Normal Distribution Calculator

The Normal Distribution is also called the Gaussian distribution. It is a common continuous probability distribution. In statistics, the normal distributions are used to represent real-valued random variables whose distributions are not known. The normal distribution is sometimes informally called the bell curve. The simplest case of a normal distribution is known as the standard normal distribution. Use the below given calculator to for the calculation of normal or guassian distribution of a set of data.

Normal or Guassian Distributions Calculation


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Formula : X < mean = M - Z X > mean = M + Z Z = (X-M) / σ Where, M = Mean σ = Standard Deviation X = Normal Random Variable


The mean and standard deviation of a data set is 20 and 35. The random variable value is 5. What is its Normal / Guassian Distribution?

Here , X = 5, which is less than mean.
Hence, M-Z = 20 - 5 = 15
Z = (5 - 15) / 35
    = 0.6659

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