Standard Deviation Calculator
Calculate population and sample standard deviation, variance, and other descriptive statistics
About this calculator
The Standard Deviation Calculator computes population and sample standard deviation, variance, mean, and other essential descriptive statistics for any dataset. Standard deviation measures how spread out data points are from the average, helping you understand data variability and distribution patterns. This tool is invaluable for students, researchers, analysts, and professionals who need to analyze data consistency, compare datasets, make statistical inferences, or perform quality control analysis across various fields including finance, science, and business analytics.
How to use
Enter your numerical data values separated by commas or spaces into the input field. Select whether you want population or sample standard deviation based on your dataset type. Click calculate to instantly get results including standard deviation, variance, mean, median, and range with detailed statistical summaries.
Frequently asked questions
What's the difference between population and sample standard deviation?
Population standard deviation uses the entire dataset and divides by n. Sample standard deviation estimates from a subset and divides by n-1 for better accuracy.
When should I use standard deviation vs variance?
Use standard deviation for interpretability since it's in the same units as your data. Variance is useful for mathematical calculations and comparisons.
What does a high standard deviation mean?
High standard deviation indicates data points are widely spread from the mean, showing high variability. Low values indicate data clustering near the average.