Main Properties of the Normal Probability Curve
15 Main Properties of the Normal Probability Curve The normal probability curve , also known as the Gaussian distribution , is a cornerstone of statistical theory and a fundamental tool in the behavioural and natural sciences. Its mathematical properties and practical applications allow researchers to make inferences about populations from sample data. This document outlines 15 main properties of the normal probability curve and expands upon its key characteristics and applications, supported by academic references. The normal curve is symmetrical: The curve is perfectly symmetrical about the ordinate at the central point. This means the left half is a mirror image of the right half. Consequently, for any value a certain distance from the mean, there is a corresponding value on the opposite side with the same frequency . The normal curve is unimodal: The curve has a single peak, indicating that the maximum frequency of scores occurs at one point along the ...