Final answer:
The range of wood lengths measured in inches is the difference between the longest and shortest pieces. In this case, it is 10 1/4 inches, corresponding to option D.
Step-by-step explanation:
The student is asking about determining the range of a set of wood piece lengths measured in inches. The range is calculated by subtracting the shortest length from the longest length in the set. To find the range, first organize the measurements from smallest to largest, then subtract the smallest measurement (2 1/2 inches) from the largest measurement (12 3/4 inches).
- Arrange the lengths: 2 1/2, 3 1/2, 4 1/2, 5 1/4, 6, 6, 8, 9 1/2, 10 1/4, 12, 12 1/2, 12 3/4.
- Find the longest length: 12 3/4 inches.
- Find the shortest length: 2 1/2 inches.
- Calculate the range: 12 3/4 inches - 2 1/2 inches = 10 1/4 inches.
The range of the lengths is 10 1/4 inches, which corresponds to option D.