Standard Deviation Calculator
Standard Deviation Calculator
How It Works
Input a list of numbers (comma-separated or space-separated) using the keypad or keyboard. The calculator will compute the mean, variance, and standard deviation (both population and sample) of the dataset. Click “Calculate” to see the results. Share or embed the calculator using the provided buttons.
Standard Deviation Calculator
Enter Numbers (e.g., 1, 2, 3 or 1 2 3)
Result
Steps
About Standard Deviation Calculator
The Standard Deviation Calculator computes the standard deviation of a dataset, which measures how spread out the numbers are from the mean. It calculates both population and sample standard deviation.
How to Use
- Enter a list of numbers, separated by commas or spaces (e.g., 1, 2, 3 or 1 2 3).
- Click “Calculate” to compute the mean, variance, and standard deviation. The page will scroll to the result.
- Click “Clear” to reset the input and results.
- Click “Share” to copy the calculator’s URL to your clipboard.
- Click “Embed” to copy an iframe code for embedding on another website.
- The results and calculation steps will be displayed.
Formulas
Steps for Standard Deviation:
1. Mean (μ) = Σx / n
2. Variance (σ²) = Σ(x – μ)² / n (population)
Variance (s²) = Σ(x – μ)² / (n – 1) (sample)
3. Standard Deviation (σ) = sqrt(σ²) (population)
Standard Deviation (s) = sqrt(s²) (sample)
Where:
- Σx = sum of all numbers
- n = number of data points
- x = each data point
- μ = mean of the dataset
Important Notes
- Enter at least two numbers to calculate standard deviation.
- Numbers can be integers or decimals, separated by commas or spaces.
- The keypad’s Clear button clears the input field.
- “Share” and “Embed” buttons require a browser that supports the Clipboard API.