# Standard Deviation calculator

Ungrouped data refers to a set of individual, distinct data points that have not been organized or grouped in any way. Each data point represents a single observation or measurement of a particular variable. For example if we were collecting data on the heights of students in a classroom

If you're analyzing data, the standard deviation is a common statistical measure that tells you how much the data varies from the mean. To make your calculations easier, we've created a standard deviation calculator that you can use right here on our website. In this guide, we'll show you how to use it step-by-step.

#### Step 1: Enter your data

The first step is to input your data into the calculator in order to calculate standard deviation of ungrouped data. input data by separated by commas. For example if you want to calculate the standard deviation of the numbers 2, 4, 6, 8, and 10, you would enter "2, 4, 6, 8, 10" into the input field.

#### Step 2: Click "Calculate"

Once you have entered your data click the Calculate button which will then perform the necessary computation to determine the standard deviation of ungrouped data. Therefore at this point the result will display below indicating the value for standard deviation.

##### The formula for calculating the standard deviation is:

$\sqrt{\frac{\sum _{i=1}^{n}(x-\stackrel{\u203e}{x}){2}^{-1}}{n-1}}$

Where:

- n is the number of data points
- xi is the ith data point
- x̄ is the mean of the data

This formula above can be used to manually calculate the standard deviation of your data but our calculator takes care of the computation for you

In conclusion our standard deviation calculator is a quick and easy way to compute the important statistical measure for your data. Use it to gain insights into your data and make informed decisions based on your results.