Average Calculator

Calculate the mean, median, mode, count, and sum of any list of numbers.

Numbers (comma or newline separated)

About the Average Calculator

"Average" can mean several different things depending on context — mean, median, or mode all describe the center of a data set differently. This calculator computes all three at once from any list of numbers, along with the count and sum, so you can see the full picture.

How It Works

The calculator parses your list of numbers, then computes the mean by summing all values and dividing by the count, the median by sorting the values and finding the middle one (or averaging the two middle values for an even-sized list), and the mode by finding whichever value or values occur most frequently.

Mean = Sum / Count. Median = middle value of sorted list. Mode = most frequently occurring value(s).

Worked example

Scenario: The numbers 4, 8, 6, 5, 3 and 8.

Sum: 4 + 8 + 6 + 5 + 3 + 8 = 34; count: 6.
Mean: 34 ÷ 6 = 5.667.
Median: sorted 3, 4, 5, 6, 8, 8 → average of 5 and 6 = 5.5.
Mode: 8 (it appears twice); range: 8 − 3 = 5.

Result: Mean 5.667, median 5.5, mode 8.

Mean, median, and mode: which average should you use?

The mean uses every value and is useful when the data is reasonably balanced. The median is the middle value and is often more representative when a few unusually high or low values would distort the mean. The mode is the most frequent value and is useful for identifying the most common observation.

For example, in 10, 11, 12, 13, 54 the mean is 20, while the median is 12. The median better describes the center of this data because 54 is an outlier.

Tips and common mistakes

Outliers pull the mean but barely move the median — compare both.
Separate numbers with commas or new lines; any entry that isn't a number is flagged instead of skipped.
For a weighted average (like grades), use the GPA or Grade Calculator.

Assumptions & Limitations

Non-numeric entries in the list are ignored automatically rather than causing an error.
If no value repeats more than once, the mode is reported as 'None' since there is no single most-frequent value.

Mode reporting shows all values tied for most frequent if there is a tie, rather than picking just one arbitrarily.

Frequently Asked Questions

When should I use median instead of mean?

Median is more robust to outliers than mean — if your data set includes one or two extreme values, median often better represents the 'typical' value, while mean can be skewed significantly by outliers.

What does it mean if there is no mode?

If every value in your list appears exactly once, there is no repeated value, so the data set has no mode — this is reported as 'None' rather than an arbitrary choice.

Can I paste a long list of numbers?

Yes — the calculator accepts numbers separated by commas or new lines, so you can paste a long column of values copied from a spreadsheet directly into the field.

Which average should I use?

Use the mean for evenly spread data, the median when there are outliers (like incomes), and the mode for the most common value.

What if there's no repeated number?

Then there is no mode, and the calculator shows 'None'.

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