 |
| Absolute Error and Percentage Relative Error |
|
| From the above examples on approximation, we observe that the approximated value may be more or less than the original number. |
| |
| The difference between these two values is called the absolute error. |
| |
 Absolute Error = Original number - Approximated number |
| |
| The ratio of the absolute error and the original number expressed in percentage form is called percentage relative error. |
| |
 |
| |
| The number of students in a school are 640. Find (i) the absolute error. (ii) percentage relative error when the number is approximated to the nearest hundred. |
| |
 |
| |
| (i) Number of students = 640 |
| |
| Number of students correct to nearest hundred = 600 |
| |
 Absolute Error = [640 - 600] = 40 |
| |
(ii) %Relative Error  |
| |
| = 6.25 % |
| |
| Ans: (i) 40 (ii) 6.25% |
| |
