Z-Score Calculator Online
Calculate statistical z-scores to determine how many standard deviations a data point is from the mean. This essential statistical tool helps students, researchers, and data scientists analyze normal distributions and identify outliers.
Value (X):
Mean (μ):
Standard Deviation (σ):
Result:
N/A
What is a Z-Score?
A z-score (also called a standard score) measures how many standard deviations a specific data point is from the mean of a dataset. It allows you to standardize data from different distributions, making comparisons possible across different datasets and determining the relative position of individual values within a distribution.
Z-scores are particularly useful for identifying outliers, creating confidence intervals, and performing hypothesis testing in statistics and data analysis.
Formula
Z = (X - μ) / σ
- Z: Z-score (standard score)
- X: The data point value
- μ: The population mean
- σ: The population standard deviation
Typical Use Cases
- Education: Normalizing test scores and evaluating student performance
- Research: Identifying outliers and analyzing experimental data
- Finance: Risk assessment and portfolio performance evaluation
- Quality Control: Monitoring manufacturing processes and product quality
- Healthcare: Analyzing patient data and clinical trial results