Standard Deviation Calculator

Developed by Hemant Parashar, B.Sc.

Enter a set of numbers to calculate mean, median, mode, variance, and standard deviation.

General Purpose Disclaimer

This tool is developed for educational and quick reference purposes. Calculations should be verified independently for critical applications.

Enter Data

Statistics

Count (n)
Sum
Mean (Average)
Median
Mode
Minimum
Maximum
Range
Variance
Standard Deviation

How to Use the Standard Deviation Calculator

Calculates variance, mean, and standard deviation for population or sample datasets. Follow these instructions to compute your results accurately:

  • Input your numbers separated by commas, select whether it is a sample or population, and calculate.
  • Double-check all inputs to prevent calculation errors.
  • Results are processed instantly in your browser via client-side scripts.

Mathematical Formulas & Calculation Principles

The underlying calculations rely on the following mathematical logic:

σ = √[ ∑(x_i - μ)² / N ]

Frequently Asked Questions (FAQ)

Q: What is the difference between population and sample standard deviation?

A: Population standard deviation divides the sum of squared differences by N (total count), while sample standard deviation divides by N - 1 to account for sample bias.

This tool was developed and verified by Hemant Parashar, B.Sc. Graduate and part-time blogger, to provide free, high-accuracy mathematical resources for educational use. Complex parameters were reviewed by Hemant Parashar (B.Sc. Graduate & Lead Developer).