# Sum of Squares Calculator

Performing **addition** is not difficult **unless** you have to find the addition of **squares** of the given **numbers**. It will be difficult because you **need** to find the **squares** of the numbers first and then **perform** the addition of the **resultant** numbers. Sometimes, students make mistakes because they have to **perform** two activities **simultaneously**.

If you also **belong** to that group of **students**, you can use the **sum of squares calculator**. This online maths calculator has been designed for finding **squares** and then performing the **addition** of those squares. The **entire** process will take a **few** seconds and you will not need to do anything in **addition** to data insertion. **Scroll** down to read about this online calculator.

**Table of Contents**

## What is the sum of squares in Mathematics?

he **sum** of squares is the **final** answer that you will get after **squaring** the numbers and then the **addition** of their squares. In simple **words**, if you have three different **numbers**, you find their squares and then **add** them to get the final **answer**.

This **term** can also be **found** using a statistical **approach**. But it has a **completely** different scope and **uses** in this field as **well** as the answer you will **get** at the end will not match with an **algebraic answer**. It relates to standard deviation and is **used** in problems related to measuring **central** tendency.

## How to find the sum of squares?

As mentioned **earlier**, this **term** is used in statistics and **mathematics** both but for different **purposes**. So, there are two methods and **formulas** through which you can find the **sum** of squares.

**Statistical Method**

If you are looking to find the sum of squares in the Statistical field, you need to use the following formula.

Sum of Squares = (^{x}i - x)^{-2}

Here,

- “
^{x}i” shows the ith term of the sequence - “x” represents the average of all numbers given in the sequence.

**Algebraic Sum**

To find the **sum** of squares and have the **algebraic** answer in the end, we need to **find** the squares of all given numbers and then **add** them. For your **understanding**, we have solved an example here.

**Example 1:**

Find the sum of squares 3, 4, and 7.

**Solution:**

First of all, we have to find the square of these numbers separately.

Sum of 3 = 9

Sum of 4 = 16

Sum of 7 = 49

Now, we have to add all these squares.

Sum of Squares = 9 + 16 + 49

= 74

### How to use the sum of squares calculator?

Doesn’t **matter** whether you need a statistical **sum** of squares or an **algebraic** sum of squares, you can **use** this online tool by Calculator’s Bag. This calculator will **perform** both calculations simultaneously and **show** you the final answer within seconds. Follow these steps to find this answer.

- Write all numbers separated by commas in the input box
- This calculator will automatically show you the answer to the sum of squares

**PS: **You can **add** as many numbers in the **input** box as you want. This **tool** is responsive and keeps **showing** the final answer quickly just after your addition or removal of a number.

### FAQ | Sum of Squares Calculator

**What is the fastest way to find the sum of squares?**

The fastest way to find the sum of squares is using this online calculator by Calculator’s Bag.

**Is the sum of squares the same as the variance? **

Yes, variance is another name for the sum of squares in Statistics.

**What is the sum of squares and standard deviation?**

The sum of squares is actually the square of the standard deviation.

**How do you find the sum of squares between groups? **

First of all, we have to find the average of all groups and then subtract the mean from each data point using the above-mentioned formula. After that, you will get the standard deviation that you have to square for finding the sum of squares of the given data values.

**Is there a formula for the sum of two squares? **

Yes, we can write the general formula for the sum of two squares of numbers “a” and “b” as follows,

Sum of squares = (a^{2}+ b^{2})