Standard Deviation Calculator
Use this professional standard deviation calculator to quickly find the mean, variance, sample standard deviation, population standard deviation, sum, and total count from any data set.
Enter Your Data Set
You can separate values using commas, spaces, or new lines. Only numeric values will be calculated.
Results
Standard deviation shows how spread out numbers are from the average value. A small standard deviation means most values are close to the mean, while a large standard deviation means values are more spread out.
This calculator is useful for students, researchers, finance users, business reports, quality checks, surveys, and any situation where you need to understand data variation.
- Enter your numbers separated by commas, spaces, or new lines.
- Choose sample or population standard deviation.
- The tool calculates the mean of your data set.
- It finds how far each number is from the mean.
- It returns standard deviation, variance, count, and sum instantly.
Use sample standard deviation when your data is only a part of a bigger group, such as a survey of 50 customers from thousands.
Use population standard deviation when your data includes every value in the complete group, such as marks of every student in one small class.
- Fast and accurate statistical calculations
- Supports comma, space, and line-separated values
- Calculates sample and population deviation
- Shows mean, variance, count, and sum together
- Works directly in your browser without page reload
Frequently Asked Questions
What does standard deviation tell you?
Standard deviation tells you how much the values in a data set differ from the average. Lower values mean data is more consistent, while higher values mean data is more spread out.
Should I use sample or population standard deviation?
Use sample standard deviation when your data is taken from a larger group. Use population standard deviation when your data contains every value from the full group.
Can I paste numbers from Excel?
Yes. You can paste numbers from Excel, Google Sheets, or any list. The calculator supports values separated by commas, spaces, tabs, or new lines.
What is variance?
Variance is the average of squared differences from the mean. Standard deviation is the square root of variance, making it easier to understand in the same unit as the original data.
Is this calculator useful for statistics homework?
Yes. This tool is helpful for statistics homework, data analysis, finance calculations, research work, quality control, and business reports.