How Do You Calculate the Average Error in Measurements?

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To calculate the average error in measurements, first determine the average of the measured values. For the example provided, the average landing distance is calculated as 6.71 cm. The error is derived from the individual measurement errors, which can be combined; however, the method of combining them depends on whether you are summing or averaging. If adding the individual errors, the total error would be 0.2 cm, while averaging the error would yield 0.05 cm. The discussion highlights the importance of understanding how to propagate uncertainty in measurements accurately.
lauralovesyou
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Hi,

I was just wondering how you calculate the average error, is there a certain formula?

Ex:

Three landing distances were measured and they were

6.93 cm +/- 0.05cm
6.56 cm +/- 0.05cm
6.65 cm +/- 0.05cm

To calculate error, do you add the landing distances then divide them by three and then add the errors for each one, therefore the average would be 6.71cm +/- 0.2cm (actual is 0.15cm however error is always in one significant figure) or do you divide the averages by three also, therefore get 6.71cm +/- 0.05cm?
 
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