Sum of Squares Calculator
Enter the numbers in a data set to calculate the sum of squares using the calculator below.
|Sum of Squares:|
Steps to Solve
Step One: Find the Mean
Mean (x̄) = sum / count
Step Two: Find the Sum of Squares
Sum of Squares = ∑(xi - x̄)²
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How to Calculate the Sum of Squares
The sum of squares is a statistical measure of the deviation from the mean for numbers in a data set. The sum of squares is equal to the sum of the squares of the differences from the mean for each number in the set.
Sum of Squares Formula
The formula to calculate the sum of squares is:
SS = ∑(xi – x̄)²
Thus, the sum of squares SS is equal to the sum of each number in the set xi minus the mean x̄ squared.
The first step to finding the sum of squares is to find the mean. The mean is equal to the sum of all numbers in the set divided by the count of numbers in the set.
x̄ = sum / count
The mean x̄ is equal to the sum of each number in the set divided by the count.
Once you have found the mean, substitute that value in the sum of squares formula above.