Standaardafwijking

What Is a Standard Deviation Calculator?

A standard deviation calculator measures how spread out values are from their mean. It computes both population and sample standard deviation along with variance, sum of squares, and the mean itself — covering the full descriptive statistics workflow.

Standard deviation is used in quality control, finance, research, and any field that needs to quantify variability or compare the consistency of different datasets.

How to Calculate Standard Deviation

1. Enter your dataset values separated by commas or spaces
2. Select whether it's a sample or population dataset
3. The calculator computes standard deviation instantly
4. View variance and other statistical measures

Features

• Calculate population and sample standard deviation
• Compute variance and mean automatically
• Show step-by-step calculation process
• Identify outliers using standard deviation ranges

Common Use Cases

• Analyzing test score consistency and grade distribution in education
• Measuring investment portfolio volatility and financial risk
• Evaluating manufacturing process consistency in quality control

Why Use ToolPop Standard Deviation Calculator

• Calculates both population (σ) and sample (s) standard deviation in one pass
• Shows variance and sum of squared deviations for full statistical transparency
• Paste any comma-separated dataset directly without formatting into a spreadsheet

ToolPop vs Spreadsheet Functions

Spreadsheets offer STDEV and STDEVP but require data entry in cells and provide no intermediate steps. ToolPop accepts a plain number list, shows the deviation of each value from the mean, and computes both formulas simultaneously.

Tips

• Standard deviation measures how spread out data is from the mean
• Use sample standard deviation (n-1) for data samples
• About 68% of data falls within 1 standard deviation of the mean

Frequently Asked Questions

What's the difference between population and sample standard deviation?

Population SD uses all data (divide by n). Sample SD uses a sample from larger population (divide by n-1) to give an unbiased estimate.

What does a small standard deviation mean?

A small standard deviation means data points are clustered close to the mean. A large SD means values are spread out across a wider range.

Is my statistical data completely private?

Absolutely. All standard deviation calculations run locally in your browser without storing or transmitting your data.