How to Use

How to Use the Standard Deviation Calculator

Step 1: Enter Your Data

Type or paste your numbers separated by commas or spaces. You can enter as many numbers as you need.

Step 2: Calculate

Click Calculate to compute all statistics instantly: mean, variance, standard deviation (both population and sample), median, min, max, and range.

Step 3: Analyze Results

Review the calculated statistics. Population standard deviation (σ) uses N, while sample standard deviation (s) uses N-1 for unbiased estimation.

Key Features

  • Population and sample standard deviation
  • Mean, median, min, max, and range
  • Instant calculation
  • Handles large datasets
  • Mobile friendly
  • 100% free, no limits

Common Uses

  • Statistical analysis and research
  • Math and statistics homework
  • Quality control and process monitoring
  • Finance and investment risk analysis

FAQ

Q: What is the difference between population and sample standard deviation?
A: Population standard deviation (σ) divides by N when you have data for the entire population. Sample standard deviation (s) divides by N-1 when working with a sample to provide an unbiased estimate of the population parameter.

Q: What does standard deviation tell you?
A: Standard deviation measures how spread out your data is from the mean. A low standard deviation means data points are close to the mean; a high value means they're widely spread.

Q: How many numbers can I enter?
A: You can enter as many numbers as you need. The calculator handles large datasets efficiently with client-side computation.