Isaiah.Feynman
  • Isaiah.Feynman
When someone says for example "We measured it to within 3%" Does this mean 3% is the percentage error?
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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Astrophysics
  • Astrophysics
Depends...most of the time they would clarify whether or not it's error or what ever you're measuring. Is there more to this?
Astrophysics
  • Astrophysics
A lot of the times it's the error
UnkleRhaukus
  • UnkleRhaukus
Often we perform measurements of quantities that we do not know the exact value of. Measurement techniques are not infinitely precise. If a measurement determines the value a quantity to to be 100±3, then the relative percentage error in the measurement is 3%. This mean that the true value is determined to be somewhere between 97 and 103. The true value could be 100, in which case the percentage error is actually 0%. But the true value could also be 103. In which case the actual percentage error is 3%. From the measurement, the percentage error of the measured value can only be know to be less than or equal to 3%.

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Isaiah.Feynman
  • Isaiah.Feynman
No more. I listen to scientists talk. I hear them say for example we measured it to within 2%. I wonder if this "2%" just means percentage error. For example if the true mass of something is 5g and I measured it to be 4.7g, after calculating the percentage error which is 6%, can I say that I measured the mass to within 6%?
Astrophysics
  • Astrophysics
Ah gotcha, so yes in physics we say that it's \[\pm 0.03\] within the error, or percent, but percentage is often used in chem rather than physics hehe
Astrophysics
  • Astrophysics
Or put 3% depending on the measurement haha
Astrophysics
  • Astrophysics
As someone who's done quite a bit of error measurements/ calculations yup they mean \[\pm 3 \%\]

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