Average Calculator
Compute arithmetic, geometric, harmonic, and weighted means, with median, mode, standard deviation and box plot.
Your numbers
Updates as you typeMean type
Which mean? ?
Dataset
Enter numbers ?
—
Load example:
Weights ?
—
Display (optional)
Decimal places
Distribution
Box plot · whiskers reach 1.5×IQROutliers detected
Sorted values
AscendingShow / hide values
—
Formula
Arithmetic mean
x̄
=
x1 + x2 + … + xn
n
Median
M
=
middle value of the sorted set; mean of the two middles when n is even
Sample standard deviation
s
=
√
(
Σ (xi − x̄)2
n − 1
)
- x̄
- Arithmetic mean of the dataset
- xi
- The i-th value in the dataset
- n
- Count of values
- s
- Sample standard deviation (uses n − 1, Bessel's correction)
- Q1, Q3
- First and third quartile (25th and 75th percentile)
- IQR
- Inter-quartile range = Q3 − Q1; outliers fall beyond Q1 − 1.5·IQR or Q3 + 1.5·IQR
Worked example — your numbers
- Values (n = —): —
- Sum Σx = —
- Mean = sum / n x̄ = —
- Squared deviations Σ(x − x̄)² = —
- Sample std. dev. s = √(Σ(x − x̄)² / (n − 1)) = —
The geometric mean is the n-th root of the product of values — use it for ratios and compounded growth rates. The harmonic mean is n divided by the sum of reciprocals — use it when averaging speeds or other rates per unit. Both require strictly positive values.