Average Calculator
Calculate various types of averages including mean, median, mode, geometric mean, harmonic mean, and more. Features include charts, visualizations, step-by-step solutions, and calculation history.
Calculator
Results
Arithmetic Mean
0
Primary Average
Count
0
Min
-
Max
-
Range
-
All Average Types
Mean Gauge
Average Types Comparison
Data Distribution
Data Points with Mean & Median
Step-by-Step Solution
User Guide
How to Use
- Choose your input method: Individual inputs or comma-separated values
- Enter your numbers in the input fields
- Click 'Calculate Averages' to see all results
- View charts, step-by-step solutions, and detailed statistics
- Use 'Load Example Values' to see a sample calculation
Features
- Multiple average types: Mean, Median, Mode, Geometric Mean, Harmonic Mean, Quadratic Mean
- Interactive charts showing data distribution and comparisons
- Step-by-step solutions for all calculations
- Comprehensive statistics: Min, Max, Range, Sum
- Flexible input methods
- Export results as JSON
Average Types Explained
Arithmetic Mean
Sum of all numbers divided by the count. Most commonly used average.
Formula: (x₁ + x₂ + ... + xₙ) / n
Median
Middle value when numbers are sorted. Less affected by outliers.
Mode
Most frequently occurring value(s). May have multiple modes or none.
Geometric Mean
nth root of the product of all numbers. Useful for rates and ratios.
Formula: ⁿ√(x₁ × x₂ × ... × xₙ)
Harmonic Mean
Reciprocal of the arithmetic mean of reciprocals. Used for rates.
Formula: n / (1/x₁ + 1/x₂ + ... + 1/xₙ)
Quadratic Mean (RMS)
Square root of the mean of squares. Used in physics and engineering.
Formula: √((x₁² + x₂² + ... + xₙ²) / n)
Important Notes
- Geometric mean requires all numbers to be positive
- Harmonic mean requires all numbers to be non-zero
- Mode may not exist if all values are unique
- Median is more robust to outliers than mean
- You can add or remove input fields as needed