TATITIC CALCULATOR
Z Score
A precise tool.
What is the Z Score & How does it work?
The Zβscore measures how many standard deviations an individual observation is from the population mean, providing a common scale for comparing values across different distributions.
It is calculated by subtracting the mean (ΞΌ) from the raw score (X) and then dividing by the standard deviation (Ο). This transformation converts any normallyβdistributed variable to the standard normal distribution.
A positive Zβscore indicates the observation lies above the mean, while a negative Zβscore indicates it lies below. Zβscores are widely used in hypothesis testing, grading, and outlier detection.
z = \frac{X – \mu}{\sigma}
z = standardized score
Parameters
Result
β
Frequently Asked Questions
What is a Z-score?
A Z-score measures how many standard deviations an individual observation is from the population mean.
How do I calculate a Z-score?
Subtract the mean (ΞΌ) from the raw score (X), then divide by the standard deviation (Ο).
What does a positive Z-score indicate?
A positive Z-score indicates that the observation is above the population mean.
What does a negative Z-score indicate?
A negative Z-score indicates that the observation is below the population mean.
Why use a Z-score calculator?
To standardize scores and compare data from different distributions on a common scale.
Can I use this calculator for any type of data?
This calculator is suitable for normally distributed data. For other distributions, transformations may be necessary.
What does the Z-score tell me about my data?
The Z-score tells you how far away a particular value is from the mean in terms of standard deviations.
Results are for informational purposes only and do not constitute professional advice.