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Standard Deviation Calculator

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About This MicroSim

Walk through the calculation of variance and standard deviation step by step.

How to Use

  • Click Next Step to advance through each calculation step
  • Click Show All to see the complete solution
  • Toggle between Sample (n-1) and Population (n) formulas
  • Choose different preset datasets to practice with

The Six Steps

  1. Calculate the mean
  2. Find each deviation from the mean
  3. Square each deviation
  4. Sum the squared deviations
  5. Divide by (n-1) for sample variance
  6. Take the square root for standard deviation

Lesson Plan

Learning Objective

Students will calculate variance and standard deviation by following a systematic procedure and understanding each step's purpose (Bloom's Taxonomy: Applying, Understanding).