Standard Normal Variate

 

A distribution with mean (μ) equals to zero and variance (σ²) equals to one is called Standard Normal Variate. It is denoted by 'z'. It is also called z-score.

z-score tells us how an element of the dataset  is close to mean. It can find the under-performing elements from the dataset. If z-score is low then, the element is close to the mean and if z-score is large then the element is far from the mean.

Formula to calculate z-score:

 Let, X~N(μ,σ²),

        X belongs to normal distribution (N) with mean μ and variance σ². Then,