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# How to Calculate Standard Deviation ? - PowerPoint PPT Presentation

Learn how to calculate standard deviation.

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## PowerPoint Slideshow about 'How to Calculate Standard Deviation ?' - Techarena

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Presentation Transcript

• The measure of how much the data is spread out form the mean is called as standard deviation.

• It is expresses in sigma.

• The higher the dispersion, the higher standard deviation.

• To calculate standard deviation, mean and varaiance shoul be known.

• Lets consider an example for simple understanding.

• Measure the height of all the person's in your home.

• If your home contains four members and their height's are :

• A = 165

• B = 145

• C = 153

• D = 150

• Now you have to find the mean of the heights measured.

• Mean is nothing but average.

• Mean = 165 + 145 + 153 + 150

• 4

• = 500.5

• Next step is to find the variance.

• It is the average of the squares of the differences from mean.

• Subtract individual heights from the mean and square each value.

• A = (165 - 153.25) = (11.75)^2 = 138.0625

• B = (145 - 153.25) = (-8.25)^2 = 68.0625

• C = (153 - 153.25) = (-0.25)^2 = 0.0625

• D = (150 - 153.25) = (-3.25)^2 = 10.5625

• Variance = 138.0625 + 68.0625+0.0625+10.5625

• 4 - 1

• = 72.25

• Now Standard Deviation = Square root (Variance)

• = Square root ( 72.25)

• = 8.5

• For population standard deviation, we would calculate variance without subtracting 1 from the denominator.

Calculate standard deviation online with Standard Deviaton Calculator

https://www.easycalculation.com/statistics/standard-deviation.php

Thank You!