# Average Deviation Calculator

Numbers :
Separate Numbers by comma

Mean :
Average Deviation:

Average Deviation Calculator is a free online tool that displays the average deviation for the given set of data values. CoolGyan’S online average deviation calculator tool performs the calculation faster and it displays the average deviation value in a fraction of seconds.

## How to Use the Average Deviation Calculator?

The procedure to use the average deviation calculator is as follows:

Step 1: Enter the data values/numbers separated by a comma in the input field

Step 2: Now click the button “Calculate Average Deviation” to get the conversion value

Step 3: Finally, the average deviation for the given set of data will be displayed in the output field

### What is Meant by Average Deviation?

In Statistics, there are different statistical properties used to characterize the given data values. The most common of dispersions are mean, median, mode, standard deviation, variance, and so on. Similarly, the average deviation is one of the measures, which is used to calculate the deviation from the mean value. The average deviation is also called the mean absolute deviation. To calculate the average deviation, go through the below steps:

• Find the mean value for the given set of data
• Now, find the distance between each data value and the obtained mean value (i.e.,) subtract each value from the mean)
• Finally, find the mean of the distance

The  average deviation formula is given by

$$Average\ Deviation = \frac{1}{n}\sum_{i=1}^{n}|x-\bar{x}|$$

Where

“n” is the number of values

“x” represents the given value

$$\bar{x}$$ represents the mean value