Dispersion Calculator: Analyze Data Variability

Calculate Measures of Statistical Dispersion

Separate numbers with commas (e.g., 10.5, 20, 30.7). Decimals are allowed.

Our free online Dispersion Calculator helps you understand the spread and variability of your data. Easily calculate crucial statistical measures such as mean, range, variance (population & sample), and standard deviation (population & sample) for any given dataset. Simply enter your numbers and get instant, accurate results to analyze data distribution.

Formula:

Dispersion refers to the spread or variability of a dataset. This calculator provides several key measures:

  • Mean (μ or x̄): The average of all numbers.
    Formula: Σx / N (sum of all values divided by count)
  • Range: The difference between the highest and lowest values in a dataset.
    Formula: Max Value - Min Value
  • Variance (Population σ2; Sample s2): Measures how far each number in the set is from the mean.
  • Standard Deviation (Population σ; Sample s): The square root of the variance, indicating the typical distance of data points from the mean.

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