3. Three students make measurements (in m) of the length of a rod using a meter stick. Each student's measurements are tabulated in the table below. Using your calculator in statistic mode calculate the mean L, standard deviation S and uncertainty u of the measurements. Student L₁ Student 1 1.4717 Student 2 1.4753 Student 3 1.4719 L₂ 1.4711 1.4759 1.4723 L3 1.4722 1.4756 1.4705 L4 1.4715 1.4749 1.4719 ī 1.4716 1.4754 11.4716 SD 0.000397 ±0.000.397 0.000370 ± 0.000370 10.000685 £0.000685 u Note that the actual length of the rod is determined by a laser measurement technique to be 1.4715 m (this should be considered the standard value). a) State how one determines the accuracy of a measurement. Apply your idea to the measurements of the three students above and state which student has the most accurate measurement.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Hello, based on the table can you please help me do a, b and c?
3. Three students make measurements (in m) of the length of a rod using a meter stick. Each
student's measurements are tabulated in the table below. Using your calculator in statistic
mode calculate the mean L, standard deviation S and uncertainty u of the measurements.
Student L₁
Student 1
1.4717
Student 2
1.4753
Student 3 1.4719
L₂
1.4711
1.4759
1.4723
L3
1.4722
1.4756
1.4705
L4
1.4715
1.4749
1.4719
ī
1.4716
1.4754
11.4716
SD
0.000397 ±0.000.397
10.000 370 ± 0.000370
10.000685 ± 0.000685
u
Note that the actual length of the rod is determined by a laser measurement technique to be
1.4715 m (this should be considered the standard value).
a) State how one determines the accuracy of a measurement. Apply your idea to the
measurements of the three students above and state which student has the most
accurate measurement.
Transcribed Image Text:3. Three students make measurements (in m) of the length of a rod using a meter stick. Each student's measurements are tabulated in the table below. Using your calculator in statistic mode calculate the mean L, standard deviation S and uncertainty u of the measurements. Student L₁ Student 1 1.4717 Student 2 1.4753 Student 3 1.4719 L₂ 1.4711 1.4759 1.4723 L3 1.4722 1.4756 1.4705 L4 1.4715 1.4749 1.4719 ī 1.4716 1.4754 11.4716 SD 0.000397 ±0.000.397 10.000 370 ± 0.000370 10.000685 ± 0.000685 u Note that the actual length of the rod is determined by a laser measurement technique to be 1.4715 m (this should be considered the standard value). a) State how one determines the accuracy of a measurement. Apply your idea to the measurements of the three students above and state which student has the most accurate measurement.
b) Do any of the three students have data that suggest the possibility of an error? If so,
state which student it is, and state how the data indicate your conclusion.
c) Which student has the best measurement considering both accuracy and precision?
State clearly what the characteristics are of the student's data on which your answer is
based.
Transcribed Image Text:b) Do any of the three students have data that suggest the possibility of an error? If so, state which student it is, and state how the data indicate your conclusion. c) Which student has the best measurement considering both accuracy and precision? State clearly what the characteristics are of the student's data on which your answer is based.
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