This standard deviation calculator calculates the sample standard deviation and variance from a data set. This isn’t your ordinary variance and standard deviation calculator. Type in your numbers and you’ll be given: the variance, the standard deviation, plus you’ll also be able to see your answer **step-by-step** below.

Watch this short video for instructions, or scroll down to use the calculator:

Data set:

**Results**

- Variance:
- Standard Deviation:

**Explanation**

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

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