AllFreeCalculator

Average Calculator

Paste or type a list of numbers — separated by commas, spaces or new lines — for mean, median, mode, range, sum and count.

Mean (average)

Median

Mode

Range

Sum

Count

Min / Max

What this average calculator does

The average calculator turns a list of numbers into a complete summary in a single step. Paste any list — separated by commas, spaces or new lines — and the tool returns the mean (the value most people call "average"), median, mode, range, sum, count and minimum/maximum. It is purpose-built for homework, quick spreadsheet checks, sports stats, marks, survey results and any other dataset you can type in.

The three averages, explained

  • Mean. Sum of values divided by count. Best for symmetric data without outliers.
  • Median. The middle value when the data is sorted. With an even count, it is the average of the two middle values. Resistant to outliers, which is why income and house-price reports often use it.
  • Mode. The most frequent value. A dataset can have one mode (unimodal), several modes (multimodal), or no mode at all when every value is unique.

Range, sum and count

Beyond the three averages, the calculator also returns the range (max − min), the sum (useful for verifying totals), the count (how many valid numbers it parsed) and the min and max themselves. Together these answer most basic descriptive-statistics questions about a single variable.

When mean and median disagree

If the mean and median are very close, the data is roughly symmetric. If they differ noticeably, the data is skewed — and the median is usually the better summary. Classic example: in a town where most people earn $40,000 but a handful earn millions, the mean income might be $80,000 while the median is still $40,000. The median represents what a typical person actually earns; the mean is pulled upward by the outliers.

How input parsing works

The calculator splits the input on commas, semicolons, whitespace and line breaks. Anything that converts to a number is included; anything else is silently skipped. So you can paste a column from a spreadsheet, including blank lines, and it just works. Negative numbers and decimals are supported.

Use with the other tools

For spread and uncertainty, the standard deviation calculator shows population and sample standard deviation and variance. For credit-weighted averages (where each value has a different weight), use the GPA calculator. For percentages on each value, the percentage calculator covers every common case.

Frequently asked questions

What is the average?

In everyday language "average" usually means the mean — the sum of all values divided by how many there are. In statistics there are three averages: mean, median (the middle value when sorted) and mode (the most frequent value).

How do I find the median?

Sort the numbers from low to high. If the count is odd, the median is the middle value. If the count is even, the median is the average of the two middle values. The calculator does this automatically.

What is the mode?

The mode is the value that appears most often. A data set can have one mode (unimodal), multiple modes (bimodal or multimodal), or no mode if every value occurs only once.

What is the range?

The range is the largest value minus the smallest value — the spread of the data from low to high. It is the simplest measure of variability, though standard deviation is more informative for most analyses.

When should I use median instead of mean?

When the data has outliers or is skewed. Median is unaffected by extreme values, so for income, house prices and reaction times the median often describes the "typical" value better than the mean.

How should I format my input?

Enter your numbers separated by commas, spaces or new lines. The calculator parses any mix. Non-numeric entries are skipped silently so you can paste from a spreadsheet without cleaning the text first.

Worked example

The data set: 12, 18, 7, 22, 18, 9, 15.

  • Sum = 12 + 18 + 7 + 22 + 18 + 9 + 15 = 101, count = 7
  • Mean = 101 ÷ 7 = 14.43
  • Sorted: 7, 9, 12, 15, 18, 18, 22 → median is the 4th value = 15
  • Mode = 18 (appears twice; everything else once)
  • Range = 22 − 7 = 15

The mean and median agree closely (14.43 vs 15), so the data is roughly symmetric. Add an outlier of 100 and the mean jumps to 26.4 while the median moves only to 16.5 — exactly the situation where median is the better summary.

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