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.

(X-Xbar)2 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.

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Formula:

Sum of Squared Deviation (SS) = ∑ (Xi - 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) = ∑ (Xi - X̄)2
= (2 - 6)2 = -42 = 16
= (4 - 6)2 = -22 = 4
= (6 - 6)2 = 0
= (8 - 6)2 = 22 = 4
= (10 - 6)2 = 42 = 16
16 + 4 + 0 + 4 + 16 = 40


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