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When measuring height to the nearest half inch, what are the real limits for a score of 68 inches?

A. 67.75 to 68.25 inches
B. 68 to 68.5 inches
C. 67.5 to 68.0 inches
D. 67.0 to 68.0 inches

Answer :

Final answer:

When measuring height to the nearest half inch, the real limits for a score of 68 inches are 67.75 to 68.25 inches.

Explanation:

The real limits when measuring height to the nearest half inch for a score of 68 inches are those measurements that would round to 68 inches. To find these limits, we consider that if the height is exactly halfway between two measurements, we would round to the nearest even number. Therefore, the lower limit is the smallest height that would round up to 68 inches, and the upper limit is the smallest height that would round down to 68.5 inches.

In this scenario, if we have a height of 67.75 inches, we would round up to 68 inches, thus 67.75 inches is the lower limit. Similarly, if we have the height of 68.25 inches we would round down to 68 inches, thus 68.25 inches is the upper limit.

Therefore, the real limits for a score of 68 inches are 67.75 to 68.25 inches (option a).

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