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The length of a straight line is measure...

The length of a straight line is measured a number of times by a number of observers. The following are the results of these measurements. Decide precision and Accuracy.
`"Actual length" = 3.785 CM +- 0.001 cm`
Ist set of measurements 3.8 cm, 3.9 cm, 3.7 cm
2nd set of measurements 3.478 cm, 3.479 cm, 3.478 cm, 3.478 cm, 3.479 cm
3rd set of measurements 3.55 cm, 3.65 cm, 3.45 CM, 3.35 cm
4th set of measurements 3.784 cm, 3.785 cm, 3.784 cm, 3.785 cm, 3.784 cm.

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AI Generated Solution

To determine the precision and accuracy of the given sets of measurements, we will analyze each set in relation to the actual length, which is \(3.785 \, \text{cm} \pm 0.001 \, \text{cm}\). ### Step 1: Analyze the First Set of Measurements - **Measurements:** \(3.8 \, \text{cm}, 3.9 \, \text{cm}, 3.7 \, \text{cm}\) - **Precision:** The measurements are not close to each other (3.8, 3.9, and 3.7 differ by 0.1 cm). Therefore, the precision is low. - **Accuracy:** The closest measurement to the actual value (3.785 cm) is 3.8 cm, which is 0.015 cm away. However, since the other two measurements (3.9 cm and 3.7 cm) are further away, the accuracy is also low. ### Step 2: Analyze the Second Set of Measurements ...
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