- vCalc Catalog Home
- Sum of Squares

# Sum of Squares

vCalc Reviewed

Equation / Last modified by Administrator on 2018/10/07 07:08
`sum ("Squares") = `

Tags:

Rating

ID

vCalc.Sum of Squares

UUID

c480e4cb-4a77-11e4-a9fb-bc764e2038f2

The **Sum of Squares** calculator computes the sum of the squared values of a set of comma separated number values (**x**).

**INSTRUCTIONS:** Enter the following:

- (
**x**) This is the set of comma separated numeric values (e.g. 4,-1.2,8,9 )

**Sum of Squares(s):** The calculator returns the sum of the squares.

This function is a prominent feature with other statistical functions in the College Level Statistics Calculator (Stat Calc).

#### The Math

The formula for sum of the squares is as follows:

- `s = sum_(x=1)^n x^2`

where:

- s is the square of the sum
- n is the number of observations

#### Related Statistics Calculators

- Sort a list of numeric values
- Create a random subset of the a list of numeric values
- Frequency distribution of data.
- Compute the z-score of a value.
**count**- this is the number (n) of values in a set.**min**- this is the minimum observed value**max**- this is the maximum value in the set.**sum (Σx)**- this is the sum of the values in a set.**Σx²**- this is the sum of the squared values**(Σx)²**- this is the square of the summed values.**mean**- the is the mean (average) of the observed values**median**- the middle ordered value**mode**- the most recurring observation**mid point**- this is the mid point of the observation range.**range**- this is the difference between the max and the min.**rand**- this randomly returns one of the observations in the list**sort up**- this returns a comma separated list of the observations in ascending order.**sort down**- this returns a comma separated list of the observations in descending order.**var-pop**- this is the population variance of the values**sd-pop**- this is the population standard deviation of the values**var-sample**- this is the sample variance of the values**sd-sample**- this is the sample standard deviation of the values- (SDOM) - standard deviation of mean

This equation,

**Sum of Squares**, references 1 equation/constant.**Equations and Constants **

This equation,

**Sum of Squares**, is used in 1 calculator.**Calculators**