Sum of Squares of Integers

The square is multiply the number itself.  The integer is one type of number and it is defined both positive and negative numbers. The sum of squares is add the squares of integers and it is used in statistics. Now we are going to see about sum of squares of integers.
Explanation for Sum of Squares of Integers

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Sum of squares in statistics:

The two types of statistics are permeate the sum of squares of integers. If we measure the degrees of freedom means the variance is calculated. In statistics, the sum of squares are expressed as

Sum of squares of positive integers:

The positive integers are represented as perfect numbers and its squares are called as perfect squares.For example, 62 + 22  = 40.

Sum of squares of negative integers:

In square method, the negative integers give the perfect squares. Because the symbol is eliminated in squares. For example, ( -1 )2 + ( -3 )2 = 10.

In sum of squares, the odd and even integers also included and the consecutive numbers also calculated.

More about Sum of Squares of Integers

Examples for sum of squares of integers:

Problem 1: Find out the squares of first two even integers.

Answer:

The first two even integers are 2 and 4.

The squares of first two even integers are 22 = 4 and 42 = 16.

The sum of squares = 4 + 16.

Therefore, the sum of squares of first two even numbers is 20.

Problem 2: Find out the sum of squares of -5 and -7.

Answer:

The given negative values are -5 and -7.

The squares of these negative numbers are (-5)2 = 25 and  (-7)2 = 49.

The sum of squares = 25 + 49.

Therefore, the sum of squares of given negative integers is 74.



I am planning to write more post on Graphing Compound Inequalities and Prime Factors of 45. Keep checking my blog.


Exercise problems for sum of squares of integers:

1. Calculate the sum of squares of odd integers 3 and 5.

Answer:

The sum of squares of odd integers = 34.

2. Find out the sum of squares of negative integers -3 and -8.

Answer:

The sum of  squares of negative integers =  73.