# standard deviation calculator

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## What is Standard Deviation?

The standard variance is a statistical measurement that takes into account the dispersion of a data set in relation to the mean of data set. It is calculated by taking the square root of variance. When the data points are close to the mean value, there is a smaller difference within the data set. Therefore, the more the data is spread, the higher the standard deviation is.

Standard deviation is also a statistical financial measurement that illustrates the historical volatility of that investment when applied to the annual rate of return. The higher the standard deviation of stocks, the larger the variation, which indicates a higher price range.

## Standard Deviation formula

Standard Deviation = s = $$\sqrt{\dfrac{\sum(x-\bar{x})^2}{n-1}}$$

In this equation, s refers to the standard deviation, x is each number in the data set, x̅ is mean of the data set, and n refers to the size of the data set.

## Applications of Standard Deviation

This is a common term in mathematics and Statistics which is utilized in experiments and industrial testing in the real world.
For example, the standard deviation calculator is helpful when assuring the average quality control of different products.
Below are some of the real-time application usage of the standard deviation calculator

### •    Quality Assurance of products

Moreover, another of its famous use is the finding of the percentage of the minimum and maximum value between the products for the cause of quality assurance.
With the help of the standard deviation calculator, the process of quality improvement is easy because you can make changes to the setting of the manufacturing machine when there is a variation in the products.

### •    Weather forecasting

One of the major uses of the standard deviation terms is in the weather forecasting department when there is a need to measure the difference for the changes of regional climate.
If we consider two cities that are far away from each other and we have to measure the change in the climate of these cities then the standard deviation can make the process easy.
Now, if weather forecasting is measured between the land and coast areas and this is one of the most essential tools for the department.
The calculation of the temperature between these two land or cities are almost the same but in actuality, there is a huge climate change which is measurable with the standard deviation.
Remember, the coastal areas comparatively have stable temperature because of the large parameters of meter whereas the land has different states for water.
This parameter of water tends to make stabilization in the temperature and this is the reason why coastal areas have stable climate through the season but the land usually gets variation in the temperature.

### •    Accounts/Finance

This is another application of standard deviation and in this department, this sample means calculator helps know the risk for the fluctuations in the prices of any organization’s assets.
The calculator, if used correctly, will let the company know the risk of the output of the investment, and this way, the chances of risk are less.
Taking an example of the assets, we can compare two products:
•    Product A
•    Product B
Now, if product A is giving a return on investment of 4% while the deviation for the same product is 10% against the other product, then product A is safer for investment.

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