Does Low Resolution Compromise Measurement Accuracy?

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Resolution is defined as the smallest change measurable by an instrument, while accuracy refers to how closely a measured value aligns with its true value. The discussion highlights that low resolution can impact the accuracy of reported measurements, as seen in the example of a beaker with 0.1ml increments. It is suggested that resolution affects both accuracy and precision, particularly when human error is involved in reading measurements. However, in the absence of systematic errors, resolution may primarily influence precision. Overall, the relationship between resolution and accuracy is complex and context-dependent.
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Resolution is the smallest change that can be measured by an instrument.

Accuracy is the closeness of a measured value its 'true' value.

Precision is essentially related to repeatability when you try to do the same measurement a few times.

Forget precision for now. We know the terms resolution and accuracy mean different things and have different definitions. But that is not to say they are not related/coupled where one influences the quality of the other?

Is it true to say a low resolution instrument affects the accuracy with which you report a value. Say a beaker has increments of 0.1ml and you read off 2.3ml to your best of your ability, but while only God truly knows its really 2.2641ml exact. It is ultimately the resolution affecting the accuracy of the value being reported? So when someone reports 2.3ml it is inaccurate.

So essentially, is it true to say resolution of measurement almost always affect accuracy?
 
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It depends on the type of error- if there is a human reading off values, then there may be some systematic error involved, which would affect accuracy. On the other hand, if there are no systematic errors, then I would think that resolution only has an impact on the precision.
 
I believe it affects both accuracy and precision.

Just for info... many years ago I was told that humans are quite good at estimating the correct value and can typically do so to within 1/10th of the scale provided. eg So in your example even though 0.1ml is the smallest scale on the beaker it might be possible to estimate the contents to about 0.01ml, although I suspect there are many qualifications that apply to this rule.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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