Mean Calculator
Calculate arithmetic mean, geometric mean, harmonic mean, and trimmed mean for any data set. Free online statistics calculator with visual comparison charts.
About This Calculator
The Mean Calculator computes four types of averages for any set of numbers: arithmetic mean, geometric mean, harmonic mean, and trimmed mean. Simply enter your values as comma-separated numbers and get instant results with visual comparison charts. This tool is ideal for students, data analysts, researchers, and anyone working with statistical data who needs to understand central tendency from multiple perspectives.
The arithmetic mean is the sum of all values divided by the count of values -- the standard average everyone learns first. The geometric mean is the nth root of the product of n values, ideal for growth rates, investment returns, and any multiplicative process. The harmonic mean is the reciprocal of the average of reciprocals, used for averaging rates, speeds, and ratios like price-to-earnings. The trimmed mean (10%) removes the top and bottom 10% of values to reduce the influence of outliers on the result.
Regional Notes
This calculator is universally applicable across all regions (India, US, UK, and worldwide) since means are a fundamental mathematical concept used identically in statistics education and data analysis globally. The input format accepts any decimal separator commonly used.
How to use
Enter numbers separated by commas in the input field (e.g. 10, 20, 30, 40, 50) and click Calculate. The results display arithmetic mean, geometric mean, harmonic mean, trimmed mean, count, and sum alongside a comparison chart in bar and line modes. The geometric and harmonic means show N/A for data containing zero or negative values since those means require positive numbers.
Frequently Asked Questions
What is the arithmetic mean?
The arithmetic mean is the sum of all values divided by the number of values. It is the most common type of average used in statistics.
What is the difference between arithmetic mean, geometric mean, and harmonic mean?
Arithmetic mean is the sum divided by count. Geometric mean is the nth root of the product of n values, used for rates of change. Harmonic mean is the reciprocal of the average of reciprocals, used for rates and ratios.
When should I use geometric mean instead of arithmetic mean?
Use geometric mean for data involving rates of growth, investment returns, or any multiplicative process. For example, average investment returns over multiple years should use geometric mean, not arithmetic mean.
What is a trimmed mean?
A trimmed mean removes a specified percentage of the smallest and largest values before calculating the mean. It reduces the effect of outliers on the average.
When should I use harmonic mean?
Harmonic mean is best for averaging rates, ratios, or speeds. For example, calculating average speed across multiple trips of equal distance uses harmonic mean.
Is this tool free to use?
Yes, all calculators on Calculy are completely free to use with no registration required.
How do I calculate mean in Excel?
Use the AVERAGE function for arithmetic mean, GEOMEAN for geometric mean, and HARMEAN for harmonic mean. Enter your data range as the argument (e.g., =AVERAGE(A1:A10)).
What is the difference between sample mean and population mean?
Population mean (mu) is the average of all values in an entire population. Sample mean (x-bar) is the average of a subset. The sample mean estimates the population mean in inferential statistics.