Statistics Tool

Average Calculator

Calculate the arithmetic, geometric, and harmonic means for any set of numbers.

Σ The Formula

AM = Σx / n

Real World Examples

Simple Series
10, 20, 30 → Mean: 20
Growth Rates
1.1, 1.2, 1.5 → Geometric Mean: 1.25
Speeds
40, 60 → Harmonic Mean: 48

# About This Calculator

The average (or mean) is a central value of a set of numbers. While most people are familiar with the Arithmetic Mean, mathematics and statistics often require other types of averages for specific scenarios.

- Arithmetic Mean: The standard average. Use this for general data sets. - Geometric Mean: Used for growth rates, financial returns, and ratios. It is less sensitive to extreme outliers. - Harmonic Mean: Used for rates, such as average speed or density.

This tool provides all three averages simultaneously, allowing you to compare how different calculation methods affect the "center" of your data.

How To Use

  1. Enter your numbers separated by commas, spaces, or new lines.
  2. Click **Calculate Averages**.
  3. View the breakdown for Arithmetic (sum-based), Geometric (product-based), and Harmonic (reciprocal-based) means.

Frequently Asked Questions

When should I use the Geometric Mean?+

Use it when dealing with percentages or growth. If your investments grew by 10% then 20%, the arithmetic mean of 15% is actually wrong for calculating the final value; the geometric mean provides the correct compounded rate.

Why is the Harmonic Mean used for speed?+

If you drive 40 mph to a destination and 60 mph back, your average speed is NOT 50 mph. Because you spent more time at the slower speed, the average is the harmonic mean: 48 mph.

Is Average Calculator free to use?+

Yes, Average Calculator on Matheric is completely free to use. We believe in accessible education and utility for everyone.

How accurate is Average Calculator?+

We use standard mathematical formulas and high-precision computing algorithms to ensure results for Average Calculator are accurate for academic and professional use.

Can I use Average Calculator on my phone?+

Yes! Average Calculator is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.

Do you save my data?+

No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.

About

The average (or mean) is a central value of a set of numbers. While most people are familiar with the Arithmetic Mean, mathematics and statistics often require other types of averages for specific scenarios.

- Arithmetic Mean: The standard average. Use this for general data sets. - Geometric Mean: Used for growth rates, financial returns, and ratios. It is less sensitive to extreme outliers. - Harmonic Mean: Used for rates, such as average speed or density.

This tool provides all three averages simultaneously, allowing you to compare how different calculation methods affect the "center" of your data.

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