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Range to Standard Deviation (SD) Calculator

With three inputs: minimum, maximum, and sample size. This conversion provides an estimated standard deviation.

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If you want to convert or calculate data for more than one study at the same time, enter data for study 1, study 2, study 3, ...etc, RESPECTIVELY across all cells using the same order.

Conversion Results

Study ID Minimum Maximum Sample Size Estimated SD

Description of the formula

Variables Definitions

  1. Minimum: The smallest value in the dataset
  2. Maximum: The largest value in the dataset
  3. Sample Size (N): The total number of data points in the sample
  4. Range: The difference between the maximum and minimum values
  5. Conversion Factor: A statistical constant that depends on the sample size
  6. Estimated SD: The calculated standard deviation based on the range

Conversion Formula

  1. Calculate the range: Range = Maximum - Minimum
  2. Look up the conversion factor (f) based on the sample size
  3. Calculate the estimated SD: SD = f × Range

SD = f × (Maximum - Minimum)