Error Analysis and Propagation In experimental physics, no measurement is perfectly accurate. Error analysis is the systematic study of uncertainties to quantify the reliability of experimental data. Understanding how these errors propagate through calculations is essential for reporting valid scientific results. [INSERT DIAGRAM OF ACCURACY VS PRECISION] 1. Representation of Errors If a physical quantity is measured as \(x\) with an uncertainty \(\Delta x\), we define the following types of error: Absolute Error: The magnitude of the uncertainty, denoted as \(\Delta x\). Relative Error: The ratio of absolute error to the measured value, \(\frac{\Delta x}{x}\). Percentage Error: \(\frac{\Delta x}{x} \times 100\%\). 2. Propagation of Errors When calculating a result derived from multiple measured quantities, errors accumulate according to algebraic rules. A. Sum and Difference For \( Z = A + B \) or...