S117LabLectureErrorPropagationandT-test_001

S117LabLectureErrorPropagationandT-test_001 - Data...

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Data Measurement How do we record data? What is the best value to report? What is uncertainty (precision) ?
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Precision, Accuracy, Error Precision: reproducibility Accuracy: trueness Error: standard deviation (uncertainty)
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Accuracy vs. Precision Precise Not Accurate Better Accuracy Not Precise Precise Accurate
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Types of Error 1 Systematic: Accuracy Trial Mass (g) 11 0 . 2 2 21 0 . 2 3 31 0 . 1 9 41 0 . 1 7 51 0 . 2 2 Mass of Water 9.90 10.00 10.10 10.20 10.30 12345 Trial
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Types of Error 2 Random: Reproducibility / precision Trial Mass (g) 1 10.02 2 10.03 39 . 9 9 49 . 9 7 5 Mass of Water 9.80 9.90 10.00 10.10 10.20 12345
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Reporting Data Average:   n x x x x n 2 1 Standard deviation:      1 - n x - x x - x x - x 2 n 2 2 2 1
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Examples of Precision/Standard Deviation 100 150 200 ± 50 140 150 160 ± 10 149 150. 151 ± 1 149.5 150.0 150.5 ± 0.5 149.9 150.0 150.1 ± 0.1 and so on… Average: “150” Standard deviation: reflects measuring device
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Reporting Data Example   3 99 . 9 03 . 0 1 00 . 0 1 V mL Trial # Volume (mL) 1 10.00 29 . 9 9 3 10.03 mL 10.01 V mL 006666 . 10
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Example continued 
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This note was uploaded on 01/17/2012 for the course S 117 taught by Professor Stephenjacobson during the Fall '11 term at Indiana.

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S117LabLectureErrorPropagationandT-test_001 - Data...

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