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That depends a lot on the application. In some cases, a 10% error (or even more) may be acceptable, in other, 1%, in others, you need a much higher precision.

Generally, a %Error of approximately 5% is regarded as accurate. However, this is only a guideline for small experiments or data sets. Also, one should ensure that the relative standard deviation is less than 5% also. This ensures that the data set is precise.

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Q: How high does percent error have to be considered accurate?
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Can percent error be negative?

Sometimes you will take the absolute value of the percent error because your estimated number could be less than the theoretical, meaning the calculation is negative. But an absolute value is always positive. A percent error can be left as a negative though, and this would be perfectly acceptable (or even preferred) depending on what you're doing.Answer:In the sciences, a negative percent error indicates a low result. If you have a 0% error, then your observed (lab) result was exactly the same as the theoretical result. A 5% error could mean that your observed result was a little high. A negative percent error is possible; if your observed results were lower than the expected, then you would have a negative percent error. A -5% error could mean that your results were a little low. Having a negative percent error isn't worse than positive percent error -- it could mean the same thing. If you were to have a choice in having a 20% error and a -5% error, the negative percent error is more accurate.


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