Statistics

Mean Calculator

Calculate different types of mean values including arithmetic, geometric, harmonic, and weighted mean with step-by-step solutions and formulas.

Sum of all values divided by the count. Best for general averaging.

Mean Calculator - Arithmetic, Geometric & Harmonic

Calculate different types of mean values instantly. Our comprehensive mean calculator supports arithmetic mean (average), geometric mean (for growth rates), harmonic mean (for rates), and weighted mean (when values have different importance). Get detailed step-by-step solutions with formulas.

What is the Mean?

The mean is a measure of central tendency that represents the average value of a dataset. There are several types of means: arithmetic mean (sum divided by count), geometric mean (nth root of the product), harmonic mean (reciprocal of arithmetic mean of reciprocals), and weighted mean (accounts for different importance of values).

Arithmetic Mean Formula

x̄ = Σx / n

How to Use This Calculator

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Mean Calculator Applications

Academic Research

Calculate various means for statistical analysis and data interpretation.

Investment Analysis

Use geometric mean for average returns over multiple periods.

Engineering

Apply harmonic mean for parallel resistance and acoustic calculations.

Grade Calculations

Calculate weighted averages for courses with different credit values.

Frequently Asked Questions

Use geometric mean when dealing with multiplicative relationships, such as growth rates, compound interest, or ratios. For example, if an investment grows 10% one year and 20% the next, geometric mean gives the true average growth rate, while arithmetic mean would overestimate it.