Why a normal approximation of data would be helpful to view the data?

A normal approximation of data is helpful because it simplifies the analysis and interpretation of complex datasets by allowing the use of well-established statistical methods based on the normal distribution. This approximation can highlight underlying patterns and facilitate hypothesis testing, confidence interval estimation, and predictive modeling. Additionally, many natural phenomena tend to follow a normal distribution due to the Central Limit Theorem, making this approach applicable in various fields, including psychology, finance, and quality control. Overall, it provides a clearer understanding of variability and central tendencies within the data.