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Wikijunior:The Book of Estimation/Accumulated error

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Wikijunior:The Book of Estimation
Maximum absolute error Accumulated error Relative error
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After going through the absolute error and the maximum absolute error, we face yet another type of error: accumulated error.

Accumulated error in computationEdit

Accumulated error in measurementEdit

Accumulated error is the maximum absolute error of a measurement which is obtained by using a formula which utilises approximate measurements. Take a look at this example for instance.

Example 1
Question The length of a side of a square is 10cm long. Find the accumulated error of the area of the square.
Solution  
 
 

 
 
 

 
 
 

 
 
 

 
 
 

 
 
 

 
 


As you can see from above, in order to find the accumulated error, you should find the differences between the maximum and minimum value and the measured value. The accumulated error is the larger of the two.


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