Standard Deviation Calculator NEW

Calculate standard deviation for a dataset. Essential for statistics and data analysis.

σ = 2.5

Standard Deviation Calc NEW

Calculate standard deviation for a dataset. Essential for statistics and data analysis.

Standard Deviation Calculator

Standard Deviation Results
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Mean (μ)
0
Variance (σ²)
0
Count (n)
0
Sum (Σx)
0
Min Value
0
Max Value
0
Sample Standard Deviation Formula: s = √[Σ(x - μ)² / (n - 1)]

Population Standard Deviation Formula: σ = √[Σ(x - μ)² / n]
📊 Normal Distribution

Why Use Our Standard Deviation Calculator?

📈 Data Analysis

Essential for understanding data spread and variability in statistics, finance, and research.

⚡ Dual Calculation

Calculate both sample and population standard deviation with automatic formula selection.

👁️ Visual Insights

See your data distribution with our normal curve visualization and data point display.

📊 Comprehensive Stats

Get mean, variance, count, sum, min, and max values alongside standard deviation.

🎓 Educational Tool

Perfect for students learning statistics with clear formulas and step-by-step calculations.

📱 Mobile Friendly

Calculate standard deviation on any device. Perfect for quick statistical analysis on the go.

How to Use the Standard Deviation Calculator

1
📊 Enter Your Data

Input your numerical data separated by commas or spaces. You can enter individual numbers or paste from a spreadsheet.

2
⚙️ Choose Calculation Type

Select whether you want sample standard deviation (n-1) for sample data or population standard deviation (n) for complete population data.

3
🎯 Calculate Results

Click "Calculate Standard Deviation" to see the standard deviation along with other statistical measures.

4
📋 Analyze Results

Review the comprehensive statistics including mean, variance, and visual representation of your data distribution.

Frequently Asked Questions

Standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

Sample standard deviation uses n-1 in the denominator (Bessel's correction) and is used when working with a sample of data. Population standard deviation uses n in the denominator and is used when you have data for the entire population. Sample standard deviation provides a better estimate of the population standard deviation.

In a normal distribution, about 68% of values fall within 1 standard deviation of the mean, 95% within 2 standard deviations, and 99.7% within 3 standard deviations. This is known as the empirical rule or 68-95-99.7 rule.

Standard deviation is widely used in finance for risk assessment, in quality control for manufacturing, in sports analytics for player performance, in education for test score analysis, and in scientific research for experimental data analysis.

Absolutely! All calculations are performed directly in your browser. No data is sent to any server or stored anywhere. Once you close the page, all information is gone. This ensures complete privacy and security for your statistical analysis.