Average Calculator: Mean, Median, Mode and Range
Paste or type a list of numbers into this average calculator to get the mean (average) at once, along with the median, mode, range, sum, count, smallest and largest value and standard deviation. Separate the numbers with commas, spaces or new lines, or paste a column straight from a spreadsheet.
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Quick answer: To calculate an average, add all the numbers and divide by how many there are. For 72, 85, 90, 66, 85, 78 and 94, the sum is 570 and there are 7 numbers, so the average is 570 ÷ 7 = 81.43.
How to use the average calculator
Type or paste numbers into the box. Commas, spaces, semicolons, tabs and new lines all work as separators, and the results update as you type. Thousands separators such as 1,250 are understood, so separate a list of three-digit numbers with spaces or commas plus a space. Negative numbers and decimals work too.
Mean, median and mode explained
| Measure | What it is | Example (2, 3, 3, 8, 14) |
|---|---|---|
| Mean | The sum divided by the count; what most people call the average. | 30 ÷ 5 = 6 |
| Median | The middle value when sorted; for an even count, the average of the two middle values. | 3 |
| Mode | The value that appears most often. There can be several, or none. | 3 |
| Range | Largest minus smallest; a quick sense of spread. | 14 − 2 = 12 |
Mean or median: which should you use?
The mean uses every value, so one very large or small number pulls it a long way. The median ignores extremes. That is why house prices and incomes are usually reported as medians: a few mansions would make the mean price misleading. For test scores, temperatures and other evenly spread data, the mean works well. When the mean and median are far apart, your data is skewed.
Standard deviation
Standard deviation measures how spread out the numbers are around the mean. A small value means most numbers are close to the average; a large one means they vary widely. Use the sample figure when your numbers are a sample from a bigger group (most cases), and population when you have every value in the group.
Weighted average
When some values count more than others, such as course grades with different credits, multiply each value by its weight, add the results and divide by the total weight. For grades, our GPA calculator does this for you.
Average in Excel and Google Sheets
=AVERAGE(A1:A20)for the mean,=MEDIAN(A1:A20),=MODE.SNGL(A1:A20)=STDEV.S(A1:A20)for sample standard deviation,=STDEV.Pfor population
Working with percentages? Use the percentage calculator.
FAQ
How do I find the average of percentages?
Average them like any numbers only if each percentage is out of the same total. Otherwise, add the raw scores and totals and divide.
What if there is no mode?
If every value appears once, there is no mode, and the calculator shows None.
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