Average Calculator
Calculate arithmetic mean, weighted average and moving average. Median, mode, standard deviation, min, max and range are also shown automatically.
Enter one number per row. Add as many rows as you need.
Maximum 20 numbers allowed.
Enter a value and weight for each row. (e.g. Grade=85, Weight=3)
Maximum 15 rows allowed.
Enter one number per row, then choose the window size.
Maximum 20 numbers allowed.
How to Calculate an Average
This free average calculator finds the mean of any set of numbers in one click. If you want to know how to calculate average values by hand, an average (or mean) describes the central value of a data set: to find the average, add all the values, then divide by the count. Example: the mean of 55, 70, 80, 65 and 90 is (55+70+80+65+90) ÷ 5 = 360 ÷ 5 = 72.
What Is Arithmetic Mean?
Arithmetic mean is the sum of n numbers divided by n: x̄ = Σxᵢ / n. When people say "average" in everyday life they almost always mean the arithmetic mean. The Arithmetic tab in this tool shows the mean alongside median, mode, standard deviation, geometric mean, harmonic mean, minimum and maximum — all at once.
What Is Geometric Mean?
Geometric mean is the n-th root of the product of n numbers: GM = ⁿ√(x₁ × x₂ × … × xₙ). It is more appropriate than the arithmetic mean for growth rates, investment returns and proportional changes. For example, the geometric mean of 10% and 20% growth is ≈ 14.9%, not 15%.
Types of Average — Comparison Table
| Average Type | Formula | Best Used For | Outlier Sensitivity |
|---|---|---|---|
| Arithmetic | Σx ÷ n | Grades, scores, general purpose | High |
| Geometric | ⁿ√(x₁×…×xₙ) | Growth rates, investment returns | Medium |
| Harmonic | n ÷ Σ(1/xᵢ) | Speed, ratios, price/earnings | Low |
| Weighted | Σ(xᵢ×wᵢ) ÷ Σwᵢ | GPA, course grades | High |
| Median | Middle value (sorted) | Income, property prices | Very low |
| Moving | Sliding window mean | Stock prices, weather, sales | Medium |
Weighted Average: GPA and Grade Average Calculator
A weighted average gives different items different levels of importance. Formula: Σ(value × weight) ÷ Σweight. This makes the tool a practical grade average calculator and exam average calculator: it is used to calculate GPA (grade point average), course averages with different credit hours, and any situation where items count differently. Enter each grade as the value and its credit or weight, and the weighted result is your true average rather than a simple unweighted one.
Example: a 3-credit course graded A (4.0) and a 5-credit course graded B (3.0) → GPA = (3×4.0 + 5×3.0) ÷ (3+5) = 27 ÷ 8 = 3.375. Enter the grade (value) and credit hours (weight) in the Weighted tab to calculate this instantly.
Moving Average
A moving average smooths a sequence of numbers by averaging successive windows. It is widely used in stock-price analysis (e.g. 7-day or 200-day moving average), weather data and sales forecasting. Choose the window size that matches your data: a smaller window reacts faster to changes, a larger window gives a smoother trend line.
Mean, Median, Mode and Standard Deviation
The mean alone does not fully describe a data set, which is why the classic mean median mode trio is reported together. Beyond the mean, this average calculator also shows these supporting measures:
- Standard deviation (σ): How spread out values are from the mean. Low σ = clustered near the mean; high σ = widely spread.
- Median: The middle value in a sorted list. Resistant to outliers — preferred for income and property-price analysis.
- Mode: The most frequently occurring value. A data set can have more than one mode.
- Range: Maximum − Minimum. Shows how wide the data spread is.
All of these are calculated automatically in the Arithmetic tab alongside the mean.
Which Average Should You Use?
Different situations call for different kinds of average, and picking the right one changes your answer:
- Arithmetic mean — the default for test scores, measurements and most everyday data where each value counts equally.
- Weighted average — when items have different importance, such as a grade average calculator where credit hours or exam weights differ.
- Geometric mean — for rates, ratios and growth (interest, returns, population), where values multiply rather than add.
- Median — when a few extreme values would distort the mean, such as income or house prices; the median resists outliers.
For students, the most common need is averaging marks. Used as a grade average calculator or exam average calculator, enter your scores in the simple mode for an equal-weight average, or switch to the weighted mode when each course or exam carries a different credit. The tool reports the result instantly along with the supporting statistics, so you can check both your raw average and how spread out your scores are.
Everyday Uses for an Average Calculator
- Academic grades: Arithmetic or weighted mean for course and semester averages.
- Monthly spending: Sum 12 months of expenses and divide by 12 for a monthly average — essential for budgeting.
- Sports stats: Goals per game, points per match — all arithmetic means.
- Weather: Mean high and low temperatures for monthly and annual climate reports.
- Finance: Moving average of stock prices for buy/sell signals; geometric mean for portfolio returns.
In short, knowing how to find the average is one of the most useful everyday math skills — and this tool removes the manual work. Enter your numbers, pick the right type of average for your situation, and read the result together with the median, mode and standard deviation for a complete picture. See the frequently asked questions below for worked examples of each method.
Frequently Asked Questions About the Average Calculator
The arithmetic mean is the sum of all values divided by the count. Formula: x̄ = Σx ÷ n. When people say "average" they almost always mean this. For example, the mean of 60, 70 and 80 is (60+70+80) ÷ 3 = 70.
Geometric mean is the n-th root of the product of n numbers: GM = ⁿ√(x₁ × x₂ × … × xₙ). It is better than the arithmetic mean for growth rates and investment returns. For example, the geometric mean of 10% and 20% growth is ≈ 14.9%, not 15%.
Multiply each value by its weight, sum all the products, then divide by the total weight: Weighted Average = Σ(value × weight) ÷ Σweight. Use the Weighted tab to enter grade values and credit hours for instant GPA calculation.
The arithmetic mean treats all values equally; the median is the middle value in a sorted list. If a data set has extreme outliers, the mean can be misleading — the median is more reliable in that case. Income distribution analysis typically uses the median.
A moving average smooths out short-term fluctuations to reveal trends. It is widely used in stock-price analysis, weather data and sales forecasting. Choose the window size depending on how much smoothing you need.
Standard deviation measures how spread out the values are from the mean. Low standard deviation means values cluster near the mean; high means they are widely spread. This tool calculates population standard deviation (σ) automatically alongside the mean.
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