How to Calculate Standard Deviation?

To Find the Standard Deviation, follow the below steps

Step 1: Find the mean.Step 2: Take each number, subtract the mean and square the result.Step 3: Calculate the sum of squared differencesStep 4: Calculate the standard Deviation

Formula:

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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