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.

Core formula
Mean = sum of values ÷ number of values

Average calculator

Free browser tool
Separate values with commas, line breaks, semicolons, or spaces. Negative numbers and decimals are supported.
Choose how many decimal places to show in the result cards.
The calculation is unchanged; sorting only makes the result preview easier to inspect.

Your numbers stay in this browser. The calculator does not send the list to a server or save it as an account record.

Arithmetic mean
21.67
Example result

The six example values add to 130. Dividing 130 by 6 gives an arithmetic mean of 21.67 when rounded to two decimal places.

121820252530
Count
6

How many numbers are in the list.

Sum
130

The total after adding every value.

Median
22.50

The middle value after sorting the list.

Mode
25

The value or values that occur most often.

Range
18

Maximum minus minimum.

Minimum
12

The smallest number in the list.

Maximum
30

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

  1. Add all six values to get a sum of 130.
  2. Count the values: there are 6 numbers.
  3. Divide the sum by the count: 130 ÷ 6 = 21.6667.
  4. 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.

1

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.

2

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.

3

Calculate

Select Calculate average. The result panel shows the mean along with the median, mode, range, minimum, maximum, sum, and count.

4

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.

FormatExample inputWhat the tool does
Comma-separated10, 12, 15, 18Calculates four numeric values.
One value per line10 12 15 18Useful for pasted spreadsheet columns.
Semicolon-separated10; 12; 15; 18Treats semicolons like commas.
Negative and decimal-2.5, 0, 4.75Preserves 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.

ResultMeaningUseful when
MeanThe total divided by the number of values.Every value has equal weight and the list is fairly balanced.
MedianThe middle after sorting, or the average of two middle values.Outliers or skew make the mean less representative.
ModeThe most frequently repeated value or values.You want the most common response or category.
RangeThe 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.

Add all the numbers, count how many numbers there are, and divide the sum by the count. For 4, 6, and 8, the average is (4 + 6 + 8) ÷ 3 = 6.

In everyday calculator questions, average usually means the arithmetic mean: the sum divided by the count. Statistics also uses median and mode as different measures of the center, so check which one a report requires.

The tool calculates an ordinary mean where each entered number has equal weight. If categories or observations have different weights, use the weighted-average formula shown on the page or use a dedicated weighted grade or finance model.

The mean uses every value in the sum. The median sorts the list and chooses the middle. A large outlier can change the mean substantially while leaving the median closer to the typical value.

If every value appears only once, there is no mode. If two or more values tie for the highest frequency, the calculator reports all of the tied modes instead of choosing one arbitrarily.

Yes. Paste a single column or a short row into the input box. Line breaks, commas, and semicolons are accepted. Remove headers, currency symbols, and notes before calculating.

It depends on the question. Mean salary reflects total pay divided by the number of people, while median salary shows the middle person after sorting. When a few high salaries skew the group, report the median as well.

This browser tool accepts up to 1,000 finite numeric values per calculation. Larger datasets are better handled in a spreadsheet or statistics package where you can document missing values, filters, and grouping rules.

Rounding changes the displayed result, not the underlying calculation. The calculator sums and divides using the entered numbers, then applies your selected decimal-place setting when it renders the cards.

Ready to find the average?

Paste your numbers, choose the display precision, and compare the mean with the median before you make a decision.