Z Score Calculator

Standard score also known as z-score or z-values. It is a statistical measurement of a score's relationship to the mean in a group of scores. It can be positive or negative value. This stanadrd Z-score helps to decide whether to keep or reject the null hypothesis. It shows us that the score is equal to the mean, below the mean or above the mean. Use this Z Score calculator to calculate the z-value from the standardized random variable, sample mean and the sample standard deviation.

Standard Z Score Calculation

Standard score also known as z-score or z-values. It is a statistical measurement of a score's relationship to the mean in a group of scores. It can be positive or negative value. This stanadrd Z-score helps to decide whether to keep or reject the null hypothesis. It shows us that the score is equal to the mean, below the mean or above the mean. Use this Z Score calculator to calculate the z-value from the standardized random variable, sample mean and the sample standard deviation.

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Formula:

Z value = (X - µ) / σ Where, X = Standardized Random Variable, µ = Sample Mean, σ = Sample Standard Deviation.

Example

Z-score can be computed by subtracting the mean from the given standardized random variable value and
then divide by the standard deviation.

* If we get negative z-score that is below the mean;
* If we get positive that is above the mean;
* If we get zero that is same as the mean.

Let us consider an input data 2,3,4, the sample mean for the given value is 3 and standard deviation is 1,
Consider the standardized random variable as 5,
By substituting the given values in the formula, ( 5 - 3 ) / 1 we will get the z score value as 2
We got a positive z value (2) so that's above the mean.

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