Percentage uncertainty and percentage error

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To calculate the percentage error for the average diameter from the recorded values, the standard approach involves determining the deviation from the mean, but without an accepted value, this becomes complex. The discussion highlights confusion around applying the percentage uncertainty formula, particularly for the measurement of 'y' in the given context. A suggested method for finding percentage uncertainty involves calculating the range of values and dividing by two, but this approach was deemed incorrect by the participants. The importance of expressing uncertainties as percentages rather than absolute values is emphasized, illustrating how to convert absolute uncertainty into a percentage. Clarification on these calculations is sought to ensure accurate results in both scenarios.
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You record the following data Diameter/mm: 11.67, 12.67, 13.9, 12.67, 12.67, 12.66 You take the average of these values to be the diameter, but what is the percentage error in this value?

I tried working this problem out but I can't use the normal formula as it is spread over many values and there is no accepted value. I got some numbers; 17.55%, 1.5% but theyr all wrong.


W = T(x+y)/x

Where W is the weight of the stand and T is the Newton meter reading.

You measure and record the values of x, y (with a ruler) and T. The following data is recorded:

x = 12.8 cm , y = 30.2 cm, T= 2.2 N

What is the percentage uncertainty in y?

This one wants the percentage uncertainty which I'm unsure of how to find. I did try 30.25(max value) - 30.15(lowest value) / 2 = 0.05 and find it as a percentage but it turned out to be wrong...



Any help with these problems would be much appreciated.
 
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Percentage Uncertainty

Uncertainties may be quoted as a percentage rather than absolute values. An uncertainty of 124 (+ or -) 1 means 1 in 124 ie.

Percentage Uncertainty = \frac{1}{124}\times100 = 0,08
 
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