Three archers each fire four arrows at a target. Joes four

Chapter 1, Problem Q1.9

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QUESTION:

Three archers each fire four arrows at a target. Joes four arrows hit at points 10 cm above, 10 cm below, 10 cm to the left, and 10 cm to the right of the center of the target. All four of Moes arrows hit within 1 cm of a point 20 cm from the center, and Flos four arrows hit within 1 cm of the center. The contest judge says that one of the archers is precise but not accurate, another archer is accurate but not precise, and the third archer is both accurate and precise. Which description applies to which archer? Explain

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QUESTION:

Three archers each fire four arrows at a target. Joes four arrows hit at points 10 cm above, 10 cm below, 10 cm to the left, and 10 cm to the right of the center of the target. All four of Moes arrows hit within 1 cm of a point 20 cm from the center, and Flos four arrows hit within 1 cm of the center. The contest judge says that one of the archers is precise but not accurate, another archer is accurate but not precise, and the third archer is both accurate and precise. Which description applies to which archer? Explain

ANSWER:

Step 1 of 3

The arrows hit by Joes are  to above,  to the below,  to the left and  to the right of center. Therefore, all the arrows have a common center at  in all four directions.

Hence, the arrows hit by Joes are accurate but they are not precise.

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