General
Average Calculator
Calculate mean, median, mode, range, standard deviation, weighted average, and geometric mean. Paste a list or enter numbers one by one — full statistical summary in real time.
Supports comma, space, tab, or newline as separator
Values and Weights
Enter numbers and click Calculate
How is this calculated?
Arithmetic Mean = Σx ÷ n
Median = middle value (sorted), average of two middle if even count
Mode = most frequent value(s)
Range = max − min
Standard Deviation (σ) = √(Σ(x − mean)² ÷ n)
Weighted Average = Σ(value × weight) ÷ Σ(weights)
Geometric Mean = ⁿ√(x₁ × x₂ × ... × xₙ)
Harmonic Mean = n ÷ Σ(1/xᵢ)FAQ
Frequently asked questions about averages
How do I calculate the average of numbers?
Add all numbers together and divide by how many numbers there are. For example, the average of 10, 20, and 30 is (10+20+30)÷3 = 20. This gives you the arithmetic mean, the most common type of average.
What is the difference between mean, median, and mode?
Mean is the sum divided by count (classic average). Median is the middle value when numbers are sorted. Mode is the most frequently occurring value. Use median when you have outliers, mode for categorical data.
How do I calculate a weighted average?
Multiply each value by its weight, sum the products, then divide by the sum of all weights. Formula: Σ(value × weight) ÷ Σ(weights). Common in GPA calculation where courses have different credit hours.
What is geometric mean used for?
Geometric mean is used for growth rates, investment returns, and ratios. It multiplies all values then takes the nth root. Use it when values are multiplied together (like compound interest) rather than added.
How do I find the average in Excel?
Use =AVERAGE(A1:A10) for arithmetic mean, =MEDIAN(A1:A10) for median, =MODE(A1:A10) for mode. For weighted average use =SUMPRODUCT(values, weights)/SUM(weights). Our calculator gives all these instantly.
Is this average calculator free?
Yes, completely free with no sign-up required. All calculations run in your browser — your data stays on your device and is never sent to any server.