7. Solution. To increase the average score in both groups, it is necessary to transfer students from group A to group B whose average score is higher than the average in group B but lower than the average in group A. Two students have a score higher than the average in B but lower than the average in A: Kalinina and Sidorov. If only Kalinina is transferred, the average score in group B will become

$$
\frac{38.8 \cdot 10 + 41}{11} = 39.44, \text{ and in group A it will be } \frac{38.8 \cdot 10 + 41 + 44}{12} = 39 \frac{5}{12} > 39.2.
$$
Answer: Kalinina and Sidorov need to be transferred from Group A to Group B.

Note: This solution may not be the only one.

| Evaluation Criterion | Score |
| :--- | :---: |
| Solution is complete and correct | 2 |
| Solution is generally correct, but it is not shown that both students need to be transferred, not just one | 1 |
| Solution is incorrect or missing (e.g., only the answer is given) | 0 |