QUESTION IMAGE
Question
the accepted value is 29.35. which correctly describes this student’s experimental data?
trial | measurement
1 | 29.48
2 | 28.97
3 | 29.27
To determine the description of the student's experimental data, we analyze precision (closeness of measurements to each other) and accuracy (closeness to accepted value, 29.35).
Step 1: Calculate differences from accepted value
- Trial 1: \( |29.48 - 29.35| = 0.13 \)
- Trial 2: \( |28.97 - 29.35| = 0.38 \)
- Trial 3: \( |29.27 - 29.35| = 0.08 \)
Step 2: Analyze precision
The measurements (29.48, 28.97, 29.27) have a range of \( 29.48 - 28.97 = 0.51 \), so they are not very precise (spread out).
Step 3: Analyze accuracy
Trial 3 (29.27) is close to 29.35 (difference = 0.08), but Trial 2 (28.97) is far off (difference = 0.38). Thus, the data is not precise (measurements vary) and not highly accurate (one trial is far from accepted value).
(Note: If options were provided, we would select the one matching this analysis. For example, if options included "The data is not precise and not accurate" or similar, that would be the answer.)
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To determine the description of the student's experimental data, we analyze precision (closeness of measurements to each other) and accuracy (closeness to accepted value, 29.35).
Step 1: Calculate differences from accepted value
- Trial 1: \( |29.48 - 29.35| = 0.13 \)
- Trial 2: \( |28.97 - 29.35| = 0.38 \)
- Trial 3: \( |29.27 - 29.35| = 0.08 \)
Step 2: Analyze precision
The measurements (29.48, 28.97, 29.27) have a range of \( 29.48 - 28.97 = 0.51 \), so they are not very precise (spread out).
Step 3: Analyze accuracy
Trial 3 (29.27) is close to 29.35 (difference = 0.08), but Trial 2 (28.97) is far off (difference = 0.38). Thus, the data is not precise (measurements vary) and not highly accurate (one trial is far from accepted value).
(Note: If options were provided, we would select the one matching this analysis. For example, if options included "The data is not precise and not accurate" or similar, that would be the answer.)