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Bunuel
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Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
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It is B.
Statement 2 says youngest child in group A was 8 years old. Now this child is going to be shifted to group B. In group B, the first 4 children are <= 9 (because median is 9 which will be the 5th child).
On the other side, the largest of group A is definitely greater than 9 (it is >=13 to be precise).
So by bringing in a number smaller than a median and larger than the median into group B, the median of group B is not going to change.
rosyln
Option E is the correct answer.
The median age of 7 children in group A was 13;
The median age of 9 children in group B was 9;
4 children - the youngest and the oldest in each group - were exchanged between the groups. Determine the new median age of the children in group B.
1. Before the exchange, the oldest child in group B was 12 years old. However, we don't have enough information about the ages of the other children or how the exchange affects the median. Therefore, insufficient on its own.
2. Before the exchange, the youngest child in group A was 8 years old. Similar to statement 1, knowing the youngest child's age in group A doesn't give enough information to determine the new median of group B after the exchange. Therefore, insufficient on its own.
Even with both statements, we lack detailed information about the specific ages of the other children and the distribution of ages within group B after the exchange. Hence, we cannot precisely determine the new median for group B. Therefore, the statements together are insufficient to answer the question.
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B.

St1: Irrelevant coz 13 lies above median which won't change the median.
St2: Relevant, coz 8 is smaller than median, which means median will be shifted the median by one place to right from 5th term. Since age is an integer, thus new median will be 8 in group B.
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