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Accuracy and Precision
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Accuracy Accuracy – how closely a measurement agrees with an accepted value. For example: The accepted density of zinc is 7.14 g/cm3 Student A measures the density as 5.19 g/cm3 Student B measures the density as 7.01 g/cm3 Student C measures the density as 8.85 g/cm3 Which student is most accurate?
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Error Error = experimental value – accepted value
All measurements have some error. Scientists attempt to reduce error by taking the same measurement many times. Example: The accepted value for the specific heat of water is J/gºC. Mark measures the specific heat of water as J/gºC. What is Mark’s error? Error = exp.value – acc.value Error = J/gºC – J/gºC Error = J/gºC
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Percent Error │error │ %Error = x 100% acc.value
Example: The accepted value for the molar mass of methane is g/mol. Jenny measures the molar mass as g/mol. What is Jenny’s percent error?
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Precision Precision – describes the closeness of a set of measurements taking under the same conditions. Good precision does not mean that measurements are accurate.
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Accuracy and Precision
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Example Problem Working in the laboratory, a student finds the density of a piece of pure aluminum to be 2.85 g/cm3. The accepted value for the density of aluminum is g/cm3. What is the student's percent error?
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