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Define error relative error and absolute error give examples of each?
Wiki User
∙ 13y ago
Error is the term for the amount of difference between a value and it's approximation, and is represented by either an upper or lower case epsilon (E or ε)
Eabs, absolute error, is |x-x*| where x* is the approximate of x, and gives a value that shows how far away the approximate is as a numerical value
Erel, relative error, is |x-x*| / |x| and gives a value that shows how far away the approximate is as a decimal percentage i.e. if you times the relative error by 100 you get the percentage error of the approximation.
Wiki User
∙ 13y ago
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What is the absolute error for 56 - 0.70?
55.3
What does your value of relative error mean?
The relative error measurements indicates the quality of a measurement relative to the quantity of the object being measured. To derive the relative error, divide the absolute error by the value of the object being measured.
What is absolute error formula?
Absolute and Relative Error Absolute and relative error are two types of error with which every experimental scientist should be familiar. The differences are important. Absolute Error: Absolute error is the amount of physical error in a measurement, period. Let's say a meter stick is used to measure a given distance. The error is rather hastily made, but it is good to ±1mm. This is the absolute error of the measurement. That is, absolute error = ±1mm (0.001m). In terms common to Error Propagation absolute error = Δx where x is any variable. Relative Error: Relative error gives an indication of how good a measurement is relative to the size of the thing being measured. Let's say that two students measure two objects with a meter stick. One student measures the height of a room and gets a value of 3.215 meters ±1mm (0.001m). Another student measures the height of a small cylinder and measures 0.075 meters ±1mm (0.001m). Clearly, the overall accuracy of the ceiling height is much better than that of the 7.5 cm cylinder. The comparative accuracy of these measurements can be determined by looking at their relative errors. relative error = absolute error value of thing measured or in terms common to Error Propagation relative error = Δx x where x is any variable. Now, in our example, relative errorceiling height = 0.001m 3.125m •100 = 0.0003% relativeerrorcylinder height = 0.001m 0.075m •100 = 0.01% Clearly, the relative error in the ceiling height is considerably smaller than the relative error in the cylinder height even though the amount of absolute error is the same in each case.
What is the value of relative error if the absolute error is -10?
You need to know the measure in order to answer the question.
Why relative error is better then absoulte error in math?
The relative error puts the size of the error into context. An absolute error of 10, in a number whose value is 1 indicates a range of -9 to 11 for the true value. This means that telling you that the value is 1 is near enough pointless. On the other hand, an absolute error of 10 in a number whose value is 1 billion means that the true value is somewhere in the range 999,999,990 and 1,000,000,010. I suggest that the discrepancy is not significant. The relative error in the first case is 1000% and in the second, it is 1 millionth of 1%.
What is the absolute error for 56 - 0.70?
55.3
The height of a plant is 45 cm with an estimated absolute error of 0.9 cm what percent is the relative error?
To get the relative error is the maximum error over the measurement. So the maximum error is the absolute error divided by 2. So the maximum error is 0.45. The relative error is 0.45 over 45 cm.
What is the value of relative error if the absolute error is 10?
The relative error depends on the true value of the measurement. That information has not been provided.
What does your value of relative error mean?
The relative error measurements indicates the quality of a measurement relative to the quantity of the object being measured. To derive the relative error, divide the absolute error by the value of the object being measured.
What is absolute error formula?
Absolute and Relative Error Absolute and relative error are two types of error with which every experimental scientist should be familiar. The differences are important. Absolute Error: Absolute error is the amount of physical error in a measurement, period. Let's say a meter stick is used to measure a given distance. The error is rather hastily made, but it is good to ±1mm. This is the absolute error of the measurement. That is, absolute error = ±1mm (0.001m). In terms common to Error Propagation absolute error = Δx where x is any variable. Relative Error: Relative error gives an indication of how good a measurement is relative to the size of the thing being measured. Let's say that two students measure two objects with a meter stick. One student measures the height of a room and gets a value of 3.215 meters ±1mm (0.001m). Another student measures the height of a small cylinder and measures 0.075 meters ±1mm (0.001m). Clearly, the overall accuracy of the ceiling height is much better than that of the 7.5 cm cylinder. The comparative accuracy of these measurements can be determined by looking at their relative errors. relative error = absolute error value of thing measured or in terms common to Error Propagation relative error = Δx x where x is any variable. Now, in our example, relative errorceiling height = 0.001m 3.125m •100 = 0.0003% relativeerrorcylinder height = 0.001m 0.075m •100 = 0.01% Clearly, the relative error in the ceiling height is considerably smaller than the relative error in the cylinder height even though the amount of absolute error is the same in each case.
What is the value of relative error if the absolute error is -10?
You need to know the measure in order to answer the question.
If the absolute error is 50 and the mean value of measured quantity is 5 what is the relative error?
= absolute error/ mean value of measured quantity times 100 50/5 times 100= 1000%
Why relative error is better then absoulte error in math?
The relative error puts the size of the error into context. An absolute error of 10, in a number whose value is 1 indicates a range of -9 to 11 for the true value. This means that telling you that the value is 1 is near enough pointless. On the other hand, an absolute error of 10 in a number whose value is 1 billion means that the true value is somewhere in the range 999,999,990 and 1,000,000,010. I suggest that the discrepancy is not significant. The relative error in the first case is 1000% and in the second, it is 1 millionth of 1%.
Absolute error and occurrence?
brifly explain about the absolute error?
What is absolute and relative error?
An absolute measurement is based on first principle measurements. Most measurements are comparison. An absolute measurement doesn't rely on calibration of the instrument. For example wavelength measurements can be made without calibration by looking at the number of beats per seconds (Hertz). Absolute error is the magnitude of the difference between the exaxt value of the value measured. It can be expressed as a number, e.g. the molecular weight measured is 27 000 grams per moles while the known molecular weight of the structure is 27 500, the absolute error is 500 grams per mole.
What determines how close a measurement is to the true or accepted value?
This value is variable and different for each type of measurement. The error can be absolute or relative. A measurement without any error doesn't exist.
The ratio of an error to an accepted value is called what?
its a percent error * * * * * No, it is the relative error. When that is multiplied by 100 it becomes a percentage error.
