How do you find the average of a set of integers?

To find the average of a set of integers, you add up all the numbers and divide by the total number of integers in the set. This average is also known as the mean in statistics.

Steps to Calculate the Average

Here’s a breakdown of how to calculate the average:

1. Sum the Integers: Add all the integers together.
2. Count the Integers: Determine the number of integers in the set.
3. Divide the Sum by the Count: Divide the sum obtained in step 1 by the count obtained in step 2. The result is the average (or mean) of the set.

Example

Let’s say you have the following set of integers: 5, 10, 15, 20, 25

1. Sum: 5 + 10 + 15 + 20 + 25 = 75
2. Count: There are 5 integers in the set.
3. Divide: 75 / 5 = 15

Therefore, the average of the set {5, 10, 15, 20, 25} is 15.

Formula

You can represent this process with the following formula:

Average = (Sum of Integers) / (Number of Integers)

Practical Application

This calculation is useful in many real-world scenarios, such as:

• Calculating the average test score of students in a class.
• Determining the average monthly income.
• Finding the average temperature over a period of time.