Explanation:

- Initial Average Calculation:

- The average of 15 numbers is 41.

- Total sum = \(15 \times 41 = 615\).

- Removed Numbers:

- Five numbers removed: 21, 24, 39, 47, 97.

- Sum of removed numbers = \(21 + 24 + 39 + 47 + 97 = 228\).

- Remaining Numbers:

- Total sum after removing numbers = \(615 - 228 = 387\).

- New count of numbers = 15 - 5 = 10.

- New Average Calculation:

- Average of remaining 10 numbers = \(387 \div 10 = 38.7\).

- Check Options:

- Option 1: 39.2

- Option 2: 37.6

- Option 3: 38.7

- Option 4: 36.4

- Correct Answer:

- Option 3: 38.7