Total sum of square is a statistical method which evaluates the sum of the squared difference between the actual X and the mean of X, from the overall mean. This version is used for engineering and discrete mathematics. It is a measure of the total variability of the dataset. This calculator examines a set of numbers and calculates the sum of the squares. Either way, the calculator … Our sum of squares calculator is a very popular statistics calculator. We provide two versions: The first is the statistical version, which is the squared deviation score for that sample. Then, use another column (next to the previous one) that labeled "(X - Xbar)^2", where you square the cells from the column to the left. You probably should put your data in a column and label that column as "X", then compute the average for the sample, and create of column labeled "X - Xbar" which computes the value of a corresponding cell minus the average. Enter Numbers: Sum of Squares of All Numbers: Total Numbers: Home. Side note: There is another notation for the SST. Sum of squares calculator (SST) For sum of squares (SST) calculation, please enter numerical data separated with comma (or space, tab, semicolon, or newline). Finally, … The mean of the sum of squares (SS) is the variance of a set of scores, and the square root of the variance is its standard deviation. It can be determined using the following formula: Where: y i – the value in a sample; ȳ – the mean value of a sample . Sum of Squares Calculator. Sum of squares is used in statistics to describe the amount of variation in a population or sample of observations. Essentially, the total sum of squares quantifies the total variation in a sample. This is useful when you're checking regression calculations and other statistical operations. Total Sum of Square (TSS or SST) = Σ (X i - X̄) where, X = Statistical Data X̄ = Statistical Mean Calculation of Total Sum of Square is made easier. It is defined as being the sum, over all observations, of the differences of each observation from the overall mean. 2. How to calculate sum of squares in Excel? The sum of squares total, denoted SST, is the squared differences between the observed dependent variable and its mean. To use this calculator, simply type in your list of inputs separated by commas (ie 2,5,8,10,12,18). Formula: Total Sum of Square TSS or SST = Σ (X i - X̄) This simple calculator uses the computational formula SS = Σ X 2 - ((Σ X ) 2 / N ) - to calculate the sum of squares for a single set of scores. For example: 113.8 300.8 392.3 -683.5 286.8 -670.6 550.2 884.1 368.5 109.6 -921.6 796.1 483.6 The second version is algebraic - we take the numbers and square them. You can think of this as the dispersion of the observed variables around the mean – much like the variance in descriptive statistics.