Standard Deviation Calculator
What is Standard Deviation?
Standard deviation is a statistical measure that shows how spread out numbers are from the mean (average). A low standard deviation means data points are close to the mean, while a high value shows greater variation.
Our Standard Deviation Calculator helps you quickly calculate deviation, variance, and mean with accurate results.
How to Use the Standard Deviation Calculator
Using our statistics calculator is simple:
Enter your data values (separated by commas)
Select sample or population
Click calculate
Instantly view mean, variance, and standard deviation
The tool works smoothly on desktop and mobile devices.
Standard Deviation Formula
For Population:
σ = √[ Σ (x − μ)² / N ]
For Sample:
s = √[ Σ (x − x̄)² / (n − 1) ]
Where:
x = each value
μ = population mean
x̄ = sample mean
N = total population values
n = total sample values
Our sample standard deviation calculator applies these formulas automatically.
Sample vs Population Standard Deviation
✔ Population standard deviation is used when analyzing complete data.
✔ Sample standard deviation is used when analyzing a subset of data.
Our calculator supports both types for accurate statistical analysis.
Why Use an Online Standard Deviation Calculator?
✔ Saves time
✔ Reduces calculation errors
✔ Ideal for students and researchers
✔ Useful in finance, science, and data analysis
✔ Free and easy to use
This online statistics tool simplifies complex calculations instantly.
Example of Standard Deviation Calculation
Data set: 2, 4, 4, 4, 5, 5, 7, 9
Mean = 5
Standard Deviation = 2
You can calculate similar datasets instantly using this tool.
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Frequently Asked Questions (FAQs)
Q1: Is this standard deviation calculator free?
Yes, it is completely free.
Q2: Does it calculate both sample and population deviation?
Yes, it supports both types.
Q3: Is it accurate?
Yes, it uses correct statistical formulas.
Q4: Can I use it on mobile?
Yes, it works on all devices.