Harmonic Mean
Harmonic Mean tool
📖 How to Use Click to view detailed usage instructions
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📖 How to Use
Click to view detailed usage instructions
Features
The Harmonic Mean Calculator is a professional online statistical tool for calculating the harmonic mean of a set of positive numbers.
Main Features
1. Harmonic Mean Calculation
Enter positive numbers to calculate the harmonic mean
2. Detailed Formula Display
Shows each number's reciprocal and their sum process
3. Multiple Numbers
Supports any number of positive inputs
4. Error Handling
Provides friendly prompts for 0 or negative inputs
5. One-Click Copy
Calculation results can be copied to clipboard with one click
How to Use
- Enter multiple positive numbers, separated by spaces, commas, or newlines
- Click the "Calculate Harmonic Mean" button to get the result
- If you need to copy the result, click the "Copy Result" button
Use Cases
- Speed Calculation: Average speed of round trips
- Density Calculation: Average density
- Resistance Calculation: Parallel resistance average
- Price Calculation: Unit price average
FAQ
What is Harmonic Mean?
Harmonic mean is the reciprocal of the average of reciprocals of n positive numbers. For example: the harmonic mean of 2 and 4 is 2/(1/2+1/4) = 8/3 ≈ 2.67
What is the harmonic mean formula?
Harmonic Mean = n / Σ(1/xi)
What's the relationship between the three means?
Harmonic Mean ≤ Geometric Mean ≤ Arithmetic Mean