Question

How is deviation calculated?

Answer 1

Definition of deviation :

The mean deviation is defined as a statistical measure that is used to calculate the average deviation from the mean value of the given data set. The mean deviation of the data values can be easily calculated using the below procedure.

Step 1: Find the mean value for the given data values

Step 2: Now, subtract the mean value from each of the data values given (Note: Ignore the minus symbol)

Step 3: Now, find the mean of those values obtained in step 2.

Formula to calculate mean Deviation :

The formula to calculate the mean deviation for the given data set is given below.

Mean Deviation $=\frac{\mathbf{}\mathbf{[}\mathbf{\Sigma }\mathbf{}\mathbf{|}\mathbf{X}\mathbf{}\mathbf{–}\mathbf{}\mathbf{\mu }\mathbf{\left|}\mathbf{\right]}}{\mathbf{N}}$

Here,

$\Sigma$ represents the addition of values

$X$ represents each value in the data set

$\mu$ represents the mean of the data set

$N$ represents the number of data values.

Hence the mean deviation is calculated by using the formula $=\frac{\mathbf{}\mathbf{[}\mathbf{\Sigma }\mathbf{}\mathbf{|}\mathbf{X}\mathbf{}\mathbf{–}\mathbf{}\mathbf{\mu }\mathbf{\left|}\mathbf{\right]}}{\mathbf{N}}$