nomal distribution left-skewed distribution right-skewed distribution skewed distribution

Normal distribution, often depicted as a bell curve, is a fascinating mathematical concept where data points are symmetrically distributed around a mean. This means that most observations fall within a close range of the average, with fewer points appearing as we move away from it. This concept is essential in statistics and is commonly applied in fields such as psychology and quality control, allowing researchers to predict outcomes and analyze variations with remarkable accuracy. In contrast, skewed distributions can be visualized as uneven hills on a graph. A left-skewed distribution, or negatively skewed, has a longer tail on the left side, indicating that a smaller number of low values are pulling the mean downward, while a right-skewed distribution, or positively skewed, features a tail on the right, showcasing that higher values are influencing the average. Understanding these distributions is crucial for correctly interpreting data, as they signal different underlying processes and can affect the conclusions drawn from statistical analyses.