Standard Deviation Calculator

Quickly and accurately calculate the standard deviation and variance for any set of numerical data. This powerful tool is designed for students, data analysts, and researchers who need to measure the dispersion or spread of a dataset. It correctly computes both **Sample** and **Population** standard deviation and variance, providing a complete statistical summary in real-time.

How It Works

Our calculator is designed for simplicity and speed. The analysis happens instantly as you provide your data.

  1. Enter Your Data: Paste or type your list of numbers into the input field. You can separate them with spaces, commas, or newlines.
  2. Get Instant Results: The tool automatically processes your input and displays a full set of statistical calculations in a clear, card-based layout.
  3. Analyze the Dispersion: The primary results—standard deviation and variance—are highlighted for easy viewing.

Key Features

  • Sample vs. Population Calculations: A key feature for correct statistical analysis, the tool calculates both:
    • Sample Standard Deviation (σₓ) & Variance (s²): Used when your data is a sample of a larger population.
    • Population Standard Deviation (σ) & Variance (σ²): Used when your data represents the entire population.
  • Complete Statistical Summary: In addition to the primary metrics, the tool also provides essential descriptive statistics for your dataset, including the Count, Sum, Mean (Average), and Range.
  • Real-Time Calculation: No "submit" button required. All statistics update with every keystroke, providing immediate feedback as you edit your data.
  • Flexible Input Parsing: The tool automatically cleans your input, processing numbers separated by spaces, commas, or newlines while ignoring non-numeric text.
  • Clear Card-Based Layout: Each statistic is presented in its own dedicated card with a relevant icon. The key results for standard deviation and variance are highlighted to stand out.

How to Use the Calculator

  1. Step 1: Enter Your Data Set
    Paste or type your list of numbers into the large input area at the top.
  2. Step 2: Review the Results Grid
    The grid below will instantly populate with all the calculated statistics. The four primary cards show the Sample and Population versions of Standard Deviation and Variance.
  3. Step 3: Clear to Start Over
    Click the "Clear" button that appears next to the input area to easily wipe the data and begin a new calculation.

Find Our Tool

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