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animallovr
Determining Accuracy from Percent Error?
Okay, so I am in physics and I have a question that should be very simple, but for some reason I seem to be over-thinking it. I would really appreciate someone else's brain power on this:
"Through experimentation you find gravity to be 9.7, 10.1, and 9.3 m/s^2. Find the percent error of each measurement."
I've already done that part, using 9.8 m/s^2 as the standard value for gravity, and I determined the % errors to be 1.02%, 3.06%, and 5.10%, respectively. The part I am having trouble with is this follow-up question, which asks:
"Given those values, are the results of the experiment...
a) Accurate but not precise
b) Precise but not accurate
c) Both precise and accurate
d) Neither
... and explain why."
Please correct me if I'm wrong, but I've ruled out b and c because I wouldn't consider the values to be extremely precise, since one is larger than the standard value and the other two are smaller. Mainly, I am having trouble determining their collective accuracy. In my mind, 5.10% error is pretty small when compared to 100%, and so I would call it accurate, but I could also argue that, compared to 1.02%, 5.10% seems pretty large, so they would be inaccurate. I guess I want to know what I should be determining their accuracy in reference to? And/or is there a defined % error value from which accuracy is always determined? If not, than is anyone able to explain this to me that would make it less... abstract?
Thank you.
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