H.M = n / (1/x1 + 1/x2 + 1/x3 + ... + 1/x2)
Harmonic Mean Calculator
What is a Harmonic Mean Calculator?
A Harmonic Mean Calculator computes the harmonic mean of a set of numbers, which is the reciprocal of the arithmetic mean of the reciprocals. The formula is:

where:
- n = total number of values
- xi = each individual value
Why is a Harmonic Mean Calculator Important?
- Helps in averaging rates (e.g., speed, density, resistances)
- More accurate for data with large variations
- Used in finance, physics, and engineering for proportional calculations
How Does It Work?
- Take the reciprocal of each number
- Find their average
- Take the reciprocal of that average to get the harmonic mean
Example: For 3, 4, and 6:

When is a Harmonic Mean Calculator Used?
- Physics: Calculating average speed when distance is constant
- Finance: Computing average price-to-earnings ratio (P/E ratio)
- Statistics: Used in F1-score in machine learning
- Engineering: Parallel resistance calculations in electrical circuits