Quickly calculate Standard Deviation for any dataset with our Standard Deviation Calculator. Easily analyze data dispersion, variance, and statistical accuracy to make informed decisions. This professional statistical tool is perfect for both population and sample data analysis, ensuring precise results in seconds.
📊 Standard Deviation Calculator
Calculate standard deviation, variance, mean, range, count, and standard error (SEM) for your dataset
Results
Standard Deviation Calculator – Fast & Accurate Statistical Analysis Tool
Use our Standard Deviation Calculator to quickly compute both population and sample standard deviation. This tool simplifies complex statistical calculations and helps you understand data dispersion, variance, and accuracy in your datasets.
What is Standard Deviation?
Standard deviation is a measure of how spread out numbers are in a dataset. It indicates the variability or dispersion of data points from the mean.
Standard Deviation Calculator – Fast & Accurate Statistical Analysis Tool
Use our Standard Deviation Calculator to quickly compute both population and sample standard deviation. This tool simplifies complex statistical calculations and helps you understand data dispersion, variance, and accuracy in your datasets.
What is Standard Deviation?
Standard deviation is a measure of how spread out numbers are in a dataset. It indicates the variability or dispersion of data points from the mean.
Standard Deviation Formulas
Population Standard Deviation Formula
σ = √(Σ (xᵢ − μ)² / N) Where σ is the population standard deviation, xᵢ are data points, μ is the population mean, and N is the number of data points.
Sample Standard Deviation Formula
s = √(Σ (xᵢ − x̄)² / (n − 1)) Where s is the sample standard deviation, x̄ is the sample mean, and n is the sample size.
How to Calculate Standard Deviation?
Follow these steps to calculate standard deviation easily using our calculator:
Step 1: Enter Your Data
Input the dataset values into the calculator. You can enter both population or sample data.
Step 2: Choose Calculation Type
Select whether you want population or sample standard deviation.
Step 3: View Results
The calculator instantly shows the standard deviation, variance, mean, and other relevant statistics.
Applications of Standard Deviation
Standard deviation is widely used in statistics, finance, research, data analysis, and quality control to measure data variability and understand risk or consistency.
Example Calculation
Sample Data Example
Suppose we have the dataset [4, 8, 6, 5, 3]. Using our calculator, the sample standard deviation is calculated as 1.58.