# Sum of Squared Deviations Calculator

The sum of squared deviations, denoted as (X-Xbar)^{2} and also referred as sum of squares. It is defined as the sum of squared differences from the mean. The sum of squares can be used to find variance. This simple online (X-Xbar)^{2} calculator helps you find the sum of squared deviation for the given set of numbers. Enter a series of positive or negative integers separated by comma in the below Sum of Squared Deviations Calculator and click calculate to get the equivalent result.

The sum of squared deviations, denoted as (X-Xbar)^{2} and also referred as sum of squares. It is defined as the sum of squared differences from the mean. The sum of squares can be used to find variance. This simple online (X-Xbar)^{2} calculator helps you find the sum of squared deviation for the given set of numbers. Enter a series of positive or negative integers separated by comma in the below Sum of Squared Deviations Calculator and click calculate to get the equivalent result.

Code to add this calci to your website

#### Formula:

Sum of Squared Deviation (SS) = ∑ (X_{i} - X̄)^{2}
**Where,**
X = Statistical Data
X̄ = Statistical Mean
### Example:

Find the Sum of Squared Deviation for the Statistical Data such as: 2,4,6,8,10

#### Solution:

Mean = (2+4+6+8+10) / 5

= 30 / 5

= 6

Sum of Squared Deviation (SS) = ∑ (X_{i} - X̄)^{2}

= (2 - 6)^{2} = -4^{2} = 16

= (4 - 6)^{2} = -2^{2} = 4

= (6 - 6)^{2} = 0

= (8 - 6)^{2} = 2^{2} = 4

= (10 - 6)^{2} = 4^{2} = 16

16 + 4 + 0 + 4 + 16 = 40