Free Standardization Calculator

Standardize a value by subtracting the mean and dividing by the standard deviation (z-score standardization).

Standardized Value (z)

1.500000

Deviation from Mean15.0000
|z|1.500000

Standardized Value (z) vs Value to Standardize

How to Standardize Data (Z-Score)

Formula

Z = (X - Mean) / SD

Standardization (z-score transformation) converts data to have mean 0 and standard deviation 1. Each standardized value tells you how many standard deviations the original value is from the mean. This is the most common preprocessing step in statistics and machine learning.

Example Calculation

Dataset has mean 60 and SD 10. Standardize the value 75.

  1. 01Z = (75 - 60) / 10 = 15 / 10 = 1.5
  2. 0275 is 1.5 standard deviations above the mean
  3. 03After standardization, the value is 1.5

Frequently Asked Questions

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Learn what the normal distribution is, why it matters in statistics, and how to use the bell curve for probability calculations, z-scores, and real-world data analysis.

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