Statistics How To

Variance and Standard Deviation Calculator

This standard deviation calculator calculates the standard deviation and variance from a data set. In addition, you’ll also be able to see your answer step-by-step below.

Data set:


Results

  • Variance:
  • Standard Deviation:
Explanation

  1. First, I summed all the numbers:
  2. I squared the sum, and divided the number of items in the data set
  3. I took my set of original numbers from step 1, squared them individually this time, and added them all up:
  4. I subtracted the amount in step 2 from the amount in step 3:
  5. I subtracted 1 from the number of items in my data set:
  6. I divided the number in step 4 by the number in step 5:
  7. Finally, I took the square root of the number from step 6 (called the Variance),


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