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# How to Calculate and Solve for Standard Deviation | Mechanical Properties

Last Updated on January 10, 2023

The image above represents standard deviation.

To compute for standard deviation, one essential parameter is needed and these parameter is Set of Data (X).

The formula for calculating standard deviation:

Standard Deviation = √((∑|X – Mean|2) / N)

Mean = ∑X / N
N = Total number of the set of data
∑X = Sum of the Set of Data

Given an example;
Find the standard deviation when the set of data is 3.

This implies that;

N = Total number of the set of data = 1
∑X = Sum of the Set of Data = 3

Standard Deviation = √((∑|X – Mean|2) / N)
Mean = ∑X / N
Mean = 3 / 1
Mean = 3

Data table
X X – Mean |X – Mean| |X – Mean|²
3 0 0 0

∑(|X – Mean|²) = 0
Standard Deviation = √(∑(|X – Mean|²) / N)
Standard Deviation = √(0 / 1)
Standard Deviation = √(0)
Standard Deviation = 0

Therefore, the standard deviation is 0.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the standard deviation.

To get the answer and workings of the standard deviation using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

You can also try the demo version via https://www.nickzom.org/calculator

Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.

Now, Click on Mechanical Properties under Materials and Metallurgical

Now, Click on Standard Deviation under Mechanical Properties

The screenshot below displays the page or activity to enter your values, to get the answer for the standard deviation according to the respective parameter which is the Set of Data (X).

Now, enter the values appropriately and accordingly for the parameters as required by the Set of Data (X) is 3.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the standard deviation and presents the formula, workings and steps too.