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Any instrument with which you measure can only have a finite degree of specificity, and you will always have error within that degree of specificity.

For example, using a meter stick that includes centimeters and millimeters, and the human eye a person can measure the length a stick, and by looking at the millimeter marks decide if the length is closer to 3.4 centimeters or 3.3 centimeters. In actuality, the length is something in between, but the person can only report what they see, so if the end of the stick is closer to 3.4 than 3.3, they will say 3.4. In this case, the error is .05 cm (or .5 mm) because you can only detect lengths as being more or less than halfway between two mm marks.

A better ruler might have marks between the mm marks. You could imagine someone with really great vision who could see .1 mm on this special ruler. So they might be able to tell that the stick is closer to 3.43 cm than 3.44 cm, but that's as precise of a decimal as they could report, because the measuring instrument (the ruler) only includes marks for .1 mm (or .01 cm). The maximum error in this case would be .005 cm (or .05 mm) because the person can tell the stick is less than halfway between 3.43 and 3.44, but cannot decipher more than that.

Any measuring instrument, not jut rulers, comes with a finite level of specificity. The maximum error is half of that level of specificity. A scale that reports weight only in whole pounds would have maximum error of .5 lbs, while a scale that reports weight in tenths of a pound would have a maximum error (or uncertainty of measurement) of .05 lbs.

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Q: Why cannot the uncertainty of a measurement be zero?
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How do you calculate uncertainty?

There are several ways to calculate uncertainty. You can round a decimal place to the same place as an uncertainty, put the uncertainty in proper form, or calculate uncertainty from a measurement.


Does a measurement of 23.56mL has more uncertainty than a measurement of 23.5mL?

No, its more certain than 23.5 mL


What is a doubt or uncertainty in measurement?

Basically your uncertainty is the innaccuracy or your measurement. For instance if you had a yard ruler that was marked only in inches and the length of the object you were measuring lied somewhere between 12 and 13 inches; you could state that the objects length is 12 1/2 inches ± 1/2 inch. The ± 1/2 part is your uncertainty, it means the measurement could be either 1/2 inch longer or shorter than your stated measurement.


What is zero correction?

the correction which is made to get correct measurement after zero error


How do you calculate the uncertainty of data?

When involving in scientific experiments, it is very important to make measurement. In each and every measurement we take, say a length, time, angle etc. we have to use a particular instrument. As every instrument has a least count (also known as the minimal reading), there will be an uncertainty left. As an example, consider a measurement using a vernier caliper as at 10.00 cm, there will be an error of 0.01cm. If we do the same measurement by a meter ruler, there'll be an error of 0.1 cm, or 1 mm. Therefore the uncertainty of a particular measurement is dependent on the instrument it has been taken. As a convention we take the 1/2 of the least count for analog instruments and the least count for digital instruments as its uncertainty.

Related questions

What is a zero error in an instrument?

This is actually impossible, even for machines, but a zero error would mean there is no uncertainty in the measurement, as in no possibly plus or minus a unit.


Is every measurement subject to errors?

Yes. There is no system of measurement that is "perfect" in every way. We work hard to reduce error or uncertainty when we measure stuff, but we cannot eliminate it.


How do you calculate uncertainty?

There are several ways to calculate uncertainty. You can round a decimal place to the same place as an uncertainty, put the uncertainty in proper form, or calculate uncertainty from a measurement.


What is the percent uncertainty for the measurement given as 4.19m?

When giving the result of the measurement, its important to state the precision or estimated uncertainty, in the measurement. The percent uncertainty is simply the radio of the uncertainty to the measured value, multiplied by 100. 4.19m take the last decimal unit, is 9 but with value of 1/100 .01 is the uncertainty Now, .01/4.19 x 100 % = 0.24%


What is the uncertainty in the measurement for the speed of light?

The length of a meter.


How does quantum uncertainty differ from the uncertainty involved in a coin flip?

completely: coin is simple probability, quantum uncertainty is based on how increasing accuracy of measurement of one property of a tiny particle reduces the accuracy of measurement of another complementary property of the same particle. No probability there, just measurement limitations.


Does a measurement of 23.56mL has more uncertainty than a measurement of 23.5mL?

No, its more certain than 23.5 mL


What is the uncertainty in measurement when using a stopwatch to measure time?

o.1


Is there is any perfect measurement?

No, no measurement we can ever do will be entirely free of uncertainties. In some measurements the uncertainties might be negligible however. In any best precise & accurate measurement there will be minimum uncertainty equal to h/2pie, that's in accordance to Heisenberg's uncertainty principle.


What is meant by a mas measurement expressed in this form4.6g 0.2 g?

I suppose that you think to 4,6±0,2; 0,2 is the uncertainty of the measurement.


State the causes of uncertainty in measurement?

There are many, but the most important are usually - the person doing the measuring, the mesuring device, the environment where the measurement is being made and variability in the item being measured.


What is the conversion from kilolitres to miles?

There are zero kilolitres in a mile, by the trivial fact that there is no volume in a linear measurement. The conversion from miles to kilolitres cannot be made, as the second uses more dimensions of measurement.