official Solution:
What is the value of \(x\)?
(1) \(x\) is the mode of the data set {3, 0, 1, -1, 0, 5, 1}.
The mode of a data set is the number that appears most frequently. For example, the mode of the data set {2, 3, 4, 4} is 4. A data set can also have more than one mode. For example, the data set {2, 2, 3, 3, 5} has two modes, 2 and 3. If all numbers in a set appear the same number of times, the data set has no mode. For example, the set {1, 2, 3} has no mode.
Given this information, the set {3, 0, 1, -1, 0, 5, 1} has two modes: 0 and 1. Therefore, \(x\) could be either of these two values. Not sufficient.
(2) \(x\) is the median of the data set {-4, 4, 2, -2}.
The median of a set with an even number of terms is the average of the two middle terms when they are arranged in ascending or descending order. Therefore, the median of {-4, -2, 2, 4} is \(\frac{-2+2}{2}=0\). Consequently, \(x=0\). Sufficient.
Answer: B
What is the value of \(x\)?
(1) \(x\) is the mode of the data set {3, 0, 1, -1, 0, 5, 1}.
The mode of a data set is the number that appears most frequently. For example, the mode of the data set {2, 3, 4, 4} is 4. A data set can also have more than one mode. For example, the data set {2, 2, 3, 3, 5} has two modes, 2 and 3. If all numbers in a set appear the same number of times, the data set has no mode. For example, the set {1, 2, 3} has no mode.
Given this information, the set {3, 0, 1, -1, 0, 5, 1} has two modes: 0 and 1. Therefore, \(x\) could be either of these two values. Not sufficient.
(2) \(x\) is the median of the data set {-4, 4, 2, -2}.
The median of a set with an even number of terms is the average of the two middle terms when they are arranged in ascending or descending order. Therefore, the median of {-4, -2, 2, 4} is \(\frac{-2+2}{2}=0\). Consequently, \(x=0\). Sufficient.
Answer: B
18 Sep 2019, 03:00
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Bunuel ,
What if X is totally new value which is not present in a set. Dont you thinnkk it should have been stated in the question.
Because I have seen one such question where X was present in set as a Variable
Correct me if Im wrong
What if X is totally new value which is not present in a set. Dont you thinnkk it should have been stated in the question.
Because I have seen one such question where X was present in set as a Variable
Correct me if Im wrong
