Arithmetic & Basics
Basic

Average (Mean)

Add all values and divide by how many there are.

Formula

average=sum of valuesnumber of values\text{average} = \frac{\text{sum of values}}{\text{number of values}}

Variables

sumTotal of all values
nHow many values

Example

(4+8+6)/3 = 6

How it works

The average, or mean, gives one representative value for a group of numbers by sharing the total equally across all the items. It works because if you add the same amount to each value, you can still get the same total; dividing the total by the number of values tells you what each value would be if they were evenly spread out. This makes the mean useful for summarizing a set of data with a single number.

When to use it

Use this when you want to find a typical value from a list of measurements or scores, such as test marks, temperatures, or times. It is also helpful when comparing two groups that may have different individual values but a similar overall level.

Worked example, step by step

Find the average of 10, 15, 20, and 25. Step 1: Add the values: 10 + 15 + 20 + 25 = 70 Step 2: Count how many values there are: 4 Step 3: Divide the total by the count: 70 ÷ 4 = 17.5 Average = 17.5

Common mistakes to avoid

  • Forgetting to divide by the number of values after adding
  • Counting values twice or leaving one out
  • Using the median or mode instead of the mean

Did You Know?

The average can be a value that no member of the data set actually has — the "average" family famously has 2.4 children.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026