# How to Calculate Z Score

A step by step z score tutorial to know how to find the z score in statistics with an example problem.

## Finding Z score | Standard Score Formula

Z Score is also called as Standard Score. Z Value Calculator allows you to determine how many number of standard deviation is above or below the population mean a raw score is. By knowing the mean, variance and standard deviation, you can easily find the Z score of the sample. Z score can also be placed in the Normal Distribution Curve. It is a dimensionless quantity obtained by finding the difference between the sample and mean, and dividing the resulting value by standard deviation. Learn here how to calculate z score in statistics with the standard score formula and example.

**Standard Score Formula**:

Finding Z score is very simple. Use the basic formula provided below to calculate the Z score of any statistics.

**z = (x - μ) / σ**

x - value of an element

μ - population mean

σ - standard deviation

**Z Score Example:**

An individuals test score is 250. The mean is 200 and has standard deviation 30. What is the Z score.

Click on the below links to learn how to calculate Mean and Standard Deviation.

**Step 1:**

Given,

Test score (X) - 250

Mean (μ) - 200

Standard Deviation (σ ) - 30

**Step 2:** Substitute the values in the formula.

z = (x - μ) / σ

= (250 - 200)/30

= 50 / 30

= 1.6

The Z Score value is 1.6.

Use our Z value calculator to calculate the z-value from the standardized random variable, sample mean and the sample standard deviation.

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