How can comparing the percentage difference of a value to the percentage uncertainty of a value allow

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How can comparing the percentage difference of a value to the percentage uncertainty of a value allow you to judge the value's accuracy?

For example in an experiment to determine the value of g, I get a value of 10 ms^-2.

The percentage uncertainty of this is 7%

The percentage difference of this to the accepted value of 9.81ms-2 is 2%.

The question asks to compare the 7% value of % uncertainty to the 2% value of % difference to judge the accuracy of this value.

Should percentage uncertainty be higher than the percentage difference for a value to be accurate?

Related Book For answer-question

College Physics

ISBN: 978-0321601834

7th edition

Authors: Jerry D. Wilson, Anthony J. Buffa, Bo Lou

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Posted Date: Mar 12, 2024 03:56 AM

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How can comparing the percentage difference of a value to the percentage uncertainty of a value allow

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College Physics

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