To calculate the error value:
\[ \text{Error Value} = \text{Measured Value} - \text{True Value} \]
Where:
Variable error is the difference between a measured value and the true value of the quantity being measured. It is an indication of the accuracy of the measurement and can be positive or negative, depending on whether the measured value is greater or less than the true value. Understanding the error in measurements is crucial for precision in scientific experiments, engineering, and quality control processes.
Example 1:
Assume you measure a length as 12.5 cm, but the true length is 12.0 cm. Using the formula:
\[ \text{Error Value} = 12.5 - 12.0 = 0.5 \text{ cm} \]
The error value is 0.5 cm, indicating that the measured value is 0.5 cm greater than the true value.
Example 2:
Suppose you weigh an object and get 105 grams, while the true weight is 100 grams. Using the formula:
\[ \text{Error Value} = 105 - 100 = 5 \text{ grams} \]
The error value is 5 grams, meaning that the measured weight is 5 grams more than the true weight.