Math Calculator

Average Calculator

Paste or type a set of numbers to see the most useful summary statistics at once—mean, median, mode, range, and more.

Enter your number list

Separate values with commas, spaces, or line breaks. Decimals are supported.

Clear

About this calculator

How to use Average Calculator, plus the formulas and logic behind the results.

Tool description

The Average Calculator summarizes a list of numbers with mean, median, mode, range, sum, count, minimum, and maximum—useful for grades, measurements, and basic statistics.

How to use

  1. Enter numbers separated by commas, spaces, or line breaks.
  2. Select Calculate to compute summary statistics.
  3. Review mean, median, mode, and range in the results panel.
  4. Clear the form to start a new list.

Formulas & reference

  • Mean = sum ÷ count
  • Median = middle value after sorting (average of two middles if even count)
  • Mode = value(s) with the highest frequency (none if all appear once)
  • Range = maximum − minimum

What each statistic means

  • Mean: sum divided by count
  • Median: middle value after sorting
  • Mode: most frequently occurring value(s)
  • Range: maximum minus minimum

Calculation logic

Valid numeric tokens are parsed from the input text, sorted for median and range, and counted for mode. Non-numeric tokens are ignored. An empty list returns a validation error.

If every value appears only once, there is no mode. For even-sized lists, the median is the average of the two middle values.

Average Calculator FAQ

Common questions about this calculator and how to use the results.

What is an average calculator?

An average calculator is an online tool that calculates the average, or arithmetic mean, of a group of numbers. It adds all the values together and divides the total by the number of values.

How do you calculate an average?

To calculate an average, add all the numbers together and divide the sum by the total number of values. For example, the average of 10, 20, and 30 is (10 + 20 + 30) ÷ 3 = 20.

How do you calculate the mean of a set of numbers?

The mean is calculated by adding all values in a data set and dividing the sum by the number of values. The terms "mean" and "average" are often used interchangeably when referring to the arithmetic mean.

What is the formula for calculating an average?

The basic average formula is: Average = Sum of all values ÷ Number of values. This formula can be used for test scores, measurements, prices, ages, and many other types of numerical data.

How do you calculate an average percentage?

Add the percentage values together and divide the total by the number of percentages when each percentage has equal importance. If the percentages have different weights, a weighted average should be used instead.

How do you calculate the average of multiple numbers?

Enter all the numbers into an average calculator. The calculator adds the values and divides the total by how many numbers you entered to determine the arithmetic mean.

How do you calculate a weighted average?

A weighted average gives different values different levels of importance. Multiply each value by its weight, add the results together, and divide by the sum of all weights.

What is the difference between average and mean?

In everyday mathematics, average usually refers to the arithmetic mean. However, "average" can sometimes be used more generally to describe a typical value, while mean specifically refers to a mathematical calculation.

How do you calculate an average from a set of test scores?

Add all test scores together and divide the total by the number of tests. For example, if the scores are 80, 90, and 70, the average is 80.

How do you calculate an average when numbers have different weights?

Use a weighted average when some numbers contribute more than others. Multiply each number by its corresponding weight, add those products, and divide by the total weight.

Can an average calculator calculate decimal numbers?

Yes. An average calculator can calculate the mean of whole numbers, decimals, and other numerical values. Using a calculator can also reduce errors when working with a large set of numbers.

How do you calculate the average of percentages?

If every percentage represents an equally important value, add the percentages and divide by their count. If they represent different sample sizes or weights, use a weighted average for a more accurate result.