The Error Function is very important in Statistics, as it is used to calculate the CDF (Cumulative Distribution Function) of the much used Gaussian distribution. It is also known as the Gauss Error Function, and is given by the formula

$\large erf(x)=\frac{2}{\sqrt{\pi}}\int_0^xexp(-t^2)dt$

A numerical implementation of this function occurs in the calculator below. Fill in the left entry only to calculate the Error function - pressing the calculate button will populate the right box with the result. Alternatively, fill in the right box only to calculate its inverse Error Function (values must lie between -1 and +1, as this is the range of the Error function). Pressing the calculate button will populate the left box with the result.

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