Relative/Absolute error woes

  • Thread starter dwdoyle8854
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In general, larger objects tend to have smaller relative errors because the absolute error is being divided by a larger quantity. However, this may not always be the case and it will depend on the specific situation and measurements being taken.
  • #1
dwdoyle8854
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Homework Statement



"Which will have a larger absolute measurement error, a larger object or a smaller object?"
"Which will have a larger relative measurement error, a larger object or a smaller object?"

Homework Equations



Relative error:
δ(A)/A = δ(B)/B + δ(C)/C

The Attempt at a Solution



Im trying to answer this for my lab report in physics, and I guess I am confused by the question.
Absolute error would be the same regardless of size because its just the amount you measuring tool might be off.
Relative error since it is a ratio correct? Or since relative error is δ(A)/A or absolute error over the measured/accepted quantity, would it be smaller for larger objects?

Confusion abound. Please help.
 
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  • #2
dwdoyle8854 said:
Absolute error would be the same regardless of size because its just the amount you measuring tool might be off.
Possibly, but it would depend on what you are measuring and how you measure it, too.
Relative error since it is a ratio correct? Or since relative error is δ(A)/A or absolute error over the measured/accepted quantity, would it be smaller for larger objects?
Again, it will depend.
 

1. What is the difference between relative and absolute error?

Relative error is the ratio of the absolute error to the true value, while absolute error is the difference between the measured value and the true value.

2. How is relative error calculated?

Relative error is calculated by dividing the absolute error by the true value and multiplying by 100% to get a percentage value.

3. Why is relative error a more useful measure than absolute error?

Relative error allows for comparison between different data sets with different units or scales, while absolute error is dependent on the units of measurement and cannot be compared between different data sets.

4. What is an acceptable range for relative error?

The acceptable range for relative error can vary depending on the application and industry, but generally a relative error of less than 5% is considered good, while a relative error of more than 10% is considered significant.

5. How can relative error be reduced?

Relative error can be reduced by increasing the precision of measurements, using more accurate instruments, and minimizing sources of error in the measurement process.

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