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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.

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.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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 a, b and c in the pictures, can you help me solve just d and e please?
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 11.4754 11.4716 SD 0.000397 u ± 0.000397 0.000 370 ± 0.000370 10.000685 ± 0.000685 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. 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. Using the calculator in statistic mode calculate the mean L, standard deviations and uncertainty in of the measurements.
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 11.4754 11.4716 SD 0.000397 u ± 0.000397 0.000 370 ± 0.000370 10.000685 ± 0.000685 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. 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. Using the calculator in statistic mode calculate the mean L, standard deviations and uncertainty in of the measurements.
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. One determine the accuracy of a measurement by comparing practical value with standard volue, and calculate relative error. theritor student I has close value near standard value and least uncertainty so student has most accurate measurement. there is a systematic error in the measurement when the measurement are close to jach other. the standard value is 1.4715 and student a has a largest value 1.4754, so student a data shows systematic error. 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. accuracy is calculated as student 1: Precision is calculated: student 1: 1.4722-1.4711 1.4716 x 100 =0.07 student 2: 1.4759-1.4749x 100 = 0·07 1.4754 student 3: 1.4723-1.4705x100 = 0.12 1.4716 student 2: student 2 11.4715-1/14716 +100/1.41715-14754X100 1.4715-1.47161 x 100 most 1.4715 1-4716 1.4716 accurate and 0.007 precision. = 0.007 d) Calculate the percentage error between average length obtained by student I and the standard value using formula (1). -0.26 So, student data has ndard value e) Calculate the percentage difference for average lengths obtained by students 1 and 3 using formula (2).
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. One determine the accuracy of a measurement by comparing practical value with standard volue, and calculate relative error. theritor student I has close value near standard value and least uncertainty so student has most accurate measurement. there is a systematic error in the measurement when the measurement are close to jach other. the standard value is 1.4715 and student a has a largest value 1.4754, so student a data shows systematic error. 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. accuracy is calculated as student 1: Precision is calculated: student 1: 1.4722-1.4711 1.4716 x 100 =0.07 student 2: 1.4759-1.4749x 100 = 0·07 1.4754 student 3: 1.4723-1.4705x100 = 0.12 1.4716 student 2: student 2 11.4715-1/14716 +100/1.41715-14754X100 1.4715-1.47161 x 100 most 1.4715 1-4716 1.4716 accurate and 0.007 precision. = 0.007 d) Calculate the percentage error between average length obtained by student I and the standard value using formula (1). -0.26 So, student data has ndard value e) Calculate the percentage difference for average lengths obtained by students 1 and 3 using formula (2).
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