For example, to calculate the cut-off of the lower quartile (lower 25%) of a normal distribution simply enter 0.25. In quantile mode computes the inverse distribution function (IDF) of any normal distribution given its mean, standard deviation, and a specific proportion (a.k.a. These can be used in the odd case where one is appropriate. The calculator outputs a single z-score for the one-tailed scenario (use with a minus in front to change tails, if necessary) and the two z scores defining the upper and lower critical regions for a two-tailed test of significance. In the second mode the inverse CDF of the standard normal distribution is used to compute a standardized score (Z score) corresponding to the selected level of statistical significance, a.k.a.
With μ = 0 and σ = 1 the tool serves as a standard normal distribution calculator and the raw score entered is equal to a Z score.
The output also includes the computed Z score. The calculations in this mode are carried out using the cumulative distribution function of the normal distribution with the specified mean μ (mu) and standard deviation σ (sigma). It can also be used to determine the significance threshold corresponding to a given critical region specified by one or two standard scores. For example, one may want to compute a p-value as part of a test of statistical significance. The first is useful in calculating the probability corresponding to the area under a normal curve below or above a given normal score (raw score). This calculator has three modes of operation: as a normal CDF calculator, as a probability to Z score calculator, and as an inverse normal distribution calculator. How to use the normal distribution calculator
Inverse distribution function (quantile function, IDF).How to use the normal distribution calculator.
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