Average Calculator
Calculate arithmetic mean, median, mode, geometric mean, harmonic mean, and more — all in one tool.
Average Calculator
Mean, median, mode & more — all at once
Add numbers above or tap a preset
How to Use
- 1 Enter your numbers in the input fields — new fields appear automatically as you type
- 2 All averages (mean, median, mode, geometric mean, harmonic mean) are calculated instantly
- 3 View additional statistics: sum, count, min, max, range, and sorted data
- 4 Use preset examples for common datasets like grades, temperatures, or prices
- 5 Copy the full results summary to your clipboard with one click
What You Get
Complete average calculator supporting six types of averages: arithmetic mean, median, mode, geometric mean, harmonic mean, and range. Also shows sum, count, minimum, maximum, and sorted values. Handles up to 100 numbers with real-time calculation.
Input: Numbers: 85, 92, 78, 95, 88
Output: Mean: 87.6, Median: 88, Mode: No mode (all unique), Sum: 438
Input: Numbers: 2, 4, 4, 6, 8
Output: Mean: 4.8, Median: 4, Mode: 4, Geometric Mean: 4.27
Input: Numbers: 10, 20, 30
Output: Mean: 20, Median: 20, Harmonic Mean: ≈16.36, Range: 20
How do you calculate the average of a set of numbers?
To calculate the arithmetic average (mean), add up all the numbers and divide by how many numbers there are. For example, the average of 10, 20, and 30 is (10 + 20 + 30) ÷ 3 = 20. This is the most commonly used type of average.
What is the difference between mean, median, and mode?
Mean is the sum divided by the count (arithmetic average). Median is the middle value when numbers are sorted — if there is an even count, it is the average of the two middle values. Mode is the most frequently occurring number. For example, in the set {2, 3, 3, 5, 7}: mean = 4, median = 3, mode = 3.
What is the geometric mean and when should I use it?
The geometric mean is the nth root of the product of n numbers. It is best used for rates of change, growth rates, and ratios. For example, if an investment grows 10% one year and 20% the next, the geometric mean growth rate is √(1.10 × 1.20) − 1 ≈ 14.89%. It always gives a lower result than the arithmetic mean for positive numbers.
What is the harmonic mean?
The harmonic mean is the reciprocal of the arithmetic mean of the reciprocals. Formula: n ÷ (1/x₁ + 1/x₂ + ... + 1/xₙ). It is useful for averaging rates, speeds, and ratios. For example, if you drive 60 km/h for one trip and 40 km/h for the return, the average speed is not 50 km/h — it is the harmonic mean: 2 ÷ (1/60 + 1/40) = 48 km/h.
How do you find the median of an even set of numbers?
When you have an even number of values, sort them in order and take the average of the two middle numbers. For example, in {3, 5, 7, 9}, the two middle values are 5 and 7, so the median is (5 + 7) ÷ 2 = 6.
Can a data set have more than one mode?
Yes. A dataset is bimodal if two values appear with equal highest frequency (e.g., {1, 2, 2, 3, 3} has modes 2 and 3). It is multimodal if three or more values share the highest frequency. If all values appear exactly once, there is no mode.
What is the range of a data set?
The range is the difference between the largest and smallest values: Range = Max − Min. For example, in {4, 8, 15, 16, 23, 42}, the range is 42 − 4 = 38. It gives a quick measure of how spread out the data is, though it is sensitive to outliers.
How do I calculate my grade average?
Add up all your grades and divide by the number of grades. For example, if your test scores are 85, 92, 78, 95, and 88, then the average is (85 + 92 + 78 + 95 + 88) ÷ 5 = 87.6. For weighted grades (where assignments have different point values), use a weighted average instead.
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