# Standard Deviation Calculator

In statistics, the word standard Deviation calculator is one of the most critical topics. Statistics help us know about numbers and help calculate organized data. We always collect, organize, calculate, analyze and present the data. ## Key points for Standard Deviation Calculator

1. Standard Deviation mainly shows two types of dispersion: high dispersion and Low dispersion.
2. Standard Deviation is represented by σ or SD.
3. We can calculate Standard Deviation with the help of spreadsheets and graphic calculators.
• Count
• Mean
• Standard Deviation (SD)
• Population Standard Deviation (PSD)
• Variance (SD)
• Variance (PSD)

## What is the Standard Deviation

Definition: Standard Deviation is the measurement of the spreading of numbers in the data set from its mean.

When the data spread or scattered around the mean or average value, we get higher and low dispersion. This scattering of data tells us about Standard Deviation. The standard deviation is denoted by the Greek letter sigmaσ. And we write the abbreviation SD to indicate Standard Deviation. Or we can say Standard Deviation tells us about the change in data. What is High dispersion?

When we observe change or variability in the data, it represents High dispersion.

What is Low dispersion?

When data is very near or close to the mean, it shows us high dispersion in Standard Deviation.

Standard Deviation Formula

There are basically two formulas for calculating Standard Deviation one is for a sample, and the other is for the population.

## The standard Deviation Formula for the population.

σ = It represents the Standard Deviation.
= It represents the Summation of data points and mean.
X = It represents the Data Point
= It represents the Mean
= It represents the number of data points.

## The standard Deviation Formula for the sample.

σ = It represents the Standard Deviation.
= It represents the Summation of data points and mean.
X = It represents the Data Point
= It represents the Mean
= It represents the number of data points.

## Calculation of Standard Deviation

With the easy steps, we will learn to calculate the Standard Deviation. It is not so tough when it is calculated by following easy steps. Learning will become fun if we do the calculations in these ways. So, let’s begin with the calculation process.

Step 1: First, we calculate the Mean, X̄ or X-bar.

Step 2: Subtract the Mean from the data point.

Step 3: Square the difference.

Step 4: Calculate the square difference mean.

Step 5: Square root.

And hence we got the standard Deviation.

## Conclusion

This calculator will help in calculating the correct answer of the Standard Deviation Calculator, keep learning and keep practising. “Happy Learning To You”.