# Percentage Discrepancy **Percentage discrepancy** measures the difference between two values relative to a reference, expressed as a percentage. ## Definition Given two values, \( A \) and \( B \), the percentage discrepancy can be calculated as: \[ \text{Percentage Discrepancy} = \left( \frac{|A - B|}{\text{Reference}} \right) \times 100\% \] - \( |A - B| \): Absolute difference between the two values. - **Reference**: The value used as the basis for comparison, often the true or accepted value. ## Common Usage - To compare an observed value to a theoretical or accepted value. - To quantify the deviation between experimental results and expected results. ## Example If the true value is 100 and the measured value is 95: \[ \text{Percentage Discrepancy} = \left( \frac{|100 - 95|}{100} \right) \times 100\% = 5\% \] This indicates a 5% discrepancy between the two values.