how to calculate standard deviation - easycalculation
TRANSCRIPT
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How to Calculate Standard Deviation?
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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:
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Step 1: Find the mean
Given Numbers: 10, 20, 30, 40, 50
10+20+30+40+50 = _______________
5
150
= _____ = 30
5
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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
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Step 3: Calculate the sum of squared differences
= 400 + 100 + 0 + 100 + 400
= 1000
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Step 4: Calculate the Standard Deviation
= √(1000) / (5-1))
= √ ((1000) / (4)) = √250
S = 15.811