Average Calculator (Mean, Median, Mode)
Calculate the mean (arithmetic average), median (middle value), mode (most frequent), range, and standard deviation of any list of numbers.
Inputs
Decimals OK. Negative numbers OK.
Mean (arithmetic average)
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Median
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Mode(s)
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Range
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Standard deviation (population)
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Count
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About Average Calculator (Mean, Median, Mode)
Mean vs median vs mode
Mean: sum ÷ count, sensitive to outliers. Median: middle value when sorted, robust to outliers. Mode: most frequent — useful for categorical or discrete data.
When to use which
Symmetric data: mean. Skewed data (income, home prices): median. Categorical or discrete frequencies: mode. Report multiple measures when in doubt.
Population vs sample std dev
This calculator uses population std dev (divide by N). For sample std dev (divide by N−1, an unbiased estimator), use the Standard Deviation calculator.