Lecture+3 - Analytical tools and data analysis Significant...

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Analytical tools and data analysis Significant figures Systematic error or determinate error Random error or indeterminate error Precision and accuracy Propagation of uncertainty Gaussian distribution
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The needle in the figure appears to be at an absorbance value of 0.234. We say that this number has three significant figures because the numbers 2 and 3 are completely certain and the number 4 is an estimate. The value might be read 0.233 or 0.235 by other people. The percent transmittance is near 58.3. A reasonable estimate of uncertainty might be 58.3 ± 0.2. There are three significant figures in the number 58.3.
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A logarithm is composed of a characteristic and a mantissa. The characteristic is the integer part and the mantissa is the decimal part: The number 339 can be written 3.39 × 10 2 . The number of digits in the mantissa of log 339 should equal the number of significant figures in 339 . Multiplication Multiplication
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Every measurement has some uncertainty, which is called experimental error .
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This note was uploaded on 02/14/2011 for the course SCIENCE 321 taught by Professor Aaa during the Spring '11 term at Windsor.

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Lecture+3 - Analytical tools and data analysis Significant...

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