How to Calculate and Solve for Standard Deviation | Mechanical Properties
Last Updated on June 8, 2024
The image above represents standard deviation. To calculate standard deviation, one essential parameter is needed, and this 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)
That is, Mean = ∑X / N
Mean = 3 / 1
Mean = 3
| X | X – Mean | |X – Mean| | |X – Mean|² |
|---|---|---|---|
| 3 | 0 | 0 | 0 |
∑(|X – Mean|²) = 0
Standard Deviation = √(∑(|X – Mean|²) / N)
Then, Standard Deviation = √(0 / 1)
Standard Deviation = √(0)
Standard Deviation = 0
Therefore, the standard deviation is 0.
Read more: How to Calculate and Solve for Mean | Mechanical Properties
How to Calculate Standard Deviation With Nickzom Calculator
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:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
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.
