How to Calculate Average? Complete Step-by-Step Guide

Learn how to calculate arithmetic and weighted averages. Simple formulas and examples for everyone.

Calculating averages is one of the most important mathematical skills. Whether you're calculating grade averages, sports scores, or financial data, the principle is always the same.

Arithmetic Average Formula

The arithmetic average is the sum of all values divided by their count. It's the simplest and most commonly used type of average.

Average = (sum of all values) / (number of values)

How to Calculate Average Step by Step?

Calculating an average is simple and requires only three steps:

  1. Add up all the values (sum them together)
  2. Count how many values you have
  3. Divide the sum by the number of values

Example of Calculating Average

Let's say you want to calculate the average of five grades: 5, 4, 3, 5, 4.

Sum: 5 + 4 + 3 + 5 + 4 = 21. Number of grades: 5. Average: 21 / 5 = 4.2

Types of Averages

Besides the arithmetic average, there's also the weighted average (when some values are more important), median (middle value), and mode (most frequent value). Weighted average is particularly useful when calculating grade averages, where tests carry more weight than quizzes.