This integral could be evaluated by numerical methods and tabulated. The normal (Gaussian) density distribution of a variable with population mean \(\small $$ A brief history of this distribution is given a later section of this article. It is widely known as "Normal distribution". This distribution was named "Gaussian distribution". Prominant among them was Gauss, who derived the theoretical probability distribution for this bell shaped curve. ![]() During 18th and 19th centuries, many mathematicians in Europe provided the mathematical formula for this bell shaped probability density distribution. This bell shaped distribution is universally exhibited by the repeated measurements of many quantities in nature. ![]() ![]() Thus, in the case of height, the curve peaks at the mean height of 172.7 cm and the histogram of weight peaks at its mean value of 57.6 Kg. We also notice that the histograms approximately peak at their mean values. The above two distributions are in the form of a "bell shaped curve". Freqeucy distribution of height and weight of 25000 humans
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