| Sum | |
| Count | |
| Median | |
| Geometric Mean | |
| Largest | |
| Smallest | |
| Range |
Calculate the average of a set of numbers quickly and easily with this free Average Calculator.
Simply type in the numbers separated by commas and get the sum, count, average, median, geometric mean, largest value, smallest value and range in one click.
What Is an Average?
The average is the single number that represents a set of numbers. It provides an idea of what is the “typical” value in a data set without reading each and every value.
In common usage the term “average” is invariably used to mean the arithmetic average, which is obtained by summing all the numbers and dividing by the number of numbers.
However, in statistics, the term “average” is an umbrella term that includes several types of averages such as mean, median, mode and geometric mean.
This calculator provides you with more than one number because each answers a slightly different question about your data.
Average (Mean) Formula
The most common way to calculate an average is:
Average = Sum of all values ÷ Count of values
For example, to find the average of 4, 8, 15, 16, and 23:
- Sum: 4 + 8 + 15 + 16 + 23 = 66
- Count: 5 values
- Average: 66 ÷ 5 = 13.2
This is exactly what the calculator on this page does automatically the moment you enter your numbers.
What Each Result on This Calculator Means
Beyond the basic average, this tool also returns several other statistics that are useful for understanding your data set more fully:
- Sum – The total of all the numbers you entered.
- Count – How many numbers you entered.
- Average (Mean) – The sum divided by the count.
- Median – The middle value when your numbers are arranged in order. If there’s an even number of values, it’s the average of the two middle numbers. The median is useful because it isn’t skewed by extremely high or low outliers the way the mean can be.
- Geometric Mean – Found by multiplying all the values together and then taking the nth root (where n is the count of values). It’s commonly used for growth rates, investment returns, and percentages, since it accounts for compounding effects better than a simple mean.
- Largest and Smallest – The maximum and minimum values in your data set.
- Range – The difference between the largest and smallest values, showing how spread out your data is. If you want a deeper measure of spread beyond the range, try the Standard Deviation Calculator, which shows how much your values typically deviate from the average.
Mean vs. Median vs. Mode: What’s the Difference?
These three terms are often used interchangeably in casual conversation, but they measure different things:
Measure | What It Shows | Best Used When |
Mean | The arithmetic average of all values | Data is fairly evenly distributed, with no extreme outliers |
Median | The middle value of an ordered data set | Data has outliers or is skewed (e.g., household income, home prices) |
Mode | The value that appears most often | You need the most common or frequent value, including non-numeric data |
This is important because of the following quick example. Imagine five employees earning $40,000, $42,000, $45,000, $48,000, and $500,000 (the company owner).
Technically correct, but not a representative figure, is the mean salary of $135,000.
A much better idea of what is average is the median, which is $45,000. That is why this calculator provides the mean and median and not just the mean.
How to Use the Average Calculator
- Type or paste your numbers into the input box, separating each one with a comma (for example: 12, 45, 67, 23, 89).
- Click Calculate.
- Instantly view the average, sum, count, median, geometric mean, largest value, smallest value, and range.
The calculator accepts whole numbers, decimals, and negative numbers, so it works for test scores, monthly expenses, temperatures, survey ratings, or any other numeric list you’re working with.
Common Uses for an Average Calculator
- Students averaging test or quiz scores to estimate a course grade pair this with our Grade Calculator to see exactly where that average leaves you.
- Teachers calculating class performance across assignments
- Employees and freelancers averaging monthly income, expenses, or hours worked
- Athletes and coaches tracking average performance metrics like times, scores, or distances
- Shoppers and budgeters working out average monthly spending across categories
- Analysts and researchers getting a quick statistical snapshot of a small data set before deeper analysis
Frequently Asked Questions
Q1: How do you calculate an average by hand?
Add up all the numbers in your data set, then divide that sum by how many numbers there are.
For example, the average of 10, 20, and 30 is (10 + 20 + 30) ÷ 3 = 20.
Q2: What’s the difference between average and mean?
In most daily and formal situations the word average or mean is used in the same way as the sum divided by the number of items, which is the same meaning.
In some instances, the word “average” is used to mean median or mode in addition to the mean, so this calculator reflects that.
Q3: Why is the geometric mean different from the regular average?
In the geometric mean, the values are multiplied together and then the root is taken.
It is more precise when dealing with data where a percentage, rate of change or growth over time is indicated, as a simple mean may be misleading.
Q4: Can I use negative numbers or decimals in this calculator?
Yes. Only positive numbers, negative numbers and decimals are allowed and must be separated by a comma.
Q5: What does “range” mean in the results?
The range is the difference between the maximum value and the minimum value of data.
It provides an indication of the dispersion of the numbers; this is helpful in interpreting the variability of the data in conjunction with the average.