The normal distribution, also known as the Gaussian distribution, is characterised by its bell-shaped curve and relevance towards applied mathematics. It is important because, by the Central Limit Theorem, the sum or average of a large number of independent, identically distributed random variables with finite mean and variance is approximately normally distributed.
The normal distribution is often referred to as the "bell curve" due to its characteristic shape.
The normal distribution curve is shown as a smooth, symmetrical bell-shaped curve. The highest point of the curve corresponds to the mean (μ), which is also the median and mode of the distribution. The spread of the curve is determined by the standard deviation (σ).
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