Sum of Squares Calculator

Enter the numbers in a data set to calculate the sum of squares using the calculator below.

Separate numbers using a comma (,)

Results:

Sum of Squares:
 
Count:
 
Mean:
 

Steps to Solve

Step One: Find the Mean

Mean (x̄) = sumcount

Step Two: Find the Sum of Squares

Sum of Squares = ∑(xi - x̄)²



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.

The sum of squares is often used to find the variance or standard deviation in a data 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 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 = sumcount

The mean 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.