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Lesson 2-2

Accuracy, Precision and Uncertainty in Measurement


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      There is no such thing as a perfect measurement. Each measurement contains a degree of uncertainty due to the limits of instruments and the people using them. In laboratory exercises, students are expected to follow the same procedure that scientists follow when they make measurements. Each measurement should be reported with some digits that are certain plus one digit with a value that has been estimated.
     For example, if a student is reading the level of water in a graduated cylinder that has lines to mark each milliliter of water, then he or she should report the volume of the water to the tenth place (i.e. 18.5 ml.) This would show that the 18 mls are certain and the student estimated the final digit because the water level was about half way between the 18 and 19 mark.

Two concepts that have to do with measurements are accuracy and precision. 

     The accuracy of the measurement refers to how close the measured value is to the true or accepted value.  For example, if you used a balance to find the mass of a known standard 100.00 g mass, and you got a reading of 78.55 g, your measurement would not be very accurate.  One important distinction between accuracy and precision is that accuracy can be determined by only one measurement, while precision can only be determined with multiple measurements.

     Precision refers to how close together a group of measurements actually are to each other.  Precision has nothing to do with the true or accepted value of a measurement, so it is quite possible to be very precise and totally inaccurate.  In many cases, when precision is high and accuracy is low, the fault can lie with the instrument.  If a balance or a thermometer is not working correctly, they might consistently give inaccurate answers, resulting in high precision and low accuracy.

     A dartboard analogy is often used to help students understand the difference between accuracy and precision.  Imagine a person throwing darts, trying to hit the bull's-eye.  The closer the dart hits to the bull's-eye, the more accurate his or her tosses are.  If the person misses the dartboard with every throw, but all of their shots land close together, they can still be very precise.

     You must strive for both accuracy and precision in all of your laboratory activities this year.  Make sure that you understand the workings of each instrument, take each measurement carefully, and recheck to make sure that you have precision.  Without accurate and precise measurement your calculations, even if done correctly, are quite useless.

Now, be sure to check out the worksheets and the online quizzes!


Accuracy, Precision and Uncertainty in Measurement Quizzes

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Quiz 2-2a  Multiple choice quiz by Brian Jennings (class of 2003)

Please forward all questions, comments and criticisms to Gregory L. Curran.
© Copyright 2004 Fordham Preparatory School, All Rights Reserved.
Last Modified February 07, 2008