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Standard Deviation Calculator

Standard Deviation Calculator – Calculate Data Dispersion Accurately

The Standard Deviation Calculator is a fast and easy-to-use online tool that allows you to determine how spread out your data is. Standard deviation is a key statistical measurement showing the amount of variation from the mean in a dataset.

What is Standard Deviation?

Standard deviation measures the dispersion of data points around the mean. A low standard deviation indicates that the data points are close to the mean, whereas a high standard deviation shows data points are more spread out. It is widely used in statistics, research, and data analysis.

How to Use the Standard Deviation Calculator?

Standard Deviation Formula

For Population: σ = √(Σ(xi - μ)² / N)

For Sample: s = √(Σ(xi - x̄)² / (n-1))

Where:
σ = population standard deviation
s = sample standard deviation
xi = each data point
μ = mean of population
x̄ = mean of sample
N = population size
n = sample size

Example

Dataset: 10, 12, 23, 23, 16, 23, 21, 16 → Standard Deviation ≈ 5.34

Why Use a Standard Deviation Calculator?

Benefits of Our Standard Deviation Calculator

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