Sum of Squares Calculator

✖Variance of Data is the measure of how much the values in a data set vary.ⓘ Variance of Data [σ²]			+10% -10%
✖Sample Size in Sum of Square is the number of observations or data points collected in a study or experiment.ⓘ Sample Size in Sum of Square [N_(SS)]			+10% -10%

✖Sum of Squares is the sum of the squared deviations of individual data points from the mean of the data set.ⓘ Sum of Squares [SS]

⎘ Copy

👎

Formula

✖

Sum of Squares

Formula

`"SS" = "σ"^{"2"}*"N"_{"(SS)"}`

Example

`"240"="16"*"15"`

Calculator

LaTeX

Reset

👍

Download Errors, Sum of Squares, Degrees of Freedom and Hypothesis Testing Formulas PDF

Sum of Squares Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sum of Squares = Variance of Data*Sample Size in Sum of Square
SS = σ²*N_(SS)
This formula uses 3 Variables

Variables Used

Sum of Squares - Sum of Squares is the sum of the squared deviations of individual data points from the mean of the data set.
Variance of Data - Variance of Data is the measure of how much the values in a data set vary.
Sample Size in Sum of Square - Sample Size in Sum of Square is the number of observations or data points collected in a study or experiment.

STEP 1: Convert Input(s) to Base Unit

Variance of Data: 16 --> No Conversion Required
Sample Size in Sum of Square: 15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SS = σ²*N_(SS) --> 16*15

Evaluating ... ...

SS = 240

STEP 3: Convert Result to Output's Unit

240 --> No Conversion Required

FINAL ANSWER

240 <-- Sum of Squares

(Calculation completed in 00.005 seconds)

You are here -

Home » Math » Statistics » Errors, Sum of Squares, Degrees of Freedom and Hypothesis Testing » Sum of Squares » Sum of Squares

Credits

Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has created this Calculator and 300+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 3 Sum of Squares Calculators

Residual Sum of Squares

Go Residual Sum of Squares = (Residual Standard Error^2)*Degrees of Freedom in Sum of Squares

Residual Sum of Squares given Residual Standard Error

Go Residual Sum of Squares = (Residual Standard Error^2)*(Sample Size in Sum of Square-1)

Sum of Squares

Go Sum of Squares = Variance of Data*Sample Size in Sum of Square

Sum of Squares Formula

Sum of Squares = Variance of Data*Sample Size in Sum of Square
SS = σ²*N_(SS)

What is the importance of Sum of Squares of data values in Statistics?

In Statistics, the calculation of sum of squares has a great importance in both basic level and advanced level. For the basic measures of dispersions like variance, standard deviation, standard error, etc the calculations will be very hectic if we follow the summation from definition of them. But those summation can be simplified to another form which involves the sum of squares of the data points. Then the calculations will be easier and by squaring each value we can avoid the issues of negative signs when some data values are negative.

How to Calculate Sum of Squares?

Sum of Squares calculator uses Sum of Squares = Variance of Data*Sample Size in Sum of Square to calculate the Sum of Squares, Sum of Squares formula is defined as the sum of the squared deviations of individual data points from the mean of the data set. Sum of Squares is denoted by SS symbol.

How to calculate Sum of Squares using this online calculator? To use this online calculator for Sum of Squares, enter Variance of Data (σ²) & Sample Size in Sum of Square (N_(SS)) and hit the calculate button. Here is how the Sum of Squares calculation can be explained with given input values -> 6 = 16*15.

FAQ

What is Sum of Squares?

Sum of Squares formula is defined as the sum of the squared deviations of individual data points from the mean of the data set and is represented as SS = σ²*N_(SS) or Sum of Squares = Variance of Data*Sample Size in Sum of Square. Variance of Data is the measure of how much the values in a data set vary & Sample Size in Sum of Square is the number of observations or data points collected in a study or experiment.

How to calculate Sum of Squares?

Sum of Squares formula is defined as the sum of the squared deviations of individual data points from the mean of the data set is calculated using Sum of Squares = Variance of Data*Sample Size in Sum of Square. To calculate Sum of Squares, you need Variance of Data (σ²) & Sample Size in Sum of Square (N_(SS)). With our tool, you need to enter the respective value for Variance of Data & Sample Size in Sum of Square and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search