Standard Deviation Calculator
Calculate population and sample standard deviation with comprehensive statistical analysis. Perfect for students, researchers, and professionals working with data analysis and statistics.
Standard Deviation Calculator
Calculate population and sample standard deviation with comprehensive statistical analysis
Enter Your Data
Separate numbers with commas
Check if you have the entire population. Leave unchecked for sample data.
About Standard Deviation
• Population SD: Use when you have data for entire population
• Sample SD: Use when you have data from a sample
• Higher SD = more spread out data
• Z-scores show how many SDs a value is from mean
Standard Deviation Examples
Understanding Standard Deviation
Standard deviation is a measure of variability that indicates how spread out the values in a dataset are from the mean. It's one of the most important statistical measures for understanding data distribution and variability.
Our calculator provides both population and sample standard deviation calculations. Population standard deviation is used when you have data for an entire population, while sample standard deviation is used when you have data from a sample of a larger population.
The calculator also provides additional insights including variance, coefficient of variation, z-scores, and outlier detection to give you a comprehensive understanding of your data.
How to Use This Calculator
When to Use Standard Deviation
Data Analysis
Use standard deviation to understand the spread and variability in your dataset.
Quality Control
Monitor process consistency and identify variations in manufacturing or processes.
Research & Studies
Analyze experimental results and understand the reliability of your findings.