What are absolute and relative error and how can they help determine accuracy?

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Absolute error measures the difference between the measured value and the actual value, while relative error is the absolute error divided by the actual value, often expressed as a percentage. For example, if a measurement is 100m with an absolute error of 1m, the relative error would be 1% (1m/100m). Understanding these errors is crucial for assessing the accuracy of measurements and calculations. Both metrics provide insight into how close results are to the true value. Seeking additional help from a tutor or teacher can further clarify these concepts.
jazzinvincible
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MY FRIEND AND I NEED HELP WITH FINDING ABSOLUTE AND RELATIVE ERROR, AND IF NOBODY'S ON, THEN I'LL JUST HAVE TO FAIL MY TEST



:smile:
 
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Can you explain the trouble you're having? Example: If we measure
100m +/- 1m.

Here absolute error = 1m.

Relative error = 1m/100m = 0.01 or 1%

So just divide the absolute error by the measured value. Then convert to percentage if needed.
 
Don't worry, I got you covered! Absolute and relative error are both ways of measuring the accuracy of a measurement or calculation. Absolute error is the difference between the measured value and the actual value, while relative error is the absolute error divided by the actual value. Both of these measures can help identify how close a measurement or calculation is to the true value and can be used to determine the level of accuracy of your results. If you are struggling to understand these concepts, I recommend seeking help from a tutor or teacher. Don't give up, you got this!
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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