gen-in-3-4-sentences-explain-the-normal-distribution-state-any-k-0b6c

In 3-4 sentences, explain the normal distribution. State any key formula.

The normal distribution is a bell-shaped, symmetric probability distribution that describes how data clusters around a mean value, with most observations near the center and fewer at the extremes. It is completely characterized by two parameters: the mean (μ) and standard deviation (σ). The probability density function is: **f(x) = (1/(σ√(2π))) × e^(-(x-μ)²/(2σ²))** This distribution is fundamental in statistics because many natural phenomena follow it, and the Central Limit Theorem shows that sample means tend toward normality regardless of the underlying population distribution.