Z-Score Calculator | Standard Score Calculator Online
A Z-Score Calculator is an online tool used in statistics to determine how many standard deviations a data point is from the mean of a dataset. Z-scores are essential for understanding probabilities, standardization, and comparisons.
This tool is perfect for students, data analysts, and anyone dealing with statistics.
Z-Score Calculator
Z-Score:
What is a Z-Score?
A Z-Score, also called a standard score, represents how far a value is from the mean, measured in standard deviations.
Formula:Z=σX−μ
Where:
- X = Data point
- μ = Mean of dataset
- σ = Standard deviation
Why Use a Z-Score Calculator?
- Quickly standardize data
- Compare different datasets
- Find probability or percentile
- Check outliers in data
How to Calculate Z-Score Manually
- Subtract the mean from your value
- Divide the result by the standard deviation
- The result is your Z-score
Example:
| Value (X) | Mean (μ) | SD (σ) | Z-Score |
|---|---|---|---|
| 85 | 75 | 5 | (85-75)/5 = 2 |
| 60 | 75 | 5 | (60-75)/5 = -3 |
Applications of Z-Scores
| Field | Use |
|---|---|
| Education | Test scores comparison |
| Finance | Risk measurement |
| Research | Outlier detection |
| Quality control | Standardization |
Benefits of Using a Z-Score Calculator
- Save time
- Avoid calculation errors
- Mobile-friendly for quick access
- Supports students and professionals
Tips for Accurate Results
- Ensure mean and standard deviation are correct
- Use consistent units
- Enter numeric values only
The Z-Score Calculator is an essential statistical tool. It helps you quickly compute standard scores, analyze datasets, and understand probabilities in an easy, accurate, and mobile-friendly way.
