Standard Deviation Calculator
This standard deviation calculator turns a list of numbers into a quick statistics summary.
Enter values separated by commas or spaces, then choose whether to treat the data as a sample or a population.
The result includes mean, variance, and standard deviation, which are common in U.S.
high school, AP Statistics, and college courses.
Assumptions
- Separate values with commas or spaces.
- Choose sample mode when your dataset is a sample rather than the full population.
- Very small datasets can produce unstable statistics.
How this calculator works
Formula used
Standard deviation is based on the square root of the variance, which measures the average squared distance from the mean.
Example calculation
For 2, 4, 4, 4, 5, 5, 7, 9, the population standard deviation is 2.
Standard Deviation Calculator FAQ
Is this standard deviation calculator exact?
It is designed as a practical estimate or classroom calculator for standard deviation calculator. Results can differ if your teacher, textbook, software, or engineering workflow uses different assumptions, notation, or precision.
Who should use this standard deviation calculator?
Students, parents, teachers, and everyday users can use it for homework checks, class review, exam prep, and quick planning calculations on a desktop or phone.
Does this replace official coursework, lab software, or professional tools?
No. These pages are educational calculators for learning and general use. For graded work, lab reports, engineering decisions, or research, verify the result with your course method or professional software.