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How to Calculate Standard Deviation ?PowerPoint Presentation

How to Calculate Standard Deviation ?

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Learn how to calculate standard deviation.

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Standard Deviation

- 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.

Standard Deviation Calculation

- To calculate standard deviation, mean and varaiance shoul be known.
- Lets consider an example for simple understanding.

Standard Deviation Example

- 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

Standard Deviation - Mean

- Now you have to find the mean of the heights measured.
- Mean is nothing but average.
- Mean = 165 + 145 + 153 + 150
- 4
- = 500.5

Standard Deviation - Variance

- 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.

Standard Deviation - Variance

- 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

Standard Deviation

- 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!
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