Rationale
1/2 of (6 + 3 + 9 + 7) equals 12.5.
To find 1/2 of the sum of the numbers 6, 3, 9, and 7, we first calculate their total, which is 25. Dividing 25 by 2 gives us 12.5, making it the correct answer.
A) The choice of 14 suggests an incorrect calculation. If we were to add 6, 3, 9, and 7, the total is not 28 (which would be half of 14), but rather 25. Thus, halving 25 is necessary to arrive at the correct answer.
B) This is the correct answer. The sum of 6, 3, 9, and 7 equals 25. When divided by 2, the result is 12.5, which accurately represents half of the total sum.
C) The choice of 3.5 implies a significant misunderstanding of the problem. To arrive at 3.5, one would have to either sum a smaller set of numbers or miscalculate the division of the total. This choice does not reflect any proper calculation related to the given numbers.
D) The option of 11.5 also indicates a miscalculation. If one were to incorrectly sum the values or divide incorrectly, they might arrive at this answer. However, it does not represent half of the correct total of 25.
Conclusion
The calculation of 1/2 of the sum of 6, 3, 9, and 7 leads to the correct answer of 12.5, derived from first adding the numbers to get 25 and then dividing by 2. The other options reflect miscalculations or misunderstanding of basic arithmetic operations performed on the provided set of numbers.