Average Calculator
Calculate mean, median, mode, range, and sum for up to 10 numbers.
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How to use this calculator
- 1
Type or paste your numbers, separated by commas, spaces or new lines.
- 2
The mean, median, mode, sum, count and range update as you type.
- 3
Anything that is not a number is skipped and reported in an Ignored entries row.
Frequently asked questions
How do I enter my numbers?
Type or paste them into the one box, separated by commas, semicolons, spaces or line breaks. A column copied from a spreadsheet works. There is no fixed limit of five or ten values. The default list, 10, 20, 30, 40 and 50, gives a mean of 30.
What happens to entries that are not numbers?
They are skipped and counted in an "Ignored entries" row, so "4, x, 8, , 12" yields a mean of 8 from three numbers and reports one ignored item. If nothing readable remains the tool shows "Enter at least one number".
Why does 1,000 give the wrong answer?
The comma is a separator, so 1,000 is read as the two numbers 1 and 0, giving a count of 2 and a mean of 0.5. Type thousands without separators: 1000. Numbers using a decimal comma (3,5) are misread the same way, so use a decimal point.
How are the median and mode found for an even count or ties?
With an even count the median is the average of the two middle values, so 1, 2, 3, 4 has a median of 2.5. The mode lists every value tied for the highest frequency: 3, 7, 7, 9, 9, 12 shows "7, 9". If no value repeats the row says "No mode".
Why is the mean sometimes shown with many decimals?
Results are rounded to 10 decimal places with trailing zeros trimmed. A mean of 85, 90 and 78 appears as 84.3333333333. Round it yourself to whatever precision the context needs, such as 84.3. This rounding also keeps float noise out of sums such as 0.1 + 0.2 + 0.3, which displays as 0.6.
Can it compute a weighted average?
No. Every entry counts equally. For a weighted average, such as course grades with different credit weights, multiply each value by its weight, add them up and divide by the total weight. Repeating a value in the list also acts as a weight of 2, 3 and so on.
Does it give standard deviation or quartiles?
No. It reports mean, median, mode, sum, count, range and minimum and maximum. For the spread beyond range, use a variance or standard deviation tool on the same data.
Average calculator — mean, median, mode and range from a pasted list
What each statistic tells you
The mean adds the values and divides by how many there are. The median is the middle value after sorting. The mode is the most frequent. Range is largest minus smallest. They answer different questions, and the gap between mean and median is a quick sign of skew. Which one to quote depends on the question: the mean uses every value and is the right choice for totals, while the median is unaffected by how extreme the largest value is.
Worked example: an outlier pulls the mean
For the test scores 55, 60, 65, 70 and 95 the calculator returns a mean of 69, a median of 65, no mode and a range of 40. One high score drags the mean four points above the median. With 1, 2, 3, 4 and 100 the effect is dramatic: the mean is 22 but the median is 3, which describes four of the five values far better. The mean is not wrong here, but it answers a different question, namely what each value would be if the total were shared equally.
Worked example: two modes
The list 3, 7, 7, 9, 9, 12 has a sum of 47 over six values, so the mean is 7.8333333333. The median is 8, the average of the middle pair 7 and 9, and the mode row shows 7, 9 because both appear twice. Calling this data "bimodal" is more honest than quoting a single mode. Spreadsheets often show only one of the tied values, so check how your software handles ties before comparing results.
Same mean, different data
The first two lists below share a mean of 50 yet describe very different data; the third is the test-score set from above.
| Data | Mean | Median | Mode | Range |
|---|---|---|---|---|
| 50, 50, 50, 50 | 50 | 50 | 50 | 0 |
| 10, 20, 80, 90 | 50 | 50 | No mode | 80 |
| 55, 60, 65, 70, 95 | 69 | 65 | No mode | 40 |
Choosing the right average
Use the mean for roughly symmetric data without extreme values and the median when a few observations are far from the rest, as with prices or wages. Use the mode for categories or repeated whole values, and always report the range or another spread measure with it. A range of 0 means every value is identical, as in the first row of the table, while a large range relative to the mean signals that the average hides a lot of variation.
Learn more from an authoritative source:
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Results are estimates for informational purposes only and do not constitute professional financial, medical, legal, or technical advice. Read full disclaimer →