Z-Score Calculator

Understand how far a data point deviates from the mean using our Z-Score Calculator. Get instant and accurate results!

Calculate Your Z-Score

Your Z-Score:

What it is

What is Z-Score?

Create Date: June 13, 2024

Last Modified Date: December 10, 2024

Z-Score, or the standard score, indicates how many standard deviations a data point is from the mean of a dataset. It helps to understand the relative position of the data point within the distribution.

How to Calculate Z-Score

Calculating z-score can be done with the following variables:

  1. Data point

  2. Mean

  3. Standard Deviation
Once you have values for each of these, you can use the following formula to get the z-score value:
An image of the formula used to calculate z-score.
Where:
  • ZS = Z-score

  • DP = Data point

  • M = Mean

  • SD = Standard deviation

Understanding Your Results

Your z-score will be a single number. This number may not be a whole number but can be sometimes. This number represents how many standard deviations the data point is from the mean. If the data point is less than the mean the z-score will be a negative number. Inversely, if the data point is greater than the mean it will be a positive result. The closer the z-score is to zero, the closer the data point is to the mean.

How to Use the Z-Score Tool

If you are trying to easily find the z-score value of something than you are in the right place. Calculating z-score with this tool is very simple. The steps involved with using this tool include:

  1. Enter the data point.

  2. Enter the mean of the data set.

  3. Enter the standard deviation.

  4. Hit the calculate button and instantly get your z-score result

Calculation Example

Let's say we just got out grade back on our midterm and we want to have a better understanding of how we did. We want to see how closely we aligned with the middle of the pack of grades. We can use this tool to find the z-score to help us understand this more. We got a 90 on the test. The mean score was 85 and the standard deviation is 15. We can enter these numbers into this tool and hit calculate to get our z-score. When we do we get a z-score result of .33, meaning we are about a third of a standard deviation from the mean score.

Z-Score - Frequently Asked Questions

Z-Scores are used to standardize data, compare datasets, and identify outliers. They are essential in fields such as statistics, finance, and health sciences.

Z-Scores are useful when you need to compare data points across distributions with different means and standard deviations or when identifying trends and outliers.

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