Histogram Construction and Normal Curve Overlay establishes a formal graphical methodology for assessing distributional symmetry and kurtosis by superimposing a theoretical probability density function upon empirical frequency data intervals. This process relies on the Central Limit Theorem and the definition of the standard normal distribution, utilizing bin width selection rules (such as Sturges' or Scott's rule) to approximate continuous random variables from discrete observations without introducing systematic bias into visual inference. It serves as a foundational diagnostic technique within descriptive statistics for identifying deviations from Gaussianity before applying rigorous parametric testing procedures.
Prerequisite chain context: requires Mann Whitney U Test in Statistics.