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All formulae are given in Klong notation.
Click a formula to compute it. Unfortunately, I had to remove this
function in order to comply with the "General Data Protection Regulation"
(GDPR).
Short summary: cdf(x) is the cumulative distribution function, i.e. the area under the bell curve from -infinity to x. The x parameter is given in σ, the returned value is a percentile normalized to the interval [0,1]. cdf(x1)-cdf(x0) is the area under the interval (x0,x1]. 1-cdf(x) is the size of the xth percentile. %1-cdf(x) is the size of the smallest sample containing one specimen in the xth percentile. rnd(x) rounds x to the nearest integer.
Formulae evaluate from the right to the left, so a-b-c equals a-(b-c). _x is floor, x%y is divide, %x is reciprocal, {x} is a function returning x. See the Klong page for more information.
All probabilities are expressed as real numbers in the interval [0,1], e.g. 99.7% is written as 0.997.