Average Calculator: Find the Mean, Median & Mode
Paste a list of numbers to calculate the arithmetic mean, median, mode, sum, range, minimum, and maximum in one clear result. Use it for homework, test scores, measurements, sales figures, or any small dataset.
Average calculator
Free browser toolYour numbers stay in this browser. The calculator does not send the list to a server or save it as an account record.
The six example values add to 130. Dividing 130 by 6 gives an arithmetic mean of 21.67 when rounded to two decimal places.
How many numbers are in the list.
The total after adding every value.
The middle value after sorting the list.
The value or values that occur most often.
Maximum minus minimum.
The smallest number in the list.
The largest number in the list.
Formula used for the average
(12 + 18 + 20 + 25 + 25 + 30) ÷ 6 = 130 ÷ 6 = 21.67
How this result was calculated
- Add all six values to get a sum of 130.
- Count the values: there are 6 numbers.
- Divide the sum by the count: 130 ÷ 6 = 21.6667.
- Round the displayed mean to two decimal places: 21.67.
Average calculator examples
Try a dataset that looks like the numbers you are working with, then replace it with your own list.
Test scores
Compare six scores: 72, 84, 84, 91, 95, and 98. The repeated 84 creates a clear mode.
Monthly sales
Review a simple sales series: 1200, 1350, 1280, 1420, and 1500. The mean gives a baseline month.
Mixed measurements
Paste measurements on separate lines: 4.8, 5.1, 4.9, 5.0, and 5.2. Decimals are accepted.
How to use this average calculator
The tool accepts a small list of numbers and keeps the calculation visible so you can check the inputs before using the answer.
Paste the list
Enter at least two values in the input box. Commas, spaces, semicolons, and line breaks work, so you can paste from a note or spreadsheet.
Choose rounding
Select whole numbers or one to three decimal places. Rounding changes only how the answer is displayed, not the underlying sum or count.
Calculate
Select Calculate average. The result panel shows the mean along with the median, mode, range, minimum, maximum, sum, and count.
Read the context
Compare mean and median before drawing a conclusion. A large gap can signal an outlier or a skewed group that deserves a closer look.
Accepted average calculator input formats
You do not need to reformat a short list before pasting it. The calculator treats commas, semicolons, and line breaks as separators. A space-separated list is also supported when the values do not contain other text. Remove currency symbols, percent signs, labels, and units before calculating; those belong in your notes, not in the numeric field.
It accepts up to 1,000 finite values and rejects values outside a practical numeric boundary.
| Format | Example input | What the tool does |
|---|---|---|
| Comma-separated | 10, 12, 15, 18 | Calculates four numeric values. |
| One value per line | 10 12 15 18 | Useful for pasted spreadsheet columns. |
| Semicolon-separated | 10; 12; 15; 18 | Treats semicolons like commas. |
| Negative and decimal | -2.5, 0, 4.75 | Preserves the sign and decimal value. |
Average, mean, median, and mode formulas
The calculator reports several summaries because the word average can describe more than one useful view of a dataset.
Arithmetic mean
mean = (x₁ + x₂ + … + xₙ) ÷ n
Add every value and divide by the count. The mean uses every number, so unusually high or low values can pull it away from the typical observation.
Median
sort values, then choose the middle value
With an odd count there is one middle number. With an even count, average the two middle numbers. The median is often more stable when outliers exist.
Mode
mode = value with the highest frequency
A dataset can have one mode, multiple modes, or no mode when every value appears only once. The calculator reports all tied modes when appropriate.
Weighted average
weighted mean = Σ(value × weight) ÷ Σ(weights)
Use a weighted average when observations contribute unequally, such as course categories or portfolio holdings. A plain mean treats every value as equally important.
How to read an average calculator result
The mean is useful when every observation should count equally and the list is reasonably balanced. For example, the average of several similarly sized test scores can summarize overall performance. It is also easy to reproduce: check the displayed sum, count, and formula line, then divide the sum by the count yourself.
The median answers a slightly different question: what value sits in the middle after sorting? If one salary, sale, or measurement is much larger than the rest, the median may describe a typical case better than the mean. The calculator shows both so you can notice that difference rather than reporting one summary without context.
The mode is about repetition, not central position. It can be useful for common sizes or the most frequent response. Range, minimum, and maximum add a quick view of spread but do not replace a full statistical analysis for large datasets.
| Result | Meaning | Useful when |
|---|---|---|
| Mean | The total divided by the number of values. | Every value has equal weight and the list is fairly balanced. |
| Median | The middle after sorting, or the average of two middle values. | Outliers or skew make the mean less representative. |
| Mode | The most frequently repeated value or values. | You want the most common response or category. |
| Range | The maximum minus the minimum. | You need a quick measure of the full spread. |
Average calculator limits and edge cases
A clean input produces a useful answer. These boundaries explain what the calculator accepts and when another method may be better.
One value
A single value is its own mean, but this tool asks for at least two numbers so the result represents a comparison or dataset rather than a restatement.
Repeated values
Repeated values are valid and are counted separately. They can create a mode and influence the mean according to how many times they occur.
Negative values
Negative numbers are included in the sum just like positive numbers. Use them for changes, balances, temperatures, or differences when the sign has meaning.
Outliers
A very large or small value can move the mean. Compare it with the median and inspect the range before calling the mean typical.
Weighted data
If values have different importance, do not repeat them casually unless that matches the real data. Use a weighted average formula with explicit weights instead.
Large datasets
For thousands of rows, filters, missing-value rules, grouping, or confidence intervals, use a spreadsheet or statistics tool and document the method.
Average calculator FAQ
Common questions about finding an average, mean, median, mode, and weighted average.
Ready to find the average?
Paste your numbers, choose the display precision, and compare the mean with the median before you make a decision.