How to Calculate Standard Deviation? - Easycalculation

Standard Deviation Formula:

To Calculate Standard Deviation, follow the below steps

Step 1: Find the mean.

Given Numbers: 10, 20, 30, 40, 50

                      10+20+30+40+50
    =               _______________

                                   5

                            150
    =                     _____ =   30
                   
                             5
Step 2: Take each number, subtract the mean and square the result.

    = (10-30)^2 = (-20)^2 = 400
    = (20-30)^2 = (-10)^2 = 100
    = (30-30)^2 = (0)^2     = 0
    = (40-30)^2 = (10)^2  = 100
    = (50-30)^2 = (20)^2  = 400

 
Step 3: Calculate the sum of squared differences

    = 400 + 100 + 0 + 100 + 400

    = 1000 

 
Step 4: Calculate the standard Deviation

   
       = √(1000) / (5-1))

      = √ ((1000) / (4))  = √250

      

     S = 15.811

 

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