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Group \(X\) has \(6\) students \(3\) boys who are each

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by AAPL » Sun Apr 07, 2019 5:32 am

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Group \(X\) has \(6\) students \(3\) boys who are each \(j\) years old, and \(3\) girls who are each \(k\) years old. Group \(Y\) has \(4\) students, \(1\) boy who is \(j\) years old and \(3\) girls who are each \(k\) years old. What is the variance of the ages in group \(Y\)?

1) The standard deviation of \(X\) is \(0\).
2) \(j=k\).

OA D
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Source: — Data Sufficiency |

by swerve » Sun Apr 07, 2019 10:26 am
Statement 1
We have that standard deviation \(=0\) this will happen only when all the terms in the set are the same.
Hence \(j=k\), Variance \(= 0\).
Sufficient

Statement 2
We have the same \(j=k \Rightarrow\) Variance \(=0\).
Sufficient

Hence, __D__ is the correct option.
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