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Percentage error shows how wrong an answer can be with respect to the value of the answer itself. So, we can see how serious the errors are. For example, lets say we have an answer whose mean error is 40. If nothing is given of the actual value of the answer, we cannot determine if this error is insignificant or very serious. If the actual answer was 40000, this mean error of 40 is quite insignificant as the percentage error is 40/40000 x 100 = 0.1 %

0.1 % error is quite insignificant. Mean error, on the other hand, does not help us to determine the significance of this error in any way.

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Q: Why do you use average percentage error and why is it better than mean error?
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What is mean absolute percentage error?

The mean absolute percent prediction error (MAPE), .The summation ignores observations where yt = 0.


What does relative error percentage mean?

Relative error percentage is a decimal percentage between 1 and 0 such that if you multiply the actual answer by (1-errorrel) you get your approximate value. In other words relative error is an indicator of how far away your apporximation is from the real value in terms of percent of the real value.


Define equipment error and explain how to reduce it?

the equipment error is the percentage of uncertainty on the equipment, so for example, a measuring cylinder has the percentage error of around 0.5cm3. The only way I know off to reduce error percentage is to well increase sample size/ volume A etc. as the calculation is something like (equipment error / quantity measured x 100) this would mean that having a higher quantity to measure will therefore decrease percentage error. hope it helps.


What average is better mean or range?

The mean


What does it mean to have a high percentage error?

It means that, relative to the true value of whatever you are trying to measure, the estimated (or calculated) value is quite a long way off.If the real value of something is 5 but is measure as 7 the absolute error is 7 - 5 = 2, but the percentage error is 100*2/5 = 40%If the true value is 100 and it is measured as 103, the absolute error is 103 - 100 = 3 which is greater than before. But the percentage error is only 100*3/100 = 3%.

Related questions

With the mean absolute percentage error is a higher or lower number better?

The lower the better


What is mean absolute percentage error?

The mean absolute percent prediction error (MAPE), .The summation ignores observations where yt = 0.


What values can Mean Absolute Percentage Error take?

0 to Infinity


What does relative error percentage mean?

Relative error percentage is a decimal percentage between 1 and 0 such that if you multiply the actual answer by (1-errorrel) you get your approximate value. In other words relative error is an indicator of how far away your apporximation is from the real value in terms of percent of the real value.


What is a absolute error?

The difference between the corrected reading and the mean (average) reading is called 'Absolute error.


Define equipment error and explain how to reduce it?

the equipment error is the percentage of uncertainty on the equipment, so for example, a measuring cylinder has the percentage error of around 0.5cm3. The only way I know off to reduce error percentage is to well increase sample size/ volume A etc. as the calculation is something like (equipment error / quantity measured x 100) this would mean that having a higher quantity to measure will therefore decrease percentage error. hope it helps.


What average is better mean or range?

The mean


Is a higher or lower root mean squared error better?

A lower.


What is the definition of MEAN ABSOLUTE PERCENTAGE ERROR?

"MAPE is commonly used in quantitative forecasting methods because it produces a measure of relative overall fit. The absolute values of all the percentage errors are summed up and the average is computed." (according to John Galt University)


What shows you how accurate to the true value an experimental value is?

The error, which can be measured in a number of different ways. Error, percentage error, mean absolute deviation, standardised error, standard deviation, variance are some measures that can be used.


What is meant by mean percentage?

It is the arithmetic average of a number of percentages.


What does it mean to have a high percentage error?

It means that, relative to the true value of whatever you are trying to measure, the estimated (or calculated) value is quite a long way off.If the real value of something is 5 but is measure as 7 the absolute error is 7 - 5 = 2, but the percentage error is 100*2/5 = 40%If the true value is 100 and it is measured as 103, the absolute error is 103 - 100 = 3 which is greater than before. But the percentage error is only 100*3/100 = 3%.