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1 comment:
Chapter 3.2a
Uncertainty in Measurements
Accuracy
Accuracy - how close a measurement is to the actual or true value.
Example: Think of a baseball pitcher throwing a perfect strike. The ball was thrown with accuracy.
Accuracy - think accurate
Precision
Precision - a measure of how close a series of measurements are to one another.
Example: Baseball - think of all the pitches going to the exact same spot.
Precision does not have to be accurate or correct, just repeated.
Accuracy and Precision
Can a measurement be accurate, but not precise?
Can a measurement be precise, but not accurate?
Can a measurement be both precise and accurate?
Can a measurement be neither precise nor accurate?
Accepted and Experimental Value
Accepted value - the correct value based on reliable references.
Example: It is accepted that water boils at 100 degrees Celsius.
Experimental Value - the value measured in the lab
Example: You boil water and find that it boils at 99.3 degrees Celsius.
Error
Error - the difference between accepted value and experimental value.
Error = experimental value - accepted value
So, what is the error of our water boiling example?
Error = 99.3oC - 100oC = -0.7oC error
Percent Error
Percent error - the relative error
Percent error = |error|\accepted value x 100%
What is the percent error of our example?
|-0.7oC|\100oC x 100%
0.7\100 x 100%
0.007 x 100%
0.7% error
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