Statistics Calculator
Calculate mean, median, mode, range, variance, and standard deviation for any data set.
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Mean (Average)
—
Sum / Count
Median
—
Middle value
Mode
—
Most frequent
Range
—
Max - Min
Variance
—
Population
Std Deviation
—
Population
Sum
—
Total of all
Count
—
n values
Statistical Formulas
Mean (Average)
x̄ = (x₁ + x₂ + ... + xₙ) / n
Sum of all values divided by the count of values.
Median
Middle value when sorted
For odd n: middle value. For even n: average of two middle values.
Mode
Most frequent value(s)
The value(s) that appear most often in the data set.
Variance (Population)
σ² = Σ(x - μ)² / n
Average of squared deviations from the mean.
Standard Deviation
σ = √Variance
Square root of variance. Measures data spread.
Range
Range = Max - Min
Difference between largest and smallest values.