Observational error, identical measurement results

In summary, observational error, also known as measurement error, is the difference between the measured value and the true value of a quantity. It is often caused by limitations in the measuring equipment or techniques, as well as human error. It differs from random error, which is unpredictable and can occur in any direction. While it cannot be completely eliminated, it can be reduced through careful calibration and multiple measurements. Observational error can impact scientific research by introducing uncertainties and inaccuracies into the data, potentially hindering progress. Identical measurement results are not always accurate, as they may be affected by observational error and not reflect the true value.
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Homework Statement


hello, I have ten results of measurements, all are identical, and how i can count error? it is this: [tex]L = ( 20 \pm 0,1 ) cm[/tex] and all errors, mean squared error etc are 0, how can I count this now?
 
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up,,
 
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If the measurements came up all equal, then you could use whatever is the accuracy of your ruler. I've known people to use anywhere between 1/10 of a scale divisions to a full scale division, and metric rulers often use 1mm for the scale divisions.
 

1. What is observational error?

Observational error, also known as measurement error, is the difference between the measured value and the true value of a quantity. It is often caused by limitations in the measuring equipment or techniques, as well as human error.

2. How is observational error different from random error?

Observational error is different from random error in that it is a systematic error that consistently affects the measurement in the same way. Random error, on the other hand, is unpredictable and can occur in any direction, resulting in a spread of measurements around the true value.

3. Can observational error be eliminated?

While it is not possible to completely eliminate observational error, it can be reduced through careful calibration of equipment, use of precise measurement techniques, and multiple measurements to account for any inconsistencies.

4. How does observational error impact scientific research?

Observational error can impact scientific research by introducing uncertainties and inaccuracies into the data, leading to incorrect conclusions and potentially hindering the progress of research. It is important for scientists to account for and minimize observational error in their experiments and studies.

5. Are identical measurement results always accurate?

No, identical measurement results are not always accurate. While it is a good sign of precision, it does not guarantee accuracy. If the measurements are affected by observational error, they may be consistently inaccurate and result in identical measurements that are not reflective of the true value.

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