Standard Deviation Calculator
Calculate standard deviation, variance, mean, and data spread instantly. Use our free Standard Deviation Calculator for statistics, research, education, and data analysis.
This calculator is useful in several situations, including Statistics, Research, Data Analysis, Education, Business Analytics, Data Science, Survey Analysis, Mathematics, Scientific Studies, and Quality Control. In each case, it applies the correct formula automatically so you get a precise result without manual calculation.
Standard Deviation Calculator
Calculate standard deviation, variance, mean, range, and other statistical measures from a dataset.
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How the Standard Deviation Calculator Works
Follow these simple steps to get accurate results instantly.
Enter Data Values
Enter numbers separated by commas.
Calculate Mean
The calculator finds the average of all values.
Calculate Variance
Variance is calculated using deviations from the mean.
View Standard Deviation
See standard deviation, variance, mean, and count.
Standard Deviation Formula
σ = √( Σ(x − μ)² / N )
Standard deviation measures how spread out data values are from the mean. A low standard deviation indicates data points are close to the mean, while a high standard deviation indicates greater variability.
Example Calculation
Input: 10, 20, 30, 40, 50
Output: Mean = 30, Standard Deviation ≈ 14.14
Common Uses
- • Statistics
- • Research
- • Data Analysis
- • Education
- • Business Analytics
- • Data Science
- • Survey Analysis
- • Mathematics
- • Scientific Studies
- • Quality Control
Frequently Asked Questions
Find answers to common questions about this calculator.