- Count
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- Sum
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- Minimum
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- Maximum
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- Range
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- Std. deviation (population)
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- Std. deviation (sample)
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- Variance (sample)
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- Geometric mean
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- Q1 (25th pct.)
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- Q3 (75th pct.)
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- Interquartile range
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Sorted values
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Paste or type any list of numbers — separated by commas, spaces or line breaks — and get every common average and spread statistic at once.
How to use the Average Calculator
- 1 Paste your numbers into the box — any separator works.
- 2 Results update as you type; non-numeric entries are ignored and reported.
- 3 Copy any statistic, or check the sorted list underneath.
Formula
Mean = Σx ÷ n Median = middle value of the sorted list (average of the two middle values if n is even) Mode = most frequent value(s) σ = √(Σ(x − mean)² ÷ n) (population) s = √(Σ(x − mean)² ÷ (n − 1)) (sample)
Worked examples
Input: 68, 72, 75, 75, 79, 81, 84, 84, 84, 88, 90, 93, 97
Result: Mean 82.31
Median 84, mode 84
Mean, median or mode?
- Mean uses every value, but a few extreme values (outliers) can pull it a long way.
- Median is the middle value. It is robust to outliers, which is why house prices and incomes are usually reported as medians.
- Mode is the most common value — useful for categories and repeated measurements.
Population vs. sample standard deviation
Use the population figure when your list contains every member of the group you care about. Use the sample figure (divides by n − 1, Bessel's correction) when your numbers are a sample drawn from a larger population.
Frequently asked questions
How do I calculate the average of numbers?
Add them all up and divide by how many there are. That is the arithmetic mean.
What if there is no mode?
If every value appears only once, the data set has no mode.
Which quartile method is used?
Linear interpolation between closest ranks — the same method as Excel's PERCENTILE.INC and QUARTILE.INC.
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